| DUE Date |
Dates are subject to change and additional homework will fill in what is listed. DUE at the beginning of class. |
| 5 May - Tues | ▢ Final Project Presentations our assigned time 11-1:30. Mandatory to pass the class. |
| __________ | ________________________________________________________________________ |
| __________ | ________________________________________________________________________ |
| 30 Apr - Thur | ▢ exam corrections |
| 28 Apr - Tues |
▢ Read "Relativity" by David Brink. Encylopedia of Mathematics and Society, pp. 853-855
▢ fill out evaluations and work on exam corrections and the final project |
| 23 Apr - Thur |
▢ Homework 7: Research and Investigate a Metric Form
▢ submit hw 7 as a single pdf on the ASULearn link for it ▢ think-pair-share forum activity for #8 from hw 7 ▢ interactive video on general relativity |
| 21 Apr - Tues | ▢ Read p. 401-420 in
8.3, 8.4, and 8.5 on Covariant Derivative, Christoffel Symbols, and Curvatures
▢ interactive video on the wormhole metric and relativity Wormholes.mw |
| 16 Apr - Thur | ▢ Read "How to Create Your Own Universe in Three Easy Steps"
by Lawrence Brenton. Math Horizons April 2011, pp. 5-9
▢ interactive video on Minkowski spacetime and Christoffel computations ▢ Use the ASULearn choice selection feature to choose a metric for Homework 7 (first come, first served). |
| 14 Apr - Tues | ▢ Read p. 397-401 8.1 and 8.2 on Manifolds
▢ interactive video on geodesic equations, tensors, and spacetime conetorusgeos.mw |
| 9 Apr - Thur |
▢ Exam 2 on Surfaces study guide
▢ ASULearn complete any items in this segment |
| 7 April - Tues | ▢ Read 5.4 (p. 226-235), p. 215-219 and 223 in 5.2, and look at comments on Homework 6
▢ interactive video on surfaces not embedded |
| 2 Apr - Thur |
▢ Homework 6: Research, Investigate and Present a Surface
curvature2.mw gcandmchw.mw
▢ submit hw 6 as a single pdf on the ASULearn link for it ▢ look at solutions to Homework 5 ▢ think-pair-share forum activity for #18 from hw 6 ▢ matching activity |
| 31 Mar - Tues | ▢
Read p. 123-124 in 3.4, 6.1 (p. 275-277), and 6.6 (p. 289-292).
▢ Use the ASULearn choice selection feature to choose a surface for Homework 6 (first come, first served). ▢ interactive video on Gauss Bonnet higherdimcurvatures.mw |
| 26 Mar - Thur | ▢
Read p. 81-86 in 2.2, p. 88-91 in 2.3, 2.4 (91-96), p. 107-108 in 3.1, and p. 111-114 in 3.2
▢ interactive video on surface area strakel.mw firstfundformsa.mw |
| 24 Mar - Tues |
▢ Homework 5: Flat Donuts and Round Donuts
curvature2.mw firstfundformhw.mw
▢ submit hw 5 as a single pdf on the ASULearn link for it ▢ interactive video on Gauss' Theorem Egregium |
| 5 Mar - Thur | ▢ Read p. 77-80 in 2.2 and 5.1 (209-215) and look at solutions to Homework 4
class: sphere, catenoid, helicoid, saddle, Enneper's surface: 1st fund form curvature2.mw firstfundformhw.mw firstfundform.mw |
| 3 Mar - Tues | ▢ Read 2.1 (67-77) and begin working on Homework 5
class: cone and plane: 1st fund form coneandplaneforms.mw |
| 27 Feb - Thur |
▢ Homework 4: Intrinsic Geometry of Cones
class: cone & plane curvature2.mw |
| 25 Feb - Tues |
▢ Read p. 236-237 (E, F, G are for first fundamental form, which we will investigate later)
▢ Read the ASULearn reading on isometric spaces and coordinate patches. Continue working on Homework 4. class: geodesic speed, cylinder computations, sphere curvature2cylinder.mw |
| 20 Feb - Thur | ▢
Read the Surfaces reading on ASULearn. Look up pictures of any surfaces mentioned there that you are not familar with
▢ Read p. 247-250, p. 209, and 1.6 beginning on p. 38. Don't worry about the Maple code. Begin Homework 4. class: cylinder & cone coverings and coords rolling a geodesic in Maple curvature2.mw |
| 18 Feb - Tues | ▢
Open your eyes to surfaces in our world. Find, either in person or in a picture, a surface which interests you and be prepared to share where it arises and what significance it has. Begin working on homework for Thursday.
class: surfaces intro surfaces glossary |
| 13 Feb - Thur |
▢ Exam 1 on Curves study guide
▢ ASULearn complete any items in this segment, including skim through solutions to Homework 3 |
| 11 Feb - Tues |
▢ Find as many people as you can related to the creation of the Frenet formulas and the years of their contributions, including Bartels, Darboux, Frenet, Pagani, and Serret and study for exam 1 on ASULearn.
Write down any questions you have and bring the curves glossary with you.
class: isoperimetric inequality, study guide |
| 6 Feb - Thur |
▢ Homework 3: More Curves homework3maple.mw
class: curve applications part 3 |
| 4 Feb - Tues |
▢ Read p. 34-35 in 1.5 from the book and skim through
solutions to Homework 2 on ASULearn and begin working on Homework 3.
class: curve applications part 2 strakeintro.mw |
| 30 Jan - Thur | ▢ Read 1.2 and 1.3 in the book and How Flies Fly: Kappatau Space Curves by Rudy Rucker on ASULearn
class: TNB part 3, TNB3.mw, matching activity |
| 28 Jan - Tues |
▢ Homework 2: Curves homework2maple.mw
▢ Skim through homework 1 solutions on ASULearn, including the plots. class: TNB part 2, lemniscatemaple.mw curve applications part 1 |
| 23 Jan - Thur |
▢ Read section 1.1 in the book and write down any questions you have. The textbook is available at the bookstore:
Differential Geometry and Its Applications by John Oprea, MAA 2007 edition [The one with "The Bat" surface on the cover], ISBN: 978-0883857489.
The e-book 9781614446088 is
available through the library.
t-shirt Thur. Begin working on homework 2 under Tuesday's due date. class: Frenet Frame intro |
| 21 Jan - Tues |
▢ Homework 1: Review
class: arc length and unit tangent, tractrixmaple2.mw, curves glossary |
| 16 Jan - Thur |
▢ Read the Curves reading on ASULearn
▢ Send me a posting in the private need help from me forum on ASULearn: what you would like to be called (your nickname / first name); your phone number; your major; any additional academic concentrations/minors; what you might like to do as a career; your non-academic interests and hobbies; anything that I should know about you so that I can best meet your needs as a student/understand you better. ▢ On ASULearn add a profile picture (click on your name, Edit Profile) so that it is easier to get to know each other. ▢ I am away at a conference today so complete and submit the interactive video on ASULearn. Then get acclimated with the course: Google Dr. Sarah, click on my page, and click on the 4140 link to get to this page and the syllabus. review and tractrix, tractrixmaple.mw |
| 14 Jan - Tues | First day of class: class overview and curves and lines intro, review, TNBintro.mw, engagement |
