| Differentiation |
| 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 |
| 6 |
Exponential and log - Logarithmic differentiation; hyperbolic functions |
| 7 |
Hyperbolic functions (cont.) and exam 1 review |
| 8 |
Exam 1 covering Ses #1-7 (No video) |
| Applications of Differentiation |
| 9 |
Linear and quadratic approximations |
| 10 |
Curve sketching |
| 11 |
Max-min problems |
| 12 |
Related rates |
| 13 |
Newton's method and other applications |
| 14 |
Mean value theorem
Inequalities
|
| 15 |
Differentials, antiderivatives |
| 16 |
Differential equations, separation of variables |
| 17 |
Exam 2 covering Ses #8-16 (No video) |
| Integration |
| 18 |
Definite integrals |
| 19 |
First fundamental theorem of calculus |
| 20 |
Second fundamental theorem |
| 21 |
Applications to logarithms and geometry |
| 22 |
Volumes by disks and shells |
| 23 |
Work, average value, probability |
| 24 |
Numerical integration |
| 25 |
Exam 3 review |
| 26 |
Exam 3 covering Ses #18-24 (No video) |
| Techniques of Integration |
| 27 |
Trigonometric integrals and substitution |
| 28 |
Integration by inverse substitution; completing the square |
| 29 |
Partial fractions |
| 30 |
Integration by parts, reduction formulae |
| 31 |
Parametric equations, arclength, surface area |
| 32 |
Polar coordinates; area in polar coordinates |
| 33 |
Exam 4 review |
| 34 |
Exam 4 covering Ses #27-33 (No video) |
| 35 |
Indeterminate forms - L'Hôspital's rule |
| 36 |
Improper integrals |
| 37 |
Infinite series and convergence tests |
| 38 |
Taylor's series |
| 39 |
Final review |
