Lecture Schedule from the second exam to the third exam Lecture 17 3/21/2000 Systems of Differential Equations, Converting an Equation into a System, Matrices Sections 7.1, 7.2 page 340, #1-3,7, page 351,#2,10,11,23,24,25. Lecture 18 3/23/2000 Linear Equations, Eigenvalues and Eigenvectors, Solving Constant coefficient equations from eigenvalue and eigenvector information Section 7.3, 7.4, 7.5 page 363, #1-5,6,7, page 378, #1-4. Graphical solutions (dfplot pictures). Lecture 19 3/28/2000 Complex Eigenvalues, Read section 7.6. Work problems on page 387, # 1-6 (extra credit 7,8), 9, 10. Lecture 20 3/30/2000 More on complex eigenvalues, classification of systems by type, Read section 9.1, do at least the following problems on page 469: #3-10, 13-15, 17. Lecture 21 4/4/2000 Autonomous systems, equilibrium points, linear approximations and stability, Read sctions 9.2 and 9.3. Do problems on page 478: #5-12; page 488: #1-4. Lecture 22 4/6/2000 More examples (mostly from biology): Sections 9.4 and 9.5. Suggested problems on page 502; #1-7, page 510 #1-5. (You are not responsible for memorizing the examples, but you should understand how they are worked). Lecture 23 4/11/2000 Review for third in-class exam THIRD EXAM: 4/12/2000 in your TA section. The exam covers 7.1-7.6; sections 9.1-9.4.