MA
26100 Summer
2021
Video Lectures and Lecture Notes
(unless otherwise noted, all videos and notes here are "recycled" from Summer 2020, Fall 2020, or Spring 2021)
Monday,
6/14--Course
Introduction: Video, Slides
Monday, 6/14--Lesson 1 (13.1-13.4: Review of Vectors): Video, Notes
Tuesday, 6/15--Lesson 2 (13.5, 13.6 part 1: Lines, Planes, and Quadric
Surfaces): Video, Notes
Thursday, 6/17--Lesson 3 (13.6 part 2, 14.1 Quadric Surfaces,
Vector-Valued Functions): Video, Notes
Friday, 6/18--Lesson 4 (14.2, 14.3 part 1: Calculus of Vector-Valued
Functions, Motion in Space): Video, Notes
Monday, 6/21--Lesson 5 (14.3 part 2, 14.4, 14.5: Motion in Space,
Length of Curves, Curvature): Video, Notes
Tuesday, 6/22--Lesson 6 (15.1, 15.2: Functions of Several Variables,
Limits and Continuity): Video, Notes
Thursday, 6/24--Lesson 7 (15.3, 15.4: Partial Derivatives, Chain
Rule): Video, Notes
Friday, 6/25--Lesson 8 (15.5, 15.6: Directional Derivative and the
Gradient, Tangent Plane and Linear Approximation): Video, Notes
Monday, 6/28--Lesson 9 (15.7 both parts: Maximum and Minimum
Problems): Video, Notes
Monday, 6/28--Exam 1 Review: Video (new video), Notes
Tuesday, 6/29--Exam 1
Thursday, 7/1--Lesson 10 (15.8: Lagrange Multipliers): Video, Notes
Friday, 7/2--Lesson 11 (16.1: Double Integrals over Rectangular
Regions): Video, Notes
Monday, 7/5--No Class
Tuesday, 7/6--Lesson 12 (16.2: Double Integrals over General
Regions): Video, Notes
Thursday, 7/8--Lesson 13 (16.3: Double Integrals in Polar
Coordinates): Video, Notes
Friday, 7/9--Lesson 14 (16.4: Triple Integrals): Video, Notes
Monday, 7/12--Lesson 15 (16.5 both parts: Triple Integrals in
Cylindrical and Spherical Coordinates): Video, Notes
Tuesday, 7/13--Lesson 16 (16.6: Integrals in Mass Calculations, 17.1:
Vector Fields): Video, Notes
Thursday, 7/15--Lesson 17 (17.2 both parts: Line Integrals of Functions
and Vector Fields): Video, Notes
Friday, 7/16--Lesson 18 (17.3: Conservative Vector Fields and the
Fundamental Theorem of Line Integrals): Video, Notes
Friday, 7/16--Exam 2 Review: Video,
Notes
Monday, 7/19--Exam 2
Tuesday, 7/20--Lesson 19 (17.4: Green's Theorem, 17.5: Curl and
Divergence): Video,
Notes
Thursday, 7/22--Lesson 20 (17.6 part 1: Surface Integrals): Video,
Notes
Friday, 7/23--Lesson 21 (17.6 part 2: Surface Integrals): Video,
Notes
Monday, 7/26--Lesson 22 (17.6 part 3: Surface Integrals): Video,
Notes
Tuesday, 7/27--Lesson 23 (17.7 part 1: Stokes'
Theorem): Video,
Notes
Thursday, 7/29--Lesson 24 (17.7 part 2: Stokes'
Theorem): Video,
Notes
Friday, 7/30--Lesson 25 (17.8 part 1: The
Divergence Theorem): Video,
Notes
Monday, 8/2--Lesson 26 (17.8 part 2: The
Divergence Theorem): Video,
NotesTuesday, 8/3--Final Exam Review: Video,
Notes