Dr. Sarah's Math 4140/5531 Differential Geometry Tentative Calendar - Spring 2020

The best way to contact me outside of class is during office hours or on the ASULearn need help from me Forum, which is private, as I usually check the posts daily, even on weekends.
  • Office Hours this week Effective March 24th (and internet allowing) I'm initiating targeted (optional) Zoom office hours during your regular class time. Zoom on Monday at 8pm will remain an open Zoom for all my classes at once. We will be using a flipped asynchronous model, which I am working on.
  • 4140 Syllabus and Grading Policies
  • 5531 Syllabus and Grading Policies
    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.
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    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