Unit 1: Multiple Integrals

Unit 2: Partial Derivatives

Unit 3: Vectors

Unit 4: Gradient

• §1. Optimization
• §2. Second Derivative Test
• §3. Lagrange Multipliers
• §4. Lagrange Multipliers Revisited
• §5. Curves
• §6. Motion in Space
• §7. Arc Length
• §8. Curvature
• §9. Change of Variables