Syllabus
1 Linear Functions
1.1 Parent Functions and Transformations
1.2 Transformations of Linear and Absolute Value Functions
1.3 Modeling with Linear Functions
1.4 Solving Linear Systems
2 Quadratic Functions
2.1 Transformations of Quadratic Functions
2.2 Characteristics of Quadratic Functions
2.3 Focus of a Parabola
2.4 Modeling with Quadratic Equations
3 Quadratic Equations and Complex Numbers
3.1 Solving Quadratic Equations
3.2 Complex Numbers
3.3 Completing the Square
3.4 Using the Quadratic Formula
3.5 Solving Nonlinear Systems
3.6 Quadratic Inequalities
4 Polynomial Functions
4.1 Graphing Polynomial Functions
4.2 Adding, Subtracting, and Multiplying Polynomials
4.3 Dividing Polynomials
4.4 Factoring Polynomials
4.5 Solving Polynomial Equations
4.6 The Fundamental Theorem of Algebra
4.7 Transformations of Polynomial Functions
4.8 Analyzing Graphs of Polynomial Functions
4.9 Modeling with Polynomial Functions
5 Rational Exponents and Radical Functions
5.1 nth Roots and Rational Exponents
5.2 Properties of Rational Exponents and Radicals
5.3 Graphing Radical Functions
5.4 Solving Radical Equations and Inequalities
5.5 Performing Function Operations
5.6 Inverse of a Function
6 Exponential and Logarithmic Functions
6.1 Exponential Growth and Decay Functions
6.2 The Natural Base e
6.3 Logarithms and Logarithmic Functions
6.4 Transformations of Exponential and Logarithmic Functions
6.5 Properties of Logarithms
6.6 Solving Exponential and Logarithmic Equations
6.7 Modeling with Exponential and Logarithmic Functions
7 Rational Functions
7.1 Inverse Variation
7.2 Graphing Rational Functions
7.3 Multiplying and Dividing Rational Expressions
7.4 Adding and Subtracting Rational Expressions
7.5 Solving Rational Equations
8 Sequences and Series
8.1 Defining and Using Sequences and Series
8.2 Analyzing Arithmetic Sequences and Series
8.3 Analyzing Geometric Sequences and Series
8.4 Finding Sums of Infinite Geometric Series
8.5 Using Recursive Rules with Sequences
9 Trigonometric Ratios and Functions
9.1 Right Triangle Trigonometry
9.2 Angles and Radian Measure
9.3 Trigonometric Functions of Any Angle
9.4 Graphing Sine and Cosine Functions
9.5 Graphing Other Trigonometric Functions
9.6 Modeling with Trigonometric Functions
9.7 Using Trigonometric Identities
9.8 Using Sum and Difference Formulas
10 Probability
10.1 Sample Spaces and Probability
10.2 Independent and Dependent Events
10.3 Two-Way Tables and Probability
10.4 Probability of Disjoint and Overlapping Events
10.5 Permutations and Combinations
10.6 Binomial Distributions
11 Data Analysis and Statistics
11.1 Using Normal Distributions
11.2 Populations, Samples, and Hypotheses
11.3 Collecting Data
11.4 Experimental Design
11.5 Making Inferences from Sample Surveys
11.6 Making Inferences from Experiments