Chuck Iverson (http://www.civerson.com, iverson@smccd.edu)
Building 22, Room 118
9:45-11:00 am TTh
Prerequisites
Physics 250 and Math 252, both with a grade of C or better.
Materials
- Differential Equations (2nd Edition) by Polking, Boggess and Arnold (ISBN: 0-13-143738-0)
Grading
Your grade will be based on:
- Homework and Exercises (30%)
- Exams and Quizzes (70%)
Course Description
One motivation in the development of Calculus was to express the fundamental principles that govern many phenomena in our everyday lives in the language of differential equations. The resulting equations involve rates of change and can be used to predict the future behavior of physical, biological, economic and other systems. This course focuses on the formulation of differential equations and the interpretation of their solutions. Solutions are analyzed from three different points of view: qualitatively (by the use of slope fields, graphs, vector fields, phase planes), numerically (using spreadsheets, calculators and various computer programs), and analytically (finding explicit solutions when possible).
Homework
Reading the textbook and doing the assigned exercises are the most important work students can do between classes to insure understanding of concepts and to develop skill in applying problem solving techniques. Consequently, exercises and labs are collected and contribute 30% to the final grade. Late assignments get a maximum of half credit. Each set of exercises or problems must have the following information printed at the top, right corner of the page: student name, section number, page numbers, exercise numbers and date. For example:
- Your Name
- Section 1.5
- pp. 57-59 (1-29, odd)
- 9/25/08
Exams
Frequent quizzes, two midterm exams and a final exam on the last three chapters will be given during the semester. Each midterm exam will cover two chapters. The final exam will cover three chapters. You may have one sheet of notes for each chapter covered. See the tentative schedule below for the dates of the exams.
Make-Up Exams
A make-up exam will be offered to any student who scores less than his or her homework average on a particular exam. Before taking a make-up exam, a student must meet with me to review his or her original exam. A make-up exam score will be limited to a student's current homework average. A make-up exam score will replace an original exam score only if the make-up exam score is higher.
Expectations
I can help you succeed in this class, but I can't succeed for you. In this class you're expected to be responsible for your own academic success.
- That means you are expected to attend class and to arrive on time (2 lates equals 1 absence, 7 absences leads to a drop).
- If you're going to miss class, you should notify me ahead of time, either by phone or email.
- You are expected to contribute to class discussions and to ask questions when something is not clear.
- You are expected to do your homework assignments before the class when they are due and to seek help from me or your classmates or Nancy Ward if you are having difficulty completing them.
- You should check WebAccess (http://smccd.mrooms.net/) for assignments and class notes if you miss class.
- You are expected to see me during office hours for additional help or to take make-up exams.
All class assignments, exam solutions and special notes will be posted on the web after class (with links on WebAccess). You are invited to share questions, answers, ideas, opinions, and suggestions by posting them on WebAccess.
Instructor's Fall 2008 Class Schedule
My class schedule, below, shows when and where I'm on campus. The best way to contact me if I'm not on campus is via email. I check my email several times a day. I have my email automatically sorted by the first 4 characters in the subject field. For this class, the subject line of the email should begin with M275.

Tentative Topic Schedule
| Tuesday | Thursday |
|---|---|
| 8/19 - 1.1 DE Models 1.2 Derivatives 1.3 Integration |
8/21 - 2.1 DE Solutions 2.2 Separable Equations |
| 8/26 - 2.3 Models of Motiion | 8/28 - 2.4 Linear Equations |
| 9/2 - 2.5 Mixing Problems | 9/5 - 2.6 Exact DEs |
| 9/9 - 2.7 Solution Existence and Uniqueness 2.8 Initial Conditions |
9/11 - 2.9 Autonomous Equations and Stability |
| 9/16 - 3.1 Modeling Population Growth 3.2 Models and the Real World |
9/18 - 3.3 Personal Finance 3.4 Electrical Circuits |
| 9/23 - Chapter 1-3 Review | 9/25 - Chapter 1-3 Exam |
| 9/30 - 4.1 Definitions and Examples 4.2 Second-Order Equations and Systems |
10/2 - 4.3 Linear, Homogeneous Equations with Constant Coefficients 4.4 Harmonic Motion |
| 10/7 - 4.5 Undetermined Coefficients | 10/9 - 4.6 Variation of Parameters |
| 10/14 - 4.7 Forced Harmonic Motion | 10/16 - 5.1 Laplace Transform Definition 5.2 Properties of Laplace Transforms |
| 10/21 - 5.3 Inverse Laplace Transforms 5.4 Solving DEs with Laplace Transforms |
10/23 - 5.5 Discontinuous Forcing Terms |
| 10/28 - 5.6 Delta Functions |
10/30 - 5.7 Convolutions 5.8 Summary |
| 11/4 - Chapter 4-5 Review | 11/6 - Chapter 4-5 Exam |
| 11/11 - 11.1 Power Series | 11/13 - 11.2 Power Series |
| 11/18 - 8.1 Definitions and Examples 8.2 Geometric Interpretation of Solutions |
11/20 - 8.3 Qualitative Analysis 8.4 Linear Systems |
| 11/25 - 8.5 Properties of Linear Systems | 11/27 - Thanksgiving Holiday |
| 12/2 - 9.1 Overview of the Technique |
12/5 - 9.2 Planar Systems |
| 12/9 - 9.3 Phase-Plane Portraits | 12/11 - 9.4 The Trace-Determinant Plane |
| 12/18 - 11:10-1:40 Exam on Chapters 8, 9, 11 |