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.

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course_MATH_2040 cluster_equiv_1 cluster_equiv_2 cluster_equiv_3 MATH 2040 MATH 2040 MATH 1232 MATH 1232 C or better MATH 1232->MATH 2040 MATH 1220 MATH 1220 C or better MATH 1700 MATH 1700 B or better MATH 1700->MATH 1232 or MATH 1710 MATH 1710 B or better MATH 1710->MATH 1700 or MATH 1701 MATH 1701 B or better MATH 1701->MATH 1710 or MATH 1220->MATH 2040 MATH 2150 MATH 2150 MATH 1300 MATH 1300 B or better MATH 1300->MATH 1220 or MATH 1301 MATH 1301 B or better MATH 1301->MATH 1300 or MATH 2150->MATH 2040 coreq MATH 2720 MATH 2720 MATH 2720->MATH 2150 or MATH 2151 MATH 2151 MATH 2151->MATH 2720 or MATH 2721 MATH 2721 MATH 2721->MATH 2151 or

Winter 2020 sections

Lecture section

  • A01
    Instructor: Siddarth Sankaran
    CRN: 55750
    Lecture Location: TBA
    Dates: January 06 – April 07
    Time: 10:30–11:20, M.W.F.

Lab sections

  • B01
    CRN: 55751
    Tutorial Location: TBA
    Dates: January 06 – April 07
    Time: 15:30–16:20, W.
  • B02
    CRN: 55752
    Tutorial Location: TBA
    Dates: January 06 – April 07
    Time: 16:30–17:20, W.