Syllabus and HW Assignments
The schedule of topics may be subject to change.
| Date | Section | Topic | HW Problems |
Practice Problems |
|---|---|---|---|---|
| 9/11 | 1.1 | Functions and Graphs | HW 1 (due 9/15) p. 27: 8, 16, 18, 22, 26, 30, 32 |
p. 27: 7, 9, 13, 15, 21, 23, 27, 29, 33, 35 |
| 9/13 | 1.1 | Operations on Functions; Even and Odd Functions | HW 2 (due 9/18) p. 27: 10, 20, 34, 36, 40, 42, 44, 46, 48 |
p. 27: 25, 31, 37, 39, 41, 43, 45, 47 |
| 9/15 | 1.2 | Library of Functions | HW 3 (due 9/20) p. 57: 62, 66, 68, 70, 74, 76, 84 |
p. 57: 59, 65, 69, 71, 81, 83, 87 |
| x-hr | 1.2 | Algebra Review | ||
| 9/18 | 1.2, 2.1 | Average Rate of Change; Constructing a Function Which Describes a Model | HW 4 (due 9/22) p. 57: 106, 110; p. 132: 4, 5, 6, 16, 17 [T] indicates you might find it helpful to use a calculator. Ignore the instructions about significant digits. |
p. 57: 103, 105, 107; p. 132: 1, 2, 3, 7, 8, 9, 18, 19 |
| 9/20 | 1.2 | Composite Functions | HW 5 (due 9/25) p. 57: 88, 89, 90, 91, 92, 93, 94, 96 |
|
| 9/22 | 1.3 | Trigonometric Functions | HW 6 (due 9/27) p. 72: 116, 124, 134, 136, 140, 149, 164 |
p.72: 113, 119, 123, 125, 126, 129, 137, 141, 146, 147, 152, 163 |
| x-hr | Quiz 1 | |||
| 9/25 | 1.4 | Inverse Functions | HW 7 (due 9/29) p. 90: 188, 192, 194, 196, 200, 206, 208, 212, 216 |
p. 90: 183, 187, 191, 193, 195, 197, 204, 205, 207, 213, 217 |
| 9/27 | 1.5 | Exponential and Logarithmic Functions | HW 8 (due 10/2) p. 111: 252, 262, 272, 282, 286, 288, 294, 306 |
p. 111: 247, 251, 255, 261, 271, 273, 279, 287, 293, 295, 305 |
| 9/29 | Canvas: Reference on sequences | Sequences | HW 9 (due 10/4) Canvas reading p. 447: 2, 4, 5, 6, 8, 9, 10, 12 |
Canvas reading p. 447: 1, 3, 7, 11, 13 |
| x-hr | Quiz 2 | |||
| 10/2 | Canvas | Limit of a Sequence | HW 10 (due 10/9) Linked above |
Practice Linked above |
| 10/4 | Canvas | Bounded and Convergent Sequences | HW 11 (due 10/9) Linked above |
Practice Linked above |
| 10/5 | Midterm 1 (4:30-6:30 pm, Kemeny 008) | |||
| 10/6 | 2.2 | Limit of a Function | HW 12 (due 10/11) p. 154: 30, 31, 38, 60, 62, 63, 64, 82 |
p. 154: 41, 46, 47, 48, 49, 65, 66, 67, 71, 72, 73 |
| x-hr | Midterm Review | |||
| 10/9 | 2.3 | Limit Laws | HW 13 (due 10/13) p. 176: 83, 86, 90, 92, 94, 96, 102, 104, 108, 112 |
p. 176: 87, 89, 91, 93, 97, 101, 105, 107, 111, 113, 119, 123 |
| 10/11 | 2.4 | Continuity | HW 14 (due 10/16) p. 191: 132, 136, 138, 142, 146, 148, 154, 156 (typo: replace $k$ with $k_1$ in part b), 160 |
p. 191: 131, 133, 137, 139, 141, 143, 145, 147, 155, 159, 161, 163 |
