B.S. IN MATHEMATICS

The Department of Mathematics has substantially revised the BS Mathematics degree, effective Fall quarter of 2008. All students declaring a BS major in the fall quarter of 2008 or after must meet these new requirements.

The BS in Mathematics offers a general track along with five applied concentrations. The BS degree should be useful to students planning further study in mathematics, either in a graduate mathematics program (pure or applied) or in an interdisciplinary graduate program.

A student majoring in the BS Mathematics progam must complete the core requirements listed below and either the general track or one of the options (click on the headings below to see the requirements).

Core requirements (common to all options)

Lower-division requirements (30 units)
1. CSCI 201. Computer Science I (4)
2. MATH 211. Basic Concepts of Calculus (4)
3. MATH 212. Calculus II (4)
4. MATH 213. Calculus III (4)
5. MATH 241. Problem Solving in Calculus (2)
6. MATH 251. Multivariable Calculus I (4)
7. MATH 252. Multivariable Calculus II (4)
8. MATH 270. Elementary Differential Equations (4)
Upper-division requirements (32 units)
1. MATH 329. Transformation Geometry (4)
2. MATH 331. Linear Algebra (4)
3. MATH 345. Number Theory and Proof (4)
4. MATH 355. Analysis and Proof (4)
5. MATH 372. Combinatorics (4)
6. MATH 465. Probability Theory (4)
7. MATH 545. Abstract Algebra I (4)
8. MATH 553. Analysis I (4)

General Track

Lower division requirements (5 units):
Physics 221. General Physics I (5)

Electives (36 units)

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.

Group A (Applied Mathematics):

MATH 320. Mathematical Interest Theory (4)
MATH 455. Fourier Analysis (4)
MATH 470. Ordinary Differential Equations (4)
MATH 474. Numerical Methods (4)
MATH 557. Complex Variables (4)
MATH 565. Mathematical Statistics (4)
MATH 570. Partial Differential Equations (4)
MATH 576. Introduction to Mathematical Models (4)

Group B (Pure Mathematics):

MATH 411. Introduction to Mathematical Logic (4)
MATH 480. Topics in History of Mathematics (4)
MATH 510. Topics in Mathematics (4)
MATH 529. Advanced Geometry (4)
MATH 531. Advanced Linear Algebra (4)
MATH 546. Abstract Algebra II (4)
MATH 554. Analysis II (4)
MATH 555. Introduction to Point-Set Topology (4)
MATH 595D. Independent Study (4)

Concentration in Biology

Lower-division requirements (27 units):

BIOL 200. Biology of the Cell (5)
BIOL 201. Biology of Organisms (5)
BIOL 202. Biology of Populations (5)
CHEM 215. General Chemistry I (6)
CHEM 216. General Chemistry II (6)

Upper-division requirements (17 units):

BIOL 300. Cell Physiology (5)
MATH 470. Ordinary Differential Equations (4)
MATH 565. Mathematical Statistics (4)
MATH 576. Introduction to Mathematical Models (4)

Electives (12-14 units):

A minimum of eight units chosen from:

BIOL 321. Evolution (4)
BIOL 421. Genetics (4)
BIOL 422. Genetics Laboratory (1)
BIOL 450. Ecology (5)
BIOL 522. Population Genetics (4)
BIOL 572. Virology (4)
BIOL 573. Immunology (5)

Four units chosen from:

MATH 320. Mathematical Interest Theory (4)
MATH 411. Introduction to Mathematical Logic (4)
MATH 455. Fourier Analysis (4)
MATH 474. Numerical Methods (4)
MATH 480. Topics in History of Mathematics (4)
MATH 510. Topics in Mathematics (4)
MATH 529. Advanced Geometry (4)
MATH 531. Advanced Linear Algebra (4)
MATH 546. Abstract Algebra II (4)
MATH 554. Analysis II (4)
MATH 555. Introduction to Point-Set Topology (4)
MATH 557. Complex Variables (4)
MATH 570. Partial Differential Equations (4)
MATH 595D. Independent Study (4)

Concentration in Computer Science

Lower-division requirement (4 units):

CSCI 202. Computer Science II (4)

Upper-division requirements (8 units):

CSCI 320. Programming Languages (4)
CSCI 330. Data Structures (4)

Electives (28 units):

Twelve units chosen from:

CSCI 420. Computer Graphics (4)
CSCI 431. Algorithm Analysis (4)
CSCI 500. Introduction to Formal Languages and Automata (4)
CSCI 512. Introduction to Artificial Intelligence (4)
CSCI 513. Advanced Artificial Intelligence (4)
CSCI 515. Automated Reasoning (4)
CSCI 520. Advanced Computer Graphics (4)
CSCI 524. Supercomputing and Visualization (4)
CSCI 535. Numerical Computation (4)
CSCI 546. Introduction to Theory of Computation (4)
CSCI 550. Advanced Bioinformatics I: Sequence Analysis (4)
CSCI 551. Advanced Bioinformatics II: Numerical Modeling (4)
CSCI 556. Introduction to Formal Methods, Models, and Languages (4)

Sixteen units of mathematics electives selected from the following with at least eight units chosen from 500-level courses:

MATH 320. Mathematical Interest Theory (4)
MATH 411. Introduction to Mathematical Logic (4)
MATH 455. Fourier Analysis (4)
MATH 470. Ordinary Differential Equations (4)
MATH 474. Numerical Methods (4)
MATH 480. Topics in History of Mathematics (4)
MATH 510. Topics in Mathematics (4)
MATH 529. Advanced Geometry (4)
MATH 531. Advanced Linear Algebra (4)
MATH 546. Abstract Algebra II (4)
MATH 554. Analysis II (4)
MATH 555. Introduction to Point-Set Topology (4)
MATH 557. Complex Variables (4)
MATH 565. Mathematical Statistics (4)
MATH 570. Partial Differential Equations (4)
MATH 576. Introduction to Mathematical Models (4)
MATH 595D. Independent Study (4)

Concentration in Economics

Lower-division requirements (8 units):

1. ECON 200. Principles of Macroeconomics (4) 2. ECON 202. Principles of Microeconomics (4)

Upper-division requirements (12 units):

MATH 320. Mathematical Interest Theory (4)
MATH 565. Mathematical Statistics (4)
MATH 576. Introduction to Mathematical Models (4)

Electives (20 units):
Sixteen units chosen from:

ECON 300. Intermediate Macroeconomics (4)
ECON 302. Intermediate Microeconomics (4)
ECON 360. Economics of the Environment (4)
ECON 410. Money and Banking (4)
ECON 430. International Economics (4)
ECON 435. Multinational Corporations (4)
ECON 475. Public Finance (4)
ECON 480. Quantitative Methods in Economics (4)
ECON 490. Introduction to Econometrics (4)

. Four units chosen from:

MATH 411. Introduction to Mathematical Logic (4)
MATH 455. Fourier Analysis (4)
MATH 470. Ordinary Differential Equations (4)
MATH 474. Numerical Methods (4)
MATH 480. Topics in History of Mathematics (4)
MATH 510. Topics in Mathematics (4)
MATH 529. Advanced Geometry (4)
MATH 531. Advanced Linear Algebra (4)
MATH 546. Abstract Algebra II (4)
MATH 554. Analysis II (4)
MATH 555. Introduction to Point-Set Topology (4)
MATH 557. Complex Variables (4)
MATH 570. Partial Differential Equations (4)
MATH 595D. Independent Study (4)

Concentration in GIS

Lower-division requirements (14 units):

GEOG 103 Physical Geography (5)
GEOG 201 Map Interpretation (4)
GEOG 202 Introduction to Geographic Information Systems and Mapping (5)

Upper-division requirements (14 units):
1. GEOG 308. Advanced Geographic Information Systems (5)
2. GEOG 402. Geographic Information Systems Applications (5)
3. MATH 470. Ordinary Differential Equations (4)
Electives (20 units):
1. At least eight units to be chosen from:
2. Twelve units selected from the following with at least eight units chosen from 500-level courses:

Concentration in Physics
Lower-division requirements (21 units):
1. PHYS 221. General Physics I (5)
2. PHYS 222. General Physics II (5)
3. PHYS 223. General Physics III (5)
4. PHYS 224. General Physics IV (3)
5. PHYS 225. General Physics V (3)
Upper-division requirement (4 units):
1. PHYS 373. Mathematical Methods of Physics I (4)
Electives (24 units):
1. Twelve units chosen from:
2. Twelve units of mathematics electives selected from the following with at least one four unit course chosen from 500-level courses:

B.S. IN MATHEMATICS

Electives (36 units)

Group A (Applied Mathematics):

Group B (Pure Mathematics):

Lower-division requirements (21 units):

Upper-division requirement (4 units):

Electives (24 units):