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Functions & Their Graphs
- Lines in the Plane
- Functions
- Graphs of Functions
- Graphs of Functions
- Combinations of functions
- Inverse Functions
- Linear Models & Scatter Plots
- Review Exercises
- Chapter Test
Polynomial and Rational Function
- Quadratic Functions
- Polynomial Functions of Higher Degree
- Real Zeros of Polynomial Functions
- Complex Numbers
- The Fundamental Theorem of Algebra
- Rational funtions and Asymptotes
- Graphs of Rational Functions
- Quadratic Models
- Review Exercises
- Chapter Test
Exponential and Logarithmic Functions
- Exponential Functions & Their Graphs
- Logarthmic Function and Their Graphs
- Properties of Logarithms
- Solving Exponential and logarithmic Equations
- Exponential and Logarithmic Models
- Nonlinear Models
- Review Exercises
- Chapter Test
- Cumulative Test
Trigonometric Function
- Radian & Degree Measure
- Trigonometric Functions: The Unit Circle
- Right Triangle Trigonometry
- Trigonometric Functions of Any Angle
- Graphs of Sine & Cosine Functions
- Graphs of Other Trigonometric Functions
- Inverse Trigonometric Functions
- Application & Models
- Review Exercises
- Chapter Test
- Library of Parent Functions Review
Analytic Trigonometry
- Using Fundamental Identities
- Verifying Trigonometric Identities
- Solving Trigonometric Equations
- Sum & Difference Formulas
- Multiple-Angle and Product-to-Sum Formulas
- Review Exercises
- Chapter Test
Additional Topics in Trigonometry
- Law of Sines
- Law of Cosines
- Vectors in the Plane
- Vectors and Dot Product
- Trigonometric Form of a Complex Number
- Review Exercises
- Chapter Test
- Cumulative Test
Linear Systems and Matrices
- Solving Systems of Equations
- Systems of Linear Equations in Two Variables
- Multivariable Linear Systems
- Matrices & System of Equations
- Operations with Matrices
- The Inverse of a Square Matrix
- The Determinant of A Square Matrix
- Applications of Matrices & Determinants
- Review Exercises
- Chapter Test
Sequences, Series & Probability
- Sequences & Series
- Arithmetic Sequences & Partial Sums
- Geometric Sequences & Series
- The Binomial Theorem
- Counting Principles
- Probability
- Review Exercises
- Chapter Test
Topic in Analytic Geometry
- Circles and Parabolas
- Ellipses
- Hyperbolas & Ritation of Conics
- Parametric Equations
- Polar Coordinates
- Graphs of Polar Equations
- Polar Equations of Conics
- Review Exercises
- Chapter Test
- Cumulative Test
Analytic Geometry in Three Dimensions
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