uc berkeley math phd program

Mathematics

About the Program

Bachelor of arts (ba).

The Department of Mathematics offers an undergraduate major in Mathematics leading to the Bachelor of Arts (BA) degree. The program provides an excellent preparation for advanced degrees in math, physical sciences, economics, and industrial engineering as well as graduate study in business, education, law, and medicine. The program also pr epares students for post-baccalaureate positions in business, technology, industry, teaching, government, and finance.

Students majoring in Mathematics may choose to major with a teaching concentration. The teaching concentration is designed to increase the number and quality of math teachers.

Admission to the Major

Students should contact a mathematics undergraduate advisor. Contact information is available on the contact tab or   here.

Honors Program

In addition to completing the requirements for the major in mathematics, students in the honors program must:

• Earn a grade point average (GPA) of at least 3.5 in upper division and graduate courses in the major and  at   least  3.3 in all courses taken at the University.
• Complete either MATH 196 , in which they will write a senior honors thesis, or pass two graduate mathematics courses with a grade of at least A-.
• Receive the recommendation of the head major advisor.

Students interested in the honors program should consult with an advisor early in their program, preferably by their junior year.

Minor Program

The department offers a minor in Mathematics.

Other Major Offered by the Department of Mathematics

Applied Mathematics  (Major only)

Visit Department Website

Major Requirements

In addition to the University, campus, and college requirements, listed on the College Requirements tab, students must fulfill the below requirements specific to their major program.

General Guidelines

• All courses taken to fulfill the major requirements below must be taken for graded credit, other than courses listed which are offered on a  Pass/No Pass  basis only. Exceptions will be made for major courses taken in Spring 2020, Fall 2020, Spring 2021, and Summer 2021. Other exceptions to this requirement are noted as applicable.
• No more than one upper division course may be used to simultaneously fulfill requirements for a student's major and minor programs, with the exception of minors offered outside of the College of Letters & Science.
• A minimum grade point average (GPA) of 2.0 must be maintained in both upper and lower division courses used to fulfill the major requirements.

For information regarding residence requirements and unit requirements, please see the College Requirements tab.

Major Requirements: Mathematics

For students double-majoring in Physics,  PHYSICS 89  may be substituted, provided that the grade is at least a C.

For students double-majoring in Computer Science or Electrical Engineering and Computer Sciences,  EECS 16A  plus  EECS 16B   may be substituted,  provided that the grades are at least a C.

For students double-majoring in Computer Science or Electrical Engineering and Computer Sciences,  COMPSCI 70  may be substituted,  provided that the grade is at least a C.

These two electives must receive the Faculty Advisor's written approval on the Course Approval Form which is then returned to an Undergraduate Advisor in 964 or 965 Evans for the student's file. Courses in other departments may count toward this requirement provided they have substantial mathematical content and are offered for at least 3 units each. 

Math 91 (Fall 2022 only) may be taken in lieu of Math 54. 

Minor Requirements

Students who have a strong interest in an area of study outside their major often decide to complete a minor program. These programs have set requirements.

• All minors must be declared no later than one semester before a student's Expected Graduation Term (EGT). If the semester before EGT is fall or spring, the deadline is the last day of RRR week. If the semester before EGT is summer, the deadline is the final Friday of Summer Sessions. To declare a minor, contact the department advisor for information on requirements, and the declaration process.
• All courses taken to fulfill the minor requirements below must be taken for graded credit.
• A minimum of three of the upper division courses taken to fulfill the minor requirements must be completed at UC Berkeley.
• A minimum grade point average of 2.0 is required for the lower division minor requirements as well as for the five upper division courses used for the minor.
• Courses used to fulfill the minor requirements may be applied toward the Seven-Course Breadth requirement, for Letters & Science students.
• No more than one upper division course may be used to simultaneously fulfill requirements for a student's major and minor programs.
• All minor requirements must be completed prior to the last day of finals during the semester in which the student plans to graduate. 
• All minor requirements must be completed within the unit ceiling. (For further information regarding the unit ceiling, please see the College Requirements tab.)

For students double-majoring in Physics,  PHYSICS 89  may be substituted for  MATH 54 , provided that the grade is at least a C.

For students double-majoring in Computer Science or Electrical Engineering and Computer Sciences,  EECS 16A  plus  EECS 16B  may be substituted for  MATH 54 ,  provided that the grades are at least a C.

 Requirements

College Requirements

Undergraduate students must fulfill the following requirements in addition to those required by their major program.

For a detailed lists of L&S requirements, please see Overview tab to the right in this guide or visit the L&S Degree Requirements webpage. For College advising appointments, please visit the L&S Advising Pages. 

University of California Requirements

Entry level writing.

All students who will enter the University of California as freshmen must demonstrate their command of the English language by fulfilling the Entry Level Writing requirement. Fulfillment of this requirement is also a prerequisite to enrollment in all reading and composition courses at UC Berkeley and must be taken for a letter grade. 

American History and American Institutions

The American History and American Institutions requirements are based on the principle that all U.S. residents who have graduated from an American university should have an understanding of the history and governmental institutions of the United States.

Berkeley Campus Requirement

American cultures.

All undergraduate students at Cal need to take and pass this campus requirement course in order to graduate. The requirement offers an exciting intellectual environment centered on the study of race, ethnicity and culture of the United States. AC courses are plentiful and offer students opportunities to be part of research-led, highly accomplished teaching environments, grappling with the complexity of American Culture.

College of Letters & Science Essential Skills Requirements

Quantitative reasoning.

The Quantitative Reasoning requirement is designed to ensure that students graduate with basic understanding and competency in math, statistics, or computer/data science. The requirement may be satisfied by exam or by taking an approved course taken for a letter grade.

Foreign Language

The Foreign Language requirement may be satisfied by demonstrating proficiency in reading comprehension, writing, and conversation in a foreign language equivalent to the second semester college level, either by passing an exam or by completing approved course work taken for a letter grade.

Reading and Composit ion

In order to provide a solid foundation in reading, writing, and critical thinking the College of Letters and Science requires two semesters of lower division work in composition in sequence. Students must complete parts A & B reading and composition courses in sequential order by the end of their fourth semester for a letter grade.

College of Letters & Science 7 Course Breadth Requirements

Breadth requirements.

The undergraduate breadth requirements provide Berkeley students with a rich and varied educational experience outside of their major program. As the foundation of a liberal arts education, breadth courses give students a view into the intellectual life of the University while introducing them to a multitude of perspectives and approaches to research and scholarship. Engaging students in new disciplines and with peers from other majors, the breadth experience strengthens interdisciplinary connections and context that prepares Berkeley graduates to understand and solve the complex issues of their day.

Unit Requirements

120 total units

Of the 120 units, 36 must be upper division units

• Of the 36 upper division units, 6 must be taken in courses offered outside your major department

Residence Requirements

For units to be considered in "residence," you must be registered in courses on the Berkeley campus as a student in the College of Letters & Science. Most students automatically fulfill the residence requirement by attending classes at Cal for four years, or two years for transfer students. In general, there is no need to be concerned about this requirement, unless you graduate early, go abroad for a semester or year, or want to take courses at another institution or through UC Extension during your senior year. In these cases, you should make an appointment to meet an L&S College adviser to determine how you can meet the Senior Residence Requirement.

Note: Courses taken through UC Extension do not count toward residence.

Senior Residence Requirement

After you become a senior (with 90 semester units earned toward your B.A. degree), you must complete at least 24 of the remaining 30 units in residence in at least two semesters. To count as residence, a semester must consist of at least 6 passed units. Intercampus Visitor, EAP, and UC Berkeley-Washington Program (UCDC) units are excluded.

You may use a Berkeley Summer Session to satisfy one semester of the Senior Residence requirement, provided that you successfully complete 6 units of course work in the Summer Session and that you have been enrolled previously in the college.

Modified Senior Residence Requirement

Participants in the UC Education Abroad Program (EAP), Berkeley Summer Abroad, or the UC Berkeley Washington Program (UCDC) may meet a Modified Senior Residence requirement by completing 24 (excluding EAP) of their final 60 semester units in residence. At least 12 of these 24 units must be completed after you have completed 90 units.

Upper Division Residence Requirement

You must complete in residence a minimum of 18 units of upper division courses (excluding UCEAP units), 12 of which must satisfy the requirements for your major.

Student Learning Goals

Learning goals for the major.

Mathematics is the language of science. In Galileo’s words:

Philosophy is written in this grand book, the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and read the characters in which it is written. It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is impossible to understand a single word of it. Without those, one is wandering in a dark labyrinth.

Mathematics majors learn the internal workings of this language, its central concepts and their interconnections. These involve structures going far beyond the geometric figures to which Galileo refers. Majors also learn to use mathematical concepts to formulate, analyze, and solve real-world problems. Their training in rigorous thought and creative problem-solving is valuable not just in science, but in all walks of life.

By the time of graduation, majors should have acquired the following knowledge and skills:

• An understanding of the basic rules of logic.
• The ability to distinguish a coherent argument from a fallacious one, both in mathematical reasoning and in everyday life.
• An understanding of the role of axioms or assumptions.
• The ability to abstract general principles from examples.
• The ability to recognize which real-world problems are subject to mathematical reasoning.
• The ability to make vague ideas precise by representing them in mathematical notation, when appropriate.
• Techniques for solving problems expressed in mathematical notation.
• The ability to formulate a mathematical statement precisely.
• The ability to write a coherent proof.
• The ability to present a mathematical argument verbally.
• Majors in Mathematics with a Teaching Concentration should acquire familiarity with techniques for explaining K-12 mathematics in an accessible and mathematically correct manner.
• Sufficient experience in mathematical language and foundational material to be well-prepared to extend one’s mathematical knowledge further through independent reading.
• Exposure to and successful experience in solving mathematical problems presenting substantial intellectual challenge.

Major maps are experience maps that help undergraduates plan their Berkeley journey based on intended major or field of interest. Featuring student opportunities and resources from your college and department as well as across campus, each map includes curated suggestions for planning your studies, engaging outside the classroom, and pursuing your career goals in a timeline format.

Use the major map below to explore potential paths and design your own unique undergraduate experience:

View the Mathematics Major Map.

The Math Department has a small team of  undergraduate advisors  who specialize in information on requirements, policies, procedures, resources, opportunities, untying bureaucratic knots, developing study plans, attending commencement, and certifying degrees and minors. Students are strongly encouraged to see an undergraduate advisor at least twice a year.

