Date | ▢ work is due at the beginning of class |
Final Activities and Project | |
6 May - Mon |
▢ 2-4:30 is our
assigned time at finals
final project |
1 May - 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 |
29 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 | |
24 Apr - Wed | ▢ general relativity and the field equations interactive video slides interactions
▢ read relativity article class: relativity and concluding activities |
22 Apr - Mon | ▢ Project 3: research, investigate and present a metric form
(optional) Wormholes.mw ▢ re-engage 13 class: presentations |
17 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. |
15 Apr - Mon | ▢ read pp. 416-430
▢ wormhole metric and relativity interactive video slides Maple interactions ▢ re-engage 12 class: curvatures and Christoffel symbols of modified Brenton universe and final project recording ideas |
10 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 |
8 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 |
Theory of Surfaces | |
3 Apr - Wed | ▢ prepare for the in-class surfaces assessment and complete any items that remain open
▢ re-engage 11 class: surfaces assessment |
1 Apr - 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 |
27 Mar - Wed | ▢ Project 2: research, investigate and present a surface, Maple, graduate problems are on ASULearn
class: presentations |
25 Mar - Mon | ▢ read pp. 275-277, 289-292
▢ Gauss-Bonnet interactive video slides interactions ▢ re-engage 9 class: Gauss-Bonnet on a round donut |
20 Mar - Wed | ▢ read p. 164
▢ surface area interactive video slides Maple 1 Maple 2 interactions class: surface area and curvature matching activity |
18 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 ▢ re-engage 8 class: π-day, Gaussian and mean curvature, spherical pi |
6 Mar - Wed | ▢ read pp. 83-87
▢ shape operator interactive video slides Maple interactions class: shape operator: mystery surface, round donut, and Catalan surface |
4 Mar - Mon | ▢ read surfaces article
▢ first fundamental form interactive video slides Maple interactions ▢ choose surface for Project 2 ▢ re-engage 8 class: first fundamental form: flat and round donuts |
28 Feb - Wed | ▢ read pp. 70-76, 212
▢ speed of a geodesic interactive video slides Maple interactions class: holey donuts |
26 Feb - Mon | ▢ read pp. 67-68, 77-82, 209
▢ coordinates and geodesic curvature interactive video slides Maple interactions ▢ re-engage 6 class: sphere and spherical coordinates, Maple |
21 Feb - Wed | ▢ surfaces, geodesics and coverings interactive video slides
Maple interactions
▢ read pp. 247-250 class: geodesics on cones cones |
Geometry of Curves | |
19 Feb - Mon | ▢ prepare for the in-class curves assessment and complete any items that remain open
class: curves assessment |
14 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, slide |
12 Feb - Mon | ▢ Project 1: research, investigate and present a curve,
Maple, graduate problems are on ASULearn
▢ re-engage 4 class: presentations |
7 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 |
5 Feb - Mon | ▢ read How Flies Fly
▢ read 1.3 pp. 19-20 ▢ TNB 2 interactive video slides Maple interactions ▢ re-engage 3 class: Rucker, TNB frame, curves matching, and spherical epitrochoid, Maple, slides, |
31 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 |
29 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 ▢ re-engage 2 class: arc length, T, velocity, speed, acceleration, jerk, slides, project 1 Maple |
24 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 |
22 Jan Mon | ▢ course intro interative video slides 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 |
17 Jan - Wed | ▢ obtain rental book from the bookstore
class: in-class and between classes, 2130 review and handout (optional) Paul's Online Notes: Calc III |