| Derivatives |
| 1 |
Derivatives, slope, velocity, rate of change |
(PDF - 1.1 MB) |
Ses #1-7 complete (PDF - 5.2 MB) |
| 2 |
Limits, continuity
Trigonometric limits
|
(PDF - 2.6 MB) |
| 3 |
Derivatives of products, quotients, sine, cosine |
(PDF) |
| 4 |
Chain rule
Higher derivatives
|
(PDF) |
| 5 |
Implicit differentiation, inverses |
(PDF) |
| 6 |
Exponential and log
Logarithmic differentiation; hyperbolic functions
|
(PDF) |
| 7 |
Hyperbolic functions and exam 1 review |
(PDF) |
| 8 |
Exam 1 covering Ses #1-7 |
(No Lecture Notes) |
| Applications of Differentiation |
| 9 |
Linear and quadratic approximations |
(PDF) |
Ses #9-16 complete (PDF - 6.9 MB) |
| 10 |
Curve sketching |
(PDF - 1.8 MB) |
| 11 |
Max-min problems |
(PDF - 1.1 MB) |
| 12 |
Related rates |
(PDF - 1.0 MB) |
| 13 |
Newton's method and other applications |
(PDF - 1.2 MB) |
| 14 |
Mean value theorem
Inequalities
|
(PDF) |
| 15 |
Differentials, antiderivatives |
(PDF) |
| 16 |
Differential equations, separation of variables |
(PDF) |
| 17 |
Exam 2 covering Ses #8-16 |
(No Lecture Notes) |
| Integration |
| 18 |
Definite integrals |
(PDF) |
Ses #18-25 complete (PDF - 8.6 MB) |
| 19 |
First fundamental theorem of calculus |
(PDF) |
| 20 |
Second fundamental theorem |
(PDF) |
| 21 |
Applications to logarithms and geometry |
(PDF - 1.4 MB) |
| 22 |
Volumes by disks and shells |
(PDF - 1.7 MB) |
| 23 |
Work, average value, probability |
(PDF - 2.2 MB) |
| 24 |
Numerical integration |
(PDF - 1.1 MB) |
| 25 |
Exam 3 review |
(PDF) |
| Techniques of Integration |
| 26 |
Trigonometric integrals and substitution |
(PDF) |
Ses #26-38 complete (PDF - 8.6 MB) |
| 27 |
Exam 3 covering Ses #18-24 |
(No Lecture Notes) |
| 28 |
Integration by inverse substitution; completing the square |
(PDF) |
| 29 |
Partial fractions |
(PDF) |
| 30 |
Integration by parts, reduction formulae |
(PDF - 1.4 MB) |
| 31 |
Parametric equations, arclength, surface area |
(PDF) |
| 32 |
Polar coordinates; area in polar coordinates
Exam 4 review
|
(PDF - 2.0 MB)
(PDF)
|
| 33 |
Exam 4 covering Ses #26-32 |
(No Lecture Notes) |
| 34 |
Indeterminate forms - L'Hôspital's rule |
(PDF) |
| 35 |
Improper integrals |
(PDF) |
| 36 |
Infinite series and convergence tests |
(PDF - 1.4 MB) |
| 37 |
Taylor's series |
(PDF) |
| 38 |
Final review |
(PDF) |