The table below shows the schedule of topics (including WeBWorK assignments) for the semester. It was last updated on November 12, 2024. It may be updated again as the semester progresses.
Session | Date | Section and Topic | WeBWorK Assignment | Suggested Textbook Problems (these problems are for extra practice ONLY – they will not be collected) |
---|---|---|---|---|
1 | Wednesday, 8/28 | 4.10 Antiderivatives (p. 485 β 496) | Review-PowerRule Review-ProductRule Review-QuotientRule Review-ChainRule Integration β Antiderivatives | P. 497: 465, 470, 471, 476, 477, 481, 484, 490, 492, 493, 495, 496, 499, 500, 501 |
9/2 – COLLEGE CLOSED | ||||
2 | Wednesday, 9/4 | 1.2 The Definite Integral (p. 27 β 39) 1.3 The Fundamental Theorem of Calculus (p. 50 β 57) | Integration β Definite Integrals Integration β Fundamental Theorem constant bounds Integration β Fundamental Theorem variable bounds | P. 42: 71, 73, 75, 76, 77, 80, 88, 89, 90, 92 P. 60: 170, 171, 172, 182, 183, 184, 187 |
3 | Monday, 9/9 | 1.5 Substitution (p. 82 β 89) 1.6 Integrals Involving Exponential and Logarithmic Functions (p. 94 β 96, 98 -102) | Integration β Substitution Integration β Exponential and Logarithmic | P. 90: 256, 258, 261, 265, 271, 273, 275, 276, 292, 293 P. 103: 320, 321, 322, 325, 327, 328, 330, 332, 335, 337, 338, 355 β 363 all |
4 | Wednesday, 9/11 | 3.1 Integration by Parts (p. 261 β 268) | Integration β Integration by Parts | P. 270: 7, 8, 13, 15, 16, 19, 20, 27, 31, 38, 42, 43, 45 |
5 | Monday, 9/16 | 3.2 Trigonometric Integrals (p. 273 β 282) | Integration β Trigonometric Integrals | P. 283: 73, 74, 78 β 85 all, 91, 97, 98, 100 |
6 | Wednesday, 9/18 | 3.3 Trigonometric Substitution (p. 285 β 293) | Integration β Inverse Trigonometric Result | P. 296: 126, 128, 135 β 143 odd, 147 β 153 odd |
7 | Monday, 9/23 | 3.3 Trigonometric Substitution (continued) [cover problems #132 on p. 196 and #164 on p. 297] | Integration β Trigonometric Substitution | P. 296: 131, 133, 134, 160 β 163 all, 164 |
8 | Wednesday, 9/25 | First Examination | ||
9 | Monday, 9/30 | 3.4 Partial Fraction Decomposition (p. 298 β 303) | Integration β Partial Fractions distinct linear factors | P. 308: 183, 185, 187, 196, 197, 199, 200 β 204 all |
10/2 NO CLASSES | ||||
10 | Monday, 10/7 | 3.4 Partial Fraction Decomposition (cont.) (p. 303 β 306) | Integration β Partial Fractions repeated and quadratic factors | P. 308: 189, 198, 205, 206, 207, 209 β 212 all, 215, 217 |
11 | Wednesday, 10/9 | 3.7 Improper Integration (p. 330 β 340) | Integration β Improper Integrals | P. 343: 347 β 373 odd |
10/14 NO CLASSES | ||||
12 | Tuesday, 10/15 Monday Schedule | 6.3 Taylor and Maclaurin Polynomials (p.562-567) | P. 578: 118β123 all | |
13 | Wednesday, 10/16 | 6.3 Taylor and Maclaurin Polynomials (continued) (p.567–573) | Series β Taylor and Maclaurin Polynomials | P. 578: 125, 127, 28, 133, 135 |
14 | Monday, 10/21 | 5.1 Sequences (p.427–444) | Series β Sequences Series β Limit of a Sequence | P. 447: 1, 3, 7, 9, 12, 13–15 odd, 23–37 odd, 47–51 odd |
15 | Wednesday, 10/23 | Midterm Exam | ||
16 | Monday, 10/28 | 5.2 Infinite Series (p.450–459) | Series β Infinite Series | P. 466: 67–74, 76, 77, 79, 80, 83-85 odd, 89β95 odd |
17 | Wednesday, 10/30 | 5.3 The Divergence and Integral Tests (p.471-478) | Series β Integral Test Series β Divergence Test | P. 482: 138, 139–145 odd, 152β 155, 158, 159, 161, 163 |
18 | Monday, 11/4 | 5.4 Comparison Tests (p.485–492) | Series β Comparison Tests | P. 493: 194β197all, 199, 200, 202, 204β206 all, 211 (optional: 222-223) |
19 | Wednesday, 11/6 | 5.5 Alternating Series (p.496–502) | Series β Alternating Series | P. 505: 250–257 all, 261β264 all, 266, 267 |
20 | Monday, 11/11 | 5.6 Ratio and Root Tests (p.509–519) | Series β Ratio and Root Tests | P. 522: 317–320 all, 323, 325, 328, 329–335 odd, 349, 351 |
21 | Wednesday, 11/13 | 6.1 Power Series and Functions (p.531–537) 6.2 Properties of Power Series (p.544–548, 552–557) | Series β Power Series | P. 541: 13-21 odd, 24, 28 P. 558: 87β90 all, 96, 97 |
22 | Monday, 11/18 | 6.1 Power Series and Functions (p.531–537) 6.2 Properties of Power Series (p.544–548, 552–557) | Series β Power Series | P. 541: 13-21 odd, 24, 28 P. 558: 87β90 all, 96, 97 |
23 | Wednesday, 11/20 | 6.3 Taylor and Maclaurin Series (p.561–562, 573–576) 6.4 Working with Taylor Series (p.584–587, 590-592) | Series β Taylor and Maclaurin Series | P. 578: 118-123 all, 140β147 all, 151β155 all P. 596: 203, 206, 207, 209, 219-223 odd |
24 | Monday, 11/25 | Third Exam | ||
11/27 – FRIDAY SCHEDULE | ||||
25 | Monday, 12/2 | 6.3 Taylor and Maclaurin Series (p.561–562, 573–576) 6.4 Working with Taylor Series (p.584–587, 590-592) | Series β Taylor and Maclaurin Series | P. 578: 118-123 all, 140β147 all, 151β155 all P. 596: 203, 206, 207, 209, 219-223 odd |
26 | Wednesday, 12/4 | 2.1 Areas Between Two Curves (p. 122 β 128) | Applications β Area Between Curves | P. 131: 1 β 7 all, 11, 15 β 21 all, 23 P. 271: 63 |
27 | Monday, 12/9 | 2.2 Determining Volumes by Slicing (p. 141 β 149) | Applications β Volumes of Revolution | P. 150: 58, 59, 74 β 80 all, 98 β 102 all Find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=12-x, x=0 and x>=0 about (a) the xβaxis; (b) the line y = -2; (c) the line y = 15; (d) the y-axis; (e) the line x = -5; (f) the line x = 7. |
28 | Wednesday, 12/11 | 2.3 Volumes of Revolution: Cylindrical Shells (p. 156 β 165) | Applications β Volumes of Revolution | P. 166: 120 β 131 all, 140-143 all, 145, 148, 158, 159 P. 271: 61 |
29 | Monday, 12/16 | Review | ||
30 | Wednesday, 12/18 | Final Examination |
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