| SES # | TOPICS | KEY DATES |
|---|---|---|
| Derivatives | ||
| 0 | Recitation: graphing | |
| 1 | Derivatives, slope, velocity, rate of change | |
| 2 |
Limits, continuity Trigonometric limits | |
| 3 | Derivatives of products, quotients, sine, cosine | |
| 4 |
Chain rule Higher derivatives | |
| 5 | Implicit differentiation, inverses | Problem set 1 due |
| 6 |
Exponential and log Logarithmic differentiation; hyperbolic functions | |
| 7 | Hyperbolic functions and exam 1 review | |
| 8 | Exam 1 covering Ses #1-7 | |
| Applications of Differentiation | ||
| 9 | Linear and quadratic approximations | |
| 10 | Curve sketching | |
| 11 | Max-min problems | Problem set 2 due |
| 12 | Related rates | |
| 13 | Newton's method and other applications | |
| 14 |
Mean value theorem Inequalities | Problem set 3 due |
| 15 | Differentials, antiderivatives | |
| 16 | Differential equations, separation of variables | |
| 17 | Exam 2 covering Ses #8-16 | |
| Integration | ||
| 18 | Definite integrals | |
| 19 | First fundamental theorem of calculus | Problem set 4 due |
| 20 | Second fundamental theorem | |
| 21 | Applications to logarithms and geometry | |
| 22 | Volumes by disks, shells | Problem set 5 due |
| 23 | Work, average value, probability | |
| 24 | Numerical integration | |
| 25 | Exam 3 review | |
| Techniques of Integration | ||
| 26 | Trigonometric integrals and substitution | |
| 27 | Exam 3 covering Ses #18-24 | Problem set 6 due |
| 28 | Integration by inverse substitution; completing the square | |
| 29 | Partial fractions | |
| 30 | Integration by parts, reduction formulae | Problem set 7 due |
| 31 | Parametric equations, arclength, surface area | |
| 32 |
Polar coordinates; area in polar coordinates Exam 4 review | |
| 33 | Exam 4 covering Ses #26-32 | |
| 34 | Indeterminate forms - L'Hôspital's rule | |
| 35 | Improper integrals | |
| 36 | Infinite series and convergence tests | |
| 37 | Taylor's series | Problem set 8 due |
| 38 | Final review | |
| Final exam | ||
