Summer 2003

Mathematics Maths21a
Summer 2003

Multivariable Calculus

Course Head: Oliver knill
Office: SciCtr 434
Email: knill@math.harvard.edu

Errata posted here describe misprints on the in class distributed papers. The documents here are corrected.

1. Week: 1. Lecture coordinates 2. Lecture: vectors 3. Lecture: cross product	2. Week: 4. Lecture: lines planes 4. Lecture: distances 5. Lecture: contours 5. Lecture: functions 5. Lecture: ICE Contest 6. Lecture: surfaces 6. Lecture: spherical coordinates
3. Week: 7. Lecture: curves 7. Lecture: ICE knot 8. Lecture: arc length, curvature 8. Lecture: ICE thether	4. Week: 9. Lecture: partial derivatives 9. Lecture: PDE's 9. Lecture: Linear approximation in graphics 10. Lecture: critical points 11. Lecture: Lagrange method
5. Week: 12. Lecture: 2D integrals 12. Lecture: Rieman sum approximation 13. Lecture: Polar integrals 14. Lecture: Polar surface integrals 14. Lecture: Gabriel's trumpet	6. Week: 15. Lecture: 3D integrals 15. Lecture: other coordinate systems 15. Lecture: Sphere and torus 16. Lecture: Vector fields 16. Lecture: Line integral Line integrals and vectorfield module (Duke CCP), especially, the applet.
7. Week: 17. Lecture: Green's theorem 17. Lecture: Multivariable objects Planimeter Module (Duke) with applet. 18. Lecture: Stokes theorem 18. Lecture: Flux integrals 19. Lecture: Divergence theorem 19. Lecture: Divergence theorem

Please send comments to maths21a@fas.harvard.edu

Sun Aug 17 20:11:50 EDT 2003