MATH 246 (Dr. Rosenberg's sections):
Topics for Exams

Topics from Boyce/DiPrima: Ch. 1 (all, but there's not much there to test on); Ch. 2, 2.1-2.8. However, you can skip the following subtopics: explicit discussion of the phase line and bifurcation in 2.5, integrating factors in 2.6 (though integrating factors in 2.1 are included). Skip 2.9. You are also not responsible for the proofs in 2.8.; Ch. 8, sections 8.1-8.3 and 8.5. (But 8.2, 8.3 are only covered lightly. What this means in more detail is that you are responsible for the Euler method, but not for "backward Euler" in 8.1. You should know the basics of 8.2, but can skip "modified Euler" that appears in the last few exercises of 8.2. With regard to Runga-Kutta, you should know that the global truncation error is bounded by Ch⁴ for some C, but you don't have to remember the formulas in 8.3.)
Topics from DE with MATLAB: Ch. 5, 6, 7. Especially important are 5.2-5.3, all of 6, and 7.4.
Guidelines for the Exam: The exam is "closed book".; You are allowed a calculator, but not a laptop computer.; MATLAB coding will not be tested, but there may be problems asking for interpretation of MATLAB output.

Topics from Boyce/DiPrima: Ch. 3 (all)
Topics from DE with MATLAB: Ch. 8-10. You should go over the "theory topics" from Ch. 10, especially 10.3, "Comparison Methods". But 10.4 won't be covered.
Guidelines for the Exam: Same as for the First Exam.

Topics from Boyce/DiPrima: Ch. 6-7. Sections 7.7 and 7.8 won't really be covered, as we didn't yet say much about them in class. In Chapter 7, you should focus on 7.5, 7.6, and 7.9.
Topics from DE with MATLAB: Ch. 12-13, plus the general principles of error analysis and stability (from earlier chapters) as they apply in this context.
Guidelines for the Exam: Same as for the First Exam, except that you will be provided with a table of Laplace transforms (copied from Boyce and DiPrima). The exam will focus on solving inhomogeneous linear second order ODEs with constant coefficients using Laplace transforms, and solving systems of two linear first order ODEs with constant coefficients, using eigenvalues and eigenvectors (and undetermined coefficients in the inhomogeneous case).

This exam is uniform (over all sections of MATH 246) and cumulative (over the whole course).
Please arrive by 1:20 PM and bring your photo ID.
Room Assignments:: Hantao Mai's sections: HHP (North Gym) 1312; Dongming Wei's sections: ARM 0126
Guidelines for the Exam: Same as for the First Exam.
Sections you can skip in Boyce-DiPrima:: 2.9, all of Chapters 4-5, 7.7, 8.4, 8.6, 9.6-9.8
Extra review session: Friday, May 13, 10:00am-12:00pm, Francis Scott Key Hall, 0106.

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MATH 246 (Dr. Rosenberg's sections):Topics for Exams