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HAWKESTV

Precalculus

 

Chapter 1: Number Systems and Equations of One Variable

Click to Expand/Collapse! 1.1a The Real Number System
Click to Expand/Collapse! 1.1b The Arithmetic of Algebraic Expressions
Click to Expand/Collapse! 1.2a Properties of Exponents
Click to Expand/Collapse! 1.2b Scientific Notation and Geometric Problems Using Exponents
Click to Expand/Collapse! 1.2c Properties of Radicals
Click to Expand/Collapse! 1.2d Rational Number Exponents
Click to Expand/Collapse! 1.3 Polynomials and Factoring
Click to Expand/Collapse! 1.4 The Complex Number System
Click to Expand/Collapse! 1.5a Linear Equations in One Variable
Click to Expand/Collapse! 1.5b Applications of Linear Equations in One Variable
Click to Expand/Collapse! 1.6 Linear Inequalities in One Variable
Click to Expand/Collapse! 1.7a Quadratic Equations in One Variable
Click to Expand/Collapse! 1.7b Higher Degree Polynomial Equations
Click to Expand/Collapse! 1.8a Rational Expressions and Equations
Click to Expand/Collapse! 1.8b Radical Equations

Chapter 2: Introduction to Equations and Inequalities of Two Variables

Click to Expand/Collapse! 2.1 The Cartesian Coordinate System
Click to Expand/Collapse! 2.2 Linear Equations in Two Variables
Click to Expand/Collapse! 2.3 Forms of Linear Equations
Click to Expand/Collapse! 2.4 Parallel and Perpendicular Lines
Click to Expand/Collapse! 2.5 Linear Inequalities in Two Variables
Click to Expand/Collapse! 2.6 Introduction to Circles

Chapter 3: Relations, Functions, and Their Graphs

Click to Expand/Collapse! 3.1 Relations and Functions
Click to Expand/Collapse! 3.2a Linear and Quadratic Functions
Click to Expand/Collapse! 3.2b Max/Min Applications of Quadratic Functions
Click to Expand/Collapse! 3.3 Other Common Functions
Click to Expand/Collapse! 3.4 Variation and Multi-Variable Functions
Click to Expand/Collapse! 3.5 Transformations of Functions
Click to Expand/Collapse! 3.6 Combining Functions
Click to Expand/Collapse! 3.7 Inverses of Functions

Chapter 4: Polynomial Functions

Click to Expand/Collapse! 4.1 Introduction to Polynomial Equations and Graphs
Click to Expand/Collapse! 4.2 Polynomial Division and the Division Algorithm
Click to Expand/Collapse! 4.3 Locating Real Zeros of Polynomials
Click to Expand/Collapse! 4.4 The Fundamental Theorem of Algebra
Click to Expand/Collapse! 4.5a Rational Functions
Click to Expand/Collapse! 4.5b Rational Inequalities

Chapter 5: Exponential and Logarithmic Functions

Click to Expand/Collapse! 5.1 Exponential Functions and their Graphs
Click to Expand/Collapse! 5.2 Applications of Exponential Functions
Click to Expand/Collapse! 5.3 Logarithmic Functions and their Graphs
Click to Expand/Collapse! 5.4 Properties and Applications of Logarithms
Click to Expand/Collapse! 5.5 Exponential and Logarithmic Equations

Chapter 6: Trigonometric Functions

Click to Expand/Collapse! 6.1 Radian and Degree Measure of Angles
Click to Expand/Collapse! 6.2 Trigonometric Functions of Acute Angles
Click to Expand/Collapse! 6.3 Trigonometric Functions of Any Angle
Click to Expand/Collapse! 6.4 Graphs of Trigonometric Functions
Click to Expand/Collapse! 6.5 Inverse Trigonometric Functions

Chapter 7: Trigonometric Identities and Equations

Click to Expand/Collapse! 7.1 Fundamental Identities and their Uses
Click to Expand/Collapse! 7.2 Sum and Difference Identities
Click to Expand/Collapse! 7.3 Product - Sum Identities
Click to Expand/Collapse! 7.4 Trigonometric Equations

Chapter 8: Additional Topics in Trigonometry

Click to Expand/Collapse! 8.1a The Law of Sines and the Law of Cosines
Click to Expand/Collapse! 8.1b Area of Triangles
Click to Expand/Collapse! 8.2 Polar Coordinates and Polar Equations
Click to Expand/Collapse! 8.3a Parametric Equations - Graphing and Applications
Click to Expand/Collapse! 8.3b Parametric Equations - Eliminating the Parameter
Click to Expand/Collapse! 8.3c Parametric Equations - Constructing Equations
Click to Expand/Collapse! 8.4a Trigonometric Form of Complex Numbers
Click to Expand/Collapse! 8.4b Operations with Complex Numbers
Click to Expand/Collapse! 8.5 Vectors in the Cartesian Plane
Click to Expand/Collapse! 8.6 The Dot Product and Its Uses

Chapter 9: Conic Sections

Click to Expand/Collapse! 9.1 The Ellipse
Click to Expand/Collapse! 9.2 The Parabola
Click to Expand/Collapse! 9.3 The Hyperbola
Click to Expand/Collapse! 9.4 Rotation of Conics
Click to Expand/Collapse! 9.5 Polar Form of Conic Sections

Chapter 10: Systems of Equations

Click to Expand/Collapse! 10.1 Solving Systems by Substitution and Elimination
Click to Expand/Collapse! 10.2 Matrix Notation and Gaussian Elimination
Click to Expand/Collapse! 10.3 Determinants and Cramer's Rule
Click to Expand/Collapse! 10.4 The Algebra of Matrices
Click to Expand/Collapse! 10.5 Inverses of Matrices
Click to Expand/Collapse! 10.6 Partial Fraction Decomposition
Click to Expand/Collapse! 10.7 Linear Programming
Click to Expand/Collapse! 10.8 Nonlinear Systems of Equations

Chapter 11: An Introduction to Sequences, Series, and Probability

Click to Expand/Collapse! 11.1 Sequences and Series
Click to Expand/Collapse! 11.2 Arithmetic Sequences and Series
Click to Expand/Collapse! 11.3 Geometric Sequences and Series
Click to Expand/Collapse! 11.4 Mathematical Induction
Click to Expand/Collapse! 11.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations
Click to Expand/Collapse! 11.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems
Click to Expand/Collapse! 11.6 An Introduction to Probability