| 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 |
| 29 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 |
| 27 Apr - Mon | ▢ anonymous course survey
▢ course evaluations ▢ re-engage 14 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. |
| Geometry of Spacetime and Relativity | |
| 22 Apr - Wed | ▢ general relativity and the field equations interactive video slides interactions
▢ read relativity article class: relativity and concluding activities |
| 20 Apr - Mon | ▢ Project 3: Research, investigate and present a metric form
(optional) Christoffelandcurvatures_spacetimemetrics.mw ▢ re-engage 13 class: presentations |
| 15 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. |
| 13 Apr - Mon | ▢ read pp. 416-430
▢ spacetime metrics, Christoffel symbols and relativity interactive video slides Maple interactions ▢ re-engage 12 class: curvatures and Christoffel symbols of modified Brenton universe and final project recording ideas |
| 8 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 |
| 6 Apr - Mon | ▢ read pp. 397-416
▢ geodesic equations, Christoffel symbols, 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 |
| Theory of Surfaces | |
| 1 Apr - Wed | ▢ prepare for the in-class surfaces assessment and complete any items that remain open
▢ re-engage 11 class: surfaces assessment |
| 30 Mar - Mon | ▢ read pp. 226-235
▢ surfaces not embedded interactive video slides Maple interactions ▢ begin surfaces assessment guide ▢ re-engage 10 class: surfaces not embedded and preparing for in-class surfaces assessment, Daina Taimina |
| 25 Mar - Wed | ▢ Project 2: research, investigate and present a surface, Maple
class: presentations |
| 23 Mar - Mon | ▢ read pp. 275-277, 289-292
▢ Gauss-Bonnet interactive video slides interactions ▢ re-engage 9 class: Gauss-Bonnet on a round donut |
| 18 Mar - Wed | ▢ read p. 164
▢ surface area interactive video slides Maple 1 Maple 2 interactions class: surface area and curvature matching activity |
| 16 Mar - Mon | ▢ read pp. 88-91, 91-96, 107-108, 111-114, 123-124
▢ second fundamental form, K, H and Gauss's Theorema Egregium interactive video slides interactions ▢ re-engage 8 class: π-day, Gaussian and mean curvature, spherical pi |
| 4 Mar - Wed | ▢ read pp. 83-87
▢ shape operator interactive video slides Maple interactions class: shape operator: mystery surface, round donut, and Catalan surface |
| 2 Mar - Mon | ▢ read surfaces article
▢ first fundamental form interactive video slides Maple interactions ▢ choose surface for Project 2 ▢ re-engage 7 class: first fundamental form: flat and round donuts |
| 25 Feb - Wed | ▢ read pp. 70-76, 212
▢ speed of a geodesic, curvatures and classifications interactive video slides Maple interactions class: holey donuts |
| 23 Feb - Mon | ▢ read pp. 67-68, 77-82, 209
▢ coordinates, U, normal curvature and geodesic curvature interactive video slides Maple interactions ▢ re-engage 6 class: sphere and spherical coordinates, Maple |
| 18 Feb - Wed | ▢ surfaces, geodesics and coverings interactive video slides
Maple interactions
▢ read pp. 247-250 class: geodesics on cones cones |
| Geometry of Curves | |
| 16 Feb - Mon | ▢ prepare for the in-class curves assessment and complete any items that remain open
▢ re-engage 5 class: curves assessment |
| 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 |