Faculty advisors are also available to students.  Faculty advisors approve major electives which are not already pre-approved and listed on our website and can also approve courses from study abroad or other 4 year institutions towards a student’s upper-division major requirements. Appropriate questions for the faculty adviser include selection of electives and preparation for graduate level courses in a specific mathematical area to be used for honors in the major. Be sure and let him/her know if you are considering graduate work in or related to mathematics, and if you need to solicit help in how best to prepare.

We also encourage students to take advantage of the expertise of the  Math Department’s  Peer Advisors. They can provide a student perspective on courses, instructors, effective study habits, and enrichment opportunities.  They hold office hours, host events, record a podcast, and post interesting information on the Ed Discussion forum. 

Information about all of the above Math Department advising resources can be found  here .

MATH 1 Foundations of Lower Division Mathematics 2 Units

Terms offered: Fall 2024, Summer 2024 3 Week Session, Fall 2023 This course aims to bring students with varying Math backgrounds up-to-speed with the expectations of UC Berkeley’s lower division mathematics courses. This course will support comprehension of the fundamental concepts necessary to excel in Math 16A/16B, 1A/1B, 10A/10B, and beyond. You can take this prep course concurrently with or prior to your Calculus classes. The course curriculum covers algebraic operations, laws of exponents and logarithms, inequalities and absolute values, single-variable function properties, polynomials, power and exponential functions, logarithmic functions, trigonometric functions, coordinate geometry in two and three dimensions, complex numbers, and functions of several variables. Foundations of Lower Division Mathematics: Read More [+]

Hours & Format

Fall and/or spring: 7.5 weeks - 3 hours of lecture and 3 hours of discussion per week

Summer: 3 weeks - 5 hours of lecture and 5 hours of discussion per week

Additional Format: Three hours of lecture and three hours of discussion per week for seven and one-half weeks. Five hours of lecture and five hours of discussion per week for three weeks.

Additional Details

Subject/Course Level: Mathematics/Undergraduate

Grading/Final exam status: Offered for pass/not pass grade only. Alternative to final exam.

Foundations of Lower Division Mathematics: Read Less [-]

MATH 1A Calculus 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Spring 2024 This course is intended for STEM majors. An introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions. Calculus: Read More [+]

Rules & Requirements

Prerequisites: Three and one-half years of high school math, including trigonometry and analytic geometry. Students with high school exam credits (such as AP credit) should consider choosing a course more advanced than 1A

Credit Restrictions: Students will receive no credit for MATH 1A after completing MATH N1A , MATH 16B , Math N16B or XMATH 1A . A deficient grade in MATH 1A may be removed by taking MATH N1A .

Fall and/or spring: 15 weeks - 3 hours of lecture and 3 hours of discussion per week

Summer: 8 weeks - 6 hours of lecture and 2 hours of discussion per week

Additional Format: Three hours of lecture and three hours of discussion per week. Six hours of lecture and two hours of discussion per week for 8 weeks.

Grading/Final exam status: Letter grade. Final exam required.

Calculus: Read Less [-]

MATH 1B Calculus 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations. Calculus: Read More [+]

Prerequisites: 1A or N1A

Credit Restrictions: Students will receive no credit for Math 1B after completing Math N1B, H1B, Xmath 1B. A deficient grade in MATH 1B may be removed by taking MATH N1B or MATH H1B .

Fall and/or spring: 15 weeks - 3-3 hours of lecture and 2-3 hours of discussion per week

Additional Format: Three hours of lecture and two to three hours of discussion per week.

MATH H1B Honors Calculus 4 Units

Terms offered: Fall 2015, Fall 2014, Fall 2013 Honors version of 1B. Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations. Honors Calculus: Read More [+]

Prerequisites: 1A

Credit Restrictions: Students will receive no credit for Mathematics H1B after completing Mathematics 1B or N1B.

Fall and/or spring: 15 weeks - 3 hours of lecture and 2 hours of discussion per week

Summer: 8 weeks - 5 hours of lecture and 5 hours of discussion per week

Additional Format: Three hours of lecture and two hours of discussion per week. Five hours of lecture and five hours of discussion per week for 8 weeks.

Honors Calculus: Read Less [-]

MATH N1A Calculus 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session This sequence is intended for majors in engineering and the physical sciences. An introduction to differential and integral calculus of functions of one variable, with applications and an introduction to transcendental functions. Calculus: Read More [+]

Credit Restrictions: Students will receive no credit for MATH N1A after completing MATH 1A , MATH 16B or MATH N16B . A deficient grade in MATH N1A may be removed by taking MATH 1A .

Summer: 8 weeks - 10 hours of lecture per week

Additional Format: Ten hours of lecture per week for 8 weeks.

MATH N1B Calculus 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session Continuation of 1A. Techniques of integration; applications of integration. Infinite sequences and series. First-order ordinary differential equations. Second-order ordinary differential equations; oscillation and damping; series solutions of ordinary differential equations. Calculus: Read More [+]

Credit Restrictions: Students will receive no credit for Math N1B after completing Math 1B, H1B, or Xmath 1B. A deficient grade in N1B may be removed by completing Mathematics 1B or H1B.

MATH 10A Methods of Mathematics: Calculus, Statistics, and Combinatorics 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 The sequence Math 10A, Math 10B is intended for majors in the life sciences. Introduction to differential and integral calculus of functions of one variable, ordinary differential equations, and matrix algebra and systems of linear equations. Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read More [+]

Prerequisites: Three and one-half years of high school math, including trigonometry and analytic geometry. Students who have not had calculus in high school are strongly advised to take the Student Learning Center's Math 98 adjunct course for Math 10A; contact the SLC for more information

Credit Restrictions: Students will receive no credit for Mathematics 10A after completing Mathematics N10A. A deficient grade in Math 10A may be removed by taking Math N10A.

Additional Format: Three hours of lecture and three hours of discussion per week.

Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read Less [-]

MATH 10B Methods of Mathematics: Calculus, Statistics, and Combinatorics 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 The sequence Math 10A, Math 10B is intended for majors in the life sciences. Elementary combinatorics and discrete and continuous probability theory. Representation of data, statistical models and testing. Sequences and applications of linear algebra. Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read More [+]

Prerequisites: Continuation of 10A

Credit Restrictions: Students will receive no credit for Mathematics 10B after completing Mathematics N10B. A deficient grade in Math 10B may be removed by taking Math N10B.

MATH N10A Methods of Mathematics: Calculus, Statistics, and Combinatorics 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session The sequence Math 10A, Math 10B is intended for majors in the life sciences. Introduction to differential and integral calculus of functions of one variable, ordinary differential equations, and matrix algebra and systems of linear equations. Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read More [+]

Credit Restrictions: Students will receive no credit for Math N10A after completing Math 10A. A deficient grade in Math N10A may be removed by completing Math 10A.

MATH N10B Methods of Mathematics: Calculus, Statistics, and Combinatorics 4 Units

Terms offered: Summer 2021 8 Week Session, Summer 2020 8 Week Session, Summer 2019 8 Week Session The sequence Math 10A, Math 10B is intended for majors in the life sciences. Elementary combinatorics and discrete and continuous probability theory. Representation of data, statistical models and testing. Sequences and applications of linear algebra. Methods of Mathematics: Calculus, Statistics, and Combinatorics: Read More [+]

Prerequisites: Math 10A or N10A

Credit Restrictions: Students will receive no credit for Math N10B after completing Math 10B. A deficient grade in Math N10B may be removed by completing Math 10B.

MATH 16A Analytic Geometry and Calculus 3 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Calculus of one variable; derivatives, definite integrals and applications, maxima and minima, and applications of the exponential and logarithmic functions. This course is intended for business and social science majors. (See also the Math 1 sequence.) Analytic Geometry and Calculus: Read More [+]

Prerequisites: Three years of high school math, including trigonometry. Consult the mathematics department for details

Credit Restrictions: Students will receive no credit for 16A after taking N16A, 1A, or N1A. A deficient grade in Math 16A may be removed by taking Math N16A.

Fall and/or spring: 15 weeks - 3 hours of lecture and 1.5 hours of discussion per week

Additional Format: Three hours of lecture and one and one-half hours of discussion per week.

Analytic Geometry and Calculus: Read Less [-]

MATH 16B Analytic Geometry and Calculus 3 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization. Analytic Geometry and Calculus: Read More [+]

Prerequisites: 16A

Credit Restrictions: Students will receive no credit for MATH 16B after completing MATH N16B , 1B , or N1B. A deficient grade in Math 16B may be removed by taking Math N16B.

MATH N16A Analytic Geometry and Calculus 3 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session This sequence is intended for majors in the life and social sciences. Calculus of one variable; derivatives, definite integrals and applications, maxima and minima, and applications of the exponential and logarithmic functions. Analytic Geometry and Calculus: Read More [+]

Prerequisites: Three years of high school math, including trigonometry

Credit Restrictions: Students will receive no credit for 16A after taking N16A, 1A or N1A. A deficient grade in N16A may be removed by completing 16A.

Summer: 8 weeks - 8 hours of lecture per week

Additional Format: Eight hours of lecture per week for 8 weeks.

MATH N16B Analytic Geometry and Calculus 3 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session Continuation of 16A. Application of integration of economics and life sciences. Differential equations. Functions of many variables. Partial derivatives, constrained and unconstrained optimization. Analytic Geometry and Calculus: Read More [+]

Prerequisites: Mathematics 16A or N16A

Credit Restrictions: Students will receive no credit for Math N16B after Math 16B, 1B or N1B. A deficient grade in N16B may be removed by completing 16B.

MATH 24 Freshman Seminars 1 Unit

Terms offered: Fall 2024, Spring 2024, Fall 2023 The Berkeley Seminar Program has been designed to provide new students with the opportunity to explore an intellectual topic with a faculty member in a small-seminar setting. Berkeley Seminars are offered in all campus departments, and topics vary from department to department and semester to semester. Freshman Seminars: Read More [+]

Repeat rules: Course may be repeated for credit when topic changes.

Fall and/or spring: 15 weeks - 1 hour of seminar per week

Additional Format: One hour of Seminar per week for 15 weeks.

Grading/Final exam status: The grading option will be decided by the instructor when the class is offered. Final Exam To be decided by the instructor when the class is offered.

Freshman Seminars: Read Less [-]

MATH 32 Precalculus 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Polynomial and rational functions, exponential and logarithmic functions, trigonometry and trigonometric functions. Complex numbers, fundamental theorem of algebra, mathematical induction, binomial theorem, series, and sequences. Precalculus: Read More [+]

Prerequisites: Three years of high school mathematics

Credit Restrictions: Students will receive no credit for Math 32 after taking N32, 1A or N1A, 1B or N1B, 16A or N16A, 16B or N16B. A deficient grade in Math 32 may be removed by taking Math N32.

