Algebra and Trigonometry Prerequisites

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Course Desctription

Algebra and Trigonometry Prerequisites is the first course in a series of 29 courses in mathematics offered by Great IT Courses to help you master your mathematics.

Topics Covered in Algebra Trigonometry: Prerequisites

Topics covered in this course are, 

  • Real Numbers 
  • Exponents and Scientific Notation
  • Radicals
  • Polynomials
  • Rational Expressions

Watch Sample Course Videos on Youtube

In order to watch a few sample lectures of this course on Youtube, please follow the link below. It will take you to the relevant Youtube playlist. 

Course Curriculum

Section 1 - Real Numbers: Algebra Essentials

Section 1 - Real Numbers: Algebra Essentials

Brief History of Numbers – Section 1.1 A brief history of numbers from 10000 years ago
The Universe of Numbers A representation of the whole universe of numbers
Real Numbers Classification Different subsets of real numbers
Real Numbers Exercises Exercise – classifying numbers as rational, irrational, natural, whole, integer
Real Number Line Explanation of the real number line
Real Numbers Exercise Exercise – classifying numbers as rational, irrational, natural, whole, integer
Order of Operations order of operations explanation – PEMDAS
Order of Operations Exercise Exercise – order of Operations
Properties of Real Numbers Commutative property of addition and multiplication, Associative property of addition and multiplication
Properties of Real Numbers Distributive Property
Properties of Real Numbers Distributive Property Special Case
Properties of Real Numbers Identity Property of Addition and Multiplication
Properties of Real Numbers Inverse Property of Addition and Multiplication
Properties of Real Numbers Properties of Real Numbers General Overview
Properties of Real Numbers Exercises (Part 1 of 3) Exercise – Properties of Real Numbers
Properties of Real Numbers Exercises (Part 2 of 3) Exercise – Properties of Real Numbers
Properties of Real Numbers Exercises (Part 3 of 3) Exercise – Properties of Real Numbers
Algebraic Expressions  Algebraic expressions Definition and Evaluation
Algebraic Expressions Exercises (part 1 of 2) -
Algebraic Expressions Exercises (Part 2 of 2) -
Formulas and Equations -
Simplifying Algebraic Expressions -
Simplifying Algebraic Expressions Exercises -
Section 2 - Exponents and Scientific Notation

Section 2 - Exponents and Scientific Notation

Exponential Expressions and Scientific Notation -
Product Rule of Exponents -
Quotient Rule of Exponents -
Quotient Rule of Exponents Exercises -
Power Rule of Exponents -
Power Rule of Exponents Exercises -
Zero Exponent Rule of Exponents -
Zero Exponent Rule of Exponents Exercises -
Negative Rule of Exponents -
Negative Rule of Exponents Exercises -
Power of Product Rule of Exponents -
Power of Product Rule of Exponents Exercises -
Power of Quotient Rule of Exponents -
Power of Quotient Rule of Exponents Exercises -
Simplifying Exponential Expressions Exercises Exercise - Simplifying Exponential Expressions
Scientific Notation (Part 1 of 2) -
Scientific Notation (Part 2 of 2) -
Standard to Scientific Notation Conversion Exercises Exercise - Standard to Scientific Notation Conversion
Scientific to Standard Notation Conversion Exercises Exercise - Scientific to Standard Notation Conversion
Scientific Notation Use Case Why you should use scientific notation
Scientific Notation Exercises (Part 1 of 2) -
Scientific Notation Exercises (Part 2 of 2) -
Section 3 - Radical and Rational Expressions

Section 3 - Radical and Rational Expressions

Radical Expressions Introduction -
Square Roots Definition -
Square Roots Exercises -
Product Rule to Simplify Square Roots Product Rule to Simplify Square Roots Explanation
Product Rule to Simplify Square Roots Exercises (Part 1 of 2) -
Product Rule to Simplify Square Roots Exercises (Part 2 of 2) -
Quotient Rule for Simplifying Square Roots  Quotient Rule for Simplifying Square Roots Definition and Examples
Quotient Rule for Simplifying Square Roots Exercises (Part 1 of 2) -
Quotient Rule for Simplifying Square Roots Exercises (Part 2 of 2) -
Rationalizing Denominators Two techniques to rationalize denominators containing radical expressions
Rationalizing Denominators Exercises -
Rational Roots -
Rational Roots Exercises (Part 1 of 3) -
Rational Roots Exercises (Part 2 of 3) -
Rational Roots Exercises (Part 3 of 3) -
Rational Exponents  -
Rational Exponents Exercises -
Section 4 - Polynomials

Section 4 - Polynomials

Polynomials Introduction -
Polynomials Definition Definition of Polynomials and Important Terms
Polynomials Exercises -
Adding Polynomials Adding Polynomials Explanation and Exercises
Multiplying Polynomials Multiplying Polynomials using Distributive Property, Table and FOIL methods
Multiplying Polynomials – Perfect Square Trinomials Expanding Polynomials using Perfect Square Trinomials Rule
Multiplying Polynomials – Difference of Squares Expanding Polynomials using Difference of Squares Rule
Polynomials of Several Variables Performing Operations With Polynomials of Several Variables
Section 5 - Factoring Polynomials

Section 5 - Factoring Polynomials

Greatest Common Factor (GFC) Factoring the Greatest Common Factor in a Polynomial
Greatest Common Factor Exercises -
Factoring Trinomials with Leading Coefficient 1 Factoring Trinomials with Leading Coefficient 1 Explanation and Definition
Factoring Trinomials with Leading Coefficient 1 Exercises -
Factoring Trinomials with Leading Coefficient Other Than 1 Factoring Trinomials with Leading Coefficient 1 Explanation
Factoring Trinomials with Leading Coefficient Other Than 1 Exercises -
Factoring Perfect Square Trinomials Factoring Perfect Square Trinomials Explanation
Factoring Perfect Square Trinomials Exercises -
Factoring a Difference of Squares  Factoring a Difference of Squares Explanation and Examples
Factoring the Sum and Difference of Cubes Factoring the Sum and Difference of Cubes Explanation and Examples
Factoring Expressions with Fractional or Negative Exponents Factoring Expressions with Fractional or Negative Exponents Explanation and Exercises
Factoring Expressions with Fractional or Negative Exponents Exercises -
Section 6 - Rational Expressions

Section 6 - Rational Expressions

Rational Expressions Rational Expressions Introduction and Examples
Simplifying Rational Expressions Simplifying Rational Expressions Explanation and Exercises
Multiplying Rational Expressions Multiplying Rational Expressions Explanation and Exercises
Dividing Rational Expressions Dividing Rational Expressions Explanation and Exercises
Adding and Subtracting Rational Expressions -
Adding and Subtracting Rational Expressions Exercises -
Simplifying Complex Rational Expressions Simplifying Complex Rational Expressions Explanation and Exercises

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