MATH 3123.01 Differential Equations Spring 2015

MATH 3123.01 Differential Equations Spring 2015
Day and Time: T-TH 2:30PM -3:50PM , Room: MCL 714
Instructor: Dr. Ellina Grigorieva, Professor of Mathematics. Office: MCL 423,
Phone: (940) 898-2452, e-mail: [email protected]
Office Hours: Tuesday and Thursday: 1PM-2PM and 5PM-6PM
Text: A
Course in Ordinary Differential Equations
Author:
ISBN:
Randall J. Swift
9781584884767
CRC press
1. Course Study: first-order linear equations, separable equations, exact equations, secondorder linear equations, nonhomogeneous equations, systems of first-order linear equations,
systems of nonlinear equations, modeling and applications.
Prerequisite: Calculus 1 (MATH 2014), Matrix Methods or Linear Algebra
2. Learning Objectives
The student should:
a. Be able to recognize, classify and solve various types of ordinary differential equations.
b. Be familiar with terminology such as constant coefficients, linear operators, auxiliary
polynomials, particular and complementary solutions.
c. Understand the relationship of differential equations and initial conditions to physical
problems in engineering, physics and other applied areas.
d. Be able to formulate, solve and analyze the results of mathematical models of elementary physical
problems.
e. Be able to solve and analyze systems of linear first order differential equations and use them in
selected applications.
, the Rossler attractor with a=0.4, b=2, and c=4 can be drawn with the use of MAPLE 5.
 x   y  z

 y  x  ay
 z  b  z( x  c )

> DEplot3d({D(x)(t)=-y-z,D(y)(t)=x+0.4*y,D(z)(t)=2+z*(x4)},{x(t),y(t),z(t)},t=200..300,[[x(0)=0.1,y(0)=0.1,z(0)=0.1]],scene=[x(t),y(
t),z(t)],stepsize=0.05, linecolour=blue);
3. Additional materials
Differential Equations with Boundary Value Problems by Bruce P. Conrad. (2003 Prentice Hall).
For Maple 5 lab students are recommended to buy Maple Lab Manual: Introductory Differential
Equations From linearity to Chaos by Kostelich and Armbruster (Addison-Wesley).
 A calculator TI 83 Plus (TI 83) is optional for this class
 We will use MAPLE package to do some problems
.
4. Minimum Student Materials
Paper, pencils, and notebook.
5. Methods of Assessment
Homework assignments, tests, classroom participation and a comprehensive final examination.
Tests: There will be 3 major tests, a project, and a comprehensive final exam, 100 points each. There will be a
few pop quizzes over the homework (the homework is not handed in).
Tentative schedule: February 10, March 10, April 14
Grades: There are will be 400 point possible. The grading scale is:
360-400=A
320-359=B
280-319=C
240-279=D
0-239=F
Class procedure: First, I will answer questions over previous material for 30-45minutes. Also I may ask some
students to go to the board to solve HW problems for a grade. During the remaining time, I will introduce the
new material. We will have Maple lab at least once in two weeks. However, you can do many HW problems
using Maple at home or working on TWU computer where Maple 5 is available.
Attendance: Students who regularly attend class generally have a better understanding of course
material, which is reflected by higher exam scores. In addition, your attendance record could be the determining
factor in your final course grade if your grade is on borderline. Whether you are present or not you are fully
responsible for all deadlines and material taught or assigned.
Note: Since communications between students and their instructors is crucial in any learning process,
you are always welcome to discuss our coursework with me. My main duty here is to serve
you. In order to best serve you, I welcome and encourage your comments and suggestions. It
is my belief that through our joint effort we can make this course both beneficial and
enjoyable.
Academic Dishonesty
Honesty in completing assignments is essential to the mission of the university and to the
development of the personal integrity of the student. Cheating, plagiarism, or other kinds of
academic dishonesty will not be tolerated and will result in appropriate sanctions that may
include failing an assignment, failing the class, or being suspended or expelled. Suspected
cases in this course may be reported to Student Life. The specific disciplinary process for
academic dishonesty is found in the TWU Student Handbook. Tools to help you avoid
plagiarism are available through the TWU Libraries at
http://www.twu.edu/library/tutorial/plagiarism/player.html.
Students with Disabilities
If you anticipate the need for reasonable accommodations to meet the requirements of this
course, you must register with the office of Disability Support Services (CFO 106, 940-8983835, [email protected] ) in order to obtain the required official notification of your
accommodation needs. Please plan to meet with me by appointment or during office hours
to discuss approved accommodations and how my course requirements and activities may
impact your ability to fully participate.

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