Dr. Sarah's Differential Geometry Tentative Calendar Page - Spring 2022

The best way to contact me outside of class 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
  • 5530 Syllabus and Grading Policies
  • What is Due When?
    Date ▢ work is due at the beginning of class
    29 Apr - Fri final project 2-4:30 during our assigned time at finals

    27 Apr - Wed ▢ prepare to share final project idea or title during class and complete any items that remain open
    class: share final project idea or title during class
    25 Apr - Mon ▢ anonymous course survey
    ▢ course evaluations are likely due by reading day
    class: during class, work on the final project or optional revisions. I'll be there to help, but you can work from elsewhere if you prefer.

    20 Apr - Wed ▢ general relativity and the field equations interactive video slides   interactions
    ▢ read relativity article
    class: relativity and concluding activities
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    18 Apr - Mon ▢ Project 3: research, investigate and present a metric form
    (optional) Wormholes.mw
    class: presentations

    13 Apr - Wed ▢ begin final project
    class: during class, work on project 3 or the final project. I'll be there to help, but you can work from elsewhere if you prefer.
    11 Apr - Mon ▢ read pp. 416-430
    ▢ wormhole metric and relativity interactive video slides   Maple   interactions
    class: curvatures and Christoffel symbols of modified Brenton universe and final project recording ideas

    6 Apr - Wed ▢ read How to Create Your Own Universe in Three Easy Steps by Lawrence Brenton
    ▢ Minkowski spacetime and Christoffel computations interactive video slides   interactions
    ▢ choice of metric form for project 3
    class: spacetime and metric form research
    4 Apr - Mon ▢ read pp. 397-416
    ▢ geodesic equations, tensors, and spacetime interactive video slides   Maple   interactions
    class: M.C. Escher Regular Division of the Plane VI (1957),   curvatures and Christoffel symbols of the Poincare upper-half plane surface

    30 Mar - Wed ▢ prepare for the in-class surfaces assessment and complete any items that remain open
    class: surfaces assessment
    28 Mar - Mon ▢ read pp. 226-top of 230
    ▢ surfaces not embedded interactive video slides   Maple   interactions
    ▢ begin surfaces assessment guide
    class: surfaces not embedded and preparing for in-class surfaces assessment, Daina Taimina

    23 Mar - Wed ▢ Project 2: research, investigate and present a surface, Maple, grad
    class: presentations
    21 Mar - Mon ▢ read pp. 275-277, 289-292
    ▢ Gauss-Bonnet interactive video slides  interactions
    ▢ re-engage curvature matching
    class: Gauss-Bonnet on a round donut

    16 Mar - Wed ▢ read p. 164
    ▢ surface area interactive video slides   Maple 1   Maple 2  interactions
    class: surface area and curvature matching activity
    14 Mar - Mon ▢ read pp. 88-91, 91-96, 107-108, 111-114, 123-124
    ▢ second fundamental form and Gauss's Theorema Egregium interactive video slides  interactions
    class: π-day, Gaussian and mean curvature, spherical pi

    2 Mar - Wed ▢ read pp. 83-87
    ▢ shape operator interactive video slides   Maple  interactions
    class: shape operator: mystery surface, round donut, and Catalan surface
    28 Feb - Mon ▢ read surfaces article
    ▢ first fundamental form interactive video slides   Maple  interactions
    ▢ choose surface for Project 2
    class: first fundamental form: flat and round donuts

    23 Feb - Wed ▢ read pp. 70-76, 212
    ▢ speed of a geodesic interactive video slides   Maple  interactions
    class: holey donuts
    21 Feb - Mon ▢ read pp. 67-68, 77-82, 209
    ▢ coordinates and geodesic curvature interactive video slides   Maple  interactions
    class: sphere and spherical coordinates, Maple

    16 Feb - Wed ▢ surfaces, geodesics and coverings interactive video slides   Maple  interactions
    ▢ read pp. 247-250
    class: geodesics on cones
    14 Feb - Mon ▢ prepare for the in-class curves assessment and complete any items that remain open
    class: curves assessment

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

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

    26 Jan - Wed ▢ read 1.3 pp. 17-19
    ▢ TNB 1 interactive video slides   Maple  interactions
    ▢ choice of curve for project 1
    ▢ graduate students: begin working on the additional graduate problems
    class: curve of Archytas, cycloid, helical spiral,   Maple
    24 Jan - Mon ▢ read 1.2 pp. 14-17
    ▢ arc length, tangent, and physical attributes interactive video slides   Maple  interactions
    ▢ practice submitting PDF of by-hand and Maple work
    class: arc length, T, velocity, speed, acceleration, jerk, project 1 Maple

    19 Jan - Wed ▢ read 1.1 pp. 8-14
    ▢ 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
    class: comparing and contrasting curves, project 1 Maple

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