# Undergraduate Degree Requirements

### The Bachelor of Science in Mathematics

The requirements for this major are flexible to enable students to follow their interests. After calculus and a sequence of three basic theoretical courses, students complete the major with six or more upper-level courses. Students in the program must fulfill the following minimal requirements, earning a grade of C or higher in each course. Note that no single course may fulfill two requirements simultaneously.

- Analytic Geometry and Calculus 1, 2, 3 (12 credits total):
- MATH 0220
- MATH 0230
- MATH 0240 or 0245

- Three intermediate mathematics courses (10 credits total): 1
- Introduction to Theoretical Mathematics (4 credits): MATH 0413
- Introduction to Theory: One Variable Calculus (3 credits): MATH 0420
- Introduction to Abstract Algebraic Systems (3 credits): MATH 0430

- Linear Algebra 1 (3 credits):
- MATH 1180 or
- MATH 1185

- Ordinary Differential Equations 1 (3 credits): MATH 1270 or 1275
- At least one of the following courses:
- Applied Elementary Number Theory (3 credits): MATH 1020
- Introduction to Mathematical Cryptography (3 credits): Math 1025
- Combinatorial Mathematics (3 credits): MATH 1050
- Abstract Algebra (3 credits): MATH 1250
- Graph Theory (3 credits): Math 1310

- Three additional courses from this approved list (9 credits total):
- Applied Elementary Number Theory (3 credits): MATH 1020
- Introduction to Mathematical Cryptography (3 credits): Math 1025
- Combinatorial Mathematics (3 credits): MATH 1050
- Numerical Mathematics: Analysis (3 credits): MATH 1070
- Numerical Linear Algebra (3 credits): MATH 1080
- Introduction to Optimization (3 credits): MATH 1101
- Industrial Mathematics (3 credits): MATH 1110
- Abstract Algebra (3 credits): MATH 1250
- Ordinary Differential Equations 2 (3 credits): MATH 1280
- Topics in Geometry (3 credits): MATH 1290
- Graph Theory (3 credits): MATH 1310
- Projective Geometry (3 credits): MATH 1330
- Introduction to Differential Geometry (3 credits): MATH 1350
- Modeling in Applied Mathematics (3 credits): MATH 1360
- Mathematical Biology (3 credits): 1380
- Introduction to Foundations of Mathematics (3 credits): MATH 1410
- Foundations of Mathematics 2 (3 credits): MATH 1420
- Partial Differential Equations (3 credits): MATH 1470
- Mathematical Probability (3 credits): Math 1510
- Advanced Calculus 1, 2 (3 credits each): MATH 1530, MATH 1540
- Vector Analysis (3 credits): MATH 1550
- Complex Variables for Science/Engineering Students (3 credits): MATH 1560
- Fourier Analysis (3 credits): MATH 1570
- Introduction to Topology (3 credits): MATH 1700
- Intermediate Mathematical Statistics 1, 2 (3 credits each): STAT 1631, STAT 1632
- Any three-credit, graduate-level mathematics course

- Basic Physics for Science and Engineering 1 (4 credits): PHYS 0174
Programming (3 credits): CS 0007 or CS 0008 or CS 0401

- Students are required by the College of Arts and Sciences to complete a 12-credit related area. The area will be determined in consultation with the major advisor.

#### Requirements for Departmental Honors in Mathematics

The Department also offers a program for students pursuing a major in mathematics leading to graduation with departmental honors in mathematics. The program is designed for students who are considering graduate study in mathematics or a related field that makes use of mathematics. In order to qualify for departmental honors in mathematics, a student must:

- Fulfill all requirements for a degree in mathematics.
- Complete the following courses with grade of at least B.
- MATH 1250 Abstract Algebra
- MATH 1530 Advanced Calculus 1
- MATH 1540 Advanced Calculus 2
- One 2000 level mathematics course in lieu of an upper level elective

- Complete an honors thesis under the direction of a mathematics faculty member or earn a B grade or higher in a second 2000 level mathematics course. (For students seeking a BPhil degree from the Honors College, this requirement could be satisfied by the Honors College Thesis.) Course credit for thesis work will normally be awarded as MATH 1902 (Directed Study).

Although not required, it is highly recommended that honors degree candidates take the intermediate honors courses MATH 1185 and MATH 0450 during the freshman or sophomore year.

Students interested in the departmental honors program should consult with the undergraduate director or department chairperson as early as possible, preferably during the freshman or sophomore year, even if they have not yet declared a major.

The department's Undergraduate Committee is responsible for certifying students who graduate with departmental honors in mathematics. The Undergraduate Committee is empowered to make minor changes in requirements based on individual circumstances.

- Notes
- 1. Highly qualified students may substitute MATH 0450 (Introduction to Analysis) for MATH 0413 and MATH 0420.

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