Course outline: pdf file.
Textbook: Notes on Diffy Qs: Differential Equations for Engineers, by Jiri Lebl, (online and free, there is a link to affordable paperback)
Supplementary text: Differential Equations and Their Applications, 4th Ed., by Martin Braun (accessible from inside UBC or via VPN). We will follow Braun's section 1.9 for the topic on exact equations.
| Week |
Date |
Homework sets and Exams | Solutions |
|---|---|---|---|
| 1 |
Wed 09.09 |
first lecture |
|
| 2 |
Fri 09.18 |
|
|
| 3 |
Fri 09.25 |
H1 and
practice* |
h1s, ph1s |
| 4 |
Fri 10.02 | H2 and
practice*
|
h2s, ph2s |
| 5 |
Fri 10.09 |
Midterm Exam 1 It will cover Sections 1.1-1.4, 1.6, 1.7, and Braun 1.9. It will not cover 1.5 nor Chapter 2. Sample 1 for MT1 and solutions, Sample 2 for MT1 and solutions. Problem 4 of the sample exams are from Chapter 2 and not covered in our midterm exam. |
S101,S102 S103 S104 |
| 6 |
Fri 10.16 | H3 and
practice*
|
h3s, ph3s |
| 7 |
Fri 10.23 |
H4 and
practice* |
h4s, ph4s |
| 8 |
Fri 10.30 |
H5 and
practice* |
h5s, ph5s |
| 9 |
Fri 11.06 |
H6 and
practice* |
h6s, ph6s |
| 10 |
Fri 11.13 |
Midterm Exam 2 It will cover Chapters 2 and 6, except sections 2.3, 6.2.4, 6.3.3 and 6.4.4. It does not cover reduction of order. Table of Laplace transform to be provided in the exams Sample 1 for MT2 and solutions, Sample 2 for MT2 and solutions. |
S101,S102 S103 S104 |
| 11 |
Fri 11.20 |
H7 and practice* | h7s, ph7s |
| 12 |
Fri 11.27 |
H8 and practice* | h8s, ph8s |
| 13 |
Fri 12.04 |
last lecture and practice* | ph9s
|
| Thu 12.17 8:30am |
Final Exam In addition to sections covered in MT1 and MT2, it will cover sections 3.3-3.5, 3.7, 3.9, and 8.1-8.3. It will not cover 3.6, 3.8, 3.9.3. It will not cover methods of eigenvector decomposition and undetermined coefficients in 3.9.1, and global phase portrait in 8.3. Section 101: HEBB 100 Section 102: MATH 100 Section 103: BUCH A101 Section 104: HEBB 100 Revised table of Laplace transform and variation of parameters, to be provided in final exam. Old final exams:
|
| Section | Instructor | Location | Time | Section Link |
|---|---|---|---|---|
| 101 | Mingfeng Zhao | Leonard S. Klinck (CSCI) 201 | MWF 8:00a-9:00a | Section Link |
| 102 | Tai-Peng Tsai | Leonard S. Klinck (CSCI) 200 | MWF 9:00a-10:00a | Section Link |
| 103 | Theodore Kolokolnikov | Leonard S. Klinck (CSCI) 200 | MWF 1:00p-2:00p | Section Link |
| 104 | Mingfeng Zhao | BUCH A103 | MWF 1:00p-2:00p | Section Link |
Resources:
Calendar description:
MATH 215: First-order equations; linear equations; linear systems; Laplace transforms; numerical methods; trajectory analysis of plane nonlinear systems. Applications of these topics will be emphasized.