MA
26100 Spring 2023
Video Lectures and Lecture Notes (links
will be activated when available)
Monday, 1/9--Course
Introduction: Slides
Monday, 1/9--Lesson 1 (13.1-13.4:
Review of Vectors): Video,
Notes
Wednesday, 1/11--Lesson 2 (13.5: Lines and Planes
in Space): Video,
Notes
Friday, 1/13--Lesson 3 (13.6: Quadric
Surfaces, part 1): Video,
Notes
Monday, 1/16--No class (MLK Day)
Wednesday, 1/18--Lesson 4
(13.6: Quadric Surfaces,
part 2): Video,
Notes
Friday, 1/20--Lesson 5 (14.1:
Vector-Valued
Functions): Video,
Notes
Monday, 1/23--Lesson 6 (14.2, 14.3 part 1:
Calculus of Vectored-Valued
Functions, Motion in Space): Video,
Notes
Wednesday, 1/25--Lesson 7 (14.3 part 2: Motion in
Space): Video,
Notes
Friday, 1/27--Lesson 8 (14.4: Length of Curves and 14.5:
Curvature): Video,
Notes
Monday, 1/30--Lesson 9 (15.1: Functions of Several
Variables): Video,
Notes
Wednesday, 2/1--Lesson 10 (15.2: Limits and Continuity): Video,
Notes
Friday, 2/3--Lesson 11 (15.3: Partial Derivatives): Video,
Notes
Monday, 2/6--Lesson 12 (15.4: The Chain Rule): Video,
Notes
Wednesday, 2/8--Lesson 13 (15.5: Directional
Derivative and the
Gradient): Video,
Notes
Friday, 2/10--Lesson 14 (15.6: Tangent
Plane and Linear
Approximation): Video,
Notes
Monday, 2/13--Exam 1 Review: Video,
Notes
Wednesday, 2/15--Lesson
15 (15.7 part 1: Maximum and Minimum Problems
): Video,
Notes (optional:
more on the second derivative test)
Friday, 2/17--Lesson
16 (15.7 part 2: Maximum and Minimum Problems
): Video,
Notes
Monday, 2/20--Lesson
17 (15.8: Lagrange Multipliers): Video,
Notes
Wednesday, 2/22--Lesson 18 (16.1:
Double Integrals over Rectangular
Regions): Video,
Notes
Friday, 2/24--Lesson 19 (16.2: Double Integrals
over General
Regions): Video,
Notes
Monday, 2/27--Lesson 20 (16.3: Double Integrals
in Polar
Coordinates): Video,
Notes
Wednesday, 3/1--Lesson 21 (16.4: Triple
Integrals): Video,
Notes
Friday, 3/3--Lesson 22 (16.5: Cylindrical
Coordinates): Video,
Notes
Monday, 3/6--Lesson 23 (16.5: Spherical
Coordinates): Video,
Notes
Wednesday, 3/8--Lesson 24 (16.6:
Integrals in Mass
Calculations): Video,
Notes
Friday, 3/10--No class (compensation for evening
exam 1)
Monday, 3/20--Lesson 25 (17.1: Vector
Fields): Video,
Notes
Wednesday, 3/22--Exam 2 Review: Video,
Notes
Friday, 3/24--Lesson 26 (17.2 part 1: Line
Integrals of Functions): Video,
Notes
Monday, 3/27--Lesson 27 (17.2 part 2: Line Integrals of Vector
Fields): Video,
Notes
Wednesday, 3/29--Lesson 28 (17.3: Conservative Vector Fields and the
Fundamental Theorem of Line Integrals): Video,
Notes (3D
potential function
example)
Friday, 3/31--Lesson 29 (17.4: Green's Theorem): Video,
Notes
Monday, 4/3--Lesson 30
(17.5: Curl and
Divergence): Video,
Notes
Wednesday, 4/5--Lesson
31 (17.6 part 1: Surface Integrals): Video,
Notes
Friday, 4/7--Lesson
32 (17.6 part 2: Surface Integrals):
Video,
Notes
Monday, 4/10--Lesson 33 (17.6 part 3: Surface
Integrals): Video,
Notes
Wednesday, 4/12--Lesson 34 (17.7 part 1: Stokes'
Theorem): Video,
Notes
Friday, 4/14--Lesson 35 (17.7 part 2:
Stokes' Theorem): Video,
Notes
Monday, 4/17--Lesson 36
(17.8 part 1: Divergence Theorem): Video,
Notes
Wednesday, 4/19--Lesson 37 (17.8 part
2: Divergence
Theorem): Video,
Notes
Friday, 4/21--No class (compensation for evening
exam 2)
Monday, 4/24--Final
Exam Review, part 1: Video,
Notes
Wednesday, 4/26--Final Exam Review, part 2: Video,
Notes
Friday, 4/28--Final Exam Review, part 3: Video,
Notes