# Course Requirements: Pure Mathematics

### Requirements for the Major in 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 EE 16A plus EE 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 185 Introduction to Complex Analysis

**TWO SEMI-ELECTIVES**

Choose one course from two of the following three areas:

* Computing:* Math 124 Programming for Mathematical Applications or Math 128A Numerical Analysis

*Math 130 Classical Geometries, Math 140 Metric Differential Geometry, Math 141 Elementary Differential Topology, Math 142 Elementary Algebraic Topology, or Math 143 Elementary Algebraic Geometry*

**Geometry:***Math 125A Intro to Logic, Math 135 Intro to Theory of Sets, Math 136 Incompleteness and Undecidability*

**Logic and Foundations:****TWO ELECTIVES**

At least two additional upper-division (or graduate) mathematics courses must be taken, making a total of at least eight upper-division courses in the major. These two electives must receive a Faculty Advisor's written approval on the Course Approval Form which is then returned to an Undergraduate Advisor in 964 or 965 Evans for your student 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.

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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 a 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.