Basic methods in numerical analysis will be oerviewd in the context of various themes in Chemical-Engineering, such as mass-balances, thermodynamics, separation, flow in a channel, correlations, heat transfer and reactors. The numerical implementation in Matlab and Polymath will include code-writing and algorythmic elements.

Syllabus

I. Mathematical modeling.

II. Matrix operation.

III. Basic algorithms.

IV. Logic and boolean operations.

V. Set of linear equations.

VI. Polynomial approxiamtions (linearization, interpolation-extrapolation).

VII. Solution of nonlinear equation.

VIII. Optimization

IX. Regression (linear and nonlinear).

X. Solution of an ordinary differential equation.

Bibliography

1. M.B Cutlip & M .Shacham, "Problem Solving in Chemical and Biochemical Engineering with POLYMATH, Excel and MATLAB", 2^{nd} Ed., Prentice Hall PTR, 2008.

2. J.B. Riggs, “An Introduction to Numerical Methods for Chemical Engineers”, 2^{nd} Ed., Texas Tech University Press, 1994.

3. S.C. Chapra & R.P. Canale, “Numerical Methods for Engineers”, 6^{th} Ed., McGraw Hill, 2010.