Summer: 6 weeks - 5 hours of lecture and 5 hours of discussion per week

Additional Format: Three hours of lecture and two hours of discussion per week. Five hours of lecture and five hours of discussion per week for 6 weeks.

Precalculus: Read Less [-]

MATH N32 Precalculus 4 Units

Terms offered: Summer 2022 8 Week Session, Summer 2021 8 Week Session, Summer 2020 8 Week Session Polynomial and rational functions, exponential and logarithmic functions, trigonometry and trigonometric functions. Complex numbers, fundamental theorem of algebra, mathematical induction, binomial theorem, series, and sequences. Precalculus: Read More [+]

Credit Restrictions: Students will receive no credit for MATH N32 after completing MATH 32 , 1A -1B (or N1A-N1B) or 16A-16B (or N16A-16B), or XMATH 32 . A deficient grade in MATH 32 or XMATH 32 maybe removed by taking MATH N32 .

MATH 39A Freshman/Sophomore Seminar 2 - 4 Units

Terms offered: Spring 2019, Spring 2018, Spring 2010 Freshman and sophomore seminars offer lower division students the opportunity to explore an intellectual topic with a faculty member and a group of peers in a small-seminar setting. These seminars are offered in all campus departments; topics vary from department to department and from semester to semester. Freshman/Sophomore Seminar: Read More [+]

Prerequisites: Priority given to freshmen and sophomores

Repeat rules: Course may be repeated for credit without restriction.

Fall and/or spring: 15 weeks - 2-4 hours of seminar per week

Additional Format: Seminar format.

Grading/Final exam status: Letter grade. Final Exam To be decided by the instructor when the class is offered.

Freshman/Sophomore Seminar: Read Less [-]

MATH 49 Supplementary Work in Lower Division Mathematics 1 - 3 Units

Terms offered: Spring 2017, Spring 2016, Fall 2015 Students with partial credit in lower division mathematics courses may, with consent of instructor, complete the credit under this heading. Supplementary Work in Lower Division Mathematics: Read More [+]

Prerequisites: Some units in a lower division Mathematics class

Fall and/or spring: 15 weeks - 0 hours of independent study per week

Summer: 6 weeks - 1-5 hours of independent study per week 8 weeks - 1-4 hours of independent study per week

Additional Format: Meetings to be arranged.

Grading/Final exam status: Letter grade. Final exam not required.

Supplementary Work in Lower Division Mathematics: Read Less [-]

MATH 53 Multivariable Calculus 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes. Multivariable Calculus: Read More [+]

Prerequisites: Mathematics 1B or N1B

Credit Restrictions: Students will receive no credit for Mathematics 53 after completing Mathematics N53 or W53; A deficient grade in 53 may be removed by completing Mathematics N53 or W53.

Multivariable Calculus: Read Less [-]

MATH H53 Honors Multivariable Calculus 4 Units

Terms offered: Spring 2023, Spring 2022, Spring 2021 Honors version of 53. Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes. Honors Multivariable Calculus: Read More [+]

Prerequisites: 1B

Credit Restrictions: Students will receive no credit for Mathematics H53 after completing Math 53, Math N53, or Math W53.

Honors Multivariable Calculus: Read Less [-]

MATH N53 Multivariable Calculus 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session Parametric equations and polar coordinates. Vectors in 2- and 3-dimensional Euclidean spaces. Partial derivatives. Multiple integrals. Vector calculus. Theorems of Green, Gauss, and Stokes. Multivariable Calculus: Read More [+]

Credit Restrictions: Students will receive no credit for Mathematics N53 after completing Mathematics 53, H53, or W53; A deficient grade in N53 may be removed by completing Mathematics 53, H53, or W53.

MATH W53 Multivariable Calculus 4 Units

Prerequisites: Mathematics 1B or equivalent

Credit Restrictions: Students will receive no credit for Mathematics W53 after completing Mathematics 53 or N53. A deficient grade in Mathematics W53 may be removed by completing Mathematics 53 or N53.

Summer: 8 weeks - 5 hours of web-based lecture and 5 hours of web-based discussion per week

Additional Format: Five hours of web-based lecture and five hours of web-based discussion per week for 8 weeks.

Online: This is an online course.

Instructor: Hutchings

MATH 54 Linear Algebra and Differential Equations 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; orthogonality, symmetric matrices. Linear second-order differential equations; first-order systems with constant coefficients. Fourier series. Linear Algebra and Differential Equations: Read More [+]

Prerequisites: 1B, N1B, 10B, or N10B

Credit Restrictions: Students will receive no credit for MATH 54 after completing MATH H54 , MATH N54 , MATH W54 , or MATH 56 . A deficient grade in MATH 54 may be removed by taking MATH N54 , MATH W54 , or MATH 56 .

Linear Algebra and Differential Equations: Read Less [-]

MATH H54 Honors Linear Algebra and Differential Equations 4 Units

Terms offered: Fall 2022, Fall 2021, Fall 2020 Honors version of 54. Basic linear algebra: matrix arithmetic and determinants. Vectors spaces; inner product spaces. Eigenvalues and eigenvectors; linear transformations. Homogeneous ordinary differential equations; first-order differential equations with constant coefficients. Fourier series and partial differential equations. Honors Linear Algebra and Differential Equations: Read More [+]

Credit Restrictions: Students will receive no credit for Math H54 after completion of Math 54 or N54.

Honors Linear Algebra and Differential Equations: Read Less [-]

MATH N54 Linear Algebra and Differential Equations 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session Basic linear algebra; matrix arithmetic and determinants. Vector spaces; inner product spaces. Eigenvalues and eigenvectors; orthogonality, symmetric matrices. Linear second-order differential equations; first-order systems with constant coefficients. Fourier series. Linear Algebra and Differential Equations: Read More [+]

Credit Restrictions: Students will receive no credit for Math N54 after completing Math 54 or Math H54; A deficient grade in N54 may be removed by completing Mathematics 54 or H54.

MATH W54 Linear Algebra and Differential Equations 4 Units

Prerequisites: Math 1B, N1B, 10B, or N10B

Credit Restrictions: Students will receive no credit for MATH W54 after completing MATH 54 , or MATH N54 . A deficient grade in MATH W54 may be removed by taking MATH 54 , MATH N54 , MATH 54 , or MATH N54 .

Summer: 8 weeks - 5.5 hours of web-based lecture and 6 hours of web-based discussion per week

Additional Format: Six hours of web-based discussion and five and one-half hours of web-based lecture per week for 8 weeks.

Instructor: Nadler

MATH 55 Discrete Mathematics 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Logic, mathematical induction sets, relations, and functions. Introduction to graphs, elementary number theory, combinatorics, algebraic structures, and discrete probability theory. Discrete Mathematics: Read More [+]

Prerequisites: Mathematical maturity appropriate to a sophomore math class. 1A-1B recommended

Credit Restrictions: Students will receive no credit for Math 55 after completion of Math N55 or Computer Science 70. A deficient grade in Math 55 may be removed by completing Math N55.

Additional Format: Three hours of lecture and two hours of discussion per week.

Discrete Mathematics: Read Less [-]

MATH N55 Discrete Mathematics 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session Logic, mathematical induction sets, relations, and functions. Introduction to graphs, elementary number theory, combinatorics, algebraic structures, and discrete probability theory. Discrete Mathematics: Read More [+]

Credit Restrictions: Students will receive no credit for 55 after taking N55 or Computer Science 70. A deficient grade in Math N55 may be removed by completing Math 55.

MATH 56 Linear Algebra 4 Units

Terms offered: Fall 2024, Fall 2023 This is a first course in Linear Algebra. Core topics include: algebra and geometry of vectors and matrices; systems of linear equations and Gaussian elimination; eigenvalues and eigenvectors; Gram-Schmidt and least squares; symmetric matrices and quadratic forms; singular value decomposition and other factorizations. Time permitting, additional topics may include: Markov chains and Perron-Frobenius, dimensionality reduction, or linear programming. This course differs from Math 54 in that it does not cover Differential Equations, but focuses on Linear Algebra motivated by first applications in Data Science and Statistics. Linear Algebra: Read More [+]

Prerequisites: Prerequisites are 1B, N1B, 10B, or N10B. [N is the summer version]

Credit Restrictions: Students will receive no credit for MATH 56 after completing MATH 54 , MATH N54 , or MATH W54 . A deficient grade in MATH 56 may be removed by taking MATH 54 , MATH N54 , or MATH W54 .

Grading/Final exam status: Letter grade. Final exam required, with common exam group.

Linear Algebra: Read Less [-]

MATH 74 Transition to Upper Division Mathematics 3 Units

Terms offered: Spring 2024, Fall 2022, Fall 2021 The course will focus on reading and understanding mathematical proofs. It will emphasize precise thinking and the presentation of mathematical results, both orally and in written form. The course is intended for students who are considering majoring in mathematics but wish additional training. Transition to Upper Division Mathematics: Read More [+]

Prerequisites: 53 and 54

Summer: 8 weeks - 6 hours of lecture and 0-2 hours of discussion per week

Additional Format: Six hours of lecture and at the discretion of the instructor and additional two hours of discussion per week for eight weeks.

Transition to Upper Division Mathematics: Read Less [-]

MATH 91 Special Topics in Mathematics 4 Units

Terms offered: Fall 2022, Spring 2016, Fall 2012 Topics to be covered and the method of instruction to be used will be announced at the beginning of each semester that such courses are offered. See department bulletins. Special Topics in Mathematics: Read More [+]

Fall and/or spring: 15 weeks - 3-3 hours of lecture and 0-3 hours of discussion per week

Additional Format: Three hours of lecture and zero to three hours of discussion per week.

Special Topics in Mathematics: Read Less [-]

MATH 96 College Algebra 2 Units

Terms offered: Summer 2019 Second 6 Week Session, Summer 2017 8 Week Session, Summer 2015 10 Week Session Elements of college algebra. Designed for students who do not meet the prerequisites for 32. Offered through the Student Learning Center. College Algebra: Read More [+]

Fall and/or spring: 15 weeks - 4 hours of workshop per week

Summer: 6 weeks - 10 hours of workshop per week 8 weeks - 10 hours of workshop per week

Additional Format: Four hours of Workshop per week for 15 weeks. Ten hours of Workshop per week for 8 weeks. Ten hours of Workshop per week for 6 weeks.

College Algebra: Read Less [-]

MATH 98 Supervised Group Study 1 - 4 Units

Terms offered: Fall 2023, Fall 2022, Fall 2021 Directed Group Study, topics vary with instructor. Supervised Group Study: Read More [+]

Repeat rules: Course may be repeated for credit up to a total of 4 units.

