Mathematics is both a science and an art. Like any great art, mathematics has an intrinsic beauty and coherence that has attracted practitioners for centuries. Yet, unlike other arts, mathematics is a surprisingly effective tool for describing the natural world. Indeed, mathematics has come to serve as the foundation of modern science, through its language and results. Some mathematical results were initially developed in order to solve internally generated mathematical problems and only later found application in other disciplines; other mathematical results were inspired by the needs of these other disciplines. The two facets of mathematics -- tool of science and subject of inquiry for its own sake -- have come to be interwoven into a complex fabric.

Major Requirements

69 credits

Core (33 credits): MATH 124, MATH 125, MATH 126, MATH 307, MATH 308 (or MATH 134, MATH 135, MATH 136); MATH 300; MATH 324; MATH 327; MATH 328
Advanced Mathematics (18 credits): At least six courses from the following, either in two three-quarter sequences or three two-quarter sequences, with at least one sequence from items a. through d.

Modern Algebra: MATH 402, MATH 403, MATH 404
Concepts of Analysis: MATH 424, MATH 425, MATH 426
Complex Analysis: MATH 427, MATH 428
Topology & Geometry: MATH 441, MATH 442, MATH 443
Optimization: MATH 407, MATH 408, MATH 409
Combinatorics: MATH 461, MATH 462
Numerical Analysis: MATH 464, MATH 465
Probability: MATH 491, MATH 492

Proficiency in items a. and b. is generally expected for graduate study in mathematics. In addition, items c. and d. are recommended for PhD programs in pure mathematics. Alternative combinations may be preferred for graduate study in other areas of the mathematical sciences and for industry careers. Consult Mathematics Student Services for more information.

• Electives (18 credits): Six additional mathematics courses at the 300- or 400-level, excluding MATH 398, MATH 399, MATH 411, MATH 412, MATH 444, MATH 445, MATH 497, MATH 498, MATH 499. No more than two courses numbered MATH 380 or MATH 480 may be counted. With approval, two of the six courses may be chosen from appropriate courses offered by other departments. Courses from the Advanced Mathematics core sequences not used to fulfill that requirement may be used to fulfill the elective requirement.
• Minimum 2.0 grade in all courses presented to satisfy mathematics major requirements. Minimum 2.50 cumulative GPA in all mathematics courses at the University, including course repeats.
• Minimum 18 credits of graded mathematics courses numbered 300 or higher taken in residence through the UW Seattle campus.