MATH 1230 – Calculus 2 for Engineering
Homework problems, Winter 2020
Problems are from the assigned textbook: W. Briggs, L. Cochran, B. Gillett, Calculus: Early Transcendentals, Single Variable, 3rd Edition, Pearson Education, 2019.
The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.
Date Assigned | Topic | Problems |
Jan 13 | Riemann sums; definite integrals | §5.2; #7, 9, 11, 17, 21, 39, 41, 43, 79, 80, 81, 83 |
Jan 20 | quiz #1 | |
Jan 20 | Fundamental theorem | §5.3; #25, 27, 29, 33, 35, 41, 47, 51, 59, 65, 111 |
Substitutions | §5.5; #7, 9, 17, 19, 23, 51, 45, 55, 61 |
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Jan 27 | quiz #2 | |
Jan 27 | Derivatives of integrals | §5.3; #73, 77, 79, 85 |
Velocity & net change | §6.1; #7, 11, 13, 19, 41, 47 |
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Feb 4 | quiz #3 | |
Feb 4 | Areas between curves | §6.2; #9, 11, 19, 21, 28, 39, 41, 59 |
Volumes (slicing) | §6.3; #17, 19, 27 |
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Integration by parts | §8.2; #9, 11, 13, 19, 23, 25, 39, 43, 44 |
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Feb 13 | MIDTERM EXAM #1 | |
Feb 14 | Volumes (shells) | §6.4; #9, 13, 15 |
Improper integrals | §8.9; #7, 9, 11, 17, 33, 37, 49 |
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Arc length | §6.5; #3, 5, 9, 11 |
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Feb 17-21 | mid-semester break | |
Feb 25 | Partial fractions | §8.5; #23, 25, 29, 33, 34, 35 |
Work | §6.7; #35, 36, 37, 39 |
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Mar 3 | quiz #4 | |
Mar 3 | Trigonometric integrals | §8.3; #9, 11, 15, 19, 23, 25 |
Differential equations | §9.3; #5, 7, 9, 17, 21, 29 |
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Mar 12 | quiz #5 | |
Mar 12 | Modeling with DEs (cooling) | §9.4; #5, 11, 27, 28, 33 |
Mixing models | §9.5; #23, 25 |
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Numerical integration | §8.8; #15, 21, 23, 25, 27, 35, 36 |
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Mar 23 | Transition to online instruction and self-study. | |
Check the course website regularly! | ||
Mar 23 | geometric series | §10.3; #21, 23, 25, 27, 35 |
ratio test | §10.7; #9, 13, 15, 17, 21 |
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Mar 30 | 9:30AM PST. quiz #6 (open-book). | |
Quiz will be posted on course website. | ||
Scan/photograph your solution and email to me. | ||
Mar 30 | Taylor polynomials | §11.1; #9, 11, 33, 35 |
Taylor & Maclaurin series | §11.3; #9, 11, 25, 35, 36, 37 |
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Apr 6 | 9:30AM PST. quiz #7 (open-book). | |
Quiz will be posted on course website. | ||
Scan/photograph your solution and email to me. | ||
Apr 6 | radius of convergence | §11.2; #9, 15, 19, 21, 23, 25, 29 |
applications of Taylor series | §11.4; #37, 39, 41, 45, 47 |
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Apr 21 | 2:00PM PST. FINAL EXAM (open-book). | |
Exam will be posted on course website at the scheduled time. | ||
Scan/photograph your solution and email to me by 6:00PM PST. | ||
April 21, 2020