College Algebra Plus Integrated Review
Hawkes Learning
College Algebra Plus Integrated Review targets specific remediation needs for just-in-time supplementation of foundational concepts in college algebra with these materials. This new integrated course enhances curriculum-level math with applicable review skills to shorten the prerequisite sequence without compromising competency. If you teach a college algebra corequisite course, these materials are for you!
Formats: Software, eBook, Guided Notebook
Product | ISBN |
---|---|
Software | 978-1-944894-99-3 |
Integrated Review Guided Notebook | 978-1-944894-95-5 |
Software + Integrated Review Guided Notebook | 978-1-944894-98-6 |
Table of Contents
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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
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1.R: Integrated Review
- 1.R.1 Exponents, Prime Numbers, and LCM
- 1.R.2 Reducing Fractions to Lowest Terms
- 1.R.3 Decimals and Percents
- 1.R.4 Simplifying Radicals
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1: Number Systems and Fundamental Concepts of Algebra
- 1.1 The Real Number System
- 1.2 The Arithmetic of Algebraic Expressions
- 1.3a Properties of Exponents
- 1.3b Scientific Notation and Geometric Problems Using Exponents
- 1.4a Properties of Radicals
- 1.4b Rational Number Exponents
- 1.5 Polynomials and Factoring
- 1.6 The Complex Number System
- Chapter 1 Review
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2.R: Integrated Review
- 2.R.1 Multiplication and Division with Fractions
- 2.R.2 Addition and Subtraction with Fractions
- 2.R.3 Applications: Number Problems and Consecutive Integers
- 2.R.4 Proportions
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2: Equations and Inequalities of One Variable
- 2.1a Linear Equations in One Variable
- 2.1b Applications of Linear Equations in One Variable
- 2.2 Linear Inequalities in One Variable
- 2.3 Quadratic Equations in One Variable
- 2.4 Higher Degree Polynomial Equations
- 2.5 Rational Expressions and Equations
- 2.6 Radical Equations
- Chapter 2 Review
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3: Linear Equations and Inequalities of Two Variables
- 3.1 The Cartesian Coordinate System
- 3.2 Linear Equations in Two Variables
- 3.3 Forms of Linear Equations
- 3.4 Parallel and Perpendicular Lines
- 3.5 Linear Inequalities in Two Variables
- 3.6 Introduction to Circles
- Chapter 3 Review
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4.R: Integrated Review
- 4.R.1 Order of Operations with Real Numbers
- 4.R.2 Identifying Like Terms
- 4.R.3 Simplifying Expressions
- 4.R.4