To get a quick view on what the course on ``Introduction to Computational Mathematics is about, it is useful to do a web-search with the key word:
`` What is numerical analysis''. If you do so using google as the search engine, the first entry you will get is:
http://en.wikipedia.org/wiki/Numerical_analysis;
I recommend that to you highly as the first reading assignment.

As to the course, this is an elementary level of the course for computational mathematics. This means that the topics to be included will be the basic ones in the subject in that the level of mathematics required will not exceed too much from the courses you have learned in your first and second years at the university. To be specific, they are:
1. Root finding for nonlinear equations
2. Direct solvers for linear systems
3. Numerical methods for nonlinear systems
4. Iterative solvers for linear systems
5. Polynomial interpolation
6. Function approximation
7. Numerical quadrature
8. Eigenvalue problems and eigenvalue algorithms