MATH 251 - Calculus III - Online Lectures Back to Main Page
Monday, January 18 MLK Day
Wednesday, January 20 Introduction: I will send a Zoom invation to the class. Pre-test due Wednesday, January 27. 10.1 Notes. 10.1 Video. Review of Completing the Square (external links): 1 2 3
Thurssday, January 21 10.2 Notes. 10.2 Video.
Friday, January 22 10.3 Notes. 10.3 Video. Review of Law of Cosines (external link)
Monday, January 25 Review of Determinants: Notes. Review of Determinants: Video. 10.4 Notes. 10.4 Video. Extra Practice Problems (Just for fun, but highly recommended.) Optional reading: Cross Product Parallelogram Theorem
Wednesday, January 27 10.5 Notes. 10.5 Video.
Thursday, January 28 I will be using this website: https://www.geogebra.org/3d?lang=en 10.6 Notes. 10.6 Video. Optional Reading: Lithotripsy - A Medical Application of the Ellipsoid (External Link)
Friday, January 29 Quiz 1 covers 10.1 to 10.4. Zoom invite just before class at 11 am. Show me that you do not have any notes etc. Then I will send Quiz 1 by email. Do not use your cell phone while taking it. Photograph or scan your quiz. Upload it into D2L by noon. There may be more than one version of the quiz.
Monday, February 1 10.7 Notes. 10.7 Video Part A. 10.7 Video Part B. Optional Reading: Intro to Maple - a Compter Algebra System. See: https://www.maplesoft.com/ Option Reading: Examples Using Maxima, a free CAS. See: http://maxima.sourceforge.net/ Other CAS are Mathematica and MATLAB.
Wednesday, February 3 10.8 Notes. 10.8 Video, Part 1. Optional Reading: On the Definition of Curvature
Thursday, February 4 10.8 Video, Part 2. Figure for last example Animation of Osculating Circle of an Ellipse
Friday, February 5 Quiz 2 covers 10.4 to 10.8.
Monday, February 8 10.9 Notes. 10.9 Video. Optional Reading: Frenet-Serret formulas and Torsion Optional Reading: Dream Job: Roller Coaster Designer (External Link)
Wednesday, February 10 I will be using this website: https://www.geogebra.org/3d?lang=en 11.1 Notes. 11.1 Video.
Thursday, February 11 Test 1: Chapter 10, Part 1 Practice Test A Answers Practice Test B Answers Tests will be proctored via Zoom.
Friday, February 12 Test 1: Chapter 10, Part 2
Monday, February 15 11.2 Notes. 11.2 Video. 11.3 Notes. (#59 is really #63.) 11.3 Video. Extra Practice Partial Derivative Problems (Answers on second page.)
Wednesday, February 17 11.4 Notes. 11.4 Video. Supplimental: Video. Image. Notes.
Thursday, February 18 11.5 Notes. 11.5 Video part 1. 11.5 Video part 2.
Friday, February 19 Quiz 3 is on 11.1, 11.2 and 11.3.
Monday, February 22 11.5 Video part 3. 11.6 Notes. 11.6 Video.
Wednesday, February 24 11.7 Notes. 11.7 Video, Part 1. 11.7 Video, part 2 - extra examples. Quadratic Surface Animation. Plots for last example. Optional reading: The Second Derivative Test for n variables, by Brian D. Sittinger. (External Link)
Thursday, February 25 Review: Two Tangent Plane Examples Video Image 1 Image 2 Review: Directional Derivative and Limit Examples Image 1 Image 2 11.8 Notes. 11.8 Video.
Friday, February 26 Quiz 4 will cover 11.4, 11.5 & 11.6.
Monday, March 1 12.1 & 12.2 Notes. 12.1 & 12.2 Video. Extra Example: Double Integral Done by Computer.
Wednesday, March 3 Live Review for Test 2 via Zoom.
Thursday, March 4 Chapter 11 Test, Part 1 Practice Test A Answers Practice Test B Answers
Friday, March 5 Chapter 11 Test, Part 2
Monday, March 8 12.3 Notes. 12.3 Video. Optional: Polar Animations - Just For Fun!
Wednesday, March 10 12.4 Notes. 12.4 Video 1 12.4 Video 2 12.4 Video 3 (optional extra examples) Optional Reading: Law of the Lever Optional Reading: Visual Pattern Recognition by Moment Invariants, Ming-Kuei Hu, IRE Transactions on Information Theory, Volume: 8, Issue: 2, 1962. (External Link)
Thursday, March 11 12.5 Notes. (For two lectures.) 12.5 Video a.
Friday, March 12 Quiz 5 covers 12.1-12.4
Monday, March 15 12.5 Video b.
Wednesday, March 17 12.6 Notes. 12.6 Video.
Thursday, March 18 12.7 Notes. (Covers two lectures) 12.7 Video. (Study first two examples today. Study the remaining on Monday.)
Friday, March 19 Quiz 6 covers 12.5 and 12.6
Monday, March 22 See latter part of video from Thursday. 12.8 Notes (optional lecture)
Wednesday, March 24 Review for Test.
Thursday, March 25 Chapter 12 Test: Part 1 Practice Problems for Chapter 12 Test
Friday, March 26 Chapter 12 Test: Part 2
Monday, March 29 13.1 Notes. 13.1 Video. Vector Field Examples with Maple Escher Stairs
Wednesday, March 31 13.2 Notes. (Covers two lectures.) Video 1 for 13.2.
Thursday, April 1 Video 2 for 13.2.
Friday, April 2 Quiz 7 covers 13.1 & 13.2
Monday, April 5 13.3 Notes. 13.3 Video.
Wednesday, April 7 13.4 Notes. 13.4 Video 1 13.4 Video 2
Thursday, April 8 13.6 Notes. (We will come back to 13.5) 13.6 Video 1 13.6 Video 2
Friday, April 9 Quiz 8 will cover 13.2, 13.3 & 13.4.
Monday, April 12 13.6 Video 3
Wednesday, April 14 13.7 Notes. 13.7 Video.
Thursday, April 15 13.5 Notes. 13.5 Video.
Friday, April 16 Quiz 9 will cover 13.5-13.7.
Monday, April 19 13.8 Notes. 13.8 Video.
Wednesday, April 20 13.8 (Keep working on 13.8)
Thursday, April 21 13.8 (Keep working on 13.8)
Friday, April 22 Quiz 10 covers 13.8.
Monday, April 26 13.9 Notes. 13.9 Video. (I should have broken this up into two videos.)
Wednesday, April 28 Continue working on 13.9
Thursday, April 29 Extra Examples Practice Problems Chapter 13 Test: Part 1
Friday, April 30 Test 4: Chapter 13, Part 2
Final Exam: TBD
Future Reading!