Author thumbnail

Brenda Edmonds

Calculus 3: Three-Dimensional Coordinate Systems, Vectors, and Surfaces

2,453 views
41 items
Last updated on Feb 4, 2020
public playlist
How to Succeed in Online Calculus 3
8:40
Intro to R^3
9:38
Points in R^3
12:07
Drawing Axes and Plotting Points in R^3
14:42
Planes in R^3
6:19
Equations of Spheres
9:01
Introduction to Vectors
9:08
Vector Basics
8:13
Scalar Multiplication of Vectors
8:59
Vector Addition
8:36
Vector Examples
12:33
Linear Combinations of Vectors
9:09
Intro to Dot Product - Geometric Definition and Interpretation
8:05
Intro to Dot Product - Algebraic Definition, Interpretation, and Examples
9:37
Component and Projection of One Vector Onto Another
11:14
Examples of Component and Projection of One Vector onto Another
11:03
Writing a Vector F as the Sum of One Vector along v and One Vector Orthogonal to v
9:46
Intro to Cross Products - Geometric Definition and Interpretation
9:18
Calculating Cross Products
12:50
Example: Finding Values to Make Vectors Parallel or Perpendicular
5:44
Equations of Lines in R^3
9:05
Equations of Planes in R^3
7:29
Writing and Interpreting Equations of Planes: Example 1
7:06
Writing Equations of Planes: Example 2
7:47
Points, Lines, and Planes Examples: Finding Intersections
9:13
Points, Lines and Planes Examples: Finding Whether Lines Intersect
13:06
Intersection of Two Planes Example
15:26
Points, Lines and Planes Examples: Distance from a Point to a Line
9:39
Points, Lines and Planes Examples: Distance Between Two Planes
10:19
How to Think about Graphing Surfaces
10:47
3-D Surface Graph 1
6:51
3-D Surface Graph 2
4:55
3-D Surface Graph 3
10:47
3-D Surface Graph 4
3:20
3-D Surface Graph 5
2:23
3-D Surface Graph 6
2:49
3-D Surface Graph 7
13:13
3-D Surface Graph 8
12:36
3-D Surface Graph 9
11:53
3-D Surface Graph 10
12:35
Using CalcPlot3D to Graph Surfaces
9:14