Algebra and Trigonometry
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Algebra and Trigonometry, Fifth Edition
Ron Larson - The Pennsylvania State University, The Behrend College
Robert P. Hostetler - The Pennsylvania State University, The Behrend College
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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.

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  • Chapter P  Prerequisites
P.1 Real Numbers
P.2 Exponents and Radicals
P.3 Polynomials and Special Products
P.4 Factoring
P.5 Rational Expressions
P.6 Errors and the Algebra of Calculus
P.7 Graphical Representation of Data
  • Chapter 1 Equations and Inequalities
1.1 Graphs of Equations
1.2 Linear Equations in One Variable
1.3 Modeling with Linear Equations
1.4 Quadratic Equations
1.5 Complex Numbers
1.6 Other Types of Equations
1.7 Linear Inequalities
1.8 Other Types of Inequalities
  • Chapter 2 Functions and Their Graphs
2.1 Linear Equations in Two Variables
2.2 Functions
2.3 Analyzing Graphs of Functions
2.4 Shifting, Reflecting, and Stretching Graphs
2.5 Combinations of Functions
2.6 Inverse Functions
  • Chapter 3 Polynomial Functions
3.1 Quadratic Functions
3.2 Polynomial Functions of Higher Degree
3.3 Polynomial and Synthetic Division
3.4 Zeros of Polynomial Functions
3.5 Mathematical Modeling
  • Chapter 4 Rational Functions and Conics
4.1 Rational Functions and Asymptotes
4.2 Graphs of Rational Functions
4.3 Partial Fractions
4.4 Conics
4.5 Translation of Conics
  • Chapter 5 Exponential and Logarithmic Functions
5.1 Exponential Functions and Their Graphs
5.2 Logarithmic Functions and Their Graphs
5.3 Properties of Logarithms
5.4 Exponential and Logarithmic Equations
5.5 Exponential and Logarithmic Models
  • Chapter 6 Trigonometry
6.1 Angles and Their Measures
6.2 Right Triangle Trigonometry
6.3 Trigonometric Functions of Any Angle
6.4 Graphs of Sine and Cosine Functions
6.5 Graphs of Other Trigonometric Functions
6.6 Inverse Trigonometric Functions
6.7 Applications and Models
  • Chapter 7 Analytic Trigonometry
7.1 Using Fundamental Identities
7.2 Verifying Trigonometric Identities
7.3 Solving Trigonometric Equations
7.4 Sum and Difference Formulas
7.5 Multiple-Angle and Product-Sum Formulas
  • Chapter 8 Additional Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
8.3 Vectors in the Plane
8.4 Vectors and Dot Products
8.5 Trigonometric Form of a Complex Number
  • Chapter 9 Systems of Equations and Inequalities
9.1 Solving Systems of Equations
9.2 Two-Variable Linear Systems
9.3 Multivariable Linear Systems
9.4 Systems of Inequalities
9.5 Linear Programming
  • Chapter 10 Matrices and Determinants
10.1 Matrices and Systems of Equations
10.2 Operations with Matrices
10.3 The Inverse of a Square Matrix
10.4 The Determinant of a Square Matrix
10.5 Applications of Matrices and Determinants
  • Chapter 11 Sequences, Series, and Probability
11.1 Sequences and Series
11.2 Arithmetic Sequences and Partial Sums
11.3 Geometric Sequences and Series
11.4 Mathematical Induction
11.5 The Binomial Theorem
11.6 Counting Principles
11.7 Probability


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