Fall and/or spring: 15 weeks - 1-4 hours of directed group study per week

Summer: 3 weeks - 5-20 hours of directed group study per week 6 weeks - 1-10 hours of directed group study per week 8 weeks - 1.5-7.5 hours of directed group study per week

Additional Format: One to four hours of directed group study per week. One and one-half to seven and one-half hours of directed group study per week for 8 weeks. One to ten hours of directed group study per week for 6 weeks. Five to twenty hours of directed group study per week for three weeks.

Grading/Final exam status: Offered for pass/not pass grade only. Final exam not required.

Supervised Group Study: Read Less [-]

MATH 98BC Berkeley Connect 1 Unit

Terms offered: Fall 2024, Spring 2024, Fall 2023 Berkeley Connect is a mentoring program, offered through various academic departments, that helps students build intellectual community. Over the course of a semester, enrolled students participate in regular small-group discussions facilitated by a graduate student mentor (following a faculty-directed curriculum), meet with their graduate student mentor for one-on-one academic advising, attend lectures and panel discussions featuring department faculty and alumni, and go on field trips to campus resources. Students are not required to be declared majors in order to participate. Berkeley Connect: Read More [+]

Fall and/or spring: 15 weeks - 1 hour of discussion per week

Additional Format: One hour of discussion per week.

Berkeley Connect: Read Less [-]

MATH 99 Supervised Independent Study 1 - 4 Units

Terms offered: Spring 2017, Spring 2016, Fall 2015 Supervised independent study by academically superior, lower division students. 3.3 GPA required and prior consent of instructor who is to supervise the study. A written proposal must be submitted to the department chair for pre-approval. Supervised Independent Study: Read More [+]

Prerequisites: Restricted to freshmen and sophomores only. Consent of instructor

Credit Restrictions: Enrollment is restricted; see the Introduction to Courses and Curricula section of this catalog.

Fall and/or spring: 15 weeks - 1-4 hours of independent study per week

Summer: 8 weeks - 1-4 hours of independent study per week

Additional Format: Independent study, weekly meeting with faculty. Independent study, weekly meeting with faculty.

Supervised Independent Study: Read Less [-]

MATH C103 Introduction to Mathematical Economics 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Selected topics illustrating the application of mathematics to economic theory. This course is intended for upper-division students in Mathematics, Statistics, the Physical Sciences, and Engineering, and for economics majors with adequate mathematical preparation. No economic background is required. Introduction to Mathematical Economics: Read More [+]

Prerequisites: Math 53 and 54

Fall and/or spring: 15 weeks - 3 hours of lecture per week

Additional Format: Three hours of Lecture per week for 15 weeks.

Formerly known as: 103

Also listed as: ECON C103

Introduction to Mathematical Economics: Read Less [-]

MATH 104 Introduction to Analysis 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Spring 2024 The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral. Introduction to Analysis: Read More [+]

Prerequisites: 53 and 54. 55 or an equivalent exposure to proofs

Additional Format: Three hours of lecture per week. Eight hours of lecture per week for 8 weeks.

Introduction to Analysis: Read Less [-]

MATH H104 Honors Introduction to Analysis 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Honors section corresponding to 104. Recommended for students who enjoy mathematics and are good at it. Greater emphasis on theory and challenging problems. Honors Introduction to Analysis: Read More [+]

Honors Introduction to Analysis: Read Less [-]

MATH 105 Second Course in Analysis 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Differential calculus in Rn: the derivative as a linear map; the chain rule; inverse and implicit function theorems. Lebesgue integration on the line; comparison of Lebesgue and Riemann integrals. Convergence theorems. Fourier series, L2 theory. Fubini's theorem, change of variable. Second Course in Analysis: Read More [+]

Prerequisites: 104

Second Course in Analysis: Read Less [-]

MATH 106 Mathematical Probability Theory 4 Units

Terms offered: Spring 2023 A rigorous development of the basics of modern probability theory based on a self-contained treatment of measure theory. The topics covered include: probability spaces; random variables; expectation; convergence of random variables and expectations; laws of large numbers; zero-one laws; convergence in distribution and the central limit theorem; Markov chains; random walks; the Poisson process; and discrete-parameter martingales. Mathematical Probability Theory: Read More [+]

Prerequisites: Mathematics 104

Additional Format: Three hours of lecture per week.

Mathematical Probability Theory: Read Less [-]

MATH 110 Abstract Linear Algebra 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Spring 2024 Matrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals. Abstract Linear Algebra: Read More [+]

Prerequisites: 54, or 56, or a course with equivalent linear algebra content. 55, or 74, or an equivalent exposure to proofs is recommended

Fall and/or spring: 15 weeks - 3 hours of lecture and 1 hour of discussion per week

Summer: 8 weeks - 8 hours of lecture and 0 hours of discussion per week

Additional Format: Three hours of lecture and one hour of discussion per week. Eight hours of lecture and zero hour of discussion per week for 8 weeks.

Abstract Linear Algebra: Read Less [-]

MATH H110 Honors Linear Algebra 4 Units

Terms offered: Fall 2022, Fall 2021, Fall 2020 Honors section corresponding to course 110 for exceptional students with strong mathematical inclination and motivation. Emphasis is on rigor, depth, and hard problems. Honors Linear Algebra: Read More [+]

Prerequisites: 54 or a course with equivalent linear algebra content. 55 or an equivalent exposure to proofs

Honors Linear Algebra: Read Less [-]

MATH 113 Introduction to Abstract Algebra 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Spring 2024 Sets and relations. The integers, congruences, and the Fundamental Theorem of Arithmetic. Groups and their factor groups. Commutative rings, ideals, and quotient fields. The theory of polynomials: Euclidean algorithm and unique factorizations. The Fundamental Theorem of Algebra. Fields and field extensions. Introduction to Abstract Algebra: Read More [+]

Introduction to Abstract Algebra: Read Less [-]

MATH H113 Honors Introduction to Abstract Algebra 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2022 Honors section corresponding to 113. Recommended for students who enjoy mathematics and are willing to work hard in order to understand the beauty of mathematics and its hidden patterns and structures. Greater emphasis on theory and challenging problems. Honors Introduction to Abstract Algebra: Read More [+]

Honors Introduction to Abstract Algebra: Read Less [-]

MATH 114 Second Course in Abstract Algebra 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Further topics on groups, rings, and fields not covered in Math 113. Possible topics include the Sylow Theorems and their applications to group theory; classical groups; abelian groups and modules over a principal ideal domain; algebraic field extensions; splitting fields and Galois theory; construction and classification of finite fields. Second Course in Abstract Algebra: Read More [+]

Prerequisites: 110 and 113, or consent of instructor

Second Course in Abstract Algebra: Read Less [-]

MATH 115 Introduction to Number Theory 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Fall 2023 Divisibility, congruences, numerical functions, theory of primes. Topics selected: Diophantine analysis, continued fractions, partitions, quadratic fields, asymptotic distributions, additive problems. Introduction to Number Theory: Read More [+]

Prerequisites: Math 55 is recommended

Introduction to Number Theory: Read Less [-]

MATH 116 Cryptography 4 Units

Terms offered: Fall 2022, Fall 2021, Fall 2020 Construction and analysis of simple cryptosystems, public key cryptography, RSA, signature schemes, key distribution, hash functions, elliptic curves, and applications. Cryptography: Read More [+]

Prerequisites: 55

Fall and/or spring: 15 weeks - 3 hours of lecture and 0-2 hours of discussion per week

Summer: 8 weeks - 6 hours of lecture and 0-4 hours of discussion per week

Additional Format: Three hours of lecture per week, and at the discretion of the instructor, an additional two hours of discussion per week. Six hours of lecture per week, and at the discretion of the instructor, an additional four hours of discussion per week.

Cryptography: Read Less [-]

MATH 118 Fourier Analysis, Wavelets, and Signal Processing 4 Units

Terms offered: Fall 2022, Spring 2022, Spring 2020 Introduction to signal processing including Fourier analysis and wavelets. Theory, algorithms, and applications to one-dimensional signals and multidimensional images. Fourier Analysis, Wavelets, and Signal Processing: Read More [+]

Fourier Analysis, Wavelets, and Signal Processing: Read Less [-]

MATH 121A Mathematical Tools for the Physical Sciences 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Intended for students in the physical sciences who are not planning to take more advanced mathematics courses. Rapid review of series and partial differentiation, complex variables and analytic functions, integral transforms, calculus of variations. Mathematical Tools for the Physical Sciences: Read More [+]

Mathematical Tools for the Physical Sciences: Read Less [-]

MATH 121B Mathematical Tools for the Physical Sciences 4 Units

Terms offered: Spring 2024, Spring 2022, Spring 2021 Intended for students in the physical sciences who are not planning to take more advanced mathematics courses. Special functions, series solutions of ordinary differential equations, partial differential equations arising in mathematical physics, probability theory. Mathematical Tools for the Physical Sciences: Read More [+]

MATH 123 Ordinary Differential Equations 4 Units

Terms offered: Fall 2023, Fall 2022, Fall 2021 Existence and uniqueness of solutions, linear systems, regular singular points. Other topics selected from analytic systems, autonomous systems, Sturm-Liouville Theory. Ordinary Differential Equations: Read More [+]

Ordinary Differential Equations: Read Less [-]

MATH 124 Programming for Mathematical Applications 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 An introduction to computer programming with a focus on the solution of mathematical and scientific problems. Basic programming concepts such as variables, statements, loops, branches, functions, data types, and object orientation. Mathematical/scientific tools such as arrays, floating point numbers, plotting, symbolic algebra, and various packages. Examples from a wide range of mathematical applications such as evaluation of complex algebraic expressions, number theory, combinatorics, statistical analysis, efficient algorithms, computational geometry, Fourier analysis, and optimization. Mainly based on the Julia programming language, but some examples will demonstrate other languages such as MATLAB, Python, C, and Mathematica. Programming for Mathematical Applications: Read More [+]

Prerequisites: Math 53, 54, 55

Additional Format: Three hours of lecture and one hour of discussion per week.

Programming for Mathematical Applications: Read Less [-]

MATH 125A Mathematical Logic 4 Units

Terms offered: Fall 2023, Fall 2022, Fall 2021 Sentential and quantificational logic. Formal grammar, semantical interpretation, formal deduction, and their interrelation. Applications to formalized mathematical theories. Selected topics from model theory or proof theory. Mathematical Logic: Read More [+]

Prerequisites: Math 104 and 113 or consent of instructor

Mathematical Logic: Read Less [-]

MATH 126 Introduction to Partial Differential Equations 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Spring 2024 Waves and diffusion, initial value problems for hyperbolic and parabolic equations, boundary value problems for elliptic equations, Green's functions, maximum principles, a priori bounds, Fourier transform. Introduction to Partial Differential Equations: Read More [+]

Summer: 8 weeks - 6 hours of lecture per week

Additional Format: Three hours of lecture per week. Six hours of lecture per week for 8 weeks.

