This is an archived course. A more recent version may be available at ocw.mit.edu.

Readings

Readings are assigned in the following textbooks:

Required

Buy at Amazon Logan, J. David. An Introduction to Nonlinear Partial Differential Equations. Hoboken, NJ: Wiley-Interscience, c2008. ISBN: 9780470225950.

Recommended

Buy at Amazon Logan, J. David. Applied Mathematics. Hoboken, NJ: Wiley-Interscience, c2006. ISBN: 9780471746621.

Buy at Amazon Howison, Sam. Practical Applied Mathematics: Modelling, Analysis, Approximation. Cambridge, UK; New York, NY: Cambridge University Press, 2005. ISBN: 9780521603690.

Buy at Amazon Whitham, G. B. Linear and Nonlinear Waves. New York, NY: Wiley, 1974. ISBN: 9780471940906.

Buy at Amazon Haberman, Richard. Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow: an Introduction to Applied Mathematics. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1998. ISBN: 9780898714081.

Readings about MATLAB

MATLAB on Athena

MATLAB tutorial

Weekly Reading Assignments

The reading assignments for weeks 2 through 14 are from the required book.

WEEK # TOPICS READINGS
1 Dimensional analysis. Scaling Buy at Amazon Lin, C. C. and L. A. Segel. Mathematics applied to Deterministic Problems in the Natural Sciences. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1988. ISBN: 9780898712292. Chapter 6, Pages 185-224.
2 Perturbation methods

Buy at Amazon Logan, J. David. Applied Mathematics. Hoboken, NJ: Wiley-Interscience, c2006. ISBN: 9780471746621. Chapter 2, Pages 85-123.
3 Introduction to PDE Chapter 1
4 Introduction to PDE (cont.) Chapter 1
5 First-order equations and MOC Chapter 2
6 First-order equations and MOC (cont.) Chapter 2
7 Weak solutions to hyperbolic equations Chapter 3
8 Weak solutions to hyperbolic equations (cont.) Chapter 3
9 Hyperbolic systems Chapter 4
10 Hyperbolic systems (cont.) Chapter 4
11 Diffusion and reaction processes Chapter 5
12 Diffusion and reaction processes (cont.) Chapters 5 and 6
13 Equilibrium models Chapter 7
14 Equilibrium models (cont.) Chapter 7