| Date | Topics |
|---|
| Fri, Sep 23 | 1.1-1.2 Vectors and Coordinates |
| Mon, Sep 26 | 1.3 Lines and Planes |
| Wed, Sep 28 | 1.4 Dot product |
| Fri, Sep 30 | 1.5 Euclidean geometry |
| Mon, Oct 03 | 1.6 Cross product |
| Wed, Oct 05 | 4.1.A Functions from R^n to R^m, linear transformations and matrices, functions of a single variable and their image curves |
| Fri, Oct 07 | 4.1.A Functions of a single variable: limits and continuity, epsilon-delta definitions |
| Mon, Oct 10 | 4.1.A-C Functions of a single variable: differentiability, smooth curves, velocity and acceleration |
| Wed, Oct 12 | 4.1.D, 8.2 Arc length, curves parametrized by arc length |
| Fri, Oct 14 | 8.3 Normal vectors, tangential and centripetal accelerations, curvature |
| Mon, Oct 17 | Derivation of Kepler's First Law |
| Wed, Oct 19 | FIRST MIDTERM |
| Fri, Oct 21 | 4.2.A Functions of several variables: graphs |
| Mon, Oct 24 | 4.2.B,D Level sets, quadratic surfaces |
| Wed, Oct 26 | 5.1.A Topology of R^n: open and closed sets, interior and boundary points |
| Fri, Oct 28 | 5.1.B Limits of functions from R^n to R^m: comprehending the epsilon-delta definition |
| Mon, Oct 31 | 5.1.C Continuity of functions from R^n to R^m |
| Wed, Nov 02 | 4.3 Partial derivatives |
| Fri, Nov 04 | 5.2 Differentiability of functions from R^n to R: motivation, definition, uniqueness |
| Mon, Nov 07 | 5.2 Differentiability of functions from R^n to R: sufficient condition, differentiability and continuity, tangent approximation |
| Wed, Nov 09 | 5.3 Directional derivatives, the mean-value theorem |
| Fri, Nov 11 | Veterans Day holiday |
| Mon, Nov 14 | 5.4 Differentiability of functions from R^n to R^m, derivative matrices |
| Wed, Nov 16 | SECOND MIDTERM |
| Fri, Nov 18 | 4.4 Parameterized surfaces, tangent planes, graph of functions from R^2 to R as parametrized surfaces |
| Mon, Nov 21 | 6.2 Chain rule, the Inverse Function Theorem (without proof) |
| Wed, Nov 23 | 6.1 Plotting gradient fields, direction of maximal increase, relation with level sets |
| Fri, Nov 25 | Thanksgiving holiday |
| Mon, Nov 28 | 6.3 Implicit differentiation |
| Wed, Nov 30 | 6.4A,B Finding points of minimum and maximum (extreme points) of a function on a given set |
| Fri, Dec 02 | 6.4B,C Lagrange multiplier method |
| Tue, Dec 06, | FINAL EXAM, 3:00-6:00 PM |