Page numbers refer to the textbook Calculus and its Applications, 7th edition, by Goldstein, Lay, and Schneider. ``Supp. set'' refers to the supplementary problems I distributed at the start of the semester.
If you have problems reading the rest of this, try looking at this other version instead.
| Number | Assignment | Topic |
|---|---|---|
| 1 | p. 29: 1-5, 15-18 | linear functions, graphs |
| 2 | p. 63: 22, 23, 25, 26 | linear cost, revenue, and profit |
| 3 | p. 81: 4-8, 13, 15-18, 22, 23, 25 | points and slopes |
| 4 | p. 18: 13, 14, 17, 18, 21, 22 | function notation |
| 5 | p. 66: 33-36; Supp. set: 1-3 | non-linear cost and revenue |
| 6 | Supp. set: 4-7 | quadratic functions |
| 7 | p. 19: 23-26 | natural domain of a function |
| 8 | Supp. set: 8 | asymptotes |
| 9 | p. 53: 1, 2, 8-10, 12-15, 17-20, 77-84; Supp. set: 9 | powers and roots |
| 10 | p. 20: 53, 54, 56; Supp. set: 10, 11 | multi-line functions and continuity |
| 11 | p. 54: 85-90, 94 | simple and compound interest |
| 12 | p. 344: 5, 6, 8, 11 | continuously compounded interest |
| 13 | p. 310: 1-8, 13-18, 21-23; Supp. set: 12-16 | basic exp-log relation |
| 14 | p. 336: 15-18; Supp. set: 17-19 | growth and decay problems |
| 15 | p. 345: 10, 13, 14 | growth of an investment |
| 16 | p. 89: 10-12, 13-18 | slope of a curve -- general idea |
| 17 | p. 90: 22, 23, 25-27 | slope and tangent of parabola |
| 18 | Supp. set: 20 | slope and tangent by secant approximation |
| 19 | Supp. set: 21 | derivative from definition |
| 20 | p. 126: 4-6, 13-15, 29, 32; Supp. set: 22 | derivative from formulas |
| 21 | p. 126: 39, 41, 42 | slope and tangent via derivative formulas |
| 22 | p. 148: 31(a,b,d,e), 33; Supp. set: 23 | velocity |
| 23 | p. 148: 31(c), 34; p. 153: 54, 55, 57 | acceleration and second derivative |
| 24 | p. 146: 23-26 | marginal cose, revenue, and profit |
| 25 | p. 146: 18, 35, 38, 39, 40 | linear approximation |
| 26 | Supp. set: 24-27 | derivative of ln x |
| 27 | Supp. set: 28-30 | derivative of ex |
| 28 | Supp. set: 31-34 | derivatives of other exponentials |
| 29 | Supp. set: 35, 36 | Newton's law of cooling |
| 30 | p. 336: 19-21 | carbon dating |
| 31 | p. 257: 1,3; p. 304: 22, 25, 27; p. 314: 4, 7, 16, 17 | product rule |
| 32 | p. 257: 13, 15, 32, 36, 37; p. 304: 29; p. 314: 14 | quotient rule |
| 33 | p. 265: 11, 33, 34, 45-47, 49; p. 304: 5, 11, 14, 23; p. 314: 3, 6, 11, 12, 25 | chain rule |
| 34 | p. 281: 13, 14, 21-26, 50, 51; p. 322: 20, 21, 26, 50, 51, 59, 60; Supp. set: 37, 38 | miscellaneous derivative problems |
| 35 | Supp. set: 39-42; p. 184: 37, 38; p. 315: 26, 28 | critical points and first derivative test |
| 36 | p. 180: 1-6, 39, 40; p. 244: 3-6 | second derivative and concativity |
| 37 | p. 195: 2, 5, 9, 11, 17-20; p. 304: 35, 37, 38 | second derivative test |
| 38 | p. 246: 33, 35, 36, 41-43; p. 305: 51, 52; p. 323: 31, 33, 65, 66 | curve sketching |
| 39 | p. 226: 1, 2, 4-6 (Note: read examples 1-3 on pages 218-222.) | optimization |
| 40 | p. 240: 3, 5, 7, 8, 9, 11, 13 | economics and business problems |
| 41 | p. 382: 1-6, 24, 25, 28, 34, 36, 47, 49, 50 | antiderivatives |
| 42 | p. 410: 23-26, 28, 29, 31 | area and antiderivative |
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