## Algebra and Trigonometry Prerequisites

### 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
• Polynomials
• Rational Expressions

### 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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