In Advanced Functions...(Course Breakdown)
Functions: Characteristics and Properties
 Properties of Graphs of Functions
 Sketching Graphs of Functions
 Exploring Operations with Functions
Functions: Understanding Rates of Change
 Determining Average Rate of Change
 Estimating Instantaneous Rates
 Solving Problems Involving Rates of Change
Polynomial Functions
 Exploring Polynomial Functions
 Characteristics of Polynomial Functions
 Properties of Graphs of Functions
 Polynomial Functions in Factored Form
 Transformations of Cubic and Quartic Functions
 Factoring a Sum or Difference of Cubes
Polynomial Equations and Inequalities
 Solving Polynomial Equations
 Solving Linear Inequalities
 Solving Polynomial Inequalities
 Rates of Change in Polynomial Functions
Rational Functions, Equations, and Inequalities
 Graphs of Reciprocal Functions
 Exploring Quotients of Polynomial Functions
 Graphs of Rational Functions of the Form f(x)
 Solving Rational Equations
 Solving Rational Inequalities
 Rates of Change in Rational Functions
Trigonometric Functions
 Radian Measure and Angles on the Cartesian Plane
 Exploring Graphs of the Primary Trigonometric Functions
 Transformations of Trigonometric Functions
 Exploring Graphs of the Reciprocal Trigonometric Functions
 Modelling with Trigonometric Functions
 Rates of Change in Trigonometric Functions
Trigonometric Identities and Equations
 Exploring Equivalent Trigonometric Functions
 Proving Trigonometric Identities
 Solving Linear Trigonometric Equations
 Solving Quadratic Trigonometric Equations
Exponential and Logarithmic Functions
 Exploring the Logarithmic Function
 Transformations of Logarithmic Functions
 Solving Logarithmic Equations
 Solving Problems with Exponential and Logarithmic Functions
 Rates of Change in Exponential and Logarithmic Functions
In Data Management...(Course Breakdown)
Tools for Data Management
 Statistics of One/Two Variable
 Permutations and Organized Counting
 Combinations and the Binomial Theorem
 Probability Distributions

In Calculus...(Course Breakdown)
Limits
 Limit of continuity at a point
 Limit as x Approaches to Infinity
Differential calculus
 Rules of Power, Sum and Difference
 Product Rule and Quotient Rule
 Derivative of Trigonometric Functions
 Derivative of Exponential Functions
 Derivative of The Natural Log Functions
Differential Calculus and Curve Sketching
 Curve Sketching  Increasing and Decreasing Functions
 Curve Sketching  Global Maxima and Minima
 The Second Derivative and its Application
 Rational Functions  Sketching the Graph
Applications of Differential Calculus
 Kinematics  Motion Along a Straight Line
 Applied Maxima and Minima Problems
Integration and Its Applications
 Antidifferentiation & The Indefinite Integral
 Determining The Indefinite Integral
 Applications of Integration
 Introduction to the Area Beneath a Curve
 The Definite Integral and Areas
 Applications to Kinematics
In Vectors...(Course Breakdown)
An Introduction to Vectors
 Addition and Subtraction of Vectors
 Multiplication of a Vector by a Scalar
 Vectors in R^{2} and R^{3}
 Operations with Algebraic Vectors in R^{2} and R^{3}
 Linear Combinations and Spanning Sets
Applications of Vectors
 The Dot Product of Two Geometric/Algebraic Vectors
 Scalar and Vector Projections
 The Cross Product of Two Vectors
 Applications of the Dot Product and Cross Product
Equations of Lines and Planes
 Vector and Parametric Equations of a Line in R^{2}
 Cartesian Equation of a Line
 Vector, Parametric, and Symmetric Equations of a Line in R^{3}
 Vector and Parametric Equations of a Plane
 The Cartesian Equation of a Plane
 Sketching Planes in R^{3}
Extension Concepts...(Course Breakdown)
 Integration By Substitution
