Unit 1: Matrices

• Concept 1: Introduction to Matrices; Addition and Subtraction of Matrices
• Concept 2: Multiplication of Matrices
• Concept 3: Solving Systems Using Gauss- Jordan Elimination
• Concept 4: The Determinant; Inverse of a 2 x 2 matrix
• Concept 5: Cramer's Rule

Unit 2: Equations and Inequalities

• Concept 1: Quadratic Equations; Completing the Square
• Concept 2: Solving Polynomial Equations Algebraically
• Concept 3: Solving Polynomial Equations Graphically
• Concept 4: Radical Equations; Equations with Rational Exponents
• Concept 5: Solving Rational (Fractional) Equations
• Concept 6: Solving Absolute Value Equations
• Concept 7: Solving Inequalites; Rational Inequalities; Absolute Value Inequalities
• Concept 8: Partial Fraction Decomposition

Unit 3: Functions and their Graphs

• Concept 1: Evaluating Functions
• Concept 2: The Difference Quotient
• Concept 3: Piecewise Functions; Converting Absolute Value Functions to Piecewise Functions
• Concept 4: Shifting, Reflecting, and Stretching Graphs
• Concept 5: Combinations of Functions
• Concept 6: Composition of Functions
• Concept 7: Inverse Functions
• Concept 8: Combinations of Functions: (f +g)(x), (f - g)(x), etc

Unit 4: Polynomial and Rational Functions; Finding Zeros

• Concept 1: Solving Higher Degree Equations Algebraically
• Concept 2: Solving Higher Degree Equations Graphically
• Concept 3: Review of Imaginary and Complex Numbers
• Concept 4: Asymptotes, Holes and Graphing Rational Functions
• Concept 5: Graphing Quadratic Inequalities

Unit 5: Limits

• Concept 1: Techniques For Evaluating Limits
• Concept 2: Left and Right Hand Limits
• Concept 3: Limits Involving Infinity
• Concept 4: Continuity
• Concept 5: Asymptotes and Holes
• Concept 6: Limits Involving Trigonometric and Exponential Functions

Unit 6: Derivatives

• Concept 1: The Limit Definition of the Derivative
• Concept 2: The Power Rule Involving Algebraic Functions
• Concept 3: The Product Rule Involving Algebraic Functions
• Concept 4: The Quotient Rule Involving Algebraic Functions
• Concept 5: Applications of the Derivative: Tangent and Normal Lines

Unit 7: Trigonometric Functions and Graphs

Unit 8: Trigonometric Identities and Equations and Identities

• Concept 1: The Sum or Difference of Two Angle Measures (Optional CC Topic)
• Concept 2: Function Values of Half/Double Angle Measures (Optional CC Topic)
• Concept 3: Single Function First Degree Trigonometric Equations (Optional CC Topic)
• Concept 4: Single Function Second Degree Trigonometric Equations (Optional CC Topic)
• Concept 5: Trigonometric Equations With Two Functions (Optional CC Topic)

Unit 9: Applications Of Trigonometric Functions

• Concept 1: The Law of Sines
• Concept 2: Area of a Triangle
• Concept 3: The Law of Cosines
• Concept 4: The Ambiguous Case: How Many Triangles?
• Concept 5: Applications of Trigonometry; Force Problems

Unit 10: Exponential and Logarithmic Functions

• Concept 2: The Natural Base "e"
• Concept 3: The Logarithmic Function and its Graph
• Concept 4: Rules of Logarithms: Product, Quotient, Power
• Concept 5: The Natural Logarithm: lnx
• Concept 6: Solving Exponential Equations Using Logarithms
• Concept 7: Solving Logarithmic Equations
• Concept 8: Applications with Exponential & Logarithmic Functions

Unit 11: Sequences and Series

Unit 12: Polar Coordinates and Graphs

• Concept 1: Plotting Points in Polar Coordinates
• Concept 2: Converting Coordinates
• Concept 3: Converting Equations to Polar and/or Rectangular Form
• Concept 4: Graphs in Polar Coordinates

Unit 13: The Conic Sections

• Concept 1: The Circle
• Concept 2: The Parabola
• Concept 3: The Ellipse
• Concept 4: The Hyperbola
• Concept 5: Classifying the Conics