Dr. Sarah's Differential Geometry (in-class items, video slides...) - Spring 2026

The best way to contact me is during office hours or on the ASULearn need help forum, as I usually check the posts daily, even on weekends.
  • 4140 Syllabus and Grading Policies
  • What is Due When?
    Date ▢ work is due at the beginning of class

    Final Activities and Project

    1 May - Fri ▢ 11-1:30 is our assigned time at finals


    Geometry of Spacetime and Relativity


    Theory of Surfaces


    Geometry of Curves

    11 Feb - Wed ▢ read 1.5 pp. 34-35
    ▢ curvature and torsion applications 2: helix and strake interactive video slides   Maple  interactions
    ▢ begin curves assessment guide
    class: strake, mystery curve and preparing for in-class curves assessment, slide
    9 Feb - Mon ▢ Project 1: research, investigate and present a curve, Maple
    ▢ re-engage 4
    class: presentations

    4 Feb - Wed ▢ read 1.3 pp. 21-25
    ▢ curvature and torsion applications 1 interactive video slides  interactions
    class: curvature, torsion, the Darboux vector and the fundamental theorem of space curves
    2 Feb - Mon ▢ read How Flies Fly
    ▢ read 1.3 pp. 19-20
    ▢ TNB 2: TNB derivatives interactive video slides   Maple  interactions
    ▢ re-engage 3
    class: Rucker, TNB frame, curves matching, and spherical epitrochoid,   Maple,   slides,

    28 Jan - Wed ▢ read 1.3 pp. 17-19
    ▢ TNB 1, kappa, tau, osculating circle and plane interactive video slides   Maple  interactions
    ▢ choice of curve for project 1
    class: curve of Archytas, cycloid, helical spiral,   Maple
    26 Jan - Mon ▢ read 1.2 pp. 14-17
    ▢ arc length, tangent, velocity, speed, acceleration, and jerk interactive video slides   Maple  interactions
    ▢ practice submitting PDF of by-hand and Maple work
    ▢ re-engage 2
    class: arc length, T, velocity, speed, acceleration, jerk,   slides,   project 1 Maple

    21 Jan - Wed ▢ read 1.1 pp. 8-14
    ▢ investigating the tractrix interactive video slides   Maple  interactions
    ▢ add ASULearn profile pic or avatar
    ▢ update Zoom and add a profile pic or avatar
    ▢ send me a posting in the need help forum
    ▢ read the syllabus
    ▢ re-engage 1
    class: comparing and contrasting curves,   Maple

    14 Jan Wed ▢ course intro interative video slides  interactions
    ▢ read curves article
    ▢ obtain rental book from the bookstore
    ▢ read 1.1 pp. 1-7
    ▢ download or access Maple and open the program
    ▢ differential geometry of lines and Maple intro interactive video slides   Maple  interactions
    class: curvature   slides  
    12 Jan - Mon class: in-class and between classes,   2130 review and handout
    (optional) Paul's Online Notes: Calc III