Bachelor of Science in Mathematics

Requirements (102-120 units)

Total units required for graduation: 180-182

Requirements for the B.S. in Mathematics

Lower-division requirements (30)
CSE 201Computer Science I4
MATH 211Basic Concepts of Calculus4
MATH 212Calculus II4
MATH 213Calculus III4
MATH 241Problem Solving in Calculus2
MATH 251Multivariable Calculus I4
MATH 252Multivariable Calculus II4
MATH 270Elementary Differential Equations4
Upper-division requirements (32)
MATH 329Transformation Geometry4
MATH 331Linear Algebra4
MATH 345Number Theory and Proof4
MATH 355Analysis and Proof4
MATH 372Combinatorics4
MATH 465Probability Theory4
MATH 545Abstract Algebra I4
MATH 553Analysis I4
Concentration (40-56)
Students must choose either the general track or one of the applied concentrations which follow: 40-56
Total Units102-118

General Track (Program Code: MAGT)

Lower-division requirement (5)
PHYS 221General Physics I5
Electives (36)
Thirty-six units of mathematics electives selected from the following, with at least eight units chosen from 500-level courses. At least twelve units must be chosen from group A, and at least twelve units must be chosen from group B below.36
Group A (Applied Mathematics):
Mathematical Interest Theory
Fourier Analysis
Ordinary Differential Equations
Numerical Methods
Complex Variables
Mathematical Statistics
Partial Differential Equations
Introduction to Mathematical Methods
Group B (Pure Mathematics):
Topics in History of Mathematics
Differential Geometry
Topics in Mathematics
Advanced Geometry
Advanced Linear Algebra
Abstract Algebra II
Analysis II
Introduction to Point-Set Topology
Independent Study
Total Units41

Concentration in Biology (56-58 units) (Program Code: MABC)

Lower-division requirements (27)
BIOL 200Biology of the Cell5
BIOL 201Biology of Organisms5
BIOL 202Biology of Populations5
CHEM 215General Chemistry I: Atomic Structure and Chemical Bonding6
CHEM 216General Chemistry II: Principles of Chemical Reactions6
Upper-division requirements (17)
BIOL 300Cell Physiology5
MATH 470Ordinary Differential Equations4
MATH 565Mathematical Statistics4
MATH 576Introduction to Mathematical Methods4
Electives (12-14)
A minimum of eight units chosen from:8-10
Evolution
Genetics
Ecology
Population Genetics
Virology
Immunology
Four units chosen from:4
Mathematical Interest Theory
Fourier Analysis
Numerical Methods
Topics in History of Mathematics
Differential Geometry
Topics in Mathematics
Advanced Geometry
Advanced Linear Algebra
Abstract Algebra II
Analysis II
Introduction to Point-Set Topology
Complex Variables
Partial Differential Equations
Independent Study
Total Units56-58

Concentration in Computer Science (40 units) (Program Code: MACS)

Lower-division requirement (4)
CSE 202Computer Science II4
Upper-division requirements (8)
CSE 320Programming Languages4
CSE 330Data Structures4
Electives (28)
Twelve units chosen from:12
Computer Graphics
Algorithm Analysis
Introduction to Formal Languages and Automata
Introduction to Theory of Computation
Introduction to Artificial Intelligence
Advanced Artificial Intelligence
Automated Reasoning
Advanced Computer Graphics
Supercomputing and Visualization
Numerical Computation
Advanced Bioinformatics I: Sequence Analysis
Advanced Bioinformatics II: Numerical Modeling
Sixteen units of mathematics electives selected from the following with at least eight units chosen from 500-level courses:16
Mathematical Interest Theory
Fourier Analysis
Ordinary Differential Equations
Numerical Methods
Topics in History of Mathematics
Differential Geometry
Topics in Mathematics
Advanced Geometry
Advanced Linear Algebra
Abstract Algebra II
Analysis II
Introduction to Point-Set Topology
Complex Variables
Mathematical Statistics
Partial Differential Equations
Introduction to Mathematical Methods
Independent Study
Total Units40

Concentration in Economics (40 units) (Program Code: MAEC)

Lower-division requirements (8)
ECON 200Principles of Microeconomics4
ECON 202Principles of Macroeconomics4
Upper-division requirements (12)
MATH 320Mathematical Interest Theory4
MATH 565Mathematical Statistics4
MATH 576Introduction to Mathematical Methods4
Electives (20)
Sixteen units chosen from:16
Intermediate Macroeconomics
Intermediate Microeconomics
Economics of the Environment
Money and Banking
International Economics
Multinational Corporations
Public Economics
Quantitative Methods in Economics
Introduction to Econometrics
Four units chosen from:4
Fourier Analysis
Ordinary Differential Equations
Numerical Methods
Topics in History of Mathematics
Differential Geometry
Topics in Mathematics
Advanced Geometry
Advanced Linear Algebra
Abstract Algebra II
Analysis II
Introduction to Point-Set Topology
Complex Variables
Partial Differential Equations
Independent Study
Total Units40

Concentration in Geographic Information Systems (48 units) (Program Code: MAGI)

Lower-division requirements (14)
GEOG 103Physical Geography5
GEOG 201Map Interpretation4
GEOG 202Introduction to Geographic Information Systems and Cartography5
Upper-division requirements (14)
GEOG 308Advanced Geographic Information Systems5
GEOG 402Geographic Information Systems Applications5
MATH 470Ordinary Differential Equations4
Electives (20)
At least eight units to be chosen from:8
Remote Sensing of the Environment
Digital Image Processing
GEOG 575D-E
Internship in Geography
Twelve units selected from the following with at least eight units chosen from 500-level courses:12
Mathematical Interest Theory
Fourier Analysis
Numerical Methods
Topics in History of Mathematics
Differential Geometry
Topics in Mathematics
Advanced Geometry
Advanced Linear Algebra
Abstract Algebra II
Analysis II
Introduction to Point-Set Topology
Complex Variables
Mathematical Statistics
Partial Differential Equations
Introduction to Mathematical Methods
Independent Study
Total Units48

Concentration in Physics (49 units) (Program Code: MAPC)

Lower-division requirements (21)
PHYS 221General Physics I5
PHYS 222General Physics II5
PHYS 223General Physics III5
PHYS 224General Physics IV3
PHYS 225General Physics V3
Upper-division requirement (4)
PHYS 373Mathematical Methods of Physics I4
Electives (24)
Twelve units chosen from:12
Classical Mechanics I
Classical Mechanics II
Electrodynamics I
Electrodynamics II
Introduction to Modern Optics
Statistical and Thermal Physics
Introduction to Astrophysics
Quantum Mechanics I
Quantum Mechanics II
Advanced Physics Laboratory
Solid State Physics
Introduction to Nuclear Physics
Introduction to Elementary Particle Physics
Mathematical Methods of Physics II
Topics in Classical Physics: Mechanics
Topics in Classical Physics: Electrodynamics
Topics in Contemporary Physics
Mathematical Methods of Physics III
Twelve units of mathematics electives selected from the following with at least one four unit course chosen from 500-level 12
Mathematical Interest Theory
Fourier Analysis
Ordinary Differential Equations
Numerical Methods
Topics in History of Mathematics
Differential Geometry
Topics in Mathematics
Advanced Geometry
Advanced Linear Algebra
Abstract Algebra II
Analysis II
Introduction to Point-Set Topology
Complex Variables
Mathematical Statistics
Partial Differential Equations
Introduction to Mathematical Methods
Independent Study
Total Units49