Course Language:

English

Course Objectives:

To provide tools for dealing with problems in many fields from a variety of disciplines and to serve as a bridge from the typical intuitive treatment of calculus to more rigorous courses such as abstract algebra and analysis.

Course Content:

Characteristic and minimal polynomials of an operator, eigenvalues, diagonalizability, canonical forms, Smith normal form, Jordan and rational forms of matrices. Inner product spaces, norm and orthogonality, projections. Linear operators on inner product spaces, adjoint of an operator, normal, self adjoint, unitary and positive operators. Bilinear and quadratic forms.

Course Methodology:

1: Lecture, 2: Problem solving, 3: Question – Answer, 4: Homework

Course Evaluation Methods:

A: Written examination, B: Homework