Credit: 4
Catalog description: First order equations and various applications. Higher order linear differential equations. Power series solutions. The Laplace transform. Solutions of initial value problems. Systems of linear differential equations. Introduction to partial differential equations.
Course Objectives: The objectives of this course are to introduce the student with the concept of a differential equation, basic techniques for solving certain classes of differential equations, especially those which are linear, and making connections between the qualitative features of the equation and the solutions. Connections to problems from the physical world are emphasized. As well as ordinary differential equations, the course aims to introduce the student to certain partial differential equations.
Course Coordinator: Bülent Karasözen (S-131) bulent _at_ metu.edu.tr
Exams and Grading:- Exam 1: 30 % (tentative date: November 5th, 2009, Thursday, 17:40-19:30)
- Exam 2: 30 % (tentative date: December 10th, 2009, Thursday, 17:40-19:30)
- Final: 40 % (to be announced by the administration)
- Bonus: 10 % (the method to be decided by each instructor)
Textbook: Elementary Differential Equations and Boundary Value Problems, W.E. Boyce and R.C. DiPrima, 8th ed. (available at the bookstore)
Reference Books:
- J. Polking, et. al., Differential Equations, Prentice-Hall, 2006.
- S.L. Ross, Differential Equations, 3rd ed., John Wiley and sons, New York.
- E. Kreyszig, Advanced Engineering Mathematics, 9th ed., Ohio State University.
- V. Smirnov, A Course of Higher Mathematics, vol I-II, Addison-Wesley Publ. 1964 (chapters 1-2).
- E. Akyildiz, et. al., Lectures on Differential Equations, 1999 Publications of the Turkish Mathematical Foundation.
Suggested Problems: A list of suggested problems will be given in the beginning of the semester. Each exam will contain at least one problem directly from this list, so students are encouraged to attempt to solve all of these problems, and ask the instructors about the ones that they cannot solve.
Study Sessions: The graduate math assistants will hold weekly MAT 219 study sessions on Sunday from 17:00 to 20:00 in the library. Students are strongly encouraged to attend study sessions and ask questions about suggested problems which they cannot solve.
Make-up Policy: In order to be eligible to enter a make-up examination for a missed examination, a student should have a documented or verifiable, and officially acceptable excuse. A student cannot get make-up examinations for two missed exams. The make-up examination for all exams will be after the final exam, and will include all topics.
| Section 1 | Mon: 13:40-15:30 (S-103) Wed: 13:40-15:30 (S-103) |
| Section 2 | Mon: 13:40-15:30 (S-104) Wed: 13:40-15:30 (S-104) |
| Section 3 | Mon: 13:40-15:30 (S-105) Wed: 13:40-15:30 (S-105) |
| Section 4 | Mon: 13:40-15:30 (S-106) Wed: 13:40-15:30 (S-106) |
| Section 5 | Tue: 8:40-10:30 (S-106) Thu: 10:40-12:30 (S-106) |