Introduction to Partial Differential Equations: Read Less [-]

MATH 127 Mathematical and Computational Methods in Molecular Biology 4 Units

Terms offered: Fall 2017, Fall 2016, Spring 2016 Introduction to mathematical and computational problems arising in the context of molecular biology. Theory and applications of combinatorics, probability, statistics, geometry, and topology to problems ranging from sequence determination to structure analysis. Mathematical and Computational Methods in Molecular Biology: Read More [+]

Prerequisites: 53, 54, and 55; Statistics 20 recommended

Mathematical and Computational Methods in Molecular Biology: Read Less [-]

MATH 128A Numerical Analysis 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2023 Programming for numerical calculations, round-off error, approximation and interpolation, numerical quadrature, and solution of ordinary differential equations. Practice on the computer. Numerical Analysis: Read More [+]

Summer: 8 weeks - 4 hours of lecture and 4 hours of discussion per week

Additional Format: Three hours of lecture and one hour of discussion per week. Four hours of lecture and four hours of discussion per week for 8 weeks.

Numerical Analysis: Read Less [-]

MATH 128B Numerical Analysis 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Iterative solution of systems of nonlinear equations, evaluation of eigenvalues and eigenvectors of matrices, applications to simple partial differential equations. Practice on the computer. Numerical Analysis: Read More [+]

Prerequisites: 110 and 128A

Summer: 8 weeks - 6 hours of lecture and 1.5 hours of discussion per week

Additional Format: Three hours of lecture and one hour of discussion per week. At the discretion of the instructor, an additional hour of discussion/computer laboratory per week.

MATH W128A Numerical Analysis 4 Units

Terms offered: Summer 2024 8 Week Session, Summer 2023 8 Week Session, Summer 2022 8 Week Session Numerical Analysis: Read More [+]

Prerequisites: MATH 53 , MATH 54

Credit Restrictions: Students will receive no credit for MATH W128A after completing MATH 128A . A deficient grade in MATH W128A may be removed by taking MATH 128A , or MATH 128A .

Summer: 8 weeks - 4 hours of web-based lecture and 4 hours of web-based discussion per week

Additional Format: Four hours of web-based discussion and four hours of web-based lecture per week for 8 weeks.

Instructor: Persson

MATH 130 Groups and Geometries 4 Units

Terms offered: Spring 2024, Spring 2022, Fall 2020 Isometries of Euclidean space. The Platonic solids and their symmetries. Crystallographic groups. Projective geometry. Hyperbolic geometry. Groups and Geometries: Read More [+]

Prerequisites: 110 and 113

Groups and Geometries: Read Less [-]

MATH 135 Introduction to the Theory of Sets 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2022 Set-theoretical paradoxes and means of avoiding them. Sets, relations, functions, order and well-order. Proof by transfinite induction and definitions by transfinite recursion. Cardinal and ordinal numbers and their arithmetic. Construction of the real numbers. Axiom of choice and its consequences. Introduction to the Theory of Sets: Read More [+]

Introduction to the Theory of Sets: Read Less [-]

MATH 136 Incompleteness and Undecidability 4 Units

Terms offered: Fall 2024, Fall 2023, Spring 2022 Functions computable by algorithm, Turing machines, Church's thesis. Unsolvability of the halting problem, Rice's theorem. Recursively enumerable sets, creative sets, many-one reductions. Self-referential programs. Godel's incompleteness theorems, undecidability of validity, decidable and undecidable theories. Incompleteness and Undecidability: Read More [+]

Incompleteness and Undecidability: Read Less [-]

MATH 140 Metric Differential Geometry 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2022 Frenet formulas, isoperimetric inequality, local theory of surfaces in Euclidean space, first and second fundamental forms. Gaussian and mean curvature, isometries, geodesics, parallelism, the Gauss-Bonnet-Von Dyck Theorem. Metric Differential Geometry: Read More [+]

Metric Differential Geometry: Read Less [-]

MATH 141 Elementary Differential Topology 4 Units

Terms offered: Fall 2024, Spring 2024, Fall 2022 Manifolds in n-dimensional Euclidean space and smooth maps, Sard's Theorem, classification of compact one-manifolds, transversality and intersection modulo 2. Elementary Differential Topology: Read More [+]

Prerequisites: 104 or equivalent and linear algebra

Elementary Differential Topology: Read Less [-]

MATH 142 Elementary Algebraic Topology 4 Units

Terms offered: Fall 2023, Fall 2022, Fall 2021 The topology of one and two dimensional spaces: manifolds and triangulation, classification of surfaces, Euler characteristic, fundamental groups, plus further topics at the discretion of the instructor. Elementary Algebraic Topology: Read More [+]

Prerequisites: 104 and 113

Elementary Algebraic Topology: Read Less [-]

MATH 143 Elementary Algebraic Geometry 4 Units

Terms offered: Fall 2023, Spring 2023, Spring 2022 Introduction to basic commutative algebra, algebraic geometry, and computational techniques. Main focus on curves, surfaces and Grassmannian varieties. Elementary Algebraic Geometry: Read More [+]

Prerequisites: 113

Elementary Algebraic Geometry: Read Less [-]

MATH 151 Mathematics of the Secondary School Curriculum I 4 Units

Terms offered: Fall 2024, Fall 2023, Fall 2022 Theory of rational numbers based on the number line, the Euclidean algorithm and fractions in lowest terms. The concepts of congruence and similarity, equation of a line, functions, and quadratic functions. Mathematics of the Secondary School Curriculum I: Read More [+]

Prerequisites: 1A-1B, 53, or equivalent

Fall and/or spring: 15 weeks - 3 hours of lecture and 0-1 hours of discussion per week

Additional Format: Three hours of lecture and zero to one hour of discussion per week.

Mathematics of the Secondary School Curriculum I: Read Less [-]

MATH 152 Mathematics of the Secondary School Curriculum II 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 Complex numbers and Fundamental Theorem of Algebra, roots and factorizations of polynomials, Euclidean geometry and axiomatic systems, basic trigonometry. Mathematics of the Secondary School Curriculum II: Read More [+]

Prerequisites: 151; 54, 113, or equivalent

Mathematics of the Secondary School Curriculum II: Read Less [-]

MATH 156 Numerical Analysis for Data Science and Statistics 4 Units

Terms offered: Fall 2023 Introduction to applied linear algebra, numerical analysis and optimization with applications in data science and statistics. Topics covered include: • Floating-point arithmetic, condition number, perturbation theory, backward stability analysis • Matrix decompositions (LU/QR/Cholesky/SVD), least squares problems, orthogonal matrices • Eigenvalues, eigenvectors, Rayleigh quotients, generalized eigenvalues • Principal components, low rank approximation , compressed sensing, matrix completion • Convexity, Newton’s method, Levenberg-Marquardt method, quasi-Newton methods • Randomized linear algebra, stochastic gradient descent • Machine learning, neural networks (deep/convolution), adjoint methods, backpropagation Numerical Analysis for Data Science and Statistics: Read More [+]

Prerequisites: Math 53 and 54 or 56 or equivalent (e.g., Math 91 from Fall 2022 can replace Math 54)

Numerical Analysis for Data Science and Statistics: Read Less [-]

MATH 160 History of Mathematics 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2022 History of algebra, geometry, analytic geometry, and calculus from ancient times through the seventeenth century and selected topics from more recent mathematical history. History of Mathematics: Read More [+]

Prerequisites: 53, 54, and 113

History of Mathematics: Read Less [-]

MATH 170 Mathematical Methods for Optimization 4 Units

Terms offered: Fall 2024, Fall 2023, Spring 2023 Linear programming and a selection of topics from among the following: matrix games, integer programming, semidefinite programming, nonlinear programming, convex analysis and geometry, polyhedral geometry, the calculus of variations, and control theory. Mathematical Methods for Optimization: Read More [+]

Mathematical Methods for Optimization: Read Less [-]

MATH 172 Combinatorics 4 Units

Terms offered: Fall 2023, Fall 2022, Spring 2021 Basic combinatorial principles, graphs, partially ordered sets, generating functions, asymptotic methods, combinatorics of permutations and partitions, designs and codes. Additional topics at the discretion of the instructor. Combinatorics: Read More [+]

Combinatorics: Read Less [-]

MATH 185 Introduction to Complex Analysis 4 Units

Terms offered: Fall 2024, Summer 2024 8 Week Session, Spring 2024 Analytic functions of a complex variable. Cauchy's integral theorem, power series, Laurent series, singularities of analytic functions, the residue theorem with application to definite integrals. Some additional topics such as conformal mapping. Introduction to Complex Analysis: Read More [+]

Fall and/or spring: 15 weeks - 3-3 hours of lecture and 0-2 hours of discussion per week

Additional Format: Three hours of lecture and zero to two hours of discussion per week. Eight hours of lecture and zero hour of discussion per week for 8 weeks.

Introduction to Complex Analysis: Read Less [-]

MATH H185 Honors Introduction to Complex Analysis 4 Units

Terms offered: Spring 2024, Spring 2023, Spring 2021 Honors section corresponding to Math 185 for exceptional students with strong mathematical inclination and motivation. Emphasis is on rigor, depth, and hard problems. Honors Introduction to Complex Analysis: Read More [+]

Honors Introduction to Complex Analysis: Read Less [-]

MATH 189 Mathematical Methods in Classical and Quantum Mechanics 4 Units

Terms offered: Fall 2020, Fall 2015, Fall 2014 Topics in mechanics presented from a mathematical viewpoint: e.g., hamiltonian mechanics and symplectic geometry, differential equations for fluids, spectral theory in quantum mechanics, probability theory and statistical mechanics. See department bulletins for specific topics each semester course is offered. Mathematical Methods in Classical and Quantum Mechanics: Read More [+]

Prerequisites: 104, 110, 2 semesters lower division Physics

Mathematical Methods in Classical and Quantum Mechanics: Read Less [-]

MATH 191 Experimental Courses in Mathematics 1 - 4 Units

Terms offered: Fall 2024, Fall 2023, Spring 2023 The topics to be covered and the method of instruction to be used will be announced at the beginning of each semester that such courses are offered. See departmental bulletins. Experimental Courses in Mathematics: Read More [+]

Prerequisites: Consent of instructor

Fall and/or spring: 15 weeks - 1-4 hours of seminar per week

Summer: 6 weeks - 2.5-10 hours of seminar per week 8 weeks - 1.5-7.5 hours of seminar per week

Additional Format: Hours to be arranged. Hours to be arranged.

