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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. 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: Benjamin Walter

Exams and Grading: Course grades are determined by homework, two (non-cumulative) midterm exams, and a cumulative final exam as well as a small number of bonus points. Policies for bonus point awards may vary between sections.

• Homework: 20 %
• Midterm Exams: 2x 25 % = 50 %
• Final Exam: 30 %
• Bonus: 5 % (policy varies between sections)

Homework: There will be 4 online homeworks and 3 written homeworks. The online homeworks are assigned and graded using the WeBWork system. The written homeworks are on mechanical/electrical vibrations, phase portraits, and Fourier series. All written homeworks involve in-depth usage of MATLAB.

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.

Lectures

S1 - E. Gurel	Mon 10:40-12:30 Thu 10:40-12:30	TZ-21
S2 - E. Gurel	Wed 10:40-12:30 Fri 10:40-12:30	TZ-21
S3 - I. Unal	Wed 15:40-17:30 Fri 8:40-10:30	TZ-21
S4 - B. Walter	Mon 13:40-15:30 Wed 13:40-15:30	TZ-21
S5 - B. Walter	Tue 8:40-10:30 Thu 8:40-10:30	TZ-21