MATH 2670 – Calculus 4 for Engineering
Homework problems, Winter 2020
Problems are from the assigned textbooks:
James Stewart, Multivariable Calculus, 8th Edition, Cengage Learning, 2016.
Zill, Differential Equations with Boundary Value Problems, 9th Edition, Cengage Learning, 2018.
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.
Please check this page regularly: it will be updated throughout the term.
| Date Assigned | Topic | Problems |
| Jan 13 | line integrals | Stewart §16.2; #1, 3, 5, 11, 19, 21, 25 |
| conservative fields | Stewart §16.3; #3, 5, 11, 13, 17, 19 |
|
| Jan 20 | quiz #1 | |
| Jan 20 | Green’s Theorem | Stewart §16.4; #1, 5, 6, 11, 19 |
| curl & divergence (if needed) | Stewart §16.5; #1, 12, 13, 15, 25, 29 |
|
| parametric surfaces | Stewart §16.6; #13–18, 41, 43, 47 |
|
| Jan 27 | quiz #2 | |
| Jan 27 | surface integrals | Stewart §16.7; #7, 13, 17, 23, 25, 29 |
| Stokes’ Theorem | Stewart §16.8; #1, 3, 7, 9 |
|
| Feb 4 | quiz #3 | |
| Feb 4 | Divergence Theorem | Stewart §16.9; #1, 3, 5, 11, 17 |
| separable DEs | Zill §2.2; #5, 9, 11, 23, 25, 29 |
|
| Feb 11 | midterm exam #1 | |
| Feb 14 | linear DEs | Zill §2.3; #3, 7, 27, 33 |
| linear models & mixing | Zill §3.1; #21, 23 |
|
| Feb 17-21 | mid-semester break | |
| Feb 28 | quiz #4 | |
| Feb 28 | homogeneous eqs. with const. coeffs. | §4.3; #1, 5, 13, 15, 29, 31 |
| undetermined coefficients | §4.4; #3, 5, 13, 29, 37 |
|
| Mar 9 | quiz #5 | |
| Mar 9 | Laplace transform (definition) | §7.1; #2, 3, 13, 19, 21, 27 |
| Laplace transforms & DEs | §7.2; #35, 37, 39, 41, 47 |
|
| Mar 17 | quiz #6 | |
| Mar 17 | step functions | §7.3; #37, 41, 45, 47, 63, 65, 69 |
| convolution | §7.4; #23, 25, 41, 43 |
|
| Dirac delta function | §7.4; #1, 3, 7 |
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| Mar 23 | Transition to online instruction and self-study. | |
| Check the course website regularly! | ||
| Mar 23 | Fourier series | §11.2; #1, 3, 5 |
| Cosine & sine series | §11.3; #25, 31 |
|
| Mar 30 | 8:30AM PST. quiz #7 (open-book). | |
| Dirac delta function and Fourier series. | ||
| Quiz will be posted on course website. | ||
| Scan/photograph your solution and email to me. | ||
| Mar 30 | series solutions | §6.2; #3, 7, 11, 13, 21 |
| Apr 6 | 8:30AM PST. quiz #8 (open-book). | |
| Quiz will be posted on course website. | ||
| Scan/photograph your solution and email to me. | ||
| Apr 20 | 9:00AM 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 1:00PM PST. | ||
April 19, 2020