Day Topics Read Homework 05/31 Review of CalculusIntroduction to ODEs Section 2.2,2.4,2.5 Sec1.3,#2,8,17,21Sec2.1,#2,6,7,10,13,14 06/02 Solution to Separable EquationsLinear Equations Section 2.4,2.7,2.8 Sec 2.2 #3,10,15,22Solution 06/07 Linear EquationsExistence and Uniqueness of ODEs Section 4.1,4.2,4.3 Sec 2.4, #2,7,13,37Sec 2.7, #1,2,6,9,26,30 06/09 Second-order Equations and Systems Section 4.3,4.5 Sec 4.1 #4,7,9,12,13Sec 4.2 #2,4,6 06/14 Linear, Homogeneous Equations with Constant CoefficientsInhomogeneous Equations Section 4.6 Sec 4.3 #2,10,18,21,22,24 Solution 06/16 Variation of Parameters Review for the Exam #1 Section 7.1,7.2 Sec 4.5 #2,6,17,19,25 Sec 4.6 #3,5 06/21 Vectors and MatricesGeometry of Systems of Linear Equations Section 7.3,7.4 Sec 7.1 #34,36,42,44,51,53 and the extra problem assigned in classSec 7.2 #1,3,6, Solution Solution of the Exam #1 06/23 Solving Systems of EquationsProperties of Solution Sets Section 7.5,7.6 Sec 7.3 #14,16,17,23,24 06/28 Subspaces Section 8.1,8.2 Sec 7.4 # 4,8,10,17,20,24,29Sec 7.5 #2,6,13,29 06/30 DeterminantsIntroduction to Systems Qualitative Analysis Section 8.4 Sec 7.6 #7,12,26Sec 8.1 #7,12,20 Sec 8.3 #2,7 07/05 Linear SystemsReview for the Exam #2 Section 9.1,9.2 Sec 8.4 #2,13,16,29,30 07/07 Overview of the TechniquePlanar Systems Section 9.4,9.5 Sec 9.1 #10,12,21,23Sec 9.2 #4,23,24,37,38,44 07/12 Higher Dimensional SystemsExponential of a Matrix Section 9.7,9.8 Sec 9.4 #7,21,27,40,48Sec 9.5 #17,18,34 07/14 Higher Order Linear EquationsInhomogeneous Systems Section 10.1 Sec 9.7 #10,15,25,28,31,40 Solution 07/19 Linearization of Nonlinear Systems Sec 9.8 #1,7Sec 10.1 #2,4 07/21 Review for the final exam Final Exam and its solution