Week 
Topics and Sections 
Homework 
DUE 
Jan 28, 30, Feb 1 
Introduction §1.1 Mathematical Models and Slope Fields §1.2 Solutions to Some Differential Equations §1.3 Classification of Differential Equations §2.1 Linear Equations and Integrating Factors
Jan 28 Jan 30 Feb 1 
Please become familiar with the organization of this course by carefully reading the syllabus on this webpage.
Do the following exercises from the textbook: §1.1: 2, 4, 1520 §1.2: 3, 7, 13 §1.3: 4, 9 §2.1: 2, 10, 20 (Use a computer to draw direction fields and print them out)
Selected Solutions 
Feb 8 
Feb 4, 6, 8 
§2.2 Separable Equations §2.3 Modeling with First Order Equations §2.4 Linear vs. Nonlinear Equations §2.5 Autonomous Equations and Population Dynamics
Feb 4 Feb 6 Feb 8 
Do the following exercises: §2.1: 22, 28, 30, 35 §2.2: 2, 5, 14, 22, 24 §2.4: 4, 5, 13, 15, 26, 27 §2.5: 2, 4, 7, 9
Read section §2.3 from the textbook
Selected Solutions 
Feb 15 
Feb 11, 13, 15 
§2.5 Exercises: Bifurcation Theory and Diagrams §2.6 Exact Equations and Integrating Factors §2.8 Existence and Uniqueness Theorem
Feb 11 Feb 13 Feb 15 
Do the following exercises: §2.5: 16, 17, 26, 27 §2.6: 4, 5, 12, 14, 16 §3.1: 7, 14, 18, 20, 21, 24
Selected Solutions 
Feb 22 
Feb 18, 20, 22 
Wednesday lecture cancelled due to weather
§3.1 Homogeneous Equations §3.2 The Wronskian
Feb 18 Feb 22 
Do the following exercises: §3.2: 4, 11, 14, 18, 26, 28, 31, 33, 37
Selected Solutions 
Mar 1 
Feb 25, 27 Mar 1 
§3.2 The Wronskian §3.3 Char. Eqn. Roots: Complex §3.4 Char. Eqn. Roots: Repeated
Feb 25 Feb 27 Mar 1 
Do the following exercises: §3.3: 3, 14, 19, 25, 27 §3.4: 8, 18, 24, 27
Selected Solutions 
Mar 8 
Mar 4, 6, 8 
1st midterm on Monday in class
§3.5 Nonhomogeneous Equations §3.6 Variations of Parameters §3.7 Mech. and Electr. Vibrations
Mar 6 Mar 8 
Do the following exercises: §3.5: 3, 10, 12, 14, 17, 30 §3.6: 3, 7, 10, 15, 18, 28, 29
Read section §3.7 from the textbook.
Selected Solutions 
Mar 15 
Mar 11, 13, 15 
§4.1 Higher Order Linear Equations §4.2 Homogeneous Equations §4.3 Undetermined Coefficients §7.1 Introduction to Systems §7.2 Review of Matrices §7.3 Linear Algebraic Equations
Mar 11 Mar 13 Mar 15
Review Linear Algebra 
Do the following exercises: §4.1: 6, 8, 18, 19 §4.2: 11, 12, 18, 31 §4.3: 1, 2, 6, 14 §7.1: 4, 6, 15
Read sections §7.2 and §7.3 from the textbook to review linear algebra.
To supplement your review of linear algebra I suggest to do the following exercises: §7.2: 2, 11, 23, 24 §7.3: 1, 8, 19, 20 (This is voluntary! You do not have to hand in solutions to the above exercises from §7.2 and §7.3)
Selected Solutions 
Mar 29 
Mar 1824 
Spring break 
No homework 

Mar 25, 27, 29 
§7.4 First Order Linear Systems §7.5 Homogeneous Linear Systems
Mar 25 Mar 27 Mar 29 
Do the following exercises: §7.4: 4, 6 §7.5: 4, 5, 8, 15, 16, 25, 27, 29, 31
(Use an applet to draw the direction fields and print them out)
Selected Solutions 
Apr 5 
Apr 1, 3, 5 
§7.6 Complex Eigenvalues §7.7 Fundamental Matrices §7.8 Repeated Eigenvalues
Apr 1 Apr 3 Apr 5 
Do the following exercises: §7.6: 3, 9, 13, 15, 28 §7.7: 5, 8, 11 §7.8: 4, 8, 15
Selected Solutions 
Apr 12 
Apr 8, 10, 12 
§9.1 The Phase Plane §9.2 Autonomous Systems and Stability §9.3 Locally Linear Systems
Apr 8 Apr 10 Apr 12 
Do the following exercises: §9.1: 15, 20, 21 §9.2: 5, 8, 18 
Apr 19 
Apr 15, 17, 19 
2nd midterm on Monday in class
§9.3 Locally Linear Systems §9.4 Competing Species
Apr 17 Apr 19 
Do the following exercises: §9.3: 5, 16, 20, 27 §9.4: 2, 17 
Apr 26 
Apr 22, 24, 26 
§9.5 PredatorPrey Equations §9.7 Periodic Solutions and Limit Cycles §6.1 Definition of the Laplace Transform 


Apr 29 May 1, 3 
§6.2 Solution of Initial Value Problems §6.3 Step Functions §6.4 Discontinuous Forcing Functions §8.1 The Euler or Tangent Line Method Course Review


