MTH244, Spring 2008

Topics and Assignments

Week Topics Suggested Practice Problems

Jan 24

Introduction and Review : Chapter 1

Read Chapter 1

Jan 29 - 31

First Order Differential Equations
Methods of Solving Differential Equations : 2.1, 2.2, 2.6

Section 2.1: # 13-20 odd, 28
Section 2.2: # 1-8 even, 9, 10,23, 25
Section 2.6: # 1-12 odd, 13, 18, 19-22 odd, 25-31 odd

Feb 5 - 7

Second Order Differential Equations
Homogeneous Equations
Fundamental Solutions : 3.1, 3.2
Linear Independence and the Wronskian: 3.3

Section 3.1: # 1-8 odd, 9-17 odd, 21, 28
Section 3.2: # 1-6 odd, 9, 11, 14, 19, 23-26 odd, 29-32 odd

Feb 12 - 14

Linear Independence and the Wronskian: 3.3
Constant Coefficient Equations
Complex Roots : 3.4
Repeated Roots: 3.5

Section 3.3: # 1-8 odd, 11, 12, 15, 17, 21, 25
Section 3.4: # 7-22 odd, 34, 35, 37
Section 3.5: # 1-14 odd, 20, 23-31 odd

Feb 19 - 21

Non-homogeneous Equations : 3.6, 3.7

Section 3.6: # 1-10 odd, 13-18 odd, 32, 33
Section 3.7: # 1-12 odd, 13-28 odd, 28, 29-32 odd

Feb 26 - 28

Review
Exam I (Thursday 28th February)

Exam I (Thursday 28th February)

March 4 - 6

Power Series Solutions
Review of Series : 5.1
Series Solutions
Ordinary Points : 5.2, 5.3

Section 5.1: # 1-8 odd, 9-16 odd, 19, 21-26 odd
Section 5.2: # 1-14 odd, 17
Section 5.3: # 1-8 odd

March 11 -13

Regular Singular Points and Euler's Equation: 5.4, 5.5

Section 5.4: # 1-18 odd, 19, 21, 22-27 odd
Section 5.5: # 1-12 odd, 15, 19, 21, 23

March 18 -20

Spring Break!

QUIZ-IV.PDF DUE MARCH 25th, 2008

March 25 -27

The Laplace Transform
Definition and solution of IVPs : 6.1, 6.2
Discontinuous functions: 6.3

Section 6.1: # 5, 15, 19
Section 6.2: # 1-10 odd, 11-23 odd

April 1- 3

Discontinuous functions: 6.3, 6.4, 6.5

Section 6.3 # 3, 5, 7-18 odd
Section 6.4: # 3, 7, 9, 15
Section 6.5: # 4, 6, 16

April 8 - 10

Convolution: 6.6
Review

Section 6.6: # 4-11 odd, 13-20 odd

April 15 - 17

Exam II Tuesday( April 15th.)
Fourier Series
Boundary value problems and Fourier series : 10.1

Exam II Tuesday( April 15th.)
Section 10.1: # 1-13 odd

April 22 - 24

Fourier Series: 10.2
Fourier series, even and odd functions : 10.3, 10.4

Section 10.2: # 11, 14, 16, 17
Section 10.3: # 1-6 odd, 8, 9, 12
Section 10.4: # 7-12 odd, 15, 17, 18, 24, 35

April 29

Partial Differential Equations
The heat equation and separation of variables : 10.5

Section 10.5: # 1-6 odd, 8, 10, 12

May 6
(Tuesday)
Final!!

11:30 AM - 2:30 PM

Week	Topics	Suggested Practice Problems
Jan 24	Introduction and Review : Chapter 1	Read Chapter 1
Jan 29 - 31	First Order Differential Equations Methods of Solving Differential Equations : 2.1, 2.2, 2.6	Section 2.1: # 13-20 odd, 28 Section 2.2: # 1-8 even, 9, 10,23, 25 Section 2.6: # 1-12 odd, 13, 18, 19-22 odd, 25-31 odd
Feb 5 - 7	Second Order Differential Equations Homogeneous Equations Fundamental Solutions : 3.1, 3.2 Linear Independence and the Wronskian: 3.3	Section 3.1: # 1-8 odd, 9-17 odd, 21, 28 Section 3.2: # 1-6 odd, 9, 11, 14, 19, 23-26 odd, 29-32 odd
Feb 12 - 14	Linear Independence and the Wronskian: 3.3 Constant Coefficient Equations Complex Roots : 3.4 Repeated Roots: 3.5	Section 3.3: # 1-8 odd, 11, 12, 15, 17, 21, 25 Section 3.4: # 7-22 odd, 34, 35, 37 Section 3.5: # 1-14 odd, 20, 23-31 odd
Feb 19 - 21	Non-homogeneous Equations : 3.6, 3.7	Section 3.6: # 1-10 odd, 13-18 odd, 32, 33 Section 3.7: # 1-12 odd, 13-28 odd, 28, 29-32 odd
Feb 26 - 28	Review Exam I (Thursday 28th February)	Exam I (Thursday 28th February)
March 4 - 6	Power Series Solutions Review of Series : 5.1 Series Solutions Ordinary Points : 5.2, 5.3	Section 5.1: # 1-8 odd, 9-16 odd, 19, 21-26 odd Section 5.2: # 1-14 odd, 17 Section 5.3: # 1-8 odd
March 11 -13	Regular Singular Points and Euler's Equation: 5.4, 5.5	Section 5.4: # 1-18 odd, 19, 21, 22-27 odd Section 5.5: # 1-12 odd, 15, 19, 21, 23
March 18 -20	Spring Break!	QUIZ-IV.PDF DUE MARCH 25th, 2008
March 25 -27	The Laplace Transform Definition and solution of IVPs : 6.1, 6.2 Discontinuous functions: 6.3	Section 6.1: # 5, 15, 19 Section 6.2: # 1-10 odd, 11-23 odd
April 1- 3	Discontinuous functions: 6.3, 6.4, 6.5	Section 6.3 # 3, 5, 7-18 odd Section 6.4: # 3, 7, 9, 15 Section 6.5: # 4, 6, 16
April 8 - 10	Convolution: 6.6 Review	Section 6.6: # 4-11 odd, 13-20 odd
April 15 - 17	Exam II Tuesday( April 15th.) Fourier Series Boundary value problems and Fourier series : 10.1	Exam II Tuesday( April 15th.) Section 10.1: # 1-13 odd
April 22 - 24	Fourier Series: 10.2 Fourier series, even and odd functions : 10.3, 10.4	Section 10.2: # 11, 14, 16, 17 Section 10.3: # 1-6 odd, 8, 9, 12 Section 10.4: # 7-12 odd, 15, 17, 18, 24, 35
April 29	Partial Differential Equations The heat equation and separation of variables : 10.5	Section 10.5: # 1-6 odd, 8, 10, 12
May 6 (Tuesday)	Final!!	11:30 AM - 2:30 PM