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Rational Functions

• End Behavior of Rational Functions
• Discontinuities of Rational Functions
• Adding and Subtracting Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions
• Reducing Rational Expressions to the Lowest Terms
• Graphing Rational Functions

Conic Sections

• Conic Sections
• Classifying a Conic Section (in Standard Form)
• Hyperbola in Standard Form and Vertices, Co– Vertices, Foci, and Asymptotes of a Hyperbola
• Equation of Each Ellipse and Finding the Foci, Vertices, and Co– Vertices of Ellipses

Vectors

• Vectors Introduction
• Vector Components
• Magnitude of Vectors
• Scalar Multiplication of Vectors
• Addition and Subtraction of Vectors
• Direction of Vectors

Probability and Combinatorics

• Venn Diagrams and the Addition Rule
• Multiplication Rule for Probabilities
• Permutations and Combinations
• Theoretical and Empirical Probability Distributions
• Expected Value of a Random Variable
• Probability Distribution

Limits

• Properties of Limits
• Define Limits Analytically Using Correct Notation
• Estimating Limit Values from the Graph
• Determining Limits Using Algebraic Manipulation
• Selecting Procedures for Determining Limits
• Determining Limits Using the Squeeze Theorem
• Finding continuity at a point
• Discontinuous Function
• Removing Discontinuities
• Infinite Limits and Vertical Asymptotes
• Connecting Limits at Infinity and Horizontal Asymptotes
• Working with the Intermediate Value Theorem

Trigonometry

• The Law of Sines
• The Law of Cosines
• Apply Trigonometry to General Triangles
• Inverse Trigonometric Functions
• Sum and Difference of Trigonometric Functions Formulas

Function Composition

• Composition of Functions
• Inverse of a Function
• Verifying Inverse Functions by the Composition

Matrices

• Adding and Subtracting Matrices 
• Matrix Multiplication
• Scalar Multiplication of Matrices
• Transformation Using Matrices
• Representing Systems of Linear Equations Using Matrices 
• Introduction to Matrix Inverse
• Inverse of 2×2 Matrix 

Sequences

• Solving Finite Geometric Series
• Solving Infinite Geometric Series
• Sigma Notation
• The Binomial Theorem

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