- Linear Equation ā Introduction
- Solving a Linear Equation
- Solving an Equation that Leads to a Linear Equation
- Applications of Linear Equations (Modeling)
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations by the Quadratic Formula
- Applications of Quadratic Equations (Modeling)
- Solving Quadratic Equations in the Complex Number System
- Adding, Subtracting, Multiplying and Dividing Complex Numbers and Powers of i
- Solving Radical Equations
- Solving Equations Quadratic in Form
- Solving Equations by Factoring
- Introduction of Interval Notation
- Using Properties of Inequalities
- Solving Inequalities and Combined Inequalities (part 1 and part2)
- Solving Absolute Value Equations
- Solving Absolute Value Inequalities
- Graphing Equations by Plotting Points
- Finding Intercepts of Graphs and Equations
- Calculate and Interpret Slope and Graphing Lines Given the point and slope
- Equations of Vertical Lines and Point-Slope Form of a Line and Horizontal Lines
- Equations of Lines Given Two Points and Using Slope Intercept Form of a Line
- Identifying Slope and y-intercept and Graphing in Standard Form using intercepts
- Finding Equations of Parallel and Perpendicular Lines
- Introduction to Direct Variation
- Introduction to Inverse Variation
- Introduction to Joint and Combined Variation
- Introduction to Functions
- Evaluating a Function
- Finding the Difference Quotient of a Function
- Finding the Domain of a Function
- Basic Operations of Functions
- Vertical Line Test
- Obtaining Information of the Graph of a Function
- Average Rate of Change relationship to slope
- Library of Functions
- Piecewise-Defined Functions
- Transformations with horizontal and vertical shifts
- Transformations with vertical and horizontal stretches and compressions
- Transformations with vertical and horizontal reflections
- Graphing Linear Functions revisited:
- Average Rate of Change of Linear Functions revisited
- Determining whether linear functions are increasing, decreasing or constant
- Building Linear Models from Verbal Descriptions
- Using Transformations to Graph Quadratic Functions
- Vertex and Axis of Symmetry Identification in Quadratic Functions
- Graphing of Quadratic Functions using its Vertex, Axis of Symmetry, and Intercepts
- Finding a Quadratic Function using the vertex and an additional point
- Finding the Maximum or Minimum Value of a Quadratic Function
- Building Quadratic Models from Verbal Descriptions
- Identification of Polynomial Functions and their Degree
- Graphing Polynomial Functions through Transformations
- Identifying Real Zeros of a Polynomial Functions and Multiplicities
- Graphing a Polynomial Function (Example)
- Finding Domain of Rational Functions
- Finding Vertical Asymptotes of Rational Functions
- Finding Horizontal and Oblique Asymptotes of Rational Functions
- Graphing Rational Functions (Example 1)
- Graphing Rational Functions (Example 2)
- Graphing Rational Functions (Example 3)
- Solving Quadratic Inequalities
- Solving Polynomial Inequalities
- Solving Rational Inequalities
- Composite Functions (Finding the Domain)
- Composite Functions (Forming)
- Finding the Inverse of a Function defined by an Equation:
- Obtaining the Graph of the Inverse Function from the Graph of a Given One to One Function
- Finding the Inverse Function of a Mapping or Set of Ordered Pairs
- Determining Whether a Function is One to One
- Introduction to Exponential Functions
- Graphs of Exponential Functions
- Solving Exponential Equation with Like Bases
- Definition of the Euler Function āeā
- Graphs of Logarithmic Functions
- Introduction to Solving Logarithmic and Exponential Equations
- Graphs of Logarithmic Functions
- Evaluating a Logarithm
- Introduction to Solving Logarithmic and Exponential Equations
- Finding the Domain of a Logarithmic Functions
- Introduction to Logarithmic with Exponential ā Logarithm Conversion
- Condensing Logarithmic Expressions Using Properties of Logarithms
- Expansion of Logarithmic Expressions Using Properties
- Change of Base Theorem
- Introduction to Properties of Logarithms
- Solving Exponential Equations
- Solving Logarithmic Equations
- Financial Modeling (Future Value of a Lump Sum of Money)
- Financial Modeling (Determining Time and Interest Rates of Lump Sum of Money)
- Financial Modeling (Present Value of a Lump Sum of Money)
- Law of Uninhibited Growth Applications (Modeling)
- Law of Uninhibited Decay Applications (Modeling)
- Logistic Growth Applications (Modeling)
- Systems of Equations with Two Variables Introduction and Solving by Substitution:
- Systems of Equations Solving by Elimination
- Solving Non-Linear Systems Introduction and Substitution
- Solving Non-Linear Systems Substitution and Elimination with applications (Modeling)