Program Overview

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University Program Information

Department of Mathematics

The Department of Mathematics at the University of California, Berkeley, is adopting new course numbering effective Fall 2025. The changes include:

• Math 32 becoming Math 3
• Math 1A becoming Math 51
• Math 1B becoming Math 52

Research Areas

The department has various research areas, including:

• Algebra
• Mathematical Analysis
• Applied Mathematics
• Geometry/Topology
• Mathematical Logic
• Probability

Courses

The department offers a range of courses, including:

• Math 16A: Analytic Geometry and Calculus
• Math 16B
• Math 1A
• Math 1B
• Math 10A
• Math 10B
• Math 32
• Math 53
• Math 54
• Math 55
• Math 56

Math 16A Course Details

Course Format

• Three hours of lecture
• One and one-half hours of discussion per week

Prerequisites

• Three years of high school math, including trigonometry
• A satisfactory grade in one of the following: CEEB MAT test, an AP test, the UC/CSU math diagnostic exam, or 32

Credit Restrictions

• Students will receive no credit for 16A after taking 1A

Description

• Calculus of one variable; derivatives, definite integrals and applications, maxima and minima, and applications of the exponential and logarithmic functions
• The sequence Math 16A, 16B is intended for students outside the physical sciences and engineering whose major requirements are satisfied by one or both courses, and who do not plan to take more advanced mathematics courses

Textbook

• Lial, Greenwell, Ritchey, Calculus with Applications, 12th Edition

Course Outline

Chapter	Topic	Hours
1	Linear Functions	2
2	Nonlinear Functions	4
13	The Trigonometric Functions	1
3	The Derivative	6.5
4	Calculating the Derivative	5
13	The Trigonometric Functions	1
12	Sequences and Series	0.5
5	Graphs and Derivatives	5
6	Applications of the Derivative	6
7	Integration	7

• Total class hours: 38
• Midterms & Holidays: 4 hours
• Total: 42 hours

Undergraduate Program

The department offers undergraduate programs, including:

• Major in Applied Mathematics
• Major in Mathematics
• Major with a Teaching Concentration
• Declaring the Major
• Frequently Asked Questions
• Honors Program
• Minor
• Advising
• Putnam Competition
• Student Learning Goals & Curriculum Map
• Study Abroad
• Undergraduate Research Opportunities
• Career Resources

Graduate Program

The department offers graduate programs, including:

• Ph.D. Program
  • Preliminary Examination
  • Qualifying Examination
  • Dissertation Filing
• M.A. in Mathematics
• Admissions
  • Frequently Asked Questions
• New Graduate Students
• Funding
  • Graduate Fellowships
• Graduate Life

Honors and Awards

The department offers various honors and awards, including:

• Herb Alexander Prize
• Bernard Friedman Memorial Prize
• Kenneth Ribet & Lisa Goldberg Award
• Nikki Kose Memorial Teaching Prize
• Outstanding GSI Award
• University Medalist
• Valedictorian
• Paul Chernoff Memorial Prize
• Dorothea Klumpke Roberts Prize
• Percy Lionel Davis Award
• Alice T. Schafer Prize
• Putnam Competition

History

The department has a rich history, including:

• 150W
• Department Chairs
• Other Viewpoints
• Gallery

People

The department consists of:

• Faculty
  • Senate
  • Emeriti
  • Postdocs, Instructors, and Morreys
  • Visitors
• Staff
• Graduate Students
• Officers
• Past Department Members
  • In Memoriam
  • Past Senate Faculty
  • Past Postdocs, Instructors, and Morreys
  • Past PhD Students

Resources

The department provides various resources, including:

• Campus Student Support Resources
• Anonymous Feedback
• Room Reservation
• Committee Descriptions
• Resolving Problems & Complaints
• Department Resources & Support
• Building Emergency Plan
• ERSO
• Employee Resources
• Finance & Business Services
  • Purchasing
  • Reimbursement
• Academic Human Resources
  • Non-Senate Academic Appointments
  • Senate Academic Appointments
  • Academic Student Appointments
• Building & Support Services
• Computing Services
• Faculty Only