MTH 243 - Mathematics II

Unit 1: Functions and Graphs

Unit 2: Factoring and Fractions

Unit 3: Quadratic Equations

Unit 4: Graphing Trig Functions

Unit 5: Exponents and Radicals

Unit 6: Exponential and Logarithmic Functions

Unit 1: Functions and Graphs

- Introduction to Functions 1
- Introduction to Functions 2
- Introduction to Functions 3
- Introduction to Functions 4
- Evaluate a Formula or Function Using Substitution
- Domain and Range of a Function 1
- Domain and Range of a Function 2
- Domain and Range of a Function 3
- The Coordinate Plane
- Plotting (x,y) Coordinates
- Finding the Length of a Line Segment or Finding the Distance Between Two Points (Distance Formula)
- Graphing a Basic Function
- Graphing a Quadratic Function
- Graphing Exponential Functions
- Graphing Square Root Functions

Unit 2: Factoring and Fractions

- Binomial Squared (Special Products in Algebra)
- Difference of Squares (Special Products in Algebra)
- Finding The Greatest Common Factor (GCF)
- More GCF Examples
- Common Factoring Example
- More Common Factoring Examples
- Factoring Easy Trinomials (Trinomial with a Leading One Coefficient)
- Factor by Grouping (Triple Common Factor)
- Factoring Hard Trinomials (Trinomials with a Non-One Coefficient)
- Factoring a Trinomial with a Common Factor First
- Factoring a Perfect Square Trinomial
- Factoring Sums of Cubes
- Factoring a Difference of Cubes
- Simplifying Rational Expressions
- Multiplication and Division of Rational Expressions
- Adding and Subtracting Rational Expressions Example 1
- Adding and Subtracting Rational Expressions Example 2
- Adding and Subtracting Rational Expressions Example 3
- Solving Rational Equations Example 1
- Solving Rational Equations Example 2

Unit 3: Quadratic Equations

- Solving Quadratics by Factoring Example 1
- Completing the Square
- Completing the Square to Solve Quadratics
- Quadratic Formula 1
- Quadratic Formula 2
- Quadratic Formula 3
- Quadratic Formula 4
- Graphing a Quadratic

Unit 4: Graphing Trig Functions

- Graphs of Trigonometric Functions
- Graphing Trigonometric Functions: Translations
- Finding the Trigonometric Equation From the Graph 1
- Finding the Trigonometric Equation From the Graph 2

Unit 5: Exponents and Radicals

- Law of Exponents: Multiplication (LEM)
- Law of Exponents: Division (LED)
- Law of Exponents: Powers (LEP)
- Simplifying Rational Expressions Using Exponent Laws - Example
- Law of Exponents: Extension of LEP 1
- Law of Exponents: Extension of LEP 2
- Law of Exponents: Negative Exponents
- Rational Exponents and Exponent Laws
- Simplifying Expressions With Rational Exponents
- Simplifying Radical Expressions Example 1
- Simplifying Radical Expressions Example 2
- Simplifying Radical Expressions Example 3
- How to Rationalize a Denominator
- Addition of Radical Expressions
- Subtraction of Radical Expressions
- Adding and Subtracting Radical Expressions
- Multiplying Rational Expressions Example 1
- Multiplying Rational Expressions Example 2
- How to Rationalize a Denominator

Unit 6: Exponential and Logarithmic Functions

- Graphing Exponential Functions
- Solving Exponentials with Logarithms
- Logarithm Properties (Sum and Difference Properties)
- Logarithm Properties (Multiple Property and Change of Base)
- Proof of the Sum Property of Logarithms
- Proof of the Difference and Multiple Property of Logarithms
- Simplifying Logarithms
- Change of Base Formula
- Calculating a Logarithm with a Calculator
- Logarithmic Equations
- Solving Logarithmic Equations

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