Guided Notebook for Algebra & Trigonometry

by Kirk Trigsted

Overview

The Guided Notebook is an interactive workbook that guides students through the course by asking them to write down key definitions and work through important examples for each section of the eText. This resource is available in a three-hole-punched, unbound format to provide the foundation for a personalized course notebook. Students can integrate their class notes and homework notes within the appropriate section of the Guided Notebook. Instructors can customize the Guided Notebook files found within MyMathLab.

Product Details

ISBN-13:	9780134767994
Publisher:	Pearson Education
Publication date:	07/17/2018
Edition description:	3rd ed.
Pages:	976
Product dimensions:	8.50(w) x 10.88(h) x 2.00(d)

Table of Contents

BRIEF TABLE OF CONTENTS

• NOTE: Both brief and comprehensive tables of contents are listed below.

Review Chapter

1. Equations, Inequalities, and Applications
2. The Rectangular Coordinate System, Lines, and Circles
3. Functions
4. Polynomial and Rational Functions
5. Exponential and Logarithmic Functions and Equations
6. An Introduction to Trigonometric Functions
7. The Graphs of Trigonometric Functions
8. Trigonometric Identities, Formulas, and Equations
9. Applications of Trigonometry
10. Polar Equations, Complex Numbers, and Vectors
11. Conic Sections and Parametric Equations
12. Systems of Equations and Inequalities
13. Matrices
14. Sequences and Series; Counting and Probability

Appendices

• A. Degree, Minute, Second Form and Degree Decimal Form
• B. Conic Section Proofs

COMPREHENSIVE TABLE OF CONTENTS

• R. Review Chapter
  • R.1 Real Numbers
  • R.2 The Order of Operations and Algebraic Expressions
  • R.3 The Laws of Exponents; Radicals
  • R.4 Polynomials
  • R.5 Operations with Radicals (New Section)
  • R.6 Factoring Polynomials
  • R.7 Rational Expressions

1. Equations, Inequalities, and Applications
   • 1.1 Linear and Rational Equations
   • 1.2 Applications of Linear Equations and Rational Equation
   • 1.3 Complex Numbers
   • 1.4 Quadratic Equations
   • 1.5 Applications of Quadratic Equations
   • 1.6 Other Types of Equations
   • 1.7 Linear Inequalities in One Variable
   • 1.8 Absolute Value Equations and Inequalities
   • 1.9 Polynomial and Rational Inequalities
2. The Rectangular Coordinate System, Lines, and Circles
   • 2.1 The Rectangular Coordinate System
   • 2.2 Circles
   • 2.3 Lines
   • 2.4 Parallel and Perpendicular Lines
3. Functions
   • 3.1 Relations and Functions
   • 3.2 Properties of a Function’s Graph
   • 3.3 Graphs of Basic Functions; Piecewise Functions
   • 3.4 Transformations of Functions
   • 3.5 The Algebra of Functions; Composite Functions
   • 3.6 One-to-One Functions; Inverse Functions
4. Polynomial and Rational Functions
   • 4.1 Quadratic Functions
   • 4.2 Applications and Modeling of Quadratic Functions
   • 4.3 The Graphs of Polynomial Functions
   • 4.4 Synthetic Division; The Remainder and Factor Theorems
   • 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
   • 4.6 Rational Functions and Their Graphs
   • 4.7 Variation
5. Exponential and Logarithmic Functions and Equations
   • 5.1 Exponential Functions
   • 5.2 Logarithmic Functions
   • 5.3 Properties of Logarithms
   • 5.4 Exponential and Logarithmic Equations
   • 5.5 Applications of Exponential and Logarithmic Functions
6. An Introduction to Trigonometric Functions
   • 6.1 An Introduction to Angles: Degree and Radian Measure
   • 6.2 Applications of Radian Measure
   • 6.3 Triangles
   • 6.4 Right Triangle Trigonometry
   • 6.5 Trigonometric Functions of General Angles
   • 6.6 The Unit Circle
7. The Graphs of Trigonometric Functions
   • 7.1 The Graphs of Sine and Cosine
   • 7.2 More on Graphs of Sine and Cosine; Phase Shift
   • 7.3 The Graphs of the Tangent, Cotangent , Cosecant, and Secant Functions
   • 7.4 Inverse Trigonometric Functions I
   • 7.5 Inverse Trigonometric Functions II
8. Trigonometric Identities, Formulas, and Equations
   • 8.1 Trigonometric Identities
   • 8.2 The Sum and Difference Formulas
   • 8.3 The Double-Angle and Half-Angle Formulas
   • 8.4 The Product-to-Sum and Sum-to-Product Formulas
   • 8.5 Trigonometric Equations
9. Applications of Trigonometry
   • 9.1 Right Triangle Applications
   • 9.2 The Law of Sines
   • 9.3 The Law of Cosines
   • 9.4 Area of Triangles
10. Polar Equations, Complex Numbers, and Vectors
    • 10.1 Polar Coordinates and Polar Equations
    • 10.2 Graphing Polar Equations
    • 10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem
    • 10.4 Vectors
    • 10.5 The Dot Product
11. Conic Sections and Parametric Equations
    • 11.1 Introduction to Conic Sections
    • 11.2 The Parabola
    • 11.3 The Ellipse
    • 11.4 The Hyperbola
    • 11.5 Conic Sections in Polar Form
    • 11.6 Parametric Equations
12. Systems of Equations and Inequalities
    • 12.1 Solving Systems of Linear Equations in Two Variables
    • 12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
    • 12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
    • 12.4 Partial Fraction Decomposition
    • 12.5 Systems of Nonlinear Equations
    • 12.6 Systems of Inequalities
13. Matrices
    • 13.1 Matrix Operations
    • 13.2 Inverses of Matrices and Matrix Equations
    • 13.3 Determinants and Cramer’s Rule
14. Sequences and Series; Counting and Probability
    • 14.1 Introduction to Sequences and Series
    • 14.2 Arithmetic Sequences and Series
    • 14.3 Geometric Sequences and Series
    • 14.4 The Binomial Theorem
    • 14.5 Mathematical Induction
    • 14.6 The Theory of Counting
    • 14.7 An Introduction to Probability

Appendices

• A. Degree, Minute, Second Form and Degree Decimal Form
• B. Conic Section Proofs