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. 1 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. 2