Math 242 (Section 007), Elementary Differential Equations, Credits: 3.
Prerequisite: Qualification through placement or a grade C or better
in Math 142
Lecture times: Tu,Th 2:50pm-4:05pm
Location: Petigru College 213
| Week | Dates | Tuesday | Thursday |
|---|---|---|---|
| 1 | Jan. 8--Jan. 12 | Lecture 1 | Lecture 2 |
| 2 | Jan. 15--Jan. 19 | Lecture 3 | Lecture 4 |
| 3 | Jan. 22--Jan. 26 | Lecture 5 | Lecture 6 |
| 4 | Jan. 29--Feb. 2 | Lecture 7 | Lecture 8 |
| 5 | Feb. 5--Feb. 9 | Lecture 9 | Lecture 10 |
| 6 | Feb. 12--Feb. 16 | Lecture 11 | Exam 1 |
| 7 | Feb. 19--Feb. 23 | Lecture 12 | Lecture 13 |
| 8 | Feb. 26--Mar. 1 | Lecture 14 | Lecture 15 |
| 9 | Mar. 4--Mar. 8 | Spring Break | |
| 10 | Mar. 11--Mar. 15 | Lecture 16 | Lecture 17 |
| 11 | Mar. 18--Mar. 22 | Lecture 18 | Lecture 19 |
| 12 | Mar. 25--Mar. 29 | Lecture 20 | Lecture 21 |
| 13 | Apr. 1--Apr. 5 | Lecture 22 | Exam 2 |
| 14 | Apr. 8--Apr. 12 | Lecture 23 | Lecture 24 |
| 15 | Apr. 15--Apr. 19 | Lecture 25 | Lecture 26 |
| Final Exam: April 25, 2024 (Thursday), 4:00pm-6:30pm | |||
| Lectures | Content |
|---|---|
| Lectures 1-8 | First-order differential equations (Chapter 1, 1.1-1.6) |
| Lectures 9-12 | Mathematical Models and Numerical Methods (Chapter 2, 2.1-2.4) |
| Lectures 13-18 | Linear equations of higher order (Chapter 3, 3.1-3.5) |
| Lectures 19-24 | Laplace transform methods (Chapter 7, 7.1-7.4) |
| Lectures 25-26 | Systems of differential equations (Chapter 4, 4.1-4.2) |
Course grades will be determined from student performance on exams and quizzes. There will be weekly 10-15 minutes quizzes and three exams: two 75 minutes in-class exams and a final exam. The two lowest quiz scores will be dropped and no make-up quizzes will be given. The two in-class exams, which are indicated on the syllabus above, will be given during the time normally used for lecture. Each of these exams will test only the material covered since the previous exam. In contrast the final exam, which will be given during the week of final exams, will be a cummulative exam. Reason for missing an exam must be properly documented and any missed exam must be made up within a week in general. Homework will be assigned on a daily basis and should be done before the next class. Althought not collected, these homework assignments are an essential part of the course for learning and understanding the course material. They should be thought of as required for success in the course. The grades for the course are determined as follows:
| Exam 1 | 25% | Exam 2 | 25% | Final Exam | 30% | Quizzes | 20% | Total | 100% |
| 90-100: A | 86-89: B+ | 80-85: B | 76-79: C+ | 70-75: C | 66-69: D+ | 60-65: D | <60: F |
| Section |
Problems |
|---|---|
| Section 1.1 | # 2, 3, 7, 10, 17, 22, 27, 28, 32, 43 |
| Section 1.2 | # 1, 2, 5, 8, 10, 11, 13, 16, 25, 28 |
| Section 1.3 | # 1, 2, 5, 11, 12, 13, 14, 18, 19, 25 |
| Section 1.4 | # 3, 4, 6, 9, 12, 17, 19, 21, 24, 25, 27, 36, 43 |
| Section 1.5 | # 1, 3, 4, 6, 11, 17, 19, 21, 24, 30, 33, 34 |
| Section 1.6 | # 2, 4, 7, 12, 16, 17, 22, 26, 31, 36, 40 |
| Section 2.1 | # 1, 3, 6, 8, 9, 15, 16, 19 |
| Section 2.2 | # 1, 3, 4, 6, 7, 10 |
| Section 2.3 | # 1, 2, 3, 7, 9 |
| Exam 1: §1.1-2.3 | |
| Section 2.4 | # 1, 4, 6, 8 |
| Section 3.1 | # 1, 4, 6, 9, 12, 20, 22, 25, 33, 38, 39, 40 |
| Section 3.2 | # 1, 4, 7, 8, 10, 13, 17, 19, 21, 24 |
| Section 3.3 | # 1, 2, 4, 8, 11, 14, 15, 21, 24, 26, 33 |
| Section 3.4 | # 1, 2, 3 |
| Section 3.5 | # 1, 2, 3, 5, 7, 9, 11, 12, 13, 17 |
| Section 7.1 | # 3, 4, 6, 8, 11, 14, 15, 18, 19, 20, 24, 26, 28, 30 |
| Section 7.2 | # 1, 2, 3, 5, 8, 17, 19, 20, 21, 28 |
| Section 7.3 | # 1, 3, 5, 7, 8, 11, 13, 15, 27, 28, 29 |
| Exam 2: §2.4-3.5, §7.1-7.3 | |
| Section 7.4 | # 2, 3, 4, 7, 8, 11, 15, 16, 19, 23, 25, 29 |
| Section 4.1 | # 1, 6, 8, 11, 15, 17, 19, 23, 26 |
| Section 4.2 | # 2, 3, 6, 9, 12 |