Instructor: **Ron
Buckmire** Class: MWF 8:30-9:25am, Fowler North 4 Office:
Fowler North Academic Office #14 Office
Hours: MWF 9:30-11:30, TR 10:00-11:30 Email: **ron@oxy.edu**
AIM: **Buckmire2536, ProfBuckmire** or **MadProfessah**
The official version
of the syllabus is on this page. A pdf version of the course syllabus
is also available.
Make sure to check the **course
news/announcements** page often.
Use the navigation bar at the top of each page to access the course materials on
this site. **Textbook:** *A First Course in Differential Equations,
Eighth Edition * by Dennis G. Zill, Brooks-Cole, 2005.
**Goals
of the Class:** By the end of the class you should be able to: Solve differential
equations analytically; formulate
mathematical models using differential equations; and analyze the solutions in terms of the original model.
More specifically, in this course you will
*
*- solve separable differential equations via integration;
- solve first order linear equations using different methods;
- solve second order, constant-coefficient differential equations
using characteristic functions, undetermined coefficients, and
variation of parameters;
- set up differential equation models for some population dynamics
problems;
- set up second order differential equation models for oscillating
systems;
- sketch solution curves using only the differential equation (no
solution formula, no computer);
- identify steady-state solutions and determine the stability of these
solutions;
- use basic numerical methods to approximate solutions of differential
equations
*
*(This list was adapted from S.L.Weeke's Ordinary
Differential Equations course website at Worcester Polytechnic Institute.)
**Nature
of the Class:** This is a first course in differential equations. I will
expect familiarity and expertise with the concepts found in Differential
and Integral Calculus. Differential Equations is a huge, varied and
fascinating field of study. I will expect students to come to class
prepared so that we can use class time as efficiently as possible to
facilitate learning the course material. We will not be able to
"cover" the entire topic, but we should be able to give you a
significant introduction to some of the most important topics in the
field. Since I am an applied mathematician and this is the first time I am
teaching the course, the style of the course will be skewed towards
practical application of the material, and not very theoretical in nature.
However, this is a 300-level math class and I will expect a corresponding
level of mathematical rigor and student responsibility.
**Format
of the Class: **As usual, I will expect a lot of participation in class and will facilitate this through the
use of daily class formats (worksheets), group work, in-class computer
exercises, abbreviated lectures and online communication. Mathematics is best learned by doing mathematics, so be prepared to work!
**Grades: **The final course grade will be composed of the following:
- Homework
**25%**
- Two (2) Tests
** 20%** (10 % each)
- Quizzes
** 25%**
- Final Exam
** 20%**
- Participation
** 10%** |