Math 53 Syllabus, Fall 2009

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Week Topics Reading
1 Introduction, First order differential equations Chapter 1, beginning of Chapter 2.
2 First order differential equations Chapter 2
3 Linear algebra, complex variables Appendix A, 6.4-6.5, Appendix B
4 Linear algebra, Systems of two first order linear equations Appendix A, 6.4-6.5 Chapter 3
5 Systems of two first order linear equations Chapter 3,Chapter 6
6 Systems of n first order linear equations Chapter 6
7 Systems of n first order linear equations Chapter 6
8 The Laplace transform Chapter 5
9 The Laplace transform, Nonlinear equations Chapter 5,Chapter 7
10 Potpourri Prepare for the final