MA 227 Calculus 3

Class Notes

  1. Sections 13.1 & 13.2: Vectors
  2. Section 13.3: Dot Products
  3. Section 13.4: Cross Products
  4. Section 13.5: Lines and Planes
  5. Section 13.6: Quadric Surfaces
  6. Section 14.1: Vector-Valued Functions
  7. Section 14.2: Derivative and Integral of Vector-Valued Functions
  8. Section 14.3: Motion in Space
  9. Section 14.4: Length of Curves
  10. Section 14.5: Curvature and Normal Vectors
  11. Section 15.1 & 15.2: Level Curves and Limits
  12. Section 15.3: Partial Derivatives
  13. Section 15.4: The Chain Rule
  14. Section 15.5: Directional Derivatives and Gradient
  15. Section 15.6: Tangent Planes
  16. Section 15.7: Optimization Problems
  17. Section 15.8: The Method of Lagrange Multipliers
  18. Section 16.1 & 16.2: Doube Integrals
  19. Section 16.3: Double Integrals in Polar Coordinates
  20. Section 16.4 & 16.5: Triple Integrals
  21. Section 16.7: Change of Variables
  22. Section 16.7 Worksheet 2
  23. Section 17.1: Vector Fields and Line Integrals

Work Sheets

  1. Worksheet 1
  2. Worksheet 2
  3. Worksheet 3
  4. Worksheet 4
  5. Worksheet 6
  6. Worksheet 7