# Topics and Assignments

 Week Topics Assignments Jan 18 - 20 Introduction and Definitions: 1.1 Existence and Uniqueness: 1.2 Variables Separables:1.3 Section 1.1:# 1,5,9,14,18,25,27 Section 1.2:# 1,3,7,9,10,13,15 Section 1.3: # 1,3,9,11,19,20,24,33 Jan 25 - 27 First-Order Linear Differential Equations: 1.4 Section 1.4:# 1,5,7,17,31,35,39,41,44,46 Feb 1 - 3 Exact Differential Equations:1.5 Homogeneous Equations:1.6 Section 1.5 # 1,5,11,15,23,25,26,27,29,32,41 Feb 8 - 10 Homogeneous Equations:1.6 Equations Reducible to First Order:1.7 Section 1.6 # 1,3,7,12,19,23,29 Section 1.7 # 1,3,5,12 Feb 15 - 17 Equations Reducible to First Order:1.7 Exam I Exam I, Thursday February 17th. Feb 22 - 24 Linear Independence and Wronskians:2.2 Existence and Uniqueness of Solutions:2.3 Section 2.2 #3,7,8,25,30,33,35,39,41 Section 2.3 # 1,5,7,11,13,21 March 1 - 3 Homogeneous Differential Equations with Constant Coefficients, The Characteristic Equation:2.4 Homogeneous Differential Equations with Constant Coefficients, The General Solution:2.5 Homogeneous Equations with Variable Coefficients:2.6 Euler Differential Equation:2.7 Section 2.4 # 3,5,7,11,15,19,25,35 Section 2.5 # 1,5,7,10,20,23,25,35,47 March 8 - 10 Euler Differential Equation:2.7 Reduction of Order:2.8 Section 2.7 #3,7,11,19,25,31,33,37 Section 2.8 #1,5,7,14,,15,29 March 15 - 17 Happy Spring Break! March 22 - 24 Solutions of Linear Homogeneous Differential Equations by the Method of Taylor Series:2.9 Non-Homogeneous Differential Equations:2.10 The Method of Undetermined Coefficients:2.11 Section 2.9 #3,5,10,11,14 Section 2.10 #5,7,11,15,19,23 March 29 - 31 The Method of Undetermined Coefficients:2.11 Variation of Parameters:2.12 Section 2.11 # 1,3,7,14,18,23,29,33,41 Section 2.12 # 1,5,7,11,19,23 April 5 - 7 Review Exam II Exam II, Thursday, April 7th. April 12 - 14 Introduction and Basic Theory:3.1 The Method of Elimination:3.2 The Matrix Method:3.3 Section 3.1 #1,5,7,11,13,23,29 Section 3.2 #3,5,7,11,19,21,25 Section 3.3 #1,5,7,13,19,23,29,35 April 19 - 21 The Laplace Transform and its Properties:4.2 The Laplace Transform Applied to Differential Equations:4.3 Review of Power Series:5.2 Section 4.2 # 1,4,7,14,17,28,31,43,49 Section 4.3 # 1,5,7,11,21,18,31,41 April 26 - 28 Review of Power Series:5.2 Ordinary Points and Singular Points:5.3 Power-Series Solutions about and Ordinary Point:5.4 Section 5.2 #1,3,4,7,11,19,21 Section 5.3 #1,5,7,11,14,17,18 May 3 - 5 Power Series Solutions about and Ordinary Point:5.4 Series Solutions about a Regular Singular Point:5.5 Introduction and Solution to Boundary Value Problems:6.1 Section 5.4#3,4,7,11,19,20,21 Section 5.5 #1,5,7,11,21,23,27,29 Section 6.1 # 1,5,7,11,15 May 10 Exam III Exam III, Tuesday May 10th. May 19 Final! Thursday, May 19th., 11:30AM - 2:30 PM., Kelley Hall 102