MAT 601 - Mathematical Computing

In the next few posts, we will put up the Master's level courses being taught by the SNU maths department.

Syllabus for MAT 601 – Mathematical Computing

Credits(Lec:Tut:Lab): 1:0:1 (1 lecture and 2 lab hours weekly)

Prerequisites:

Overview: In this course we introduce MATLAB as a platform for scientific computation and simulations; and follow with a brief introduction to C++ as a formal programming language. We also demonstrate how MATLAB and C++ can be integrated to build powerful applications. The course complements other graduate courses like Linear Algebra, Numerical Analysis and Optimization.

Detailed Syllabus:

1. MATLAB:

• Arithmetic expressions, assignment, input and output, Boolean expressions, conditional statements.
• For loop, while loop, nested loops, nested conditionals, vectors, elementary graphics, color schemes.
• Elementary mathematical functions, functions with multiple input parameters, graphics functions.
• Two dimensional arrays, contour plotting, sorting, searching, cell arrays, cell arrays of matrices, functions as parameters, structures.
• Working with image files, acoustic file processing, recursive functions, solving linear programming problems.

2. C++ Programming:

• Fundamental data types, operators, control structures, user defined functions
• Arrays, pointers, function pointers, multi- dimensional arrays
• Classes, constructors & destructors, bitwise operators
• Integrating C++ with MATLAB – calling MATLAB functions within a C++ program.

Main References:

1. Programming in Matlab for Engineers by Stephen J. Chapman. Cengage, 2011.
2. A Guide to Matlab by Brian R. Hunt, Ronald L. Lipsman and others. 2^nd edition, Cambridge, 2011.
3. Insight Through Computing: A MATLAB introduction to Computational Science and Engineering by Charles F. Van Loan and K. Y. Daisy Fan. SIAM, 2009.
4. Introducing C++ for Scientists, Engineers and Mathematicians by D. M. Capper. Springer India, 2001.

Other references:

1. Mastering Matlab 7 by Duane C. Hanselman and Bruce L. Littlefield. Pearson Education, 2005.
2. C++ Programming Language by Bjarne Stroustrup. 3^rd edition, Pearson, 2002.
3. Object Oriented Programming in C++ by R. Lafore. 3^rd edition, Galgotia, 2006.