**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.

**Grading:**

Graded Homework, quizzes: 2 parts; Three Hourly Exams: 3
parts; Final Exam: 2parts. Grades will
be published on WebCT.

Computer use**:**

Some of the Tuesday class sessions will take place in the computer lab
in Weber 205. The dates in question will be announced in advance in the
lecture.

Tutoring:

free tutoring for M340 is available at http://www.colostate.edu/Depts/NatSci/html/Tutorial.html