BS in Mathematics

53 hrs. total

Updated September 2007 using the 2007-2008 MAP sheet.

Major Requirements

1. Grades of C- or below will not be acceptable in major courses.

2. Complete the following core requirements:
   • 112 or 112H*. Calculus 1 (4 hrs)
   • 113 or 113H*. Calculus 2 (4 hrs)
   • 190. Fundamentals of Mathematics (3 hrs)
   • 214. Calculus of Several Variables (formerly 344) (3 hrs)
   • 315. Theory of Analysis (3 hrs)
   • 334. Ordinary Differential Equations (formerly 434) (3 hrs)
   • 343. Elementary Linear Algebra (3 hrs)
   • 371. Abstract Algebra I (3 hrs)

3. Complete the following:
   • 316. Theory of Analysis (3 hrs)
   • 332. Introduction to Complex Analysis (3 hrs)

4. Complete the following:
   • CS 142. Introduction to Computer Programming (3 hrs)

5. Complete one of the following:
   • Stat 321. Elements of Mathematical Statistics (3 hrs)
   • Stat 441. Statistical Theory 1 (3 hrs)

6. After consulting with a faculty advisor, complete four courses from one of the following areas of specialization (at least one 500-level course must be included):

   Applied Mathematics:

   • 347. Introduction to Partial Differential Equations (3 hrs)
   • 511. Numerical Methods for Partial Differential Equations (3 hrs)
   • 521. Methods of Applied Mathematics (3 hrs)
   • 522. Methods of Applied Mathematics (3 hrs)
   • 534. Introduction to Dynamical Systems (3 hrs)
   • 541. Real Analysis (3 hrs)
   • 542. Real Analysis (3 hrs)
   • 547. Partial Differential Equations (3 hrs)
   • 570. Matrix Analysis (3 hrs)

   Discrete Math and Geometry:

   • 350. Combinatorics (3 hrs)
   • 355. Graph Theory (3 hrs)
   • 362. Survey of Geometry
   • 387. Number Theory (3 hrs)
   • 451. Introduction to Topology (3 hrs)
   • 532. Complex Analysis (3 hrs)
   • 553. Foundations of Topology 1 (3 hrs)
   • 554. Foundations to Topology 2 (3 hrs)
   • 570. Matrix Analysis (formerly 585) (3 hrs)

   Numerical analysis:

   • 347. Introduction to Partial Differential Equations (3 hrs)
   • 410. Introduction to Numerical Methods (3 hrs)
   • 411. Numerical Methods (3 hrs)
   • 510. Numerical Methods for Linear Algebra (3 hrs)
   • 511. Numerical Analysis for Partial Differential Equations (3 hrs)

   Pure mathematics:

   • 372. Abstract Algebra
   • 387. Number Theory
   • 451. Introduction to Topology (3 hrs)
   • 532. Complex Analysis
   • 541. Real Analysis
   • 542. Real Analysis
   • 553. Foundations of Topology 1 (3 hrs)
   • 554. Foundations to Topology 2 (3 hrs)

7. Complete an additional 3 hours from the following:
   • 300. History of Mathematics (3 hrs)
   • 347. Introduction to Partial Differential Equations (3 hrs)
   • 350. Combinatorics (3 hrs)
   • 355. Graph Theory (3 hrs)
   • 362. Survey of Geometry (3 hrs)
   • 372. Abstract Algebra (3 hrs)
   • 387. Number Theory (3 hrs)
   • 410. Introduction to Numerical Methods (3 hrs)
   • 411. Numerical Methods (3 hrs)
   • 451. Introduction to Topology (3 hrs)
   • 460R. Topics in Geometry (3 hrs)
   • 480. Mathematical Models (3 hrs)
   • 495R. Readings in Mathematics (1-2 hrs)
   • 501. Real Numbers (3 hrs)
   • 502. Set Theory (3 hrs)
   • 510. Numerical Methods for Linear Algebra (3 hrs)
   • 511. Numerical Methods for Partial Differential Equations (3 hrs)
   • 513R. Advanced Topics in Applied Mathematics (3 hrs)
   • 521, 522. Methods of Applied Mathematics (3 hrs each)
   • 530. Calculus of Variations (3 hrs)
   • 532. Complex Analysis (3 hrs)
   • 534, 535 Introduction to Dynamical Systems (3 hrs each)
   • 541, 542. Real Analysis (3 hrs each)
   • 543. Advanced Probability (3 hrs)
   • 547. Partial Differential Equations (3 hrs)
   • 553. Foundations of Topology 1 (3 hrs)
   • 554. Foundations to Topology 2 (3 hrs)
   • 561, 562 Introduction to Algebraic Geometry (3 hrs each)
   • 570. Matrix Analysis (formerly Math 585) (3 hrs)
   • 587. Introduction to Analytic Number Theory (3 hrs)
   • 586. Introduction to Algebraic Number Theory (3 hrs)
   • Phscs 517. Mathematical Physics (3 hrs)

8. Students who continue toward graduate work should complete
   • 372. Abstract Algebra (3 hrs)
   • 532. Complex Analysis (3 hrs)
   • 541, 542. Real Analysis (3 hrs each)

9. Those planning for doctoral work should also complete
   • 451. Introduction to Topology (3 hrs)
   • 553. Foundations of Topology 1 (3 hrs)
   • 554. Foundations to Topology 2 (3 hrs)
   and are advised to gain competence in one or two languages from French, German, and Russian.

10. Students are required to take the mathematics major field test (or the GRE Math subject test) the last semester before they graduate.  The MFT is an ETS (Educational Testing Service) standardized assessment test of undergraduate mathematics.  Go to ETS Major Field Tests for test description and sample problems.  A passing score is required.  This test does not appear on your transcript of affect your GPA.

11. Students must participate in an exit interview during their last semester in order to qualify for graduation.

Recommended Courses

• Phscs 121, 220*. Principles of Physics (3 hrs each)

*Hours include courses that may fulfill GE or university requirements.