MATH 4540

MATH 4540

Course information provided by the Courses of Study 2024-2025.

Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also touch upon the higher-dimensional generalizations, Riemannian manifolds, which underlie the study of general relativity.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: a semester of linear algebra (MATH 2210, MATH 2230, MATH 2310, or MATH 2940) and a semester of multivariable calculus (MATH 2220, MATH 2240, or MATH 1920), or equivalent.

Distribution Category (SMR-AS) (MQL-AG, OPHLS-AG)

Comments Students will be expected to be comfortable writing proofs. More experience with proofs may be gained by first taking a 3000-level MATH course.

View Enrollment Information

Syllabi: none
  •   Regular Academic Session.  Choose one lecture and one project.

  • 4 Credits Stdnt Opt

  •  3107 MATH 4540   LEC 001

    • TR
    • Jan 21 - May 6, 2025
    • Cao, X

  • Instruction Mode: In Person

  •  9370 MATH 4540   PRJ 601

    • TBA
    • Jan 21 - May 6, 2025
    • Cao, X

  • Instruction Mode: In Person