MTH 244

Spring 2005

Topics and Assignments



 
 
        Week                           Topics                                   Assignments
Jan 18 - 20

Introduction and Definitions: 1.1
Existence and Uniqueness: 1.2
Variables Separables:1.3

Section 1.1:# 1,5,9,14,18,25,27
Section 1.2:# 1,3,7,9,10,13,15
Section 1.3: # 1,3,9,11,19,20,24,33
Jan 25 - 27

First-Order Linear Differential Equations: 1.4

Section 1.4:# 1,5,7,17,31,35,39,41,44,46
Feb 1 - 3

Exact Differential Equations:1.5
Homogeneous Equations:1.6

Section 1.5 # 1,5,11,15,23,25,26,27,29,32,41
Feb 8 - 10

Homogeneous Equations:1.6
Equations Reducible to First Order:1.7

Section 1.6 # 1,3,7,12,19,23,29
Section 1.7 # 1,3,5,12
Feb 15 - 17

Equations Reducible to First Order:1.7
Exam I

Exam I, Thursday February 17th.
Feb 22 - 24

Linear Independence and Wronskians:2.2
Existence and Uniqueness of Solutions:2.3

Section 2.2 #3,7,8,25,30,33,35,39,41
Section 2.3 # 1,5,7,11,13,21
March 1 - 3

Homogeneous Differential Equations with Constant Coefficients, The Characteristic Equation:2.4
Homogeneous Differential Equations with Constant Coefficients, The General Solution:2.5
Homogeneous Equations with Variable Coefficients:2.6
Euler Differential Equation:2.7

Section 2.4 # 3,5,7,11,15,19,25,35
Section 2.5 # 1,5,7,10,20,23,25,35,47
March 8 - 10

Euler Differential Equation:2.7
Reduction of Order:2.8

Section 2.7 #3,7,11,19,25,31,33,37
Section 2.8 #1,5,7,14,,15,29
March 15 - 17

Happy Spring Break!


March 22 - 24

Solutions of Linear Homogeneous Differential Equations by the Method of Taylor Series:2.9
Non-Homogeneous Differential Equations:2.10
The Method of Undetermined Coefficients:2.11

Section 2.9 #3,5,10,11,14
Section 2.10 #5,7,11,15,19,23
March 29 - 31

The Method of Undetermined Coefficients:2.11
Variation of Parameters:2.12

Section 2.11 # 1,3,7,14,18,23,29,33,41
Section 2.12 # 1,5,7,11,19,23
April 5 - 7

Review
Exam II

Exam II, Thursday, April 7th.
April 12 - 14

Introduction and Basic Theory:3.1
The Method of Elimination:3.2
The Matrix Method:3.3

Section 3.1 #1,5,7,11,13,23,29
Section 3.2 #3,5,7,11,19,21,25
Section 3.3 #1,5,7,13,19,23,29,35
April 19 - 21

The Laplace Transform and its Properties:4.2
The Laplace Transform Applied to Differential Equations:4.3
Review of Power Series:5.2

Section 4.2 # 1,4,7,14,17,28,31,43,49
Section 4.3 # 1,5,7,11,21,18,31,41
April 26 - 28

Review of Power Series:5.2
Ordinary Points and Singular Points:5.3
Power-Series Solutions about and Ordinary Point:5.4

Section 5.2 #1,3,4,7,11,19,21
Section 5.3 #1,5,7,11,14,17,18
May 3 - 5

Power Series Solutions about and Ordinary Point:5.4
Series Solutions about a Regular Singular Point:5.5
Introduction and Solution to Boundary Value Problems:6.1

Section 5.4#3,4,7,11,19,20,21
Section 5.5 #1,5,7,11,21,23,27,29
Section 6.1 # 1,5,7,11,15
May 10

Exam III

Exam III, Tuesday May 10th.
May 19

Final!

Thursday, May 19th., 11:30AM - 2:30 PM., Kelley Hall 102