p.72 #116, 124, 134, 136, 140, 149, 164 Math 1: Introduction to Calculus

#### 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)
Practice
10/4 Canvas Bounded and Convergent Sequences HW 11 (due 10/9)
Practice
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
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
11/17 Final Exam (3:00-6:00 pm, Carpenter 013)

Auli, Coscia, Hartman, and Tripp
Last updated November 11, 2017