| Date | Text Section |
Topic | |
|---|---|---|---|
| Sept. | 9 | 5.1, 5.2 | Introduction to the Definite Integral |
| 11 | 5.3, 5.4 | Fundamental Theorem of Calculus | |
| 14 | 6.1, 6.2, 6.4 | Constructing Antiderivatives | |
| 16 | 6.3 | Differential Equations | |
| 18 | 7.1 | Integration by Substitution | |
| 21 | 7.2 | Integration by Parts | |
| 23 | 7.4 | Partial Fractions | |
| 25 | 7.5 | Approximating Definite Integrals | |
| 28 | 7.6 | Approximation Error and Simpson's Rule | |
| 30 | 7.7 | Improper Integrals | |
| Oct. | 2 | Catch-up and Review | |
| 5 | First In-Class Exam | ||
| 7 | 8.1 | Areas and Volumes | |
| 9 | 8.2 | Applications to Geometry | |
| 12 | 8.3 | Area and Arc Length in Polar Coordinates | |
| 14 | 8.4 | Density and Center of Mass | |
| 16 | Applications to Biology | ||
| 19 | 9.2 | Geometric Series | |
| 21 | 10.1 | Taylor Polynomials | |
| 23 | 10.2 | Taylor Series | |
| 26 | FALL BREAK | ||
| 28 | 10.3 | Finding and Using Taylor Series | |
| 30 | Catch-up and Review | ||
| Nov. | 2 | Second In-Class Exam | |
| 4 | 12.1 | Functions of Two Variables | |
| 6 | 12.2 | Graphs of Functions of Two Variables | |
| 9 | 12.3 | Contour Diagrams | |
| 11 | 14.1 | The Partial Derivative | |
| 13 | 14.2 | Computing Partial Derivatives Algebraically | |
| 16 | 14.3, 14.4 | Linearity (Global and Local) | |
| 18 | 14.4 | Gradients and Directional Derivatives | |
| 20 | 14.7 | Second-order Partial Derivatives | |
| 23 | 15.1 | Local Extrema | |
| 25 | THANKSGIVING BREAK | ||
| 27 | THANKSGIVING BREAK | ||
| 30 | 15.2 | Optimization | |
| Dec. | 2 | 15.3 | Constrained Optimization (LaGrange Multipliers) |
| 4 | Catch-up and Review | ||
| 7 | Third In-Class Exam | ||
| 9 | 16.1 | Definite Integral in Two Variables | |
| 11 | 16.2 | Iterated Integrals | |
| 14 | Catch-up and Review | ||
| 21 | Final Exam (9:00am) |