Ordinary Differential Equations (MATH 366, Spring 2015) Syllabus

Teacher: Alexandre Eremenko
OFFICE: Math 600
OFFICE HOURS: TTh 1:30-2:30 +by appointment. You may also ask questions by e-mail.
PHONE: (765) 494-1975
EMAIL: eremenko@math.purdue.edu

GENERAL INFORMATION

Useful software for HW: dfield and pplane

Midterm exams schedule:
February 11, 6:30-7:30 p.m., Math 175,
March 9, 6:30-7:30 p.m., Math 175.

Final exam: Friday, May 6, 1-3 pm GRIS 103.

Supplementary material. This is just for your convenience. Problems contained in these texts are not a part of HW.
pdf Partial Fractions Examples.
Cat under wire,
Exact equations,
Integrating factor,
First order linear equations.
Some non-linear second order equations
Space travel.
Gravity train project.
Complex numbers (For the quiz preparation).
How complex numbers were invented

Homework 1 (due Jan 19): Section 1.1: 15, 16, 18, 19, 21, 23; Section 1.2: 3, 12, 13, 14, 16; Section 1.3: 1, 2, 3, 7, 11, 15, 20.

Homework 2 (due Jan 26): Sections 2.1, 2.2, 2.3
2.1: 13, 14, 15, 16, 2.2: 1, 7, 22, 23, 29. 2.3: 1, 2, 3, 4, 16, 24, 29.

Homework 3 (due Febr. 2): Sections 2.4, 2.5, 2.6, 2.8
2.4: 1, 3, 7, 8, 22(a)(b), 23, 27, 28; 2.5: 3, 9, 15, 18, 22 2.6: 2, 3, 7, 13, 15, 19, 21, 23,

Homework 4 (due Febr. 9) Sections 3.1, 3.2.
3.1: 4, 6, 10, 16, 18, 22, 24 3.2: 2, 4, 8, 11, 13, 14, 18, 20, 23, 24

Reminder: first midterm is on Febr 11, at 6:30 p.m. in Math 175.

Homework 5 (due Febr 18) Sections 3.3, 3.4, 3.5. 3.3: 4, 5, 11, 14, 17, 18, 23, 27, 29 3.4: 4, 6, 14, 16, 25, 28 3.5: 1, 2, 3, 4, 13

Practice problems for the first exam.
Some answers and solutions can be found here.
quiz solved.
Exam solved. (Corrected. Equation in 5 is exact but ALSO homogeneous. So it can be solved by two methods.)

Homework 6 (due Febr 23) 3.5: 16, 19, 21(a), 22(a), 25(a) 3.6: 2, 7, 13 3.7: 3, 4, 5, 9, 17, 28 3.8: 4, 5, 7, 9

Homework 7 (due March 1) 4.1: 4, 6 4.2: 1, 4, 6, 11, 13, 22, 29, 31 4.3: 4, 6, 11, 15, 18

Reminder: second midterm exam is on March 9, in Math 175 at 6:30-7.30. Covers Chapters 3,4. Practice problems for the second midterm

Homework 8 (due March 8) 7.1: 1, 4, 5, 7, 22; 7.3: 6, 7, 8, 17, 19, 20, 22 7.4: 2, 4 7.5: 1, 3, 5, 13 7.6: 3, 6, 9, 18

Solutions and comments for the second midterm exam. Have a nice spring break!

Homework 9 (due March 29) 7.7: 3,6,11,12 7.8: 1, 3, 6, 7 7.9: 1, 6, 7

Homework 10 (due April 5) 9.1: 3, 4, 5, 6, 9.2: 2, 6, 10, 18, 20 9.3: 2, 6, 8, 10

Homework 11 (due April 12) 9.3: 13, 16; 9.4: 1, 19; 9.5: 1, 3;

Quiz solved.

Homework 12 (due April 19, last one) 9.6: 1, 4, 5 9.7: 1, 3, 11

Final exam answers and partial credits

Have a nice summer!