國立清華大學數學系
微分方程
Math 3010-00 (Fall 2023)
Differential Equations
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Instructor: 陳國璋 Kuo-Chang Chen |
Office: 綜三 609 |
Textbook
W. Boyce, R. DiPrima, D. Meade: Elementary Differential Equations and Boundary Value Problems, 12th ed., John Wiley & Sons, 2022
References
M. Hirsch, S. Smale, R. Devaney: Differential Equations, Dynamical Systems,
and an Introduction to Chaos, Elsevier Academic Press, 2004.
S.B. Hsu, K.C. Chen: Ordinary Differential Equations With Applications, 3rd ed., World Scientific, 2022.
Course Description
This course is an introduction to the theory of differential equations intended for second or third year undergraduate students majoring in mathematics. Our aim is to introduce basic concepts, techniques, and applications of first and second order linear equations. Some methods for nonlinear equations and higher order systems will be briefly outlined.
Topics to be covered include:
1. First order differential equations 2. Second order linear differential equations 3. Higher order linear differential equations 4. Series solutions 5. Laplace transforms 6. Nonlinear equations and stability 7. Boundary value problem Syllabus Click
HERE for details. Note that this is a 3-credit course, so in average there will be
3 hours of classes every week. Among the 4 scheduled class hours (M1M2R1R2), one is reserved for
recitation (discussion) sessions, instructed by teaching assistants.
Attendance Students are expected to attend every scheduled class. It is the student's responsibility to keep informed of any announcements, syllabus adjustments or policy changes made during scheduled classes. Grading Homework/Quizzes: Selected exercises from the textbook will be assigned. Click HERE for details. Quizzes will be taken place
during recitations, and will be based on homework assignments. Further details will be available during the first week of classes. Absence from exams You should miss an exam only for the most compelling reasons and you should obtain permission in advance (except in some extraordinary circumstances). If you miss an exam for legitimate reasons, then it will be weighted to other exams. There will be no make-up exam.
Three exams: Dates of tests are on October 30 (Monday), November 30 (Thursday),
and January 8 (Monday).
There are two ways to count your course grades, the higher one applies:
(1) Quizzes, Midterm 1, Midterm 2, Final exam, each worth 1/4 of course grade.
(2) Midterm 1, Midterm 2, Final exam, each worth 1/3 of course grade.