Class Summaries and Tentative Schedule


Note: Lecture notes will generally be available after class on Blackboard.

THIS COURSE WILL BE HELD ONLINE ON BLACKBOARD


WEEK 1


Chapter 1 Introduction :
1.1 Some Basic Mathematical Models; Direction Fields; Slope Fields
1.2 Solutions to Some Differential Equations; Standard equations
1.3 Classiffication of Differential Equations

Chapter 2 First Order Differential Equations:
2.1 Linear Equations; Method of Integrating Factors; Standard equations

Section R 6/18:   Worksheet1, Quiz 1


WEEK 2


Chapter 2 cont'd :
2.2 Separable Equations; Standard equations
Problems 30, 31, 32 Other equations

2.3 Modeling with First Order Equations; Applications
2.4 Differences Between Linear and Nonlinear Equations
Problems 27, 28, 29 Other equations

2.5 Autonomous equations and population dynamics

Section R 6/25:   Worksheet2, Quiz 2


WEEK 3


Chapter 2 cont'd :

2.6 Exact Equations and Integrating Factors; Standard equations

2.8 The Existence and Uniqueness Theorem

Chapter 3 Second Order Linear Equations:
3.1 Homogeneous Equations with Constant Coeffcients; Homogeneous equations

3.2 Solutions of Linear Homogeneous Equations; Homogeneous equations

Section R 7/2:   Worksheet3, NO QUIZ

FIRST MIDTERM ON WEBASSIGN AT 17:30

 


WEEK 4


Chapter 3 cont'd :
3.3 Complex Roots of the Characteristic Equation; Homogeneous equations
Problem 34 on Euler Equations
3.4 Repeated Roots; Reduction of Order; Homogeneous equations

3.5 Nonhomogeneous Equations; Undetermined Coefficients
3.6 Variation of Parameters; Variation

Section R 7/9:   Worksheet4, Quiz 3

WEEK 5


Chapter 3 cont'd :
3.7 Mechanical and Electrical Vibrations; Applications

Chapter 4: Higher Order Linear Equations :
4.1 General Theory of nth Order Linear Equations

Section R 7/16:   MIDTERM 2 IN CLASSS TIME ON BLACKBOARD

MIDTERM II ON BLACKBOARD

 

WEEK 6


Chapter 4 cont'd
4.2 Homogeneous Equations with Constant Coefficients
4.3 The Method of Undetermined Coefficients
4.4 The Method of Variation of Parameters


Section R 7/23:   Worksheet5, Quiz 4



WEEK 7


Chapter 6 The Laplace Transform:

6.1 Deffition of the Laplace Transform
6.2 Solution of Initial Value Problems
6.3 Step Functions; Laplace transform


Wednesday review session,Quiz 5
Section R 7/30:  

MIDTERM 3 ON BLACKBOARD




WEEK 8



Chapter 6 The Laplace Transform cont'd: :

6.4 Differential Equations with Discontinuous Forcing Functions
6.5 Impulse Functions
6.6 The Convolution Integral


Section R 8/6:  

FINAL EXAM





UP TO WEEK 1


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