Section numbers below refer to those in the Tenth Edition.
9/5: Introduction to Differential Equations
9/9: §1.2 Solutions of Some Differential Equations, §1.3 Classification of Differential Equations
9/10: §1.1 Some Basic Mathematical Models; Direction Fields
9/12: §2.1 Linear Equations with Variable Coefficients, HW1 distributed, Solutions
9/16: §2.2 Separable Equations
9/17: §2.3 Modeling with First-Order Equations
9/19: §2.4 Differences Between Linear and Nonlinear Equations, HW2 distributed, Solutions HW1 Due
9/23: Transformations of Nonlinear Equations
9/24: §2.5 Autonomous Equations and Population Dynamics
9/26: §2.6 Exact Equations and Integrating Factors, HW3 distributed, Solutions HW2 Due
9/30: §2.6 Exact Equations and Integrating Factors, Extra problems, Solutions
10/1: §3.1 Homogeneous Equations with Constant Coefficients
10/3: §3.2 Solutions of Linear Homogeneous Equations; the Wronskian, HW3 Due
10/7: Review for Midterm Exam 1, Practice exams, Solutions
10/8: Midterm Exam 1 (covers through end of lecture on 9/30), Solutions
10/10: §3.2 Solutions of Linear Homogeneous Equations; the Wronskian
10/16: §3.2 Solutions of Linear Homogeneous Equations; the Wronskian, Monday Schedule, HW4 distributed, Solutions
10/17: §3.3 Complex Roots of the Characteristic Equation, Tuesday Schedule
10/21: §3.4 Repeated Roots; Reduction of Order
10/22: §3.4 Repeated Roots; Reduction of Order
10/24: §3.5 Nonhomogeneous Equations; Method of Undetermined Coefficients, HW5 distributed, Solutions, HW4 Due
10/28: §3.6 Variation of Parameters
10/29: §3.7 Mechanical and Electrical Vibrations; §3.8 Forced Vibrations
10/31: §4.1 General Theory of nth order Linear Equations, HW6 distributed, Solutions, HW5 Due
11/4: §4.2 Homogeneous Equations with Constant Coefficients
11/5: §4.3 The Method of Undetermined Coefficients
11/7: §4.4 The Method of Variation of Parameters, HW6 Due
11/12: Review for Midterm Exam 2, Practice exams, Solutions
11/14:Midterm Exam 2 (covers from start of lecture on 10/01 through end of lecture on 10/29), Solutions
11/15: §4.4 The Method of Variation of Parameters, Monday Schedule, HW7 distributed; Solutions; HW8 distributed; Solutions
11/18: §6.1 Definition of the Laplace Transform
11/19: §6.2 Solution of Initial Value Problems
11/21: §6.2 Solution of Initial Value Problems; HW7 Due
11/25: §6.3 Step Functions, §6.4 Differential Equations with Discontinuous Forcing Functions
11/26: Review for Final Exam
11/28: Review for Final Exam, Table of Laplace Transforms, Practice Exams; Solutions; HW8 Due
Final Exam: see Schedule; Departmental page about final exams
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