Major in Math - Pure Mathematics Concentration

 The Pure Mathematics Concentration requires 66 units completed with a grade equivalent of 2.00 or higher. 

Students must complete the Core Curriculum requirements in addition to the requirements for a concentration.

The following are common requirements for all Mathematics concentrations:

MATH 265ELEMENTARY LINEAR ALGEBRA4
MATH 267INTRODUCTION TO ABSTRACT MATHEMATICS4
MATH 273CALCULUS I4
MATH 274CALCULUS II4
MATH 275CALCULUS III4
Select one of the following courses:3-4
INTRODUCTION TO ABSTRACT ALGEBRA
LINEAR ALGEBRA
INTRODUCTORY REAL ANALYSIS
Total Units23-24

Pure Mathematics Concentration

Required Courses
Common requirements (see above)24
COSC 236INTRODUCTION TO COMPUTER SCIENCE I4
MATH 331PROBABILITY4
MATH 374DIFFERENTIAL EQUATIONS3
MATH 463LINEAR ALGEBRA3
MATH 467ALGEBRAIC STRUCTURES3
MATH 473INTRODUCTORY REAL ANALYSIS4
MATH 475COMPLEX ANALYSIS3
MATH 490SENIOR SEMINAR IN MATHEMATICS3
Upper-Division Mathematics Electives
Select at least five of the following15
Select at least two of the following:
APPLIED COMBINATORICS
MATHEMATICAL STATISTICS
EUCLIDEAN AND NON-EUCLIDEAN GEOMETRIES
MATHEMATICAL MODELS 1
COMPUTATIONAL PROBABILITY MODELS
FOURIER ANALYSIS WITH APPLICATIONS
Select at least two of the following: 2
GRAPH THEORY
DIFFERENTIAL GEOMETRY
THEORY OF NUMBERS
TOPOLOGY
Total Units66
1

One of MATH 377 or MATH 439, but not both

Note: The Department of Mathematics recommends PHYS 241 be taken to satisfy the Core Curriculum requirement for Biological and Physical Sciences.

Suggested Four-Year Plan

Freshman
Term 1UnitsTerm 2Units
MATH 2734MATH 2654
ENGL 102 or TSEM 102 (Core 1 or 2)3MATH 2744
Core 3COSC 2364
Core3TSEM 102 or ENGL 102 (Core 2 or 1)3
 13 15
Sophomore
Term 1UnitsTerm 2Units
MATH 2674MATH 3314
MATH 2754MATH 3743
Core 7 (PHYS 241 recommended)3-4Core 8 (PHYS 242 recommended)3-4
Core3Core3
Elective1-3Core3
 15-18 16-17
Junior
Term 1UnitsTerm 2Units
MATH 3694MATH 4633
MATH Elective3MATH Elective3
Elective3-4MATH Elective3
Core3MATH Elective3
Core3Core3
 16-17 15
Senior
Term 1UnitsTerm 2Units
MATH 4673MATH 4753
MATH 4734MATH 4903
MATH Elective3MATH Elective3
Core3-4Elective3-4
Elective3-4Elective3-4
 16-18 15-17
Total Units 121-130

1. Demonstrate knowledge of the properties of numbers and of sets.
2. Demonstrate skills and knowledge of appropriate technology used in solving mathematical problems.
3. Demonstrate skills and knowledge of the basic concepts of calculus.
4. Demonstrate skills and knowledge of linear and abstract algebra.
5. Demonstrate skills and knowledge of basic probability and/or statistics