| 10/13 | 2.3, 2.4 | Continuity; Intermediate Value Theorem; Squeeze Theorem | HW 15 (due 10/18) p. 176: 126, 127, 128 p. 191: 135, 137, 140, 144, 150, 164 |
p. 191: 142, 143, 151, 153, 157 (ignore part vi), 165 |
| x-hr | Quiz 3 | |||
| 10/16 | 3.1 | Defining the Derivative | HW 16 (due 10/20) p. 228: 12, 16, 22, 24, 28, 34, 36 (for part c, use your answer from part b, not part a), 44 |
p. 228: 13, 15, 19, 23, 27, 31, 39, 43, 47 |
| 10/18 | 3.2 | The Derivative as a Function | HW 17 (due 10/23) p. 243: 56, 58, 60, 64, 66, 68, 70, 74, 78, 90 (use $P(x)$ as $f(x)$) |
p.243: 55, 57, 59, 61, 65, 71, 73, 75, 79, 91 (use $C(x)$ as $f(x)$), 93 (use $g(x)$ as $f(x)$), 97, 99 |
| 10/20 | Limits, Continuity, and Differentiability | No homework to submit. | HW 18 (for practice only) p. 176: 85, 98, 100, 114, 116 p. 191: 131, 133, 134, 143, 149, 151, 163, 166 p. 228: 11, 18, 20, 29, 30, 51 p. 243: 72, 76, 80, 94 |
|
| x-hr | Quiz 4 | |||
| 10/23 | 3.3 | Basic Rules for Derivatives | HW 19 (due 10/30) p. 263: 106, 108, 110, 114, 118, 122, 130, 134, 142 |
p. 263: 107, 109, 119, 121, 133, 135, 137, 140, 141, 142, 144(a) |
| 10/25 | 3.3 | Product and Quotient Rules | HW 20 (due 10/30) p. 263: 112, 116, 124, 126, 128, 132, 146, 148 |
p. 263: 111, 115, 117, 123, 125, 127, 131, 139, 141 |
| 10/26 | Midterm 2 (4:30-6:30 pm, Kemeny 008) | |||
| 10/27 | 3.5 | Derivatives of Trig Functions | HW 21 (due 11/1) p. 285: 178, 180, 182, 186, 190, 194, 196, 198, 212 |
p. 285: 175, 177, 179, 181, 185, 187, 191, 195, 199, 201, 209, 211, 213 |
| x-hr | Midterm Review | |||
| 10/30 | 3.6 | The Chain Rule | HW 22 (due 11/3) p. 297: 214, 220, 222, 230, 232, 236, 238, 248, 252, 254 |
p. 297: 215, 223, 225, 227, 229, 237, 239, 240, 245, 246, 247, 256 |
| 11/1 | 3.6, 3.8 | The Chain Rule; Implicit Differentiation | HW 23 (due 11/6) p. 297: 218, 224, 226, 233, 234, 243, 249, 250, 258 |
p. 297: 217, 219, 221, 235, 251, 253, 255 |
| 11/3 | 3.8 | Implicit Differentiation; Derivatives of Inverse Trig Functions | HW 24 (due 11/8) Part 1: p. 317: 300, 304, 308, 314, 320 Part 2 (link to Canvas) |
p. 317: 301, 305, 307, 309, 311, 313, 319, 321, 325 |
| x-hr | Quiz 5 | |||
| 11/6 | 3.9 | Derivatives of Log Functions | HW 25 (due 11/10) p. 331: 331, 332, 333, 334, 335, 340, 341, 342 |
|
| 11/8 | 4.8 | L'Hopital's Rule | HW 26 (due 11/13) p. 470: 360, 368, 370, 372, 374, 375, 376, 378, 384, 389 |
p. 470: 359, 361, 367, 369, 371, 373, 377, 379, 381 |
| 11/10 | 4.2 | Linear Approximation | No homework to submit. |
HW 27 (for practice only) p. 364: 48, 51, 53, 54, 55, 57, 59, 87 |
| x-hr | Quiz 6 | |||
| 11/13 | Review | |
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| 11/17 | Final Exam (3:00-6:00 pm, Carpenter 013) | |||