MATH 2040

Curves and Surfaces

(Lab required) Curves and surfaces in the plane and space. Intrinsic geometry of curves and surfaces: Serret Frenet frames, first and second fundamental forms, curvature and the Gauss map. ' Geodesics and parallel transport. Theorema Egregium and Gauss-Bonnet theorems.

Prerequisites: [MATH 1232 (C) or MATH 1690 (C) or MATH 1700 (B) or MATH 1701 (B) or MATH 1710 (B)] and [MATH 1220 (C) or MATH 1300 (B) or MATH 1301 (B)]; or consent of instructor. Pre-or corequisite: MATH 2150 or MATH 2151 or MATH 2720 or MATH 2721.

Winter 2018 sections

Lecture section

  • A01
    Instructor: Leo Butler
    CRN: 55750
    Lecture Location: 306 Buller
    Dates: January 03 – April 06
    Time: 10:30–11:20, M.W.F.
    Final Exam Date: Wednesday, April 18
    Time: 9:00 a.m.
    Duration: 180 minutes
    Location: 110 E2 EITC

Lab sections

  • B01
    Instructor: Serhii Dovhyi
    CRN: 55751
    Tutorial Location: 315 Machray Hall
    Dates: January 05 – April 06
    Time: 16:00–16:50, Th.
  • B02
    Instructor: Ievgen Bilokopytov
    CRN: 55752
    Tutorial Location: 316 Machray Hall
    Dates: January 05 – April 06
    Time: 16:00–16:50, Th.