Courses
- Linear Algebra (90905) Course summary:
- Numerical Analysis (90925) Course summary:
Abstract:
The first part of the course is dedicated to study of techniques for
solving systems of linear equations. Several basic methods are presented:
Gauss elimination, matrix solution, Cramer rule.
The last two methods involve matrix arithmetic, which is also presented in this part. The second part discusses vector spaces and linear transformations. Most attention is given to the matrix approach. Matrix diagonalization issues summarize this part.
The last part of the course study inner product spaces and their basic properties.Abstract:
Interpolation and approximations methods, error analysis.
Numerical integration, differentiation.
Ordinary differential equations solution, Solutions to non-linear equations.
Solutions to a set of Linear equations.