Study guide for exam 2, math 20d, Fall 2010Hint: Best way to study is to go over as many problems as you can in the book. Both in my notes (L) andin Boyce-DiPrima (BD).Correspondence is:L 2.5 is in BD chapter 3L chapter 3 is BD chapter 7L chapter 7 is BD chapter 5Here’s the summary.L 2.5: Nonhomogeneous equations. Be able to use undetermined coefficients. Be able to try the right formby looking at the complimentary solution and looking for conflicts.Be able to go through variation ofparameters.L 3.1: Systems. Be able to solve systems that can be solved one by one. Be able to convert higher orderequations into first order systemsL 3.2: Matrix algebra. Be able to do algebraic operations with matrices and vectors. In particular understandmatrix multiplication. Know how to compute determinant and how to understand if a matrix is invertibleor not. Be able to invert 2×2 matrices. Know how to solve linear systemsA~x=~b.
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