MATH3270A - Ordinary Differential Equations - 2020/21

Announcement

• Our midterm is scheduled on Oct. 15 online.
• Our midterm is scheduled on Oct. 15 online at the regular lecture time (12:30-1:15). Midterm cover topics from the lecture 1 to lecture 7 (NO physics background is required for the exam). Please join the zoom class 5-10 mins before the lecture time to adjust your camera. Your upper body including shoulder, arm and two hands should be shown in the screen; During the exam, no book and notes are allowed to use; After the exam, you have 10 mins to prepare submission. Please submit all your solution via blackboard. Your camera should still be in function during all your submission process.
• FINAL EXAM IS SWITCHED ONLINE DUE TO THE BREAKOUT OF THE PANDEMIC AND SOME CASES CONFIRMED ON CAMPUS.

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General Information

Lecturer

• Yong Yu
  • Office: LSB214
  • Tel: 39438900
  • Email:
  • Office Hours: By appointment

Teaching Assistant

• Sicheng Liu
  • Office: AB1 614
  • Tel: 39434109
  • Email:
• Xueling Dong
  • Office: AB1 614
  • Tel: 39434109
  • Email:

Time and Venue

• Lecture: We 4:30PM - 6:15PM; Th 12:30PM - 1:15PM
• Tutorial: Th 1:30PM - 2:15PM

Course Description

Ordinary differential equations arise from quantitative description of natural and social phenomena. Topics are: method of explicit solution, linear equations and systems, series solutions, Sturm-Liouville boundary value problems, dynamical systems and stability, applications to mechanics, electrical networks and population of species. Our first lecture will be on Sept. 9 and the last lecture will be on Dec. 3. All courses will be conducted online via zoom. There will be no tutorial on the first week of this term.

Textbooks

• Elementary Differential Equations and Boundary Value Problems (10th Edition by William E. Boyce and Richard C. Diprima)

References

• Paul Blanchard, Robert L. Devaney, Glenn R. Hall, Differential Equations (Preliminary Edition),PWS Publishing, Boston, 1996.
• C.H. Edwards, Jr., David E. Penney, Elementary Dfifferential Equations with Applications (Third Edition), Prentice-Hall, Englewood Cliffs, NJ, 1996.
• R. Kent Nagle and Edward B. Saff, Fundamentals of Differential Equations (Third Edition), Addison Wesley, Reading, MA, 1993.

Assignments

• HW Set 1: P24-26: 1, 2, 3, 4, 5, 6, 19, 20, 29, 30, 31.
• HW Set 2: Hand-in problems: P40-41: 18, 19, 32; P48-50: 12, 29, 30; P76-78: 5, 24, 25, 26, 29; The following problems are ssuggested for practicing. No need to hand in : P121-122: 15, 16, 17, 18, 19.
• HW Set 3 (due on Oct. 5): P60: 3; P66: 27; P88: 7; P89: 15; P90: 17; P94: 26
• HW Set 4 (due on Oct. 16): P144: 15, 21; P155-157: 6, 15, 16, 18, 21, 26, 32, 36, 37; P164-166: 11, 12, 33, 34, 40, 43.
• HW Set 5 (due on Oct. 23): P173-175: 14, 21, 31, 37, 38; P184-185: 2, 8, 9, 18, 20, 25, 27.
• HW Set 6 (due on Oct. 30): P190: 14, 15; P226: 12, 14; P228: 26, 27; P234: 13, 22; P245: 16.
• HW Set 7(due on Nov. 06): P239-240: 3, 6, 13, 17, 18, 20, 21; P263: 2; P281: 39, 40.
• HW Set 8 (due on Nov. 13): P306: 6, 9(a)(b)(c); P315: 16, 18, 20, 24; P333: 8, 10; P334: 34
• HW Set 9 (due on Nov. 20): P325-327: 18, 20, 22, 29, 36, 37; P348: 14; P350: 25; P355: 8, 9, 10, 16, 20.
• HW Set 10 (due on Nov. 27): P395: 4; P406: 29; P407: 31; P438: 19 (this problem is a generalization of our discussion in class from 2D to 3D, please practice to get familiar with the procedure).
• HW Set 11 (due on Dec. 09): P417: 2; 13; P507: 20, 21, 22; P527: 2, 5, 6; P562: 2, 4.

Solutions

• HW1
• HW2
• HW3
• HW4
• HW5
• HW6
• HW7
• HW8
• HW9
• HW10

Assessment Scheme

Homework		10%
Midterm		40%
Final Exam		50%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

http://www.cuhk.edu.hk/policy/academichonesty/

and thereby help avoid any practice that would not be acceptable.

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Assessment Policy

Last updated: November 29, 2020 10:02:27