Linear Algebra

Nowadays, many problems of science and technology are depended, formulated and solved by theoretical tools and practical algoritmhs developed within the scientific field of Linear Algebra. The first-year course of Linear Algebra aims to familiarize students with this area, to give them the right bases which will be necessary for a succeful attending of many other courses, and also to teach them how to evaluate this field of studies that has been indicated as one of the most useful and beautiful topics, as it is the place where people of mathematics, computations and modeling meet together. We should note that the section of Linear Algebra concering the theory and the management of matrices, and which is occupying a large part of this course, has been developed so much that usually it is concerned as an independent from Linear Algebra topic.

Objectives

The first-year course of Linear Algebra aims to familiarize students with this area, to give them the right bases which will be necessary for a succeful attending of many other courses, and also to teach them how to evaluate this field of studies that has been indicated as one of the most useful and beautiful topics, as it is the place where people of mathematics, computations and modeling meet together

Prerequisites

Mathematical Analysis

Syllabus

Introduction in Vectors and Matrices Solving Linear Systems Vector Spaces and Subspaces Orthogonality Determinants Eigenvectors and Eigenvalues Linear Transformations