| Required courses | Units | |
| MATH 410 | Fundamental Concepts of Modern Algebra | 4 |
| MATH 425ab | Fundamental Concepts of Analysis | 4-4 |
| MATH 471 | Topics in Linear Algebra | 4 |
| The other four courses must be chosen from: | Units | |
| MATH 407 | Probability Theory | 4 |
| MATH 408 | Mathematical Statistics | 4 |
| MATH 430 | Theory of Numbers | 4 |
| MATH 432 | Applied Combinatorics | 4 |
| MATH 435 | Vector Analysis and Introduction to Differential | |
| Geometry | 4 | |
| MATH 440 | Topology | 4 |
| MATH 445 | Mathematics of Physics and Engineering II | 4 |
| MATH 458 | Numerical Methods | 4 |
| MATH 465 | Ordinary Differential Equations | 4 |
| MATH 475 | Introduction to Theory of Complex Variables | 4 |
Three physics courses are required.
| Required courses | Units | |
| PHYS 151L | Fundamentals of Physics I: Mechanics, Waves, | |
| and Sound | 4 | |
| PHYS 152L | Fundamentals of Physics II: Thermodynamics, | |
| Electricity, and Magnetism | 4 | |
| PHYS 153L | Fundamentals of Physics III: Optics and Modern Physics | 4 |
Four additional courses in natural sciences or computer science, but excluding courses in mathematics, are required. At least two of these must be upper division courses, and each of the four courses must be acceptable for the Bachelor of Science degree in the department in which it is offered.
In addition, students in the honors program must register for at least four units of MATH 490x Directed Research.
The student must have an overall GPA of at least 3.5 in all upper division courses.
The minimum requirements for admission to the program are placement out of MATH 125 and 126 and acceptance into the program at the discretion of the Mathematics Department. Either the graduate algebra sequence MATH 510ab or the graduate analysis sequence MATH 525a and 520 must be completed in the junior year (with no grade lower than a B) to be considered for admission to the Graduate School for the senior year; thereafter, and as long as they meet standard Graduate School criteria to remain in good standing, participants will hold dual undergraduate and graduate status. A minimum overall GPA of 3.5 is required to remain in good standing in the program. The senior year and any additional semesters are dedicated in part to further work in mathematics. A master's thesis is required.
University unit requirements for the B.S. and M.A. degrees must be satisfied, and the specific course requirements for completion of the program are as follows:
Successful completion or placement out of MATH 125, 126, 225 and 226.
Successful completion of MATH 410, 425ab and 471 (with a grade of at least C) and at least two additional courses from MATH 407, 408, 430, 432, 435, 440, 445, 458, 465 and 475.
Successful completion of MATH 510a, 510b, 525a and 520 and at least two additional courses from MATH 502ab, 506, 507, 525b, 535ab, 540, 545, 547, and 555ab.
Successful completion or placement out of the sequence PHYS 151L, 152L and 153L and an additional three courses from the natural sciences, physical sciences or computer science; at least two of these three additional courses must be upper-division.
For sample curricula and further information about this program, consult the brochure The Accelerated Math Program available from the Mathematics Department.
Produced by the USC Division of Student Affairs, Office of University Publications, May 1, 1995