1.  9/24:  Scalars and vectors.  Dot product and cross product of vectors.
           Scalar and vector-valued functions.  Derivatives of vector-valued 
           functions.  Read through Sec. 3.4. 
2.  9/25:  Kinematics in the plane.  Position, velocity, acceleration.
           Polar coordinates.  Orthogonal basis vectors for polar coordinates.  
           Arc length.  Finish reading Topics 2 and 3.  Start Topic 4.
3.  9/26:  Scalar and vector fields.  Directional derivatives.  Gradient.
           Finish reading Topic 4.  Start Topic 5.
4.  9/28:  Orthogonal curvilinear coordinates.  Cylindrical and spherical coordinates.
           Finish reading Topic 5.
5. 10/1:   More on orthogonal curvilinear coordinates.  Basis vectors as tangent lines
           to intersections of level surfaces and as normals to level surfaces.  Scale factors.
6. 10/2:   Rates of change of vector fields.  Divergence and curl in Cartesian and general
           orthogonal curvilinear coordinates.  Topic 6.
7. 10/3:   Relations between curl and divergence.  Line integrals.  Read Topic 7.
8. 10/5:   More on line integrals.  Computing work done by a force field moving a 
           particle along a curve.  Conservative vector fields.
9. 10/8:   How to describe a surface.  Normal vector to a surface.  Surface integrals.
           Read Topic 8.
10. 10/9:  More on surface integrals.  Flux through a surface.  Stokes Theorem.  Read Topic 9.
11. 10/10: More on Stokes Theorem.  Using it to compute areas.  Physical applications.
           Start on volume integrals and divergence theorem.  Read Topic 10.
12. 10/12: More on the divergence theorem.  Applications.  Finish reading Notes on Vector
           Calculus.
13. 10/15: Coulomb's law and applications of the divergence theorem.  Review.
14. 10/16: Review.
15. 10/17: Complex numbers.  Topic 11.
16. 10/19: Differentiation of complex functions.  Cauchy-Riemann conditions.  Read Topic 12.
17. 10/22: Problem session.
18. 10/23: Midterm.
19. 10/24: Cauchy-Riemann conditions in polar coordinates.  Elementary functions.
           Start Topic 13.
20. 10/26: Go over midterm.
21. 10/29: Multivalued functions and branch cuts.  Logarithm and square root.  Finish
           Topic 13.
22. 10/30: Examples.
23. 10/31: What is the same and what is different between complex-valued functions of
           a complex argument and real-valued functions of a real argument?  Start on
           complex integration.  Start Topic 14. 
24. 11/2:  Complex integration.  Cauchy and Cauchy-Goursat Theorems.  Continue Topic 14.  
25. 11/5:  Proof of Cauchy-Goursat Theorem.  Integrating (z-a)^n over a curve enclosing a.
           Continue Topic 14.
26. 11/6:  Answer questions from previous midterm, homework, etc.
27. 11/7:  Midterm.
28. 11/9:  Cauchy integral formula and formulas for derivatives.  Examples.  Start power series.
           Finish Topic 14.  Start Topic 15.
29. 11/13: Go over midterm 2.  Taylor series.  Start Laurent series.
30. 11/14: Laurent series.  Types of singularities. 
31. 11/16: More on singularities.  Computing residues.  Finish Topic 15.  Start Topic 16.
32. 11/19: The residue theorem.  Ways to evaluate residues.  Using the residue theorem to evaluate 
           contour integrals.
33. 11/20: Evaluating real integrals using contours in the complex plane.  Finish Topic 16.
34. 11/21: Jordan's lemma.  Evaluating contour integrals of functions with branch cuts.
           Start Topic 17.
35. 11/26: More contour integrals.  Integrating over a small arc around a singularity.
           Using contour integrals to compute infinite sums.  Finish Topic 17.
36. 11/27: The argument principle.  Using the argument principle to prove the Fundamental
           Theorem of Algebra.  Start Topic 19.
37. 11/28: Rouche's Theorem.  Finish Topic 19.
38. 11/30: Laplace transforms.  Using Laplace transforms to solve initial value problems
           for ordinary differential equations.  Start Topic 18.