Foundations of Applied Mathematics (foam)




НазваниеFoundations of Applied Mathematics (foam)
Дата25.10.2012
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Foundations of Applied Mathematics (FOAM)

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)

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