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
BACK TO COURSE WEBPAGE