Multivariable Calculus

Course Outline

• Chapter 13

  1. Vectors in the plane
  2. Vectors in three dimensions
  3. Dot Product
  4. Cross Product
  6. Planes and Surfaces

• Chapter 14

  1. Lines and Curves in 3D Space
  2. Calculus of Vectored Values Functions
  3. Motion in Space
  4. Lengths of Curves
  5. Curvature and Normal Vectors

• Chapter 15

  1. Graphs and Level Curves Part 1 & Part 2
  2. Limits and Continuity
  3. Partial Derivatives
  4. The Chain Rule
  5. Directional Derivatives and The Gradient
  6. Tangent Planes
  7. Max and Min Problems & Absolute Min & Max

• Chapter 16

  1. Double Integrals over Rectangular Regions
  2. Double Integrals over General Regions
  3. Double Integrals in Polar Coordinates
  4. Triple Integrals
  5. Triple Integrals in Spherical Coordinates
  7. Change of Variables

• Chapter 17

  1. Vector Fields
  2. Line Integrals
     1. Line Integrals of Vector Fields
     2. Circulation
     3. Flux
  3. Conservative Vector Fields
  4. Greene's Theorem
  5. Divergence and Curl
  6. Surface Integrals
  7. Stokes' Theorem
  8. Divergence Theorem

Resources

Examples

• 13.1
  • Part 1
  • Part 2
  • Part 3

OSU Class Info

• Syllabus
• Calendar

Open Course Ware

• MIT OCW
• CMU
• Caltech
• UIUC

Other Resources

• Review Cards From Discord
• Exam 3 Equation Sheet
• Exam 3 Review
• Final Equation Sheet
• Final Exam Review

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