## 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

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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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