Experimental Courses in Mathematics: Read Less [-]

MATH 195 Special Topics in Mathematics 4 Units

Terms offered: Spring 2021, Spring 2011, Spring 2004 Lectures on special topics, which will be announced at the beginning of each semester that the course is offered. Special Topics in Mathematics: Read More [+]

Fall and/or spring: 15 weeks - 0 hours of lecture per week

Additional Format: Hours to be arranged.

MATH 196 Honors Thesis 4 Units

Terms offered: Fall 2023, Fall 2022, Spring 2017 Independent study of an advanced topic leading to an honors thesis. Honors Thesis: Read More [+]

Prerequisites: Admission to the Honors Program; an overall GPA of 3.3 and a GPA of 3.5 in the major

Honors Thesis: Read Less [-]

MATH 197 Field Study 1 - 4 Units

Terms offered: Spring 2016, Spring 2015, Spring 2014 For Math/Applied math majors. Supervised experience relevant to specific aspects of their mathematical emphasis of study in off-campus organizations. Regular individual meetings with faculty sponsor and written reports required. Units will be awarded on the basis of three hours/week/unit. Field Study: Read More [+]

Prerequisites: Upper division standing. Written proposal signed by faculty sponsor and approved by department chair

Credit Restrictions: Enrollment is restricted; see the Course Number Guide in the Bulletin.

Fall and/or spring: 15 weeks - 3-3 hours of fieldwork per week

Summer: 8 weeks - 3-3 hours of fieldwork per week

Additional Format: Five and one-half hours of work per week per unit. Three hours of work per week per unit.

Field Study: Read Less [-]

MATH 198 Directed Group Study 1 - 4 Units

Terms offered: Fall 2021, Fall 2019, Spring 2017 Topics will vary with instructor. Directed Group Study: Read More [+]

Prerequisites: Must have completed 60 units and be in good standing

Summer: 8 weeks - 1-4 hours of directed group study per week

Additional Format: Group study. Group study.

Directed Group Study: Read Less [-]

MATH 198BC Berkeley Connect 1 Unit

Math 199 supervised independent study and research 1 - 4 units.

Terms offered: Fall 2019, Fall 2018, Fall 2017 Supervised Independent Study and Research: Read More [+]

Prerequisites: The standard college regulations for all 199 courses

Supervised Independent Study and Research: Read Less [-]

Contact Information

Department of mathematics.

970 Evans Hall

Phone: 510-642-6550

Fax: 510-642-8204

Department Chair

Martin Olsson

953 Evans Hall

Phone: 510-642-4129

[email protected]

Vice-Chair for Undergraduate Affair

Richard Bamler

705 Evans Hall

[email protected]

Undergraduate Student Advisor

Thomas Brown

965 Evans Hall

Phone: 510-643-9292

[email protected]

Marsha Snow

964 Evans Hall

Phone: 510-643-4148

[email protected]

Undergraduate Programs Manager & Advisor

962 Evans Hall

[email protected]

Curriculum Analyst

Zhanara Gallegos

973 Evans Hall

[email protected]

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Graduate Study in Logic at Berkeley

The Ph.D. Program in Philosophy . Students who choose to specialize in logic within the context of this program are expected to obtain a broad education in philosophy.

The Group in Logic and the Methodology of Science administers a program leading to the degree of Ph.D. in Logic and the Methodology of Science. The Group is not a part of the Department of Mathematics or of the Department of Philosophy; rather, it is an independent program staffed by faculty members from Mathematics and Philosophy, along with several from Electrical Engineering and Computer Science. Students who want to pursue the Ph.D. in Logic and the Methodology of Science should apply directly to the Graduate Program in Logic and the Methodology of Science, rather than to Mathematics or Philosophy.

Students in the L&M program are expected to study both mathematics and philosophy, though they need not meet all the breadth requirements for a Ph.D. in either field. They must pass one examination in the foundations of mathematics, one examination in philosophy (Area I), and a third in either mathematics or philosophy. Although there are no graduate instructorships in Logic and Methodology of Science, students in this program may, if qualified, hold graduate student instructorships in the Department of Mathematics or in the Department of Philosophy.

The Department of Mathematics administers a program leading to a Ph.D. in Mathematics. Students in this program may specialize in the foundations of mathematics, but are also expected to study other aspects of mathematics. In particular, they must pass departmental qualifying examinations in two other areas as well as in the foundations of mathematics. The Department of Mathematics also has a program leading to an M.A. degree.

Logic Events

Logic colloquium.

The Group in Logic and the Methodology of Science sponsors a biweekly logic colloquium , with talks by mathematicians, computer scientists, and philosophers.

Working Group in the History and Philosophy of Logic, Mathematics, and Science

The Working Group in the History and Philosophy of Logic, Mathematics, and Science , jointly sponsored by the Philosophy Department and the Doreen B. Townsend Center for the Humanities , sponsors monthly talks, many of them on topics connected to logic.

Berkeley-Stanford Circle in Logic and Philosophy

The Berkeley-Stanford Circle in Logic and Philosophy brings together graduate students from UC Berkeley and Stanford University to discuss research at the intersection of Logic and Philosophy.

Postdocs, Instructors, and Morreys

Khalilah beal, catherine k. a. cannizzo, colleen delaney, zhiyan ding, emiliano gómez, nicolle gonzalez, peter haine, ryan a. hass, jiang hu (户将), mihaela ifrim, eyal kaplan, sergei korotkikh, patrick lutz, borislav mladenov, federico pasqualotto, rohil prasad, kendric schefers, arun sharma, norman sheu, forte shinko, kevin stubbs, kelli talaska, krutika tawri, alexandra utiralova, jikang wang, mengxuan yang, dongxiao yu.

Berkeley School of Education

Learning sciences and human development.

Faculty study, design and participate in transformative approaches to individual and social development, approaches within schools and classrooms, and across diverse sites and contexts in communities, workplaces and social movements. Students will examine how to promote equity and honor socio-cultural and linguistic diversity; transform schools, technology, and other educational spaces; support teachers as learners; and foster promising social futures for all youth.

To find a faculty member who is an expert in the area, click on the titles below.

Cognitive, human, and social development.

* Faculty available to advise new doctoral students.

Mathematics and Science Education

Dor Abrahamson * Andrea diSessa Marcia Linn * Kathleen Metz Zachary Pardos * Michael Ranney Geoffrey B. Saxe Alan Schoenfeld Tesha Sengupta-Irving* Michelle Hoda Wilkerson* Mark R. Wilson *

Teacher Learning and Education

Dor Abrahamson * Travis J. Bristol Anne E. Cunningham Sarah W. Freedman Kris D. Gutíerrez * Marcia Linn * Jabari Mahiri Rick Mintrop Thomas M. Philip* Elisa Salasin Alan Schoenfeld Tesha Sengupta-Irving* Katherine Suyeyasu Michelle Hoda Wilkerson* Frank C. Worrell * Chunyan Yang

Technology and Digital Media

Dor Abrahamson * Kris D. Gutíerrez * Glynda Hull * Marcia Linn * Jabari Mahiri Zachary A. Pardos * Thomas M. Philip* Michael Ranney Michelle Hoda Wilkerson*

Declaring the Major

Eligibility to declare.

• Admitted Prior to Fall 2024
• Admitted Fall 2024 and Later

Students admitted prior to Fall 2024 must earn

• Math 1A Calculus (or the Summer version Math N1A)
• Math 1B Calculus II (or the Summer version Math N1B)
• Math 53 Multivariable Calculus (or the Summer version Math N53, or web-based version Math W53)
• Math 54 Linear Algebra and Differential Equations (or the Summer version Math N54)
• Stat 20 or Data C8
• And a minimum C grade in Math 53, Math 54, and Stat 20 / Data C8.

If you have completed any of the math prerequisites at another institution, please look at Frequently Asked Questions below.

For students admitted to UC Berkeley Fall 2024 or later:

• Students admitted to CDSS in Fall 2024 or later will be automatically enrolled in their selected major and do not need to follow declaration procedures outlined on this page.
• Students admitted in Fall 2024 or later who did not select Statistics on their admission application may apply to the major via comprehensive review (see drop-down below). 

Prerequisites and Comprehensive Review

More details to come

When can I apply?

Updates coming soon

How do I apply?

Frequently asked questions.

Please refer to  FAQs: Undergraduate Students in Computer Science, Data Science, and Statistics . The  interview with CDSS Associate Dean of Students, Prof. Deborah Nolan , may also answer some of your questions.

Please see the Statistics Department grading policies for the SP20, FA20, SP21, and SUM21 semesters  linked here . 

The Statistics Department defers to the  Mathematics Department’s evaluation  of course equivalence to the pre-major requirements. Here are currently established standards:

If you received a score of 3 or higher on the AP Calculus AB Exam, or a score of 3 or 4 on the AP Calculus BC Exam, then Math 1A requirement is waived. If you received a 5 on the AP Calculus BC Exam, both the Math 1A and Math 1B requirements are waived. 

Transfer Credit, A-Levels, and IB

Students who took courses at a California community college can determine whether those courses are equivalent to UC Berkeley courses using the Assist.org tool. Courses taken at another 4-year institution or a community college outside of California need to be  evaluated by the Mathematics Department . Upload the completed evaluation(s) with you when you are ready to declare the major.

If you have A-Level Math exam credits or an International Baccalaureate (IB) Math Exam Credit, you can waive out of Math 1A and/or Math 1B. We abide by what the Math Department deems as equivalent, which is subject to change:

• A-Level Math (grade of ''B'' or better) = Math 1A Equivalency      
• A-Level Further Math (grade of ''B'' or better) = Math 1A & Math 1B Equivalency
• Singapore A-Level Exams H1 Math = Math 16A, H2 Math = Math 1A, and H2 Further Math = Math 1A and Math 1B Equivalency
• Refer to Math Department for IB Exam Credit

Students lacking partial material of any of the lower division prerequisites should see the Mathematics Department to discuss completing Mathematics 49. For example, students lacking the material on linear algebra in Mathematics 54 may learn this material by enrolling in Mathematics 49 and attending the portion of Math 54 on Linear Algebra. See information from the Mathematics Department on their Course Equivalency page .

If you have only completed Math 16A, you must still complete Math 1A or equivalent (at another college is fine as long as it is equivalent according to assist.org or the Math Department). If you took both Math 16A and Math 16B, you can waive out of Math 1A, but must take Math 1B or equivalent. Students can no longer take Math 49 to learn the Math 1B material lacking in Math 16B.

