Lecture Notes
- Lecture 1 – Vectors
- Lecture 2 – Functions
- Lecture 3 – Limits and Continuity
- Lecture 4 – Parametrized Curves
- Lecture 5 – The Tangent Map
- Lecture 6 – Derivatives and Acceleration
- Lecture 7 – Arc Length
- Lecture 8 – Natural Parametrizations
- Lecture 9 – Some Geometry
- Lecture 10 – Continuity and Limits
- Lecture 11 – Directional Derivatives
- Lecture 12 – Best Affine Approximations
- Lecture 13 – Differentiablity
- Lecture 14 – The Chain Rule
- Lecture 15 – Global and Local Extrema
- Lecture 16 – Second-order Approximations
- Lecture 17 – Quadratic Forms
- Lecture 18 – The Second Derivative Test
- Lecture 19 – Global Extrema
- Lecture 20 – Constrained Extrema
- Lecture 21 – Double Integrals
- Lecture 22 – Iterated Integrals
- Lecture 23 – Triple Iterated Integrals
- Lecture 24 – Change of Variables: An Example
- Lecture 25 – Change of Variables
- Lecture 26 – Cylindrical and Spherical Coordinates
- Lecture 27 – Work
- Lecture 28 – Line Integrals
- Lecture 29 – Green’s Theorem on Rectangles
- Lecture 30 – Green’s Theorem
- Lecture 31 – Potentials