General Information
01:640:244 Differential Equations for Engineering and Physics (4)
First- and second-order ordinary differential equations; introduction to linear algebra and to systems of ordinary differential equations.
Prerequisite: CALC3. Credit restriction CR4.
Textbook: For current textbook please refer to our Master Textbook List page
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Approximate Syllabus, Math 244
All section numbers refer to Boyce and DiPrima, Elementary Differential Equations, 10th edition.
(ISBN: 9781119917748)
NOTE: This is a suggested syllabus, which individual instructors may revise.
| Lecture | Sections Covered | Assignments (Reading, MATLAB) | Lecture | Sections Covered | Assignments (Reading, MATLAB) | |
|---|---|---|---|---|---|---|
| 1 | 1.1, 1.2, 1.3 | Reading: 2.3 MATLAB 0 (optional) |
15 | 3.8 | ||
| 2 | 2.1 | 16 | 4.1, 7.1 | Read 4.2, 4.3, 4.4 | ||
| 3 | 2.2 | 17 | 7.2, 7.3 | |||
| 4 | 2.4, 2.8 | 18 | 7.3, 7.4 | |||
| 5 | 2.5, 2.6 | MATLAB 1 | 19 | 7.7, 7.9 | ||
| 6 | 2.7, 8.1 | 20 | 7.5, 7.6 | MATLAB 4 | ||
| 7 | 2.9 (After Ex. 1, to end) 8.2, 8.3 |
21 | 7.6, 7.8 | |||
| 8 | 3.1, 3.2 | 22 | EXAM 2: through 7.6 | |||
| 9 | 3.2,3.3 | MATLAB 2 | 23 | 9.1 (includes Fig. 9.1.9) | ||
| 10 | 3.3, 3.4 | 24 | 9.2, 9.3 | MATLAB 5 | ||
| 11 | EXAM 1: through 3.2 | 25 | 9.4, 9.5 | |||
| 12 | 5.4 to p. 274; 5.2 | Read 5.1, 5.3 | 26 | 9.7 | ||
| 13 | 3.5, 3.6 | 27 | 9.8 | |||
| 14 | 3.7 | MATLAB 3 | 28 | Review, Catch-up |
Suggested Homework Assignments
MATH 244 All section numbers refer to Boyce and DiPrima, Elementary Differential Equations, 10th edition.
NOTE: Individual instructors may choose to prepare different assignments.
| Section | Problems | Section | Problems |
|---|---|---|---|
| Chapter 1 | Chapter 5 | ||
| 1.1 | 1, 2, 5 | 5.1 | 1, 6, 8, 9, 14, 18 |
| 1.2 | 1, 2, 7, 9, 12, 13 | 5.2 | 2, 6, 12, 15, 18 |
| 1.3 | 1, 3, 4, 6, 8, 13, 18 | 5.3 | 1, 3, 7, 8, 12, 16 |
| Chapter 2 | 5.4 | 2, 9, 15, 35 | |
| 2.1 | 2, 8, 13, 22 | Chapter 7 | |
| 2.2 | 3, 8, 9, 17 | 7.1 | 4, 5, 6, 7 |
| 2.3 | 7, 8, 13, 14, 16, 20, 23, 27, 29, 30 | 7.2 | 2, 3, 4, 8, 11, 22, 26 |
| 2.4 | 1, 7, 15, 18 | 7.3 | 2, 3, 7, 11, 14, 16, 22 |
| 2.5 | 2, 7, 9, 22 | 7.4 | 4, 6 |
| 2.6 | 2, 3, 5, 8, 9, 14, 19, 26 | 7.5 | 3, 12, 16, 17, 19 |
| 2.7 | 2 | 7.6 | 3, 8, 9, 13 |
| 2.9 | 14, 16, 19 | 7.8 | 3, 8 |
| Chapter 3 | Chapter 8 | ||
| 3.1 | 3, 6, 10, 16, 18, 21 | 8.1 | 8, 16, 19 |
| 3.2 | 2, 6, 7, 11, 13, 24,29,33 | 8.2 | 2, 7 |
| 3.3 | 1, 4, 7, 16, 17, 22, 24 | 8.3 | 2, 7 |
| 3.4 | 2, 7, 11, 14, 15, 19, 23 | Chapter 9 | |
| 3.5 | 4, 10, 17, 20, 25 | 9.1 | 1, 2, 13, 18 |
| 3.6 | 1, 7, 15 | 9.2 | 2, 8 |
| 3.7 | 1, 4, 5, 8, 15, 19 | 9.3 | 4, 13, 16 |
| 3.8 | 2, 5, 7, 11 | 9.4 | 5, 8 |
| Chapter 4 | 9.5 | 1, 6, 14 | |
| 4.1 | 1, 6, 7, 13, 17, 20, 21 | 9.7 | 1,5 |
| 4.2 | 2, 10, 11, 19, 23, 28 | 9.8 | 1,4,5,9 |
| 4.3 | 3, 9, 12, 17 | ||
| 4.4 | 2,3,4 | ||
The corresponding problems in the 11th edition of Boyce and Diprima, Elementary Differential Equations are below.
| Section | Problems | Section | Problems |
|---|---|---|---|
| Chapter 1 | Chapter 5 | ||
| 1.1 | 1, 2, 4 | 5.1 | 1, 4, 5, 7, 12, 15 |
| 1.2 | 1, 2, 7, 9, 10, 11 | 5.2 | 3, 6, 9, 12, 14 |
| 1.3 | 1, 3, 4, 6, 9, 13 | 5.3 | 1, 2, 6, 10, 13 |
| Chapter 2 | 5.4 | 2, 7, 11, 24 | |
| 2.1 | 2, 6, 9, 14 | Chapter 7 | |
| 2.2 | 2, 6, 9, 15 | 7.1 | 3, 4, 5, 6 |
| 2.3 | 5, 6, 9, 10, 12, 16, 17, 21, 22, 23 | 7.2 | 2, 3, 4, 7, 9, 17, 20 |
| 2.4 | 1, 6, 11, 13 | 7.3 | 2, 3, 6, 9, 12, 14, 18 |
| 2.5 | 1, 5, 6, 21 | 7.4 | 10, 12 |
| 2.6 | 2, 3, 4, 6, 10, 15, 19 | 7.5 | 3, 8, 11, 12, 13 |
| 2.7 | 2 | 7.6 | 2, 6, 7, 11 |
| 2.9 | 10, 12, 15 | 7.8 | 3, 7 |
| Chapter 3 | Chapter 8 | ||
| 3.1 | 3, 5, 8, 12, 13, 16 | 8.1 | 9, 14, 16 |
| 3.2 | 2, 5, 6, 9, 10, 19, 23, 26 | 8.2 | 2, 7 |
| 3.3 | 1, 3, 5, 11, 12, 15, 17 | 8.3 | 2, 7 |
| 3.4 | 2, 6, 9, 11, 12, 14, 18 | Chapter 9 | |
| 3.5 | 3, 7, 13, 15, 19 | 9.1 | 1, 2, 11, 15 |
| 3.6 | 1, 7, 12 | 9.2 | 2, 7 |
| 3.7 | 1, 2, 4, 7, 10, 13 | 9.3 | 3, 13, 15 |
| 3.8 | 1, 4, 5, 7 | 9.4 | 3,6 |
| Chapter 4 | 9.5 | 1, 6, 14 | |
| 4.1 | 1, 4, 5, 9, 12, 15, 16 | 9.7 | 1,5 |
| 4.2 | 2, 7, 8, 14, 17, 19 | 9.8 | 1,4,5,9 |
| 4.3 | 3, 7, 9, 12 | ||
| 4.4 | 2,3,4 | ||
This selection of problems was prepared by Professor E. R. Speer in 2009, and slightly modified, based on the 10th edition, by M. Kiessling in Fall 2015. This list was updated to include the 11th edition by M. Charnley in Spring 2021.
MATLAB in Math 244
Math 244 uses MATLAB assignments to given an opportunity for students to explore the computational side of differential equations and see how MATLAB can be used to solve and visualize these equations. Assignments and due dates will be decided by individual instructors. In order to complete the assignments, students will need the supplemental MATLAB functions as well as the format files provided here.
In general, it is assumed that students in the Engineering major will already have some exposure to MATLAB before this class, both in their major classes and in Math 251. If a refresher is needed on this material, you can consult the webpage here or discuss it with your instructor. There are also details provided for these particular lab assignments on the webpage here. It may also be helpful to complete the Lab 0 assignment here to get practice on some of the basics needed to complete these assignments. The MATLAB documentation for any method you want to use (which will come up if you Google it) is also very good once you get a handle on the basic syntax of MATLAB.
- Supplemental Files (zip file containing 4 MATLAB functions)
- Lab 1: Sample Assignment, Format File, and Grading Rubric.
- Lab 2: Sample Assignment, Format File, and Grading Rubric.
- Lab 3: Sample Assignment, Format File, and Grading Rubric.
- Lab 4: Sample Assignment, Format File, and Grading Rubric.
- Lab 5: Sample Assignment, Format File, and Grading Rubric.
NOTES:
- Individual instructors may assign the MATLAB assignments at differing dates throughout the semester.
- It is suggested that MATLAB assignments be collected two weeks after they are assigned.
Schedule of Sections:
