Algebra
The objective of the subject, along with other general subjects, is to prepare undergraduate students to teach specialized subjects. The study of algebra starts with complex numbers. The knowledge gained about matrices and determinants makes it possible to study the solution of a system of linear equations and write the system in the form of a matrix equation. Topics related to matrix equations, inverse matrices, linear and Euclidean spaces, and linear operators are finite-dimensional analogs to many of the topics studied in functional analysis. Quadratic forms and their canonical form play an important role in the classification of equations of mathematical physics. In general, the subject of algebra is directly related to the subjects "Mathematical Logic", "Mathematical Analysis", "Theory of Functions of Complex Variables", "Differential Equations", "Equations of Mathematical Physics" and "Functional Analysis". Algebra is important in mathematics and software of modern computers, in cryptography, and in securing computer networks.
