Lecture Notes
- 08-19-25 12.1 3D Coordinate System
- 08-20-25 12.2 Vectors
- 08-22-25 12.2 Vector Space
- 08-25-25 12.3 Dot Product
- 08-26-25 12.4 Cross Product
- 08-27-25 12.4 Determinants
- 08-29-25 12.5 Lines and Planes
- 09-02-25 12.5 Distance to Plane
- 09-03-25 13.1 Vector Functions
- 09-05-25 13.2 Vector Function Calculus
- 09-08-25 13.3 Arc Length
- 09-09-25 13.3 Curvature
- 09-10-25 Test 1 Review
- 09-15-25 14.1 Two-Dimensional Functions
- 09-16-25 14.1 Level Curves
- 09-17-25 14.2 Limits and Continuity
- 09-19-25 14.3 Partial Derivatives
- 09-22-25 14.3 Higher-Order Partial Derivatives
- 09-23-25 14.4 Tangent Planes
- 09-24-25 14.4 Linearization
- 09-26-25 14.5 Chain Rule
- 09-29-25 14.5 Implicit Differentiation
- 09-30-25 14.6 Directional Derivative
- 10-01-25 14.6 Gradient Vector
- 10-03-25 14.7 Local Extrema
- 10-08-25 Test 2 Review
- 10-13-25 14.7 Maxium and Minimum Values
- 10-14-25 15.1 Double Integrals over Rectangles
- 10-15-25 15.1 Double Integrals over Rectangles
- 10-17-25 15.2 Double Integrals over General Regions
- 10-20-25 15.3 Double Integrals in Polar Coordinates
- 10-21-25 15.3 Double Integrals in Polar Coordinates
- 10-22-25 15.4 Applications of Double Integrals
- 10-24-25 15.6 Triple Integrals
- 10-27-25 15.6 Triple Integrals
- 10-28-25 15.7 Triple Integrals in Cylindrical Coordinates
- 10-29-25 15.8 Triple Integrals in Spherical Coordinates
- 10-31-25 Change of Variables
- 11-03-25 Test 3 Review
- 11-07-25 15.9 Change of Variables
- 11-10-25 16.1 Vector Fields
- 11-11-25 16.2 Line Integrals
- 11-12-25 16.2 Line Integrals
- 11-14-25 16.3 The Fundamental Theorem for Line Integrals
- 11-17-25 16.3 The Fundamental Theorem for Line Integrals
- 11-18-25 16.4 Green’s Theorem
- 11-19-25 16.5 Curl and Divergence
- 11-21-25 16.6 Surface Areas
- 11-24-25 16.6 Surface Areas
- 11-25-25 16.7 Surface Integrals