Section numbers below refer to those in the Seventh Edition.
1/5: Introduction to Differential Equations
1/7: §1.2 Solutions of Some Differential Equations, §1.3 Classification of Differential Equations
1/9: §1.1 Some Basic Mathematical Models; Direction Fields
1/12: §2.1 Linear Equations with Variable Coefficients
1/14: §2.2 Separable Equations, HW1 distributed, Solutions
1/16: §2.3 Modeling with FirstOrder Equations
1/19: §2.4 Differences Between Linear and Nonlinear Equations
1/21: Transformations of Nonlinear Equations, HW2 distributed, Solutions HW1 Due
1/23: §2.5 Autonomous Equations and Population Dynamics
1/26: §2.6 Exact Equations and Integrating Factors
1/28: §2.6 Exact Equations and Integrating Factors, HW3 distributed, Solutions; HW2 Due
1/30: §3.1 Homogeneous Equations with Constant Coefficients
2/2: §3.2 Fundamental Solutions of Linear Homogeneous Equations
2/4: Review for Midterm Exam 1, Practice exams, Solutions; HW3 Due
2/6: Midterm Exam 1 (covers through end of lecture on 1/28), Solutions
2/9: §3.3 Linear Independence and the Wronskian
2/11: §3.3 Linear Independence and the Wronskian, HW4 distributed, Solutions
2/13: §3.4 Complex Roots of the Characteristic Equation
2/16: No class: Winter Semester Break
2/18: No class: Winter Semester Break
2/20: §3.5 Repeated Roots; Reduction of Order, HW4 Due
2/23: §3.5 Repeated Roots; Reduction of Order
2/25: §3.6 Nonhomogeneous Equations; Method of Undetermined Coefficients, HW5 distributed, Solutions
2/27: §3.7 Variation of Parameters
3/2: §3.8 Mechanical and Electrical Vibrations; §3.9 Forced Vibrations
3/4: §4.1 General Theory of nth order Linear Equations, HW6 distributed, Solutions; HW5 Due
3/6: §4.2 Homogeneous Equations with Constant Coefficients
3/9: §4.3 The Method of Undetermined Coefficients
3/11: Review for Midterm Exam 2, Practice exam, Solutions; HW6 Due
3/13: Midterm Exam 2 (covers from start of lecture on 1/30 through end of lecture on 3/4)
3/16: SNOW DAY
3/18: §4.4 The Method of Variation of Parameters, HW7 distributed, Solutions; HW8 distributed, Solutions
3/20: §4.4 The Method of Variation of Parameters
3/23: §6.1 Definition of the Laplace Transform
3/25: §6.2 Solution of Initial Value Problems; HW7 Due
3/27: §6.2 Solution of Initial Value Problems
3/30: §6.3 Step Functions, §6.4 Differential Equations with Discontinuous Forcing Functions
4/1: Review for Final Exam, Table of Laplace Transforms, Practice Exam, Solutions; HW8 Due
Final Exam: see Schedule
