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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