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Algebra and Trigonometry, 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 Algebra and Trigonometry. 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 P: Prerequisites

P.1Review of Real Numbers and Their Properties
P.2Exponents and Radicals
P.3Polynomials and Special Products
P.4Factoring
P.5Rational Expressions
P.6Errors and the Algebra of Calculus
P.7Graphical Representation of Data

Chapter 1: Equations and Inequalities

1.1Graphs of Equations
1.2Linear Equations in One Variable
1.3Modeling with Linear Equations
1.4Quadratic Equations
1.5Complex Numbers
1.6Other Types of Equations
1.7Linear Inequalities in One Variable
1.8Other Types of Inequalities

Chapter 2: Functions and Their Graphs

2.1Linear Equations in Two Variables
2.2Functions
2.3Analyzing Graphs of Functions
2.4A Library of Functions
2.5Shifting, Reflecting, and Stretching Graphs
2.6Combinations of Functions
2.7Inverse Functions

Chapter 3: Polynomial Functions

3.1Quadratic Functions
3.2Polynomial Functions of Higher Degree
3.3Polynomial and Synthetic Division
3.4Zeros of Polynomial Functions
3.5Mathematical Modeling

Chapter 4: Rational Functions and Conics

4.1Rational Functions and Asymptotes
4.2Graphs of Rational Functions
4.3Partial Fractions
4.4Conics
4.5Translations of Conics

Chapter 5: Exponential and Logarithmic Functions

5.1Exponential Functions and Their Graphs
5.2Logarithmic Functions and Their Graphs
5.3Properties of Logarithms
5.4Exponential and Logarithmic Equations
5.5Exponential and Logarithmic Models

Chapter 6: Trigonometry

6.1Angles and Their Measures
6.2Right Triangle Trigonometry
6.3Trigonometric Functions of Any Angle
6.4Graphs of Sine and Cosine Functions
6.5Graphs of Other Trigonometric Functions
6.6Inverse Trigonometric Functions
6.7Applications and Models

Chapter 7: Analytic Trigonometry

7.1Using Fundamental Identities
7.2Verifying Trigonometric Identities
7.3Solving Trigonometric Equations
7.4Sum and Difference Formulas
7.5Multiple-Angle and Product-to-Sum Formulas

Chapter 8: Additional Topics in Trigonometry

8.1Law of Sines
8.2Law of Cosines
8.3Vectors in the Plane
8.4Vectors and Dot Products
8.5Trigonometric Form of a Complex Number

Chapter 9: Systems of Equations and Inequalities

9.1Solving Systems of Equations
9.2Two-Variable Linear Systems
9.3Multivariable Linear Systems
9.4Systems of Inequalities
9.5Linear Programming

Chapter 10: Matrices and Determinants

10.1Matrices and Systems of Equations
10.2Operations with Matrices
10.3The Inverse of a Square Matrix
10.4The Determinant of a Square Matrix
10.5Applications of Matrices and Determinants

Chapter 11: Sequences, Series, and Probability

11.1 Sequences and Series
11.2Arithmetic Sequences and Partial Sums
11.3Geometric Sequences and Series
11.4Mathematical Induction
11.5The Binomial Theorem
11.6Counting Principles
11.7Probability



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