Readings

Primary Text

Notes on pertinent material will be provided.

Chapra, Steven C., and Raymond P. Canale. Numerical Methods for Engineers. 5th ed. Boston, MA: McGraw Hill, 2006. ISBN: 9780073101569. (Required textbook)

If you are not familiar with MATLAB® you have to go through MATLAB® help tutorial. However, a two sessions workshop will be presented in the first two weeks to help you accelerate your MATLAB® learning.

Other Useful Texts

Recktenwald, Gerald. Numerical Methods with MATLAB®: Implementation and Application. Upper Saddle River, NJ: Prentice-Hall Inc., 2000. ISBN: 9780201308600.

Chapra, Steven C. Applied Numerical Methods with MATLAB® for Engineers and Scientists. 2nd ed. New York, NY: McGraw-Hill Companies Inc., 2007. ISBN: 9780071259217.

All the readings below come from the required textbook.

Course readings.
SES #	TOPICS	READINGS
1	Introduction to numerical methods in engineering MATLAB® proficiency evaluation First day of classes	Sections P.T. 1.1-1.3 and 1.1-1.2
2	Number representations Errors of numerical operations Recursion	Sections 3.1-3.4
3	Error analysis Error propagation Condition numbers	Sections 4.1-4.5
4	Roots of non-linear equations General/Bisection/Secant/Newton-Raphson methods	Sections 5.1-5.4 and 6.1-6.5
5	Linear systems Gaussian elimination	Sections 9.1-9.8
6	Linear systems Multiple right-hand-sides LU factorization	Sections 10.1-10.3
7	Special matrices Examples	Section 11.1
8	Linear systems Iterative techniques Gauss-Seidel	Section 11.2
9	Root finding and linear systems Examples and applications	Sections 8.1-8.4 and 12.1-12.4
10	Optimization Curve fitting	Chapters 13, 14, and 17
11	Interpolation Polynomial interpolation Lagrange polynomials Splines	Sections 18.1-18.6
12	Fourier interpolation Fourier transforms	Sections 19.1-19.8
13	Quiz 1
14	Numerical integration Newton-Cotes Gaussian quadratutre	Sections 21.1-21.2 and 22.1-22.3
15	Numerical differentiation Finite differences Ordinary differential equations Initial value problems Euler's method	Sections 23.1-23.5 and 25.1-25.2
16	ODE-IVP Runge-Kutta methods	Sections 25.3-23.5
17	Higher order ODEs Boundary value problems	Sections 27.1-27.3
18	Partial differential equations Introduction Examples	Sections P.T. 8.1-8.2
19	PDE review
20	PDEs Parabolic equations	Sections 30.1-30.5
21	PDEs Elliptic equations	Sections 29.1-29.5
22	Finite element methods	Sections 31.1-31.4
23	Boundary element methods Panel methods (1)
24	Boundary element methods Panel methods (2)
25	Review
26	Quiz 2

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