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Precalculus, Sixth Edition
Ron Larson, The Pennsylvania State University, The Behrend College
Robert P. Hostetler, The Pennsylvania State University, The Behrend College
Student Success Organizer

This notebook organizer will help you develop a section-by-section summary of the key concepts in Precalculus. It is a set of templates to help you take notes, review section highlights, draw graphs, and keep track of homework assignments. Just click on the section number to view the pages, then print them out.

Some resources on this page are in PDF format and require Adobe® Acrobat® Reader. You can download the free reader below!
 

Chapter 1: Functions and Their Graphs

1.1Graphs of Equations
1.2Linear Equations in Two Variables
1.3Functions
1.4Analyzing Graphs of Functions
1.5A Library of Functions
1.6Shifting, Reflecting, and Stretching Graphs
1.7Combinations of Functions
1.8Inverse Functions
1.9Mathematical Modeling

Chapter 2: Polynomial and Rational Functions

2.1Quadratic Functions
2.2Polynomial Functions of Higher Degree
2.3Polynomial and Synthetic Division
2.4Complex Numbers
2.5Zeros of Polynomial Functions
2.6Rational Functions
2.7Partial Fractions

Chapter 3: Exponential and Logarithmic Functions

3.1Exponential Functions and Their Graphs
3.2Logarithmic Functions and Their Graphs
3.3Properties of Logarithms
3.4Exponential and Logarithmic Equations
3.5Exponential and Logarithmic Models

Chapter 4: Trigonometry

4.1Radian and Degree Measure
4.2Trigonometric Functions: The Unit Circle
4.3Right Triangle Trigonometry
4.4Trigonometric Functions of Any Angle
4.5Graphs of Sine and Cosine Functions
4.6Graphs of Other Trigonometric Functions
4.7Inverse Trigonometric Functions
4.8Applications and Models

Chapter 5: Analytic Trigonometry

5.1Using Fundamental Identities
5.2Verifying Trigonometric Identities
5.3Solving Trigonometric Equations
5.4Sum and Difference Formulas
5.5Multiple-Angle and Product-to-Sum Formulas

Chapter 6: Additional Topics in Trigonometry

6.1Law of Sines
6.2Law of Cosines
6.3Vectors in the Plane
6.4Vectors and Dot Products
6.5Trigonometric Form of a Complex Number

Chapter 7: Systems of Equations and Inequalities

7.1Solving Systems of Equations
7.2Two-Variable Linear Systems
7.3Multivariable Linear Systems
7.4Systems of Inequalities
7.5Linear Programming

Chapter 8: Matrices and Determinants

8.1Matrices and Systems of Equations
8.2Operations with Matrices
8.3The Inverse of a Square Matrix
8.4The Determinant of a Square Matrix
8.5Applications of Matrices and Determinants

Chapter 9: Sequences, Series, and Probability

9.1Sequences and Series
9.2Arithmetic Sequences and Partial Sums
9.3Geometric Sequences and Series
9.4Mathematical Induction
9.5The Binomial Theorem
9.6Counting Principles
9.7Probability

Chapter 10: Topics in Analytic Geometry

10.1Lines
10.2Introduction to Conics: Parabolas
10.3Ellipses
10.4Hyperbolas
10.5Rotation of Conics
10.6Parametric Equations
10.7Polar Coordinates
10.8Graphs of Polar Equations
10.9Polar Equations of Conics


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