Barbara Zubik-Kowal's homepage

    MATH 537 - Applied Mathematics

    Spring 09

    TuTh 1:40-2:55pm, MG 120

    Final Exam: Thursday, May 14, 2009, 1:00-3:00 pm, MG 120.


    Instructor: Barbara Zubik-Kowal

    Office: MG 241 B, Phone: 426-2802

    Office Hours: Monday 8:40-9:30am, Tuesday 11:40am-12:30pm, Friday 8:40-9:30am.

    Textbooks: "An Introduction to Ordinary Differential Equations", J.C. Robinson, Cambridge University Press 2004, "Numerical Methods for Ordinary Differential Equations", J.C. Butcher, Wiley 2008, "Lectures on Partial Differential Equations", V.I. Arnold, Springer-Verlag 2004, "Solution Techniques for Elementary Partial Differential Equations", Christian Constanda, Chapman & Hall/CRC 2002, "Partial Differential Equations, Modeling, Analysis, Computation", R.M.M. Mattheij, S.W. Rienstra, J.H.M. ten Thije Boonkkamp, SIAM 2005, "Numerical Methods for Delay Differential Equations", A. Bellen, M. Zennaro, Oxford University Press 2003.
     

    Syllabus

    Survey of mathematical models for problems in the applied sciences and engineering, coming from areas such as fluid dynamics, solid mechanics, and electromagnetism. Ordinary and partial differential equations modeling physical problems will be studied. Mathematical techniques may include perturbation analysis, calculus of variations, stability theory and simple numerical methods. Programming assignments.



    In-class work, Test, Homework, Final Exam
    In-class work: these problems will be solved in class. This work will be based on the instructor's help during classes. Students will follow instructions, which lead to the solutions of these problems. In-class work will be collected at the end of each class meeting and will be graded.
    Homework: these problems have to be solved by using the strategies learned from the in-class work. Homework will be collected on the dates, which will be indicated on the days when it is handed out in the class.
    Test: Thursday, 02/19/2009 It will have both a take-home project and in-class components. Test problems will be based on the problems from in-class work and homework.
    Final Exam : Thursday, 05/14/2009, 1:00-3:00 pm It will be a take-home project due on this date at 1:00 pm.
    Grading Policy
    In-class work 25 %
    Homework 25 %
    Test 25 %
    Final Exam 25 %
    Total 100 %
    A+: 97% and above; A: 93%-97%; A-: 90%-93%; B+: 87%-90%; B: 83%-87%; B-: 80%-83%; C+: 77%-80%; C: 73%-77%; C-: 70%-73%; D+: 67%-70%; D: 63%-67%; D-: 60%-63%; F: below 60%.