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.
Course Learning Goals: The specific learning goals for this course can be found on the document here. The last three pages of this document takes the recommended problems listed below and pairs them with the corresponding learning objectives.
Textbook: The current textbook used for this course is Differential Equations: An Introduction for Engineers. This is a freely available textbook that was written to fit the desired structure and sequencing of this course. The PDF version can be found here: https://sites.rutgers.edu/matthew-charnley/course-materials/differential-equations-an-introduction-for-engineers/.
Special Accommodations: Students with disabilities requesting accommodations must follow the procedures outlined at https://ods.rutgers.edu/students/applying-for-services
Academic Integrity: All Rutgers students are expected to be familiar with and abide by the academic integrity policy ( http://academicintegrity.rutgers.edu/academic-integrity-policy). Violations of the policy are taken very seriously.
Approximate Syllabus, Math 244
All section numbers refer to Charnley, Differential Equations: An Introduction for Engineers, version Beta.
NOTE: This is a suggested syllabus, which individual instructors may revise.
| Lecture | Sections Covered | Assignments (Reading, MATLAB) | Lecture | Sections Covered | Assignments (Reading, MATLAB) | |
|---|---|---|---|---|---|---|
| 1 | 0.1, 0.2, 1.1, 1.2 | MATLAB 1 | 15 | Review, 2.7 | MATLAB 5 | |
| 2 | 1.3 | 16 | Exam 2 | |||
| 3 | 1.4 | 17 | 3.1, 3.2 | |||
| 4 | 1.2, 1.5, 1.6 | MATLAB 2 | 18 | 3.3 | ||
| 5 | 1.7 | 19 | 3.4, 3.5 | |||
| 6 | 1.9 | 20 | 3.6 | MATLAB 6 | ||
| 7 | Review | MATLAB 3 | 21 | Review, 4.1, 4.3 | ||
| 8 | Exam 1 | 22 | Exam 3 | |||
| 9 | 2.1 | 23 | 4.4, 4.5 | |||
| 10 | 2.2 | MATLAB 4 | 24 | 4.4, 4.5 | MATLAB 7 | |
| 11 | 2.3 | 25 | 4.6 | |||
| 12 | 2.4 | 26 | 5.1 | |||
| 13 | 2.5 | 27 | 5.2 | MATLAB 8 | ||
| 14 | 2.6 | 28 | 5.3, Review |
Suggested Homework Assignments
All section numbers refer to Charnley, Differential Equations: An Introduction for Engineers, version Beta.
NOTE: Individual instructors may choose to prepare different assignments.
| Section | Problems | Section | Problems |
|---|---|---|---|
| Chapter 0 | Chapter 3 | ||
| 0.1 | 5, 6, 8, 9, 10, 11, 13, 16, 17 | 3.1 | 1, 6, 8, 9, 14, 18 |
| 0.2 | 1, 2, 5, 7, 8 | 3.2 | 2, 6, 12, 15, 18 |
| Chapter 1 | 3.3 | 2, 9, 15, 35 | |
| 1.1 | 2, 4, 5, 7, 8, 10, 14 | 3.4 | 1, 3, 5, 7, 9, 11 |
| 1.2 | 1, 3, 4, 5, 6, 7, 8 | 3.5 | 2, 4, 6, 7, 8, 9, 10, 12, 17 |
| 1.3 | 1, 2, 7, 10, 13, 18, 26, 28, 30 | 3.6 | 1, 2, 4, 6, 10, 12, 13, 15 |
| 1.4 | 5, 6, 7, 8, 11, 13, 16, 18 | 3.7 | 1, 5 |
| 1.5 | 1, 2, 3, 5, 6, 7, 12 | Chapter 4 | |
| 1.6 | 3, 4, 5, 6, 9, 12, 13 | 4.1 | 1, 4, 8, 9, 10, 12, 13, 14 |
| 1.7 | 3, 4, 5, 7, 8, 11, 13 | 4.2 | 4, 6, 8, 9, 11, 14, 20, 22 |
| 1.8 | 2, 3, 5, 6, 7, 8, 9, 10 | 4.3 | 2, 3, 5, 6, 7 |
| 1.9 | 2, 3, 4, 5, 6, 8, 9, 10, 11, 12 | 4.4 | 6, 7, 9, 10, 13, 15, 17, 21, 24, 25, 26 |
| 1.10 | 1, 2, 4, 5, 9, 11, 13 | 4.5 | 4, 5, 6, 7, 8 |
| Chapter 2 | 4.6 | 4, 9, 10, 12, 14 | |
| 2.1 | 4, 5, 6, 9, 11, 12, 15, 16, 19, 20, 22, 24 | 4.7 | 3, 7 |
| 2.2 | 5, 7, 10, 11, 12, 13, 14, 16, 17 | 4.8 | 4, 5, 6, 18 |
| 2.3 | 3, 4, 5, 6, 9, 11, 16, 17, 18, 19, 20, 21, 22 | Chapter 5 | |
| 2.4 | 2, 3, 4, 6, 9, 11, 12 | 5.1 | 3, 4, 5, 6, 8 |
| 2.5 | 3, 4, 5, 7, 8, 9, 11, 13, 14, 19, 22 | 5.2 | 1, 2, 4, 5, 7, 8, 11, 12 |
| 2.6 | 1, 4, 5, 6, 9, 10, 11, 12 | 5.3 | 3, 4, 6, 7, 8, 11, 12, 13 |
| 2.7 | 2, 3, 5, 6, 7, 9, 11, 13, 16, 18, 20, 22 | 5.4 | 1, 2, 3, 4 |
| 5.5 | 1 | ||
This selection of problems was prepared for the previous text (Boyce and Diprima, Elementary Differential Equations) 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, and switched over to the new text in Fall 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 11 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.
- Lab 6: Sample Assignment, Format File, and Grading Rubric.
- Lab 7: Sample Assignment, Format File, and Grading Rubric.
- Lab 8: 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 one week after they are assigned.
Schedule of Sections:
