Math 251: Calculus III
Lecture Audio Recordings
Fall 2009
- Lecture 1 Sept 9. Coordinates.
- Lecture 2 Sept 11. Graphs, vectors.
- Lecture 3 Sept 14. Dot and cross product.
- Lecture 4 Sept 16. Lines and planes.
- Lecture 4 Sept 18. Intersections of lines and planes. Closest points.
- Lecture 6 Sept 21. Quadratic surfaces
- Lecture 7 Sept 23. Cylindrical and spherical coordinates
- Lecture 8 Sept 25. Derivatives of curves
- Lecture 9 Sept 28. Arc length and curvature
- Lecture 10 Sept 30. Normal and binormal vectors, velocity and acceleration
- Lecture 11 Oct 2. Acceleration, review for mid 1
- Lecture 12 Oct 7. Midterm 1, functions of several variables (level curves)
- Lecture 13 Oct 9 (Arman Kaveh). Limits continuity, and derivatives
- Lecture 14 Oct 14. Tangent planes, linear approximation
- Lecture 15 Oct 16. More tangent planes, Chain Rule
- Lecture 16 Oct 19 Part 1 , Part 2 . Directional derivative, gradient
- Lecture 17 Oct 21. Implicit gradient, local max & min, critical points
- Lecture 18 Oct 23. Second derivative test (oops - battery died!)
- Lecture 19 Oct 26. Lagrange multipliers (constraints)
- Lecture 20 Oct 28. Some max/min problems (examples)
- Lecture 21 Oct 30. Double integrals
- Lecture 22 Nov 2. Iterated integrals
- Lecture 23 Nov 4. Integrals in polar coordinates, review
- Lecture 24 Nov 6. Surface area
- Lecture 25 Nov 13. Triple integrals
- Lecture 26 Nov 16. Triple integrals: Spherical and cylindrical coordinates
- Lecture 27 Nov 18. Triple integrals - examples, change of variables
- Lecture 28 Nov 20. Change of variables
- Lecture 29 Nov 23. Vector fields
- Lecture 30 Nov 25. Line integrals
- Lecture 31 Nov 27. Path independence
- Lecture 32 Nov 30. Line integrals and conservative vactor fields, Green's Theorem
- Lecture 33 Dec 2. Green's Theorem