Math 420 Ordinary differential Equations

Basic Information

Instructor: Lechao Xiao

Email: xle (at) math(dot)upenn(dot)edu

Office: DRL 3N4C

Office Hours: Wendesday 3-4pm and by appointment

Lecture: MWF 2-2:50 PM, 4C2 DRL

Course Information

Syllabus: here

Text: Differential Equations by Blanchard, Devaney, and Hall, 4th edition.

Course Description: After a rapid review of the basic techniques for solving equations, the course will discuss one or more of the following topics: stability of linear and nonlinear systems, boundary value problems and orthogonal functions, numerical techniques, Laplace transform methods.

Grading Policy

Your grade breakdown will be computed one of two ways:

Option 1: You choose NOT to write a short paper
Midterm Exam : 25%
Final Exam: 30%
Homework: 20%
Quizzes: 20%
Participation: 5%

Option 2: You choose to write a short paper and give a presentation
Paper: 10% Midterm Exam : 20%
Final Exam: 25%
Homework: 20%
Quizzes: 20%
Participation: 5%

If you choose to write a paper I will calculate your grade both ways and take the higher grade.

HW1_Due_Sep10: Section 1.2 #8, 12, 22, 24, 29, 43; Secttion 1.3 #8, 11, 12, 13, 14, 16.

HW2_Due_Sep18: Section 1.5 #2, 3, 7, 8, 11, 16; Section 1.6 #8, 11, 20, 32, 36; Section 1.7 #2, 7, 11, 12, 13.

HW3_Due_Sep25: Section 1.8 #2, 4, 12, 13, 22; Section 1.9 #4, 6, 10, 16, 22.

HW4_Due_Oct2: here

HW5_Due_Oct23: Section 3.1 #7,19; Section 3.2 #19, 22; Section 3.3 #5, 12, 19; Section 3.4 #3,9, 4,10, 21,22,23;

HW6: Section 3.5 #3/7, 4/8, 14, 17; Section 3.6 #3, 5, 10, 12, 15/23; Section 3.7 #1, 3, 8, 10, 12.

HW7_Due_Nov_10: Section 4.1 #1, 9, 34 ; Section 4.2 # 11, 13, 17, 21; Section 4.3 #7, 11, 17, 21.

HW8_Due_Nov_19: Section 4.4 #3,4,5,6; Section 5.1 # 11, 15, 17,18; Section 5.2 # 9, 13;

HW9_Due_Dec_5: Section 5.3 #3, 9, 11, 15, 17; Section 5.4 # 1, 2, 8, 19; Section 6.1 # 3, 5, 6, 17, 25; Section 6.2 # 13, 16, 17, 18, 19, 20;

Practice_HW: