# Course Requirements: Applied Mathematics

### Requirements for the Major in Applied Mathematics

(consists of five lower-division and eight upper-division courses)

**LOWER-DIVISION REQUIRED COURSES**

Mathematics 1A Calculus

Mathematics 1B Calculus

Mathematics 53 Multivariable Calculus

Mathematics 54 Linear Algebra & Differential Equations

Mathematics 55 Discrete Mathematics

*(We will accept Physics 89 in lieu of Math 54 for students with a double major in Physics, provided that the grade is at least a C. We will accept EECS 16A plus EECS 16B in lieu of Math 54 for students with a double major in Computer Science or Electrical Engineering and Computer Science, provided that both grades are at least a C. We will accept Computer Science 70 in lieu of Mathematics 55 for students with a double major in Computer Science or Electrical Engineering and Computer Science, provided that the grade is at least a C.)*

**UPPER-DIVISION REQUIRED COURSES**

Mathematics 104 Introduction to Analysis

Mathematics 110 Linear Algebra

Mathematics 113 Introduction to Abstract Algebra

Mathematics 128A Numerical Analysis

Mathematics 185 Introduction to Complex Analysis

**THREE CLUSTERED ELECTIVES**

Applied Math majors, with signed approval by their faculty advisors, select a minimum of **three upper-division (or graduate) elective courses to form a coherent cluster (known as "Subplan" in Cal Central) in an applied area**. Courses in other departments may count toward this requirement
provided they have substantial mathematical content at an appropriately
advanced level and have a unit value of at least 3.

Sample clusters with suggested courses are listed below. Before any
alternative courses may be used as major electives, the student must
obtain a Faculty Advisor's signed approval on the Course Approval
Form or an email from the Faculty Advisor and submit it to the Math Department Staff Advisors through the Math/Applied Math Major Update Form.

SAMPLE CLUSTERS ("Subplans") AND APPROVED COURSES

(review clusters listed or design one with faculty advisor)

* Actuarial Science:* Mathematics 128B, Statistics 134 or 140, 135, 151A, Economics 141

*Mathematics 123, 189, Physics 105, Mechanical Engineering 104*

**Classical Mechanics:***Mathematics 124, 128B, Computer Science 162, 164, 170, 172, 174, 184, 188, 189*

**Computer Science:**For CS course enrollment instructions, please see http://www.eecs.berkeley.edu/Policies/enrollment.shtml

*Computer Science C100, 188, 189, Mathematics 170, Statistics C100, 133, 134 or 140, 154*

**Data Science:***Economics 103, 104, 141, Mathematics 103, 170, Statistics 134 or 140, 155*

**Economics:***Required: Mechanical Engineering 106; Elective: 2 of Mechanical Engineering 163, Chemical Engineering 141 or Engineering 115, Mathematics 126, Mathematics 128B*

**Fluid Mechanics:***Required: Geophysics 108 and 121; Elective: 1 of Geophysics 104, 122, 130 or 145*

**Geophysics:***Generally: Mathematics 123, 126, 128B*

**Life & Physical Sciences:***Required: 1 of Computer Science 176, Mathematics 127, MCB 160, MCB 166; Elective: 2 of Mathematics 170, 172, 126, 128B*

**Mathematical Biology:***Mathematics 123, 126, 128B*

**Numerical Analysis:***Statistics 134 or 140, Indust. Engnr. & Oper. Research 130, 160, 161, 162*

**Operations Research:***Mathematics 105, Statistics 134 or 140, 150*

**Probability Theory:***Mathematics 126, 189, Physics 137A, 137B*

**Quantum Mechanics:***Required: Math 140 and Physics 139; Elective: 1 of Math 126 or Math 141*

**Relativity:***Generally: Statistics 134 or 140, 135, 150, 151A, 151B, 153*

**Social Sciences:***Mathematics 128B, Statistics 134 or 140, 135, 150, 153, 154, 155, 156*

**Statistics:***Electrical Engineering and Computer Science 104, 120, 122, 123*

**Systems Theory:**

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Please also note the following...

Courses used to fulfill major requirements must be taken for a letter grade. If a required major course is taken Pass/No Pass, it would need to be repeated for a letter grade. If a major elective is taken Pass/No Pass, it would need to be repeated for a letter grade or a different (letter-graded) elective would need to take its place.

UC Berkeley courses used towards major requirements must be at least 3 semester units each.

A maximum of 4 non-Berkeley courses may be applied towards the 8 upper-division major requirements. In order for a non-UC Berkeley course to be used for the major it must be at least 4 quarter or 3 semester units, be accepted for units by the UC Berkeley admissions office, and be accepted by your assigned faculty advisor for the major requirement. (The faculty advisor's approval should be in writing and then submitted to 964 or 965 Evans for your student file.) Moreover, your grade point average in those of the 8 upper-division major requirements which were taken at UC Berkeley must be 2.0 or higher by the time of graduation in order to use any non-Berkeley courses towards upper-division major requirements. Questions?: Please contact one of the undergraduate advisors in 964 or 965 Evans.

The requirements and procedures for declaring the major can be found on our Majoring in Mathematics page.