# Upper-Division

## MATH 100 Introduction to Proof and Problem Solving

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): satisfaction of the Entry Level Writing and Composition requirements; MATH 11A or MATH 19A or MATH 20A; and MATH 21 or AM 10 or AMS 10A.

#### General Education Code

MF

#### Quarter offered

Fall, Winter, Spring, Summer

## MATH 101 Mathematical Problem Solving

### Credits

#### Instructor

The Staff

#### General Education Code

PR-E

#### Quarter offered

Fall

## MATH 103A Complex Analysis

### Credits

#### Instructor

The Staff

#### Quarter offered

Winter, Spring, Summer

## MATH 103B Complex Analysis II

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 103A.

## MATH 105A Real Analysis

### Credits

#### Instructor

The Staff

#### Quarter offered

Fall, Winter, Summer

## MATH 105B Real Analysis

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 105A.

#### Quarter offered

Spring

## MATH 105C Real Analysis

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 105B.

## MATH 106 Systems of Ordinary Differential Equations

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21 or AM 10; and either MATH 24 or AM 20; and either MATH 100 or CSE 101.

#### Quarter offered

Winter

## MATH 107 Partial Differential Equations

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21 or AM 10; and MATH 24 or AM 20; and either MATH 100 or CSE 101; MATH 106 is recommended as preparation.

#### Quarter offered

Spring

## MATH 110 Introduction to Number Theory

### Credits

#### Instructor

The Staff

#### Quarter offered

Fall, Winter, Summer

## MATH 111A Algebra

### Credits

#### Instructor

The Staff

#### Quarter offered

Fall, Winter

## MATH 111B Algebra

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 111A.

#### Quarter offered

Spring

## MATH 111T Algebra

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100.

#### Quarter offered

Spring

## MATH 114 Introduction to Financial Mathematics

### Credits

#### Instructor

The Staff

## MATH 115 Graph Theory

### Credits

#### Instructor

The Staff

#### Quarter offered

Winter

## MATH 116 Combinatorics

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100 or CSE 101. Enrollment is restricted to sophomores juniors, and seniors. Familiarity with basic group theory is recommended.

#### Quarter offered

Spring

## MATH 117 Advanced Linear Algebra

### Credits

#### Instructor

The Staff

#### Quarter offered

Fall, Spring, Summer

## MATH 118 Advanced Number Theory

### Credits

#### Instructor

The Staff

## MATH 120 Coding Theory

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21.

## MATH 121A Differential Geometry

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21 and MATH 23B and either MATH 100 or CSE 101. MATH 105A strongly recommended.

#### Quarter offered

Spring

## MATH 121B Differential Geometry and Topology

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 121A.

## MATH 124 Introduction to Topology

### Credits

#### Instructor

The Staff

#### Quarter offered

Fall

## MATH 125 Applied Topology

Introduction to the theoretical foundations of topological data analysis (TDA), which is the study of datasets using tools from topology. Includes

some classical material from topology, elements of homological algebra and an introduction to the notion of persistence.

### Credits

#### Instructor

Staff

#### Requirements

Prerequisite(s): Math 117.

## MATH 128A Classical Geometry: Euclidean and Non-Euclidean

### Credits

#### Instructor

The Staff

#### Quarter offered

Spring

## MATH 128B Classical Geometry: Projective

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 21.

## MATH 129 Algebraic Geometry

### Credits

#### Instructor

The Staff

#### Quarter offered

Winter

## MATH 130 Celestial Mechanics

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 19A and 19B; and MATH 23A or PHYS 5A or PHYS 6A; MATH 21 and MATH 24 strongly recommended.

## MATH 134 Cryptography

### Credits

#### Instructor

The Staff

#### Quarter offered

Fall

## MATH 140 Industrial Mathematics

### Credits

#### Instructor

The Staff The Staff

#### Quarter offered

Winter

## MATH 145 Introductory Chaos Theory

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 22 or MATH 23A; MATH 21; MATH 100 or CSE 101. Concurrent enrollment in MATH 145L is required.

#### Quarter offered

Fall

## MATH 145L Introductory Chaos Laboratory

### Credits

#### Instructor

The Staff

#### Requirements

Concurrent enrollment in MATH 145 is required.

#### Quarter offered

Fall

## MATH 148 Numerical Analysis

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 22 or MATH 23A; and MATH 21 or AM 10; and MATH 24 or AM 20; and MATH 103A or MATH 105A or MATH 152 or AM 147 or CSE 101. Concurrent enrollment in MATH 148L is required.

## MATH 148L Numerical Analysis Laboratory

### Credits

#### Instructor

The Staff

#### Requirements

Concurrent enrollment in MATH 148 is required.

#### Quarter offered

Spring

## MATH 152 Programming for Mathematics

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100.

#### General Education Code

MF

#### Quarter offered

Winter

## MATH 160 Mathematical Logic I

### Credits

#### Instructor

The Staff

## MATH 161 Mathematical Logic II

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 100 or equivalent, or by permission of instructor.

## MATH 162 Introduction to Computably Enumerable Functions and Sets and their Degrees

### Credits

#### Instructor

Frank Bauerle

#### Quarter offered

Spring

## MATH 181 History of Mathematics

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): MATH 19B or MATH 20B. MATH 100 is strongly recommended for preparation.

#### General Education Code

TA

#### Quarter offered

Winter

## MATH 192 Dir Stu Teach

### Credits

#### Instructor

The Staff

## MATH 194 Senior Seminar

### Credits

#### Instructor

The Staff

#### Requirements

Prerequisite(s): satisfaction of the Entry Level Writing and Composition requirements; MATH 103A or MATH 105A or MATH 110 or MATH 111A or MATH 111T or MATH 117. Enrollment priority is given to seniors; juniors may request permission from the undergraduate vice chair.

#### Quarter offered

Winter, Spring, Summer

## MATH 195 Senior Thesis

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

#### Quarter offered

Fall, Winter, Spring

## MATH 199 Tutorial

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes

#### Quarter offered

Fall, Winter, Spring

## MATH 199F Tutorial

### Credits

#### Instructor

The Staff

#### Repeatable for credit

Yes