MAT 3331 Section 6578 Differential Equations
Spring 2005
Instructor:
Dr. Haiyan Wang
Office: MCS 237
Email: hwang@uca.edu
Phone: 450-5652
Class meeting times and location: 1:00 to 1:50 MWF, MCS 220
Text: Differential Equations with Boundary Value Problems, 5th Ed., Zill and Cullen
P
P
Office hours: MTWTHF 11:00:00-11:50, T 10:00-11:00 (or by appointment)
Calculator: TI 92 or Voyage 200 is required for the course.
Prerequisite: Math 1592 Calculus II
Course Objectives: The course is an introduction to the study of ordinary differential
equations and their applications. You will learn fundamental techniques of solving
ordinary differential equations and their applications.
Attendance: Regular attendance and participation are extremely important.
If you have more than %10 absences, without a valid excuse, you may be dropped from
the course.
Grading: Your final grade for this course will be based on the percentage of points
obtained out of the total possible 700 points.
Homework
120
Computer assignments
3 in-class tests
Class participation
Comprehensive final exam
50
300
30
200
90-100%
A
80-89%
70-79%
60-69%
Below 60%
B
C
D
E
Tentative test dates: February 18, March 25, April 22, Final: May 4.
Homework: Your homework will be assigned every class and collect Friday’s. Late
homework will not be accepted. If you can not take an exam for extreme reasons, contact
the instructor as soon as possible.
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Course Outline (tentative):
1.
Introduction to differential equations
Section 1.1 Definitions and Terminology
Section 1.2 Initial-Value Problems
Section 1.3 Differential Equations as Mathematical Models
2. First-order differential equations
Section 2.1 Solutions Curves without the Solution
Section 2.2 Separable Variables
Section 2.3 Linear Equations
Section 2.4 Exact Equations
Section 2.5 Solutions by Substitution
3. Modeling with first-order differential equations
Section 3.1 Linear Equations
Section 3.2 Nonlinear Equations
Section 3.3 Systems of Linear and Nonlinear Differential Equations
4. Differential equations of higher order
Section 4.1 Preliminary Theory: Linear Equations
Section 4.2 Reduction of Order
Section 4.3 Homogeneous Linear Equations with Constant Coefficients
Section 4.4 Undetermined Coefficients: Superposition Approach
Section 4.6 Variation of Parameters
Section 4.7 Cauchy-Euler Equation
Section 4.9 Nonlinear Equations
5. Modeling with higher order differential equations
Section 5.1 Linear Equations: Initial-Value Problems
Section 5.2 Linear Equations: Boundary-Value Problems
6. Systems of linear first-order differential equations
Section 8.1 Preliminary Theory
Section 8.2 Homogeneous Linear Systems with Constant Coefficients
Section 8.3 Variation of Parameters
Note: Please familiarize yourself with policies listed in the Student Handbook such as the
sexual harassment policy and the various academic policies. Plagiarism, copying from
others on tests, the use of unauthorized materials on tests, or any other form of academic
misconduct is not tolerated. Penalties for academic misconduct are described in the UCA
Student Handbook and can include grade reduction or expulsion. UCA adheres to the
requirements of the Americans with Disabilities Act. If you need an accommodation
under this Act due to a disability, please contact the UCA Office of Disability Services at
450-3135.
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