M408M Learning Module Pages
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Chapter 10: Parametric Equations and Polar
Coordinates
Chapter 12: Vectors and the Geometry of Space
Learning module LM 12.1: 3-dimensional rectangular coordinates:
Rectangular coordinates in $3$-space
Rectangular coordinates in $3$-space p2
Terminology and notation
Learning module LM 12.2: Vectors:
Vectors in 2 dimensions
Vectors in 2 dimensions p2
Components and combinations
On to 3 dimensions
Learning module LM 12.3: Dot products:
Definitions
Properties
Projections and components
Worked problems
Learning module LM 12.4: Cross products:
Areas in the plane
Definition
Computing cross products
Applications
Learning module LM 12.5: Lines and Planes:
Equations of a line
Equations of planes
Finding the normal to a plane
Distances to lines and planes
Learning module LM 12.6: Surfaces:
Surfaces and traces
Level curves
Level surfaces
Worked problems
Chapter 13: Vector Functions
Chapter 14: Partial Derivatives
Chapter 15: Multiple Integrals
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Chapter 12: Vectors and the Geometry of Space
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