1. Numerical Method for Engineers - S. C. Chapra and R.P. Canale, McGraw Hill         pdf
   
2. Applied Numerical Analysis using MATLAB - L. V. Fausett  Pearson Education        
   
3. Numerical Computing with MATLAB - Cleve Moler
   
4. Matlab Programming Fundamentals   pdf        

ESC 503 is a postgraduate level course on basic principles of numerical computation with the help of MATLAB. The purpose of this course is to understand the basic idea of computer programming using MATLAB so as to enhance problem solving skills. The different numerical and statistical methods such as regression, interpolation, different techniques for solving linear and non-linear equations will be discussed. Supplementary materials will be provided for additional reading to clarify and exemplifying the concepts that would be required to implement/solve real world environmental problems.

Module: 1
Introduction to MATLAB Programming: Basics of MATLAB programming, Matrices in MATLAB, Basic Matrix Operations, Array operations, Loops and execution control, working with files: Scripts and Functions and Plotting and program output.

Module: 2
Approximations and Errors: Defining errors and precision in numerical methods, Truncation and round-off errors, Error propagation.

Module: 3
Linear and Nonlinear Equations: Gauss Elimination, Iterative methods: Gauss Siedel, Special Matrices: Tri-diagonal matrix algorithm, Nonlinear equations in single variable, MATLAB function fzero in single variable, Newton-Raphson in single variable, MATLAB function fsolve in single and multiple variables, Newton-Raphson in multiple variables.

Module: 4
Regression and Interpolation; Introduction, Linear least squares regression including lsqcurvefit function, Functional and nonlinear regression including lsqnonlin function. Application of MATLAB for Environmental Engineers.