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Prerequisites 
47
06
176


01  
Real Numbers: Algebra Essentials  
Exponents and Scientific Notation  
Radicals and Rational Exponents  
Polynomials  
Factoring Polynomials  
Rational Expressions  
Equations and Inequalities 
45
07
177


02  
The Rectangular Coordinate Systems and Graphs  
Linear Equations in One Variable  
Models and Applications  
Complex Numbers  
Quadratic Equations  
Other Types of Equations  
Linear Inequalities and Absolute Value Inequalities  
Functions 
35
07
209


03  
Functions and Function Notation  
Domain and Range  
Rates of Change and Behavior of Graphs  
Composition of Functions  
Transformation of Functions  
Absolute Value Functions  
Inverse Functions  
Linear Functions 
15
03
42


04  
Linear Functions  
Modeling with Linear Functions  
Fitting Linear Models to Data  
Polynomial and Rational Functions 
43
08
222


05  
Quadratic Functions  
Power Functions and Polynomial Functions  
Graphs of Polynomial Functions  
Dividing Polynomials  
Zeros of Polynomial Functions  
Rational Functions  
Inverses and Radical Functions  
Modeling Using Variation  
Exponential and Logarithmic Functions 
18
08
208


06  
Exponential Functions  
Graphs of Exponential Functions  
Logarithmic Functions  
Graphs of Logarithmic Functions  
Logarithmic Properties  
Exponential and Logarithmic Equations  
Exponential and Logarithmic Models  
Fitting Exponential Models to Data  
Systems of Equations and Inequalities 
34
08
220


07  
Systems of Linear Equations: Two Variables  
Systems of Linear Equations: Three Variables  
Systems of Nonlinear Equations and Inequalities: Two Variables  
Partial Fractions  
Matrices and Matrix Operations  
Solving Systems with Gaussian Elimination  
Solving Systems with Inverses  
Solving Systems with Cramer’s Rule  
Analytic Geometry 
20
05
142


08  
The Ellipse  
The Hyperbola  
The Parabola  
Rotation of Axes  
Conic Sections in Polar Coordinates  
Sequences, Probability, and Counting Theory 
40
07
192


09  
Sequences and Their Notations  
Arithmetic Sequences  
Geometric Sequences  
Series and Their Notations  
Counting Principles  
Binomial Theorem  
Probability 