## College-Algebra

Complex numbers

• Definition of complex numbers.
• Parts of a complex number.
• Operations on complex numbers.

Equations

Exponents

Factorization

Functions

• Definition of a function
• Domain and range of a function
• Composition of functions
• Graphs of functions
• Inverse functions
• Transformations of functions
• graphs of functions
• Types of functions

Graphs of:

Inequalities

Logarithms and Exponentials

Matrices

• Definition of a matrix
• Various types of matrices
• How to multiply matrices
• How to take determinant of a matrix
• How to find inverse of a matrix
• How to solve a system of linear equations with the help of matrices.

Polynomials

Probability

Quadratic Equations and their graphs – parabolas
Rational Expressions

• Operations on rational expressions:
• How to add rational expressions
• How to subtract rational expressions
• How to multiply rational expressions
• How to divide rational expressions
• How to solve rational equations

Sequences and Series

Set Theory

TOPICS RELATED TO COLLEGE ALGEBRA: