8/7 - Final Info: Tentative and subject to change. The exam will focus, predictably, on solving differential equations. What this means is that I don't plan to ask direct questions on background material. In particular, I don't plan to ask questions directly from sections 3, 4, 9, or on the chain rule in section 5. Calculations with Laplace transforms are absolutely guaranteed to be on the exam, but what percent of the exam will be comprised of such questions is yet to be determined. I will not put a power series question on the exam. Questions about Picard's method, Orthogonal Families, and Differential Operators may or may not be on the exam. Aside from that, there will be a variety of equations to solve, requiring the use of a number of techniques. I haven't yet decided whether you will have to recognize what technique to use, or whether I will tell you. I can guarantee that there will be at least one separable equation, and at least one problem from section 13.
7/20 - Exam 2 Info: The exam will cover all sections up to and including section 9 (Complex Numbers), with a focus on sections 7, 8, and 9. You are expected to know the terminology used, such as order of of DE, linear functions (and operators), linear (in)dependence, linear combination, determinant, homogeneous polynomials and homogeneous equations. The problems will for the most part be very similar to the assigned homework problems, but you are expected to recognize the proper method of solution, or find a method that works, since often multiple methods may apply. You may be expected to check your answers. If you would like to see more problems from a particular section, let me know and I'll try to post some more. Section 10 and the Wronskian will not be covered on the test. If you have any questions, please email me and I'll get back to you as soon as I can. I won't be around tomorrow, but I may be on campus sunday. Have a good weekend.
7/19 - There were a couple of typos in the answers for the substition sheet, which have been fixed. (Problems 1 and 5)
| Week 1: Sections 1-5 | |||||
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7/9 Intro, Separable Eqs, Picards Thm. S1: 1-22 |
7/10 Linear Algebra. S2: 1-19 S5: 6,7,8 |
7/11 Eigenvectors. S3: 1-3 S4: 1-2 Page 109: 1-5 |
7/12 Multivariable Chain Rule. Quiz on Sep. Eq. S4:4-9 S5:1-5 |
7/13 Exact Equations Quiz on Lin. Alg., Picard S6: 1-9,11 (10 optional) |
Review for Exam 1: p110: 1 (a, b), 2, 3 p111: 1-5, 7,8 p112: 1,2, 3 (a,b,c,f,g,i) |
| Week 2: Sections 7-10 | |||||
| 7/16 Hr 1: Substitutions Hr 2: Review |
7/17 Hr 1: Exam 1 Hr 2: Orth. Families |
7/18 Linear DEs HW: Substitution exercise sheet S7:5-10 |
7/19 Complex Numbers S8:1-13 S9:1-7 |
7/20 2nd Order Linear DEs S10:1-8 Page 113: 1,3,4 |
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| Week 3: Sections 11-15 | |||||
| 7/23 |
7/24-Exam 2 S11: 1-10 |
7/25 S12: 1-8 Page 112: 3(d,g,h) Page 113: 2,4,5,6 |
7/2-Quiz on S10 S13: 1-13 Page 113: 7(a,b) |
7/27-Quiz on S11 |
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| Week 4: Sections 16-20 | |||||
| 7/30-S16 S16: 1-12 |
7/31-Exam 3 |
8/1-S17/18 Quiz (S4) S17: 1-5 |
8/2-S18/19 Quiz (S16) S18:1-8 |
8/3-S19/20 S19:1-9 page 115,116:5,6,8(a,b,d),9 |
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| Week 5: Section 21 and review | |||||
| 8/6 |
8/7-Exam 4 S20: 1-5 page 118: 1-8 (replace "annihilator method" with "integrating factor") |
8/8 |
8/9 |
8/10-Final |
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