Precalculus Plus Integrated Review
Paul Sisson
This software provides students with curriculum-level precalculus skills integrated with applicable review lessons. This course offers lessons familiar to students entering from a college algebra course, preparing them for the more advanced topics they will cover in a subsequent calculus course while also targeting specific remediation needs for just-in-time supplementation of foundational concepts.
Formats: Software, Textbook, Guided Notebook
Product | ISBN |
---|---|
Software | 978-1-64277-063-6 |
Software + Precalculus Textbook | 978-1-64277-064-3 |
Software + Precalculus Guided Notebook | 978-1-64277-065-0 |
Table of Contents
-
0: Strategies for Academic Success
- 0.1 How to Read a Math Textbook
- 0.2 Tips for Success in a Math Course
- 0.3 Tips for Improving Math Test Scores
- 0.4 Practice, Patience, and Persistence!
- 0.5 Note Taking
- 0.6 Do I Need a Math Tutor?
- 0.7 Tips for Improving Your Memory
- 0.8 Overcoming Anxiety
- 0.9 Online Resources
- 0.10 Preparing for a Final Math Exam
- 0.11 Managing Your Time Effectively
-
Chapter 1.R: Integrated Review
- 1.R.1 Exponents, Prime Numbers, and LCM
- 1.R.2 Reducing Fractions to Lowest Terms
- 1.R.3 Multiplication and Division with Fractions
- 1.R.4 Addition and Subtraction with Fractions
- 1.R.5 Decimals and Percents
- 1.R.6 Applications: Number Problems and Consecutive Integers
- 1.R.7 Proportions
- 1.R.8 Simplifying Radicals
-
Chapter 1. Number Systems and Equations of One Variable
- 1.1a The Real Number System
- 1.1b The Arithmetic of Algebraic Expressions
- 1.2a Properties of Exponents
- 1.2b Scientific Notation and Geometric Problems Using Exponents
- 1.2c Properties of Radicals
- 1.2d Rational Number Exponents
- 1.3 Polynomials and Factoring
- 1.4 The Complex Number System
- 1.5a Linear Equations in One Variable
- 1.5b Applications of Linear Equations in One Variable
- 1.6 Linear Inequalities in One Variable
- 1.7a Quadratic Equations in One Variable
- 1.7b Higher Degree Polynomial Equations
- 1.8a Rational Expressions and Equations
- 1.8b Radical Equations
- Chapter 1 Review
-
Chapter 2.R: Integrated Review
- 2.R.1 Square Roots and the Pythagorean Theorem
- 2.R.2 Formulas in Geometry
-
Chapter 2. Introduction to Equations and Inequalities of Two Variables
- 2.1 The Cartesian Coordinate System
- 2.2 Linear Equations in Two Variables
- 2.3 Forms of Linear Equations
- 2.4 Parallel and Perpendicular Lines
- 2.5 Linear Inequalities in Two Variables
- 2.6 Introduction to Circles
- Chapter 2 Review
-
Chapter 3.R: Integrated Review
- 3.R.1 Order of Operations with Real Numbers
- 3.R.2 Identifying Like Terms
- 3.R.3 Simplifying Expressions
- 3.R.4 Translating English Phrases and Algebraic Expressions
-
Chapter 3. Relations, Functions, and Their Graphs
- 3.1 Relations and Functions
- 3.2a Linear and Quadratic Functions
- 3.2b Max/Min Applications of Quadratic Functions
- 3.3 Other Common Functions
- 3.4 Variation and Multi-Variable Functions
- 3.5 Transformations of Functions
- 3.6 Combining Functions
- 3.7 Inverses of Functions
- Chapter 3 Review
-
Chapter 4.R: Integrated Review
- 4.R.1 Greatest Common Factor (GCF) of a Set of Terms
- 4.R.2 Factoring Trinomials by Grouping
- 4.R.3 Review of Factoring Techniques
- 4.R.4 Introduction to Rational Expressions
-
Chapter 4. Polynomial Functions
- 4.1 Introduction to Polynomial Equations and Graphs
- 4.2 Polynomial Division and the Division Algorithm
- 4.3 Locating Real Zeros of Polynomials
- 4.4 The Fundamental Theorem of Algebra
- 4.5a Rational Functions
- 4.5b Rational Inequalities
- Chapter 4 Review
-
Chapter 5.R: Integrated Review
- 5.R.1 Rules for Exponents
- 5.R.2 Power Rules for Exponents
- 5.R.3 Rational Exponents
-
Chapter 5. Exponential and Logarithmic Functions
- 5.1 Exponential Functions and their Graphs
- 5.2 Applications of Exponential Functions
- 5.3 Logarithmic Functions and their Graphs
- 5.4 Properties and Applications of Logarithms
- 5.5 Exponential and Logarithmic Equations
- Chapter 5 Review
-
Chapter 6.R: Integrated Review
- 6.R.1 Angles
- 6.R.2 Triangles
-
Chapter 6. Trigonometric Functions
- 6.1 Radian and Degree Measure of Angles
- 6.2 Trigonometric Functions of Acute Angles
- 6.3 Trigonometric Functions of Any Angle
- 6.4 Graphs of Trigonometric Functions
- 6.5 Inverse Trigonometric Functions
- Chapter 6 Review
-
Chapter 7. Trigonometric Identities and Equations
- 7.1 Fundamental Identities and their Uses
- 7.2 Sum and Difference Identities
- 7.3 Product - Sum Identities
- 7.4 Trigonometric Equations
- Chapter 7 Review
-
Chapter 8. Additional Topics in Trigonometry
- 8.1a The Law of Sines and the Law of Cosines
- 8.1b Area of Triangles
- 8.2 Polar Coordinates and Polar Equations
- 8.3a Parametric Equations - Graphing and Applications
- 8.3b Parametric Equations - Eliminating the Parameter
- 8.3c Parametric Equations - Constructing Equations
- 8.4a Trigonometric Form of Complex Numbers
- 8.4b Operations with Complex Numbers
- 8.5 Vectors in the Cartesian Plane
- 8.6 The Dot Product and Its Uses
- Chapter 8 Review
-
Chapter 9.R: Integrated Review
- 9.R.1 Special Products of Binomials
- 9.R.2 Special Factoring Techniques
-
Chapter 9. Conic Sections
- 9.1 The Ellipse
- 9.2 The Parabola
- 9.3 The Hyperbola
- 9.4 Rotation of Conics
- 9.5 Polar Form of Conic Sections
- Chapter 9 Review
-
Chapter 10.R: Integrated Review
- 10.R.1 Systems of Linear Equations: Solutions by Graphing
- 10.R.2 Systems of Linear Inequalities
-
Chapter 10. Systems of Equations
- 10.1 Solving Systems by Substitution and Elimination
- 10.2 Matrix Notation and Gaussian Elimination
- 10.3 Determinants and Cramer's Rule
- 10.4 The Algebra of Matrices
- 10.5 Inverses of Matrices
- 10.6 Partial Fraction Decomposition
- 10.7 Linear Programming
- 10.8 Nonlinear Systems of Equations
- Chapter 10 Review
-
Chapter 11. An Introduction to Sequences, Series, Combinatorics, and Probability
- 11.1 Sequences and Series
- 11.2 Arithmetic Sequences and Series
- 11.3 Geometric Sequences and Series
- 11.4 Mathematical Induction
- 11.5a An Introduction to Combinatorics - Counting, Permutations, and Combinations
- 11.5b An Introduction to Combinatorics - The Binomial and Multinomial Theorems
- 11.6 An Introduction to Probability
- Chapter 11 Review
-
Appendix
- A.1 Mathematical Models
- A.2 Properties of Functions
- A.3 Trigonometric Functions and the Unit Circle
- A.4 Limits in the Plane