Requirements

B.S. IN MATHEMATICS

Requirements (102-120 units)
Total units required for graduation: 180-182

Lower-division requirements (30 units)

1. CSE 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)

Concentration (40-56 units)

Students must choose either the general track or one of the applied concentrations which follow:

General Track (41 units)

Lower-division requirement (5 units)

1. PHYS 221. General Physics I (5)

Electives (36 units)

1. 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 (56-58 units)

Lower-division requirements (27 units)

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

Upper-division requirements (17 units)

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

Electives (12-14 units):

1. 1. A minimum of eight units chosen from:
• BIOL 321. Evolution (4)
• BIOL 423. Genetics (5)
• BIOL 450. Ecology (5)
• BIOL 522. Population Genetics (4)
• BIOL 572. Virology (4)
• BIOL 573. Immunology (5)
2. 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 (40 units)

Lower-division requirement (4 units)

1. CSE 202. Computer Science II (4)

Upper-division requirements (8 units)

1. CSE 320. Programming Languages (4)
2. CSE 330. Data Structures (4)

Electives (28 units)

1. Twelve units chosen from:
• CSE 420. Computer Graphics (4)
• CSE 431. Algorithm Analysis (4)
• CSE 500. Introduction to Formal Languages and Automata (4)
• CSE 501. Introduction to Theory of Computation (4)
• CSE 512. Introduction to Artificial Intelligence (4)
• CSE 513. Advanced Artificial Intelligence (4)
• CSE 515. Automated Reasoning (4)
• CSE 520. Advanced Computer Graphics (4)
• CSE 524. Supercomputing and Visualization (4)
• CSE 535. Numerical Computation (4)
• CSE 550. Advanced Bioinformatics I: Sequence Analysis (4)
• CSE 551. Advanced Bioinformatics II: Numerical Modeling (4)
• CSE 556. Introduction to Formal Methods, Models, and Languages (4)
2. 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 (40 units)

Lower-division requirements (8 units)

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

Upper-division requirements (12 units)

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

Electives (20 units)

1. 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)
2. 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 Geographic Information Systems (48 units)

Lower-division requirements (14 units)

1. GEOG 103. Physical Geography (5)
2. GEOG 201. Map Interpretation (4)
3. GEOG 202. Introduction to Geographic Information Systems and Cartography (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:
• GEOG 306. Remote Sensing of Environment (4)
• GEOG 406. Digital Image Processing (4)
• GEOG 575. Internship in Geography (5)
2. Twelve units 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 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 Physics (49 units)

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:
• PHYS 306. Classical Mechanics I (4)
• PHYS 307. Classical Mechanics II (4)
• PHYS 313. Electrodynamics I (4)
• PHYS 314. Electrodynamics II (4)
• PHYS 315. Introduction to Modern Optics (4)
• PHYS 324. Statistical and Thermal Physics (4)
• PHYS 370. Introduction to Astrophysics (4)
• PHYS 421. Quantum Mechanics I (4)
• PHYS 422. Quantum Mechanics II (4)
• PHYS 430. Advanced Physics Laboratory (4)
• PHYS 450. Solid State Physics (4)
• PHYS 461. Introduction to Nuclear Physics (4)
• PHYS 463. Introduction to Elementary Particle Physics (4)
• PHYS 473. Mathematical Methods of Physics II (4)
• PHYS 480. Topics in Classical Physics (4)
• PHYS 485. Topics in Contemporary Physics (2)
• PHYS 573. Mathematical Methods of Physics III (4)
2. Twelve units of mathematics electives selected from the following with at least one four unit course 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)

For more information please visit our website. Department of Mathematics.

For official information please refer to the university catalog.