Study Sheet for Chapter 7


Test 1 is on Friday September 22. It is your responsibility to master the material in Chapter 7, Systems of First Order Linear Equations by that time. Below is a list of suggested homework programs. Most of the answers are in the back of your textbook, but you may turn in any problems you wish me to look over. Also below is a list of important concepts and two practice tests.

Suggested Homework Problems
SectionProblems
7.11, 2, 4, 7, 14, 18
7.22, 4, 7, 8, 16, 19, 22, 23, 24
7.31, 5, 6, 8, 12, 13, 15, 19, 22, 24, 25, 28, 30, 31
7.42, 4, 5, 6
7.51, 2, 4, 5, 8, 9, 12, 15, 17, 19, 20
7.61, 2, 5, 7, , 9, 10, 11, 13, 16
7.73, 6, 8, 10, 12, 13, 15, 16
7.81, 2, , 5, 7, 10, 11, 13, 17, 18
7.91, 3, 5, 12, 13, 14, 17

Important Concepts
Eigenvectors and values of a matrix.
Converting between higher order equations and systems of equations.
Linear dependence/independence and the Wronskian.
Fundamental Matrices.
Homogeneous vs. nonhomogeneous systems.
exp(A)

Practice Tests
Practice Test 1.1
Practice Test 1.2