Section numbers below refer to those in the textbook.
9/4: §1.1 Applications Leading to Differential Equations
9/8: §1.2 First-Order Equations
9/9: §1.3 Direction Fields for First-Order Equations
9/11: §2.1 Linear First-Order Equations, HW1 distributed
9/15: §2.1 Linear First-Order Equations
9/16: §2.2 Separable Equations
9/18: §2.3 Existence and Uniqueness of Solutions of
Nonlinear Equations, HW1 Due, HW2 distributed
9/22: §2.4 Transformations of Nonlinear Equations into
Separable Equations
9/23: §2.5 Exact Equations
9/25: §2.6 Integrating Factors, HW2 Due, HW3 distributed
9/29: §4.1 Growth and Decay, §4.2 Cooling and Mixing
9/30: Review for Midterm Exam 1, HW3 Due: no lates, Review problems and practice exam, Solutions
10/2: Midterm Exam 1, Solutions
10/6: Autonomous Equations and Population Dynamics
10/7: §5.1 Homogeneous Linear Equations
10/9: §5.1 Homogeneous Linear Equations, HW4 distributed
10/13: No class: Thanksgiving
10/14: No class: Thanksgiving
10/16: §5.2 Constant Coefficient Homogeneous Equations, HW4 due
10/20: §5.2 Constant Coefficient Homogeneous Equations
10/21: §5.6 Reduction of Order, HW5 distributed
10/23: §9.1 Introduction to Linear Higher-Order Equations
10/27: §9.1 Introduction to Linear Higher-Order Equations, §9.2 Higher-Order Constant Coefficient
Homogeneous Equations
10/28: §5.3 Nonhomogeneous Linear Equations, §9.1 Introduction to Linear Higher-Order Equations, HW5 due, HW6 distributed
10/30: §5.4,5.5 The Method of Undetermined Coefficients
11/3: §9.3 Undetermined Coefficients for
Higher-Order Equations
11/4: §5.7 Variation of Parameters, HW6 due
11/6: Review for Midterm Exam 2, Review problems and practice exam, Solutions
11/10: Midterm Exam 2, Solutions
11/11: No class: Remembrance Day
11/13: §9.4 Variation of Parameters for Higher-Order
Equations, HW7 distributed
11/17: §9.4 Variation of Parameters for Higher-Order Equations
11/18: §6.1,6.2 Spring Problems
11/20: §8.1 Introduction to the Laplace Transform, HW7 due, HW8 distributed
11/24: §8.2 The Inverse Laplace Transform
11/25: §8.3 Solution of Initial Value Problems
11/27: §8.4 The Unit Step Function, §8.5
Constant Coefficient Equations with Piecewise
Continuous Forcing Functions, HW8 due, HW9 distributed
12/1: §8.7 Constant Coefficient Equations with Impulses
12/2: Review for Final Exam, Table of Laplace Transforms, Practice Exam 1, Solutions, Practice Exam 2, Solutions
12/15: Final Exam, 9-11AM, SN2036
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