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:

      Projections and components
      Worked problems

Learning module LM 12.4: Cross products:

      Areas in the plane
      Computing cross products

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

Chapter 12: Vectors and the Geometry of Space