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Course syllabus (pdf)

Frequency: Fall/Spring Terms

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.

Justification for the Course Proposal: This is a fundamental course designed for all science and engineering students.

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: Anar Dosiev       (office: SZ-33, phone: x2943, email: dosiev_at_metu.edu.tr)

Exams and Grading: Course grades are determined by two (non-cumulative) midterm exams, and a cumulative final exam, as well as classroom activity (homeworks, quizzes, class participation, and/or project completion to be determined by instructors) and a small number of bonus points. Policies for activity and bonus point award will vary between sections.

• Exam 1: 25 % (Saturday, November ??)
• Exam 2: 25 % (Saturday, December ??)
• Final Exam: 40 %
• Activity: 10 % (homeworks, quizzes, participation, projects, ...)
• Bonus: 5 % (policy varies between sections)

Suggested Problems: A list of suggested problems for each lecture will be announced on the course website. It is essential for the students to solve these problems regularly to get enough practice and test their understanding; however solutions will not be collected or graded.

Course Website: /math219
(You are responsible for regularly checking the course web page for updates and announcements.)

Textbook: Elementary Differential Equations and Boundary Value Problems, Boyce, W. E., DiPrima, R. C., 9^th ed. (available at the bookstore)

Reference Books:

• Ross, S. L. Differential Equations, 3rd ed., John Wiley and sons, New York.
• Elsgolts, L. Differential equations and the calculus of variations. Mir, Moscow, 1973.
• Arnold, V. Ordinary differential equations, MIT Press, 1998.

Make-up Policy: In order to be eligible to enter the make-up examination for a missed examination, a student should have a documented or verifiable and officially acceptable excuse. It is not possible to make up multiple missed exams. The make-up examination for all exams will be after the final exam, and will include all topics.

Math Help Room: The mathematics help room in T-103 is a room staffed by mathematics faculty and teaching assistants where students may gather to ask questions, work on homework, and view exams. This semester, we are experimenting with the help room as a replacement for formal office hours; however students are still invited to seek out instructors in their offices if they wish.

Lectures

Section 1 (MECH)	Tue. 8:40-10:30 Thu: 8:40-10:30	S-103
Section 2 (CVE)	Wed. 15:40-17:30 Fri: 8:40-10:30	S-103
Section 3 (PNGE)	Mon. 10:40-12:30 Thu: 10:40-12:30	S-103
Section 4 (EEE)	Mon. 13:40-15:30 Wed: 13:40-15:30	S-103
Section 5 (CNG)	Tue. 10:40-12:30 Thu: 13:40-15:30	S-103