M340 - Section 1:  Introduction to Ordinary Differential Equations

Instructor      Ass. Professor Iuliana Oprea,  Weber 123
Office Hours:  M 4:10-5:00PM, TWF 10:00 – 11:00 AM  and by appt., Phone: 491-6751 Office
Email:              juliana@math.colostate.edu; www: http://www.math.colostate.edu/~juliana/M340.html
Class Time and Room:  MWTF 9:00-9:50AM in E 202 Eng

Lab Section: This course is formally split in a lecture and a lab session, which in practice will not be separated. You should register, however, for both lecture (301181) and Lab (308780).

Required Textbook:
William E. Boyce and Richard C. DiPrima, Elementary Differential Equations, Seventh Edition, John Wiley & Sons, Inc., 2001

Course Objectives:
The construction of mathematical models to address real-world problems is one of the most important aspects of each of the branches of science. It is often the case that these mathematical models are formulated in terms of equations involving functions as well as their derivatives, called differential equations. When only one derivative is involved, they are called ordinary differential equations - ODEs. The course will demonstrate the usefulness of ODEs for modelling physical, biological and other phenomena. Complementary mathematical approaches for their solutions will be presented, including analytical methods, graphical analysis and numerical techniques.

Synopsys:
First order equations, mathematical models, linear equations of second order, the Laplace Transform, linear systems of arbitrary order and matrices, nonlinear systems and phase plane analysis, numerical methods. We will be covering roughly chapter 1,2,3,6,7,9.

Homework:
Homework is collected at the beginning of every Wednesday lecture and is returned the next lecture. Late homework is not accepted.  Each homework you hand in should have a header at the top of the first page with your name, the date you hand in the homework, and the number of the homework (e.g. Homework 1 etc).

Examinations:
There will be three Mid-term in-class exams: September 23, October 21 and November 18,  and a Final Exam.