Foundations of Applied Mathematics (foam)
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MATH-4700 Fall 2010 Instructor: Donald A. Drew Email: drewd@rpi.edu Office Hours: M10-11, R4-5 (check with me after class) Office: Amos Eaton 306 Phone: 276-6903 Approximate Schedule Weeks 1, 2 Dimensional Analysis, Scaling Weeks 3, 4 Regular Perturbations Weeks 5, 6 Singular Perturbations Exam 1 Weeks 7, 8 Chemical Kinetics Weeks 9,10 Diffusion, Random Walks and Brownian Motion Exam 2 Weeks 11,12 Traffic Flow and Waves Weeks 13,14 Continuum Mechanics Exam 3 Academic Integrity: I encourage you to work in small groups on the homework. However, each student should turn in a written document that suggests some understanding of the material, and is not a direct copy of anyone else’s paper. Of course, work on examinations must be that of the student signing the paper. No cellphones or other communications devices are allowed during exams. A one page (two sided) HANDWRITTEN crib sheet will be allowed for each exam. Student Learning Outcomes: Develop symbol manipulation, mathematical modeling, and proof skills. Develop a thorough understanding of dimensional analysis and scaling, conservation laws, and the first principles of continuum mechanics.Text: Introduction to the Foundations of Applied Mathematics by M. H. Holmes Additional References Mathematics Applied to Deterministic Problems in the Natural Sciences by Lin and Segel Mathematical models: mechanical vibrations, population dynamics, and traffic flow: an introduction to applied mathematics by R. Haberman Introduction to Perturbation Methods by M. H. Holmes Grading: Homework: 40%, Exams 60% (no final exam) |
