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2b

Math 163: Calculus III

Winter 2023

Contents [Top]

Notes and Videos  [Top Contents]

Topic Blank workalong Completed workalong Lesson Videos Group Work
Introduction and Syllabus        

Chapter 12: Vectors and the Geometry of Space

12.1: 3D Coordinates (self-study)
12.2: Vectors
12.3: The Dot Product
12.4: The Cross Product
12.5: Equations of Lines and Planes
12.6: Graphing: Quadric Surfaces



12.1
12.2
12.3
12.4
12.5
12.6

12.1
12.2
12.3
12.4
12.5
12.6

12.1: video
12.2: video
12.3: video
12.4: video
12.5: video
12.6: video

12.1
12.2
12.3 - none
12.4
12.5
12.6

Chapter 10: Parametric Equations and Polar Coordinates

10.1: Graphing: Parametric Curves
10.2: Calculus with Parametric Curves
10.5: Conic Sections (self-study)

10.1
10.2
10.5

10.1
10.2
10.5

10.1: video
10.2: video
10.5: video

10.1
10.2

Chapter 13: Vector Functions

13.1: Graphing: Vector Functions and Space Curves
13.2: Derivatives and Integrals of Vector Functions
13.3: Arc Length and Curvature (my examples)
13.4: Motion in Space

13.1
13.2
13.3
13.4

13.1
13.2
13.3
13.4

13.1: video
13.2: video
13.3: video
13.4: video

13.1
13.2 - none
13.3
13.4

Chapter 11: Power Series

A somewhat historical introduction to Power Series

Workalong

My notes

Video 1 2 3
Video 4 5 6
Video 7 8 9

Section 1
Section 2
Section 3
Section 4
Section 5
Section 6
Section 7
Section 8

Chapter 14: Partial Derivatives

14.1: Functions of Several Variables (self-study)
14.3: Partial Derivatives
14.4: Tangent Planes and Linear Approximations
14.5: The Chain Rule
14.6: Directional Derivatives and the Gradient Vector

14.1
14.3
14.4
14.5
14.6

14.1
14.3
14.4
14.5
14.6

14.1: video
14.3: video
14.4: video
14.5: video
14.6: video

14.1
14.3
14.4
14.5
14.6

Chapter 15: Multiple Integrals

15.1: Double Integrals over Rectangles
15.2: Double Integrals over General Regions

15.1
15.2

15.1
15.2

15.1: video
15.2: video

15.1
15.2A and 15.2B