Introduction to Differential Equations

Course description: The course is an introduction to ordinary differential equations. We will cover first and second order linear differential equations, systems of linear differential equations, Laplace transforms, numerical methods, and applications.

Teaching Assistants: The teaching assistants for Math 331 are Allison Tanguay and Diego Belfiore. They will hold office hours to go over homework, examples, prepare for exams, answer questions, and so on...

TA : Allison Tanguay
Office : LGRT 1335E
Phone : 545-1714
E-Mail : tanguay at math.umass.edu
Office hours: Tuesday and Wednesday 5-7PM     Room: LGRT 1234

TA : Diego Belfiore
Office : LGRT 1423I
Phone : 545-0840
E-Mail : belfiore at math.umass.edu
Office hours: Monday 5-7PM     Room: 1335
                       Thursday 1-3PM     Room: 1423I

Homework : We will use an online homework system, WeBWork . Problems will also be assigned from the book, but not collected.

**Class Activity**
9/2/08	First day of class. Assignment: Read Chapter 1.
9/9/08	Assigned HW1 in WeBWork, due 9/17. Assignment: Read sections 2.1 and 2.2.
9/11/08	Integrating factors.
	Problems from the book: Sec. 1.2: 1, 7, 8, 12-14 (in 7th edition 1, 6, 7, 10-12), and Sec. 1.3: 1-6, 15-18.
9/18/08	Separable equations. Assigned HW2 in WeBWork, due 9/25.
9/25/08	Exact equations. Assignment: Read sections 3.1 and 3.2. Assigned HW3 in WeBWork, due 10/2.
	Problems from the book: Sec. 2.6: 1, 2, 4, 7, 8, 11, 12, 15, 16
9/30/08	Second order ODEs. Assignment: Read sections 3.4 and 3.5.
10/2/08	Constant coefficient homogeneous equations. Assigned HW4 in WeBWork, due 10/9.
10/7/08	Wronskian. Assignment: Read sections 3.6 and 3.7.
	Problems from the book: Sec. 3.1: 1, 7, 11, 15 and Sec. 3.2: 1, 5, 21, 22 and Sec. 3.4: 7, 11, 17, 21 and Sec. 3.5: 1, 9, 14
10/9/08	Method od Undetermined Coefficients. Assigned HW5 in WeBWork, due 10 /17.
10/7/08	Mechanical and electrical vibrations. Assignment: Read sections 3.8 and 3.9.
	Problems from the book: Sec. 3.7: 1, 3, 5, 7, 14, 15 and Sec. 3.8: 1, 2, 3, 6, 7, 8, 11
11/12/08	Laplace transforms (contd.) Assigned HW6 in WeBWork, due 11/21.
	Problems from the book: Sec. 6.1: 1, 2, 3, 5, 7, 14 and Sec. 6.2: 1, 3, 5, 9, 10, 12, 16, 17, 19, 21
11/25/08	More on Laplace transforms. Assigned HW7 in WeBWork, due 12/10. Assignment: Read sections 6.3, 6.4, and 6.5. /17.

Class Activity

9/2/08

First day of class. Assignment: Read Chapter 1.

9/9/08

Assigned HW1 in WeBWork, due 9/17. Assignment: Read sections 2.1 and 2.2.

9/11/08

Integrating factors.

Problems from the book: Sec. 1.2: 1, 7, 8, 12-14 (in 7th edition 1, 6, 7, 10-12), and Sec. 1.3: 1-6, 15-18.

9/18/08

Separable equations. Assigned HW2 in WeBWork, due 9/25.

9/25/08

Exact equations. Assignment: Read sections 3.1 and 3.2. Assigned HW3 in WeBWork, due 10/2.

Problems from the book: Sec. 2.6: 1, 2, 4, 7, 8, 11, 12, 15, 16

9/30/08

Second order ODEs. Assignment: Read sections 3.4 and 3.5.

10/2/08

Constant coefficient homogeneous equations. Assigned HW4 in WeBWork, due 10/9.

10/7/08

Wronskian. Assignment: Read sections 3.6 and 3.7.

Problems from the book: Sec. 3.1: 1, 7, 11, 15 and Sec. 3.2: 1, 5, 21, 22 and Sec. 3.4: 7, 11, 17, 21 and Sec. 3.5: 1, 9, 14

10/9/08

Method od Undetermined Coefficients. Assigned HW5 in WeBWork, due 10 /17.

10/7/08

Mechanical and electrical vibrations. Assignment: Read sections 3.8 and 3.9.

Problems from the book: Sec. 3.7: 1, 3, 5, 7, 14, 15 and Sec. 3.8: 1, 2, 3, 6, 7, 8, 11

11/12/08

Laplace transforms (contd.) Assigned HW6 in WeBWork, due 11/21.

Problems from the book: Sec. 6.1: 1, 2, 3, 5, 7, 14 and Sec. 6.2: 1, 3, 5, 9, 10, 12, 16, 17, 19, 21

11/25/08

More on Laplace transforms. Assigned HW7 in WeBWork, due 12/10. Assignment: Read sections 6.3, 6.4, and 6.5. /17.