College-Algebra

Absolute value
Complex numbers

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

Equations

• Linear equations in one variable
• Linear equations in two variables
• A quadratic
• A circle

Exponents

• What are exponents?
• What are the exponents rules?

Factorization

• Factorizing quadratics
• Completing the square
• The quadratic formula

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:

• Absolute value function
• Quadratic equations

Inequalities

• Absolute value inequalities
• Linear inequalities
• Quadratic inequalities

Logarithms and Exponentials

• Introduction to logarithms
• Properties of logarithms
• Logarithmic function
• Exponential function
• Exponential growth and decay

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

• What are polynomials
• How to divide polynomials.

Probability

• Fundamental rule of counting
• Factorial of a number, n
• Permutations and combinations
• Probability of an event

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

• Arithmetic sequence
• Geometric sequence
• Harmonic sequence
• Summation notation
• Formulas to find sum of series of terms.

TOPICS RELATED TO COLLEGE ALGEBRA:

ARITHMETIC
INTERMEDIATE ALGEBRA
INTRODUCTORY ALGEBRA
BASIC ALGEBRA

 

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