Students who have completed the Math 10A-10B series should see the Head Undergraduate Faculty Advisor . Send a copy of your transcript.

Per the Math Department website, XMath 1A and XMath 1B offered through the Fall Program for First Semester ARE equivalent to UC Berkeley's Math 1A and 1B (see https://math.berkeley.edu/undergraduate/major/frequently-asked-questions#faqs2 ) so they can be used to satisfy Statistics major prerequisites.

Generally, NO. The Statistics Department defers to the evaluation of the UC Extension courses by the UC Berkeley Math Department . In Spring 2012, the Math Department faculty reviewed the X11 and X12 (formerly known as  Math X1A and Math X1B) curriculum and deemed the online X11 and X12 courses not equivalent to Math 1A-B at UC Berkeley. Students who have not yet taken X11 or X12 should NOT take them to satisfy Statistics major requirements. Students who have already taken X11-X12 may request an evaluation from the Math Department to determine if Math 1A or 1B needs to be taken. Grades in other math courses like Math 53 and Math 54 are factored into whether or not a student would need to take 1A or 1B.

Please note: XMATH 1A and XMATH 1B (offered through the Fall Program for First Semester ) ARE equivalent to Math 1A and 1B and are accepted as prerequisites for the Statistics major. These courses are different from the online Math X11 and X12 offered through UC Extension.

Yes, Math N1A, N1B, N53 and N54 taught at UC Berkeley are summer versions of Math 1A, 1B, 53, and 54; and Math W53 and W54 are the web-versions of Math 53 and 54. The format of these courses are different than those offered in Fall and Spring but the content is the same so they can be used to satisfy Statistics major math prerequisites.

No, you must take all major prerequisites for a letter grade and earn at least a C in Math 53, Math 54, and Stat 20 / Data C8 before you can declare and meet the minimum 2.0 prerequisite GPA. To calculate the GPA, a letter grade is required. You will need to repeat the course or see the Head Undergraduate Faculty Advisor about alternatives. These kinds of exceptions are considered on an individual basis by the Head Undergraduate Faculty Advisor and are rare.

Due to the extenuating circumstances of Spring 2020, Fall 2020, Spring 2021, Summer 2021, or Fall 2022 please see Response to P/NP Default Grading Option For Spring 2020 ,   FA20 and SP21 Grading Policy for the Statistics Major , or FA22 Grading Policy for the Statistics Department which outline exceptions to the letter grade requirement. The FA20 and SP21 grading policy is applicable to Summer 2021 as well. 

No, you must earn at least a C in Math 53, Math 54, and Stat 20 / Data C8 before you can declare as well as have at least a 2.0 GPA in the major prerequisite courses. Please see an advisor about your options to declare the major.

You can submit an application, but you will not be declared until all prerequisites are completed. We do not offer conditional declarations.

No, you may declare the Statistics major as long has you have completed the prerequisite requirements and your grades are verifiable. However, the College of Letters & Science has policies relating to units caps and may not approve Statistics as a second major if successful completion of the major is not feasible within the allowed timeframe. Students wishing to double/triple major must declare at least one semester prior to graduation. There are no exceptions.

It is advisable to declare as early as possible so we can track your progress and ensure that your applied cluster courses are approved before you take them. Additionally, declared students receive priority when registering for upper division Statistics courses. Students may generally submit their application during the semester in which they are finishing their last prerequisite(s), but applications are only processed at designated times.

College of Natural & Agricultural Sciences

UCR Mathematics department announces 2023-2024 award winners

The UC Riverside Mathematics department has announced the 2023-2024 awards honoring visiting assistant professors, graduate and undergraduate students: 

Outstanding Visiting Assistant Professor Award for Visiting Assistant Professor/Postdoctoral Scholars:

The 2024-2024 Outstanding Visiting Assistant Professor Award winners are: 

Courtney George Courtney's dedication to teaching is evident from her glowing student evaluations, her impressive response rates (of at least 86%), her often-bustling office hours, and her work with faculty in coordinated courses. Students praised her clear explanations, how she listened to student concerns, her patience, her welcoming nature, and her detailed clear notes with "the most beautiful" penmanship. Courtney also shared her experiences and insights with graduate students as a panelist for the Choosing a PhD Advisor: Panel Discussion .

Hassan Attarchi Hassan has consistently received excellent evaluations and comments from his students, who praise his enthusiasm for teaching, understanding nature, and positive attitude, as well as his ability to give "clear and concise explanations of tough materials". Last fall he helped organize our Teaching Workshop and led a session.

Fazel Hadadifarad Fazel has taught a variety of courses at UCR, from Calculus to senior-level courses, and has consistently received high evaluations. Students often emphasize the clarity of his lectures, genuine enthusiasm, willingness to help, and his accommodating nature as an instructor. Fazel has just published a paper on the incompressible Euler equation, with several more submitted.

Matthew Harper Matthew has been a leading force in pivotal research contributions within Weyl Algebras at UCR. His dedication to teaching is evident in his evaluations, with students describing him as organized and enthusiastic. Students appreciate his helpfulness, clear explanations, and ability to make complex concepts understandable.  

M.M. Rao Graduate Fellowship Award: Dr. Malempati M. Rao joined the faculty at the University of California, Riverside in 1972. He remained at UC Riverside until his retirement in 2011. He has held visiting positions at the Institute for Advanced Study (Princeton), the Indian Statistical Institute, University of Vienna, University of Strasbourg, and the Mathematical Sciences Research Institute (Berkeley). Dr. Rao’s research interests were initially in probability and mathematical statistics, but his intense mathematical interest and natural curiosity found him pursuing a wide range of mathematical analysis including stochastic processes, functional analysis, ergodic theory and related asymptotics, differential equations and difference equations. Dr. Rao and his family established this fund to provide support for graduate students in the Department of Mathematics.

The 2023-2024 M.M. Rao Graduate Fellowship award winner is: 

Rahul Rajukumar Rahul is pursuing probability theory as his research area, under the direction of Prof. David Weisbart. Rahul already has results on the component processes of diffusion processes in a finite dimensional vector space over the p-adic numbers and on scaling limits. Rahul is quite independently studying what the path measures of Brownian motion can reveal about the underlying state space. In addition to his research, Rahul is active in student mentorship, and is introducing our undergraduate students to valuable research opportunities.  

Vernon Kramer Memorial Service Graduate Student Award: Dr. Vernon A. Kramer (1924-1985) taught for and helped develop the Mathematics Department at UCR. He studied under such reputed mathematicians as A.A. Albert at the University of Chicago and Frantisek Wolf at UC Berkeley. Hired in 1954 as part of the UCR Physical Sciences faculty, Dr. Kramer proved to be invaluable. Among many other services, he authored curricula, catalog copy, and grant proposals; he conducted extensive searches for new faculty and worked with the administration in the development of the structure of the new department. His colleagues created this memorial to honor Dr. Kramer's memory. It takes a great deal of effort for our department to accomplish all that it does. We are thankful that we have such a large contingent of graduate students who are more than willing and able to not only contribute to the department, but to also go the extra mile. When graduate students consistently steps up to help other grads and instructors, help with events, attend recruitment fairs, and more, we put forth the effort to recognize and thank them with the Vernon A. Kramer Memorial Service Award.

The 2023-2024 Vernon Kramer Memorial Service Award winners are: 

Jialin Wang Jialin graciously volunteered her time to assist the department in recruiting graduate students from minority groups and underrepresented communities. She participated in diverse local, state, and national graduate recruitment fairs. She created a safe space for prospective and admitted students to ask questions about our department and university.  

Kevin (Chaoyang) Gao Kevin has been phenomenal in every aspect of graduate recruitment. Most importantly, hosting prospective students visiting campus. His gracious, kind, and helpful personality assisted the department greatly in recruiting students for our graduate program.

Tyler Pierce Tyler, with his outgoing personality, shared his educational journey to encourage and empower prospective students to consider our graduate program and most importantly envision themselves in a doctoral program.

Zachary Virgilio Zachary willingly volunteered his time to assist the department in recruiting graduate students from minority groups and underrepresented communities. Despite only 2 students being approved to recruit at The Field of Dreams Conference, he joined the department in its recruitment efforts without hesitation! Zach can always be counted on.    

Outstanding TA Award: Every Academic year the Teaching Assistant Development Program recognizes the outstanding teaching assistants selected by each of the UC Riverside departments. Though it is difficult to choose a select few out our TAs' consistently strong efforts, every year a number of TAs manage to find a way to stand out from the group.

The 2023-2024 Outstanding Teaching Assistants award winners are: 

Bill Terry Emerald Win Jialin Wang Kevin Gao Khoi Vo Michael Gulas Ryan Aschoff Shane Rankin Tyler Pierce Zach Virgilio

The 2023-2024 Outstanding Teaching Assistants award recipients have all demonstrated to be effective and impactful teachers who bring creative approaches to the classroom! Many congratulations to you all!  

Ketcherside Undergraduate Student Award: Mrs. Rosalie Ketchersid always had great interest in Riverside and San Bernardino counties, and made significant contributions to both through the Community Foundation. In addition, in August 1998, she established the Ernest E.& Rosalie C. Ketchersid Endowed Scholarship in her husband's memory. This scholarship supports UCR undergraduate students from Riverside and San Bernardino counties. Mrs. Ketchersid passed away in April 2005.

The 2023-2024 Ketchersid Award winners are: 

Aliyah Bello Cristian Herrera Jacob Gower Jonathan Martinez Kimberly Arreguin Maritssa Nolasco Moises Ruano Rayan Awais William Murray Xavier Madrid

Congratulations to the 2023-2024 Ketchersid Award winners!  

Bryce-Mason Undergraduate Student Award: With deep appreciation for his outstanding educational experience at UCR, Dr. Bryce Mason has created an endowed award to support undergraduate students who have exhibited passion for and excellence in mathematics. Bryce found that the rigor required for the study of mathematics greatly improved his reasoning and critical thinking, which have been beneficial throughout his life and career. He also fondly recalls a warm, collegial learning environment made by faculty and fellow students. Bryce hopes that the recipients of this award will similarly enjoy and benefit from their mathematical journey.

The 2023-2024 Bryce-Mason award winner is:

Darius Mahamedi This award recognizes Darius for excellence in mathematics and contributing to our positive learning environment. Congratulations, Darius!  

Bosh Undergraduate Student Prize: Barbara Bosch wishes to establish a current restricted fund with the UC Riverside Foundation, a California non-profit corporation, with the conditions and purposes contained in this document. The name of the fund shall be the Deborah K. Bosch Memorial Mathematics Award Fund ("Fund"), in memory of her twin sister. The donor intends to make regular contributions to the Fund until such time that it is endowed. Dr. Deborah K. Bosch graduated in 1979 from UCR with a B.S. in Mathematics. She attended Stanford University, where she received a Master of Science degree in Mathematics and a Ph.D. in Engineering-Economic Systems. For more than two decades, Deborah was a management consultant nationally and internationally. She volunteered her time and skills in support of educational programs and also to community development organizations in Africa. Deborah was a wonderfully kind person who placed great value on education. Deborah passed away on June 23, 2009 after a courageous battle with cancer.

The 2023-2024 Bosh Prize winner is: 

Jana Fahs Jana Fahs won the 2023-24 Bosch Prize for her outstanding course performance and undergraduate research. She has presented her work in both the UCR undergraduate research symposium and the Mathematical Pathways to an Excellent Future conference.  

CNAS Academic Excellence Award: These awards recognize College of Natural & Agricultural Sciences students who are selected by their faculty for achieving excellence in their academics and research or creative activity. The 2023-2024 CNAS Academic Excellence in Mathematics Award winners are: Sudhir Murthy Riley Hunke

Congratulations to all of the 2023-2024 UC Riverside Mathematics department award winners!

UCR Mathematics Department

Prospective Students

• Berkeley Engineering
• UC Berkeley

Applications for the Spring 2025 session are open!

• June 11, 2024: Priority Application Deadline
• July 22, 2024: Final Application Deadline

MAS-E Program Eligibility

The Master of Advanced Study in Engineering (MAS-E) program is designed for both recent science or engineering graduates and individuals with several years of professional experience who are interested in gaining knowledge or skills for career growth. Most successful students have the following:

BA or BS in a math, science, engineering, or computer science discipline

• You must hold or expect to hold, prior to the beginning of classes, a bachelor’s degree from an accredited U.S. school. International applicants of recognized academic institutions outside the United States must hold a degree equivalent to a U.S. bachelor’s degree.
• The MAS-E degree is intended for those with a STEM degree, including but not limited to: Biology, Chemistry, Biochemistry, Physics, Engineering, Math, and Computer Science.

Submit a Stand-Out MAS-E Application

Learn more about the MAS-E and how to put your best foot forward from the UC Berkeley College of Engineering team.

Pre-enrollment

The following requirements are important to succeed in MAS-E courses and should be met before enrollment. Students may fulfill these requirements after admission.

• Some MAS-E courses require linear algebra and multivariable calculus as a prerequisite.
• It is recommended to have coursework in these subjects, but motivated students without this coursework are allowed to self-study the relevant material.
• To succeed in MAS-E courses, you must have some prior experience programming in a high-level language such as Python, Java, or C/C++. Students should be familiar with variable assignments and control structure (for loops, if statements, logic) in one of these languages.
• You can satisfy this requirement through prior coursework or through experience, or after admission.

Spring 2025

*All submission deadlines are 11:59 p.m. ET (8:59 p.m. PT)

Application materials

Curriculum vitae/resume.

We are interested in a 1-page summary of your academic and professional background. On the application, please upload your most current resume or curriculum vitae. If applicable, please also include honors, awards, publications, presentations, languages spoken, and associations you belong to.

Academic transcripts

You will be required to submit electronic copies of transcripts from every post-secondary school ever attended. Unofficial transcripts suffice for the initial application; official transcripts will be requested upon successful admission. Please do not mail any documents to the program office.

GPA Minimum

To be eligible for the MAS-E degree, as with all UC Berkeley graduate degrees, you must have a minimum grade-point average (GPA) of 3.0 (B) on a 4.0 scale.

Applicants whose GPAs are based on a 4.0 scale will need to enter their cumulative GPA, as well as calculate their Advanced GPA and Major GPA for the application. The application will specify which courses to calculate for each GPA field. The university does not provide a GPA calculator. Applicants should use their university’s grading scale to calculate their GPAs to the best of their abilities.

Applicants whose GPAs are not based on a 4.0 scale should not calculate or convert their GPAs. Instead, these applicants should leave the aforementioned GPA fields blank and enter their cumulative GPA as it appears on their transcript in the “Other Scale GPA” section.

U.S. Degree Equivalency

If you graduated from a recognized academic institution outside the United States, you must hold a degree equivalent to a U.S. bachelor’s degree. Equivalency is determined by international evaluators in the UC Berkeley Graduate Admissions Office [ http://grad.berkeley.edu/admissions/requirements/  ]

If you are recommended for admission and choose to enroll in the program, UC Berkeley Graduate Division will require that you submit official academic documents (transcripts, degree conferral certificates, translations, as applicable) by the end of your first term.

Statement of purpose

This essay question was created to provoke honest, thoughtful responses to help us get to know you. The admissions committee is interested in learning how your professional and academic experiences and achievements equip you and motivate you to enroll in our program. At a minimum, the statement of purpose should indicate, with clarity and focus, your purpose for entering the Master of Advanced Study in Engineering program and why this advances your professional and personal goals. We are especially interested in understanding both your experience in and your capacity to take full advantage of an intensive, fast-paced degree program.

Be specific about why UC Berkeley and the MAS-E program would be a good intellectual fit for you. The Statement of Purpose should be shorter than two pages.

For more insights, refer to the  Graduate Division website .

Personal history statement

Anything that can give reviewers a sense of you as a person belongs here. Any experiences that show your promise, initiative, and ability to persevere despite obstacles could be considered. If you have faced any obstacles or barriers in your education, sharing those experiences provides a deeper understanding of who you are as an applicant. If one part of your academic record is not ideal, due to challenges you faced, this is where you can explain that, and direct reviewers’ attention to the evidence of your potential for higher education.

Discuss the impact of your personal background and experiences on your decision to pursue a graduate degree. Touch on the following points without duplicating your Statement of Purpose:

• Overcoming obstacles to access higher education.
• Gaining insights into barriers faced by others.
• Experience or leadership pertaining to underserved populations, equitable access or inequality.

Compose a concise (under two pages) Personal History Statement. This essay also factors into the selection process for MAS-E program scholarships. More tips can be found on the  Graduate Division website .

Letters of recommendation

Letters of recommendation provide the admissions committee with third party, qualitative accounts of your potential for success in our program. We require two letters of recommendation from all applicants.

We strongly prefer that letters of recommendation come from a current direct supervisor, former direct supervisor, faculty, or other individuals with whom you have had significant professional interaction. Please select individuals who know you well and who will take the time to write thorough and thoughtful letters on your behalf. The title of those you select is not important. What does matter is how closely your letter writers have worked with you and whether they can attest to your value as an employee or student, your professional accomplishments, and your personal qualities. We have found the most helpful letters to be recent, relevant, and written specifically for this application. We discourage letters of recommendation from subordinates, family, or friends.

When completing the online application, you will enter the email address of your recommender and click the appropriate box to have the recommender upload their letter.

The application system requires 3 recommenders despite our program requiring 2, please put your own email address as the third and ignore the instructions to submit.

You are responsible for ensuring that letters of recommendations are submitted by the application deadline.

English language proficiency

All applicants who have completed a basic degree in a country/region in which the official language is not English are required to submit official evidence of English language proficiency. This requirement applies to institutions from Bangladesh, Nepal, India, Pakistan, Latin America, the Middle East, Israel, the People’s Republic of China, Taiwan, Japan, Korea, Southeast Asian countries, most European countries, and countries in Africa in which English is not the official language.

If you have completed at least one year of full-time academic course work with grades of B or better in residence at a recognized U.S. institution, you do not need to take a standardized test. Instead, you must upload an unofficial transcript from the recognized U.S. institution. The following courses will  not  fulfill this requirement: 1) courses in English as a Second Language, 2) courses conducted in a language other than English, 3) courses that will be completed after the application is submitted, and 4) courses of a non-academic nature.

TOEFL or IELTS Scores Minimum TOEFL score of at least 90 for the Internet-based test (IBT) or 570 for the paper-based format (PBT) or at least a 7 on a 9-point scale for the IELTS, as appropriate for students who have English as a second language.

Students who have English as a second language are required to provide a TOEFL or IELTS score. There are some exceptions. Some applicants who have significant coursework from the U.S. or who have worked in the U.S. for several years may qualify for an exemption.

Application fee

You must submit an application fee when you apply. The application fee is not refundable. If you are a U.S. citizen or current permanent resident, the application fee is $135; for all others, the fee is $155.

Graduate Division Fee Waiver The Berkeley Graduate Division offers application fee waivers for both students who demonstrate financial need and students who have participated in certain programs. The form to request a fee waiver from the Graduate Division is included in the payment section of the online application. More information is on the  Graduate Division website . Only U.S. citizens or current permanent residents are eligible for an application fee waiver.

Admission decisions

Applicants offered admission will be notified within two months after the application deadline. Applicants who are not offered admission will also be notified. After admission, students will be required to pay a non-refundable enrollment deposit to secure their spot in the program.

If you need disability accommodations to assist you with the admissions process, please contact  [email protected] .

Philosophy PhD

The Graduate Program in Philosophy at Berkeley offers a first-rate faculty, a stimulating and friendly community of graduate students, and the resources of one of the world's finest research universities.

Two features distinguish our profile from that of other leading graduate programs in philosophy:

• The department has strengths in all the main areas of philosophy, including epistemology, philosophy of mind, metaphysics, philosophy of language, logic, ethics, the history of philosophy, and philosophy of science. We aim at diversity and breadth of coverage, rather than concentration on one or two areas of philosophical activity.
• Second, the program at Berkeley is structured to give students a high degree of independence in tailoring their studies to their interests.

Those wishing to pursue graduate studies in philosophy can choose among several routes to a PhD at Berkeley:

• The Philosophy Department's graduate program leads to a PhD in Philosophy.
• Students with strong interests in Ancient Philosophy may want to take advantage of a special ancient concentration within the philosophy program.
• Students with strong interests in the History and Philosophy of Science may want to explore the special HPS concentration within the philosophy program.
• Students with strong interests in formal logic may pursue them in the Philosophy Department, in the Mathematics Department , or in Berkeley's interdisciplinary program leading to a PhD in Logic and the Methodology of Science , to which the Philosophy Department has close ties.

Contact Info

[email protected]

314 Philosophy Hall #2390 University of California

Berkeley, CA 94720-2390

At a Glance

Department(s)

Admit Term(s)

Application Deadline

January 8, 2024

Degree Type(s)

Doctoral / PhD

Degree Awarded

GRE Requirements