MMT_2015
Matlab's Math Toolbox
Senior Seminar in Scientific Computing

http://people.sc.fsu.edu/~jburkardt/classes/mmt_2015/mmt_2015.html

MMT_2015 is the home page for the class ISC4932, "Matlab's Math Toolbox", Senior Seminar in Scientific Computing, an undergraduate seminar class offered by the Department of Scientific Computing at Florida State University, Fall Session 2015.

This is a 1-credit seminar class, intended to introduce the students to ideas, algorithms, and programs common to Scientific Computing. The topic this semester will be numerical linear algebra.

There are a number of tasks in scientific computing for which reliable algorithms are known. As any programmer knows, however, an algorithm is of little use until it has been correctly and efficiently implemented in a computer programming language. Students who have just had a class in numerical methods are tempted to write their own version of everything they need to do, but the wiser person will first check to see if someone has already done the job carefully. The Matlab Math Toolbox provides every scientific programmer with a powerful, effective, and versatile set of basic algorithm implementations, allowing the programmer to concentrate on the big picture.

This class will provide an overview of the many items available in the toolbox, present a few model problems, and show how the Math Toolbox can be used to make a concise and correct solution.

The class meets on ?days, from ?to?, in room ?.

A tentative schedule:

• Elementary Math:
  Trigonometry, exponentials and logarithms;
  Complex values;
  Rounding, remainders;
  Descriptive statistics;
  Discrete math;
  Coordinate system conversion.
• Linear Algebra:
  Matrix analysis;
  Linear equations;
  Eigenvalues;
  Singular values;
  Logarithms, exponentials, factorization.
• Random Number Generation:
  Seeds;
  Sampling from a given distribution;
  Choice of algorithms.
• Interpolation:
  Data interpolation;
  Data gridding;
  Polynomial evaluation;
  Nearest point search.
• Optimization:
  Minimum of a single function;
  Minimum of a multivariable function;
  Nonnegative least-squares constraint problems
• Numerical Integration and Differential Equations:
  Numerical integration;
  Ordinary differential equations;
  Partial differential equations;
  Boundary value problems
• Fourier Analysis and Filtering:
  Fourier transforms;
  Convolution;
  Digital filtering
• Sparse Matrices:
  Elementary sparse matrices;
  Reordering algorithms;
  Iterative methods;
  Tree operations
• Computational Geometry:
  Triangulation;
  Bounding regions;
  Voronoi diagrams