# Topics and Assignments

 Week Topics Suggested Practice Problems Jan 24 Introduction and Review : Chapter 1 Read Chapter 1 Jan 29 - 31 First Order Differential Equations Methods of Solving Differential Equations : 2.1, 2.2, 2.6 Section 2.1: # 13-20 odd, 28 Section 2.2: # 1-8 even, 9, 10,23, 25 Section 2.6: # 1-12 odd, 13, 18, 19-22 odd, 25-31 odd Feb 5 - 7 Second Order Differential Equations Homogeneous Equations Fundamental Solutions : 3.1, 3.2 Linear Independence and the Wronskian: 3.3 Section 3.1: # 1-8 odd, 9-17 odd, 21, 28 Section 3.2: # 1-6 odd, 9, 11, 14, 19, 23-26 odd, 29-32 odd Feb 12 - 14 Linear Independence and the Wronskian: 3.3 Constant Coefficient Equations Complex Roots : 3.4 Repeated Roots: 3.5 Section 3.3: # 1-8 odd, 11, 12, 15, 17, 21, 25 Section 3.4: # 7-22 odd, 34, 35, 37 Section 3.5: # 1-14 odd, 20, 23-31 odd Feb 19 - 21 Non-homogeneous Equations : 3.6, 3.7 Section 3.6: # 1-10 odd, 13-18 odd, 32, 33 Section 3.7: # 1-12 odd, 13-28 odd, 28, 29-32 odd Feb 26 - 28 Review Exam I (Thursday 28th February) Exam I (Thursday 28th February) March 4 - 6 Power Series Solutions Review of Series : 5.1 Series Solutions Ordinary Points : 5.2, 5.3 Section 5.1: # 1-8 odd, 9-16 odd, 19, 21-26 odd Section 5.2: # 1-14 odd, 17 Section 5.3: # 1-8 odd March 11 -13 Regular Singular Points and Euler's Equation: 5.4, 5.5 Section 5.4: # 1-18 odd, 19, 21, 22-27 odd Section 5.5: # 1-12 odd, 15, 19, 21, 23 March 18 -20 Spring Break! QUIZ-IV.PDF DUE MARCH 25th, 2008 March 25 -27 The Laplace Transform Definition and solution of IVPs : 6.1, 6.2 Discontinuous functions: 6.3 Section 6.1: # 5, 15, 19 Section 6.2: # 1-10 odd, 11-23 odd April 1- 3 Discontinuous functions: 6.3, 6.4, 6.5 Section 6.3 # 3, 5, 7-18 odd Section 6.4: # 3, 7, 9, 15 Section 6.5: # 4, 6, 16 April 8 - 10 Convolution: 6.6 Review Section 6.6: # 4-11 odd, 13-20 odd April 15 - 17 Exam II Tuesday( April 15th.) Fourier Series Boundary value problems and Fourier series : 10.1 Exam II Tuesday( April 15th.) Section 10.1: # 1-13 odd April 22 - 24 Fourier Series: 10.2 Fourier series, even and odd functions : 10.3, 10.4 Section 10.2: # 11, 14, 16, 17 Section 10.3: # 1-6 odd, 8, 9, 12 Section 10.4: # 7-12 odd, 15, 17, 18, 24, 35 April 29 Partial Differential Equations The heat equation and separation of variables : 10.5 Section 10.5: # 1-6 odd, 8, 10, 12 May 6 (Tuesday) Final!! 11:30 AM - 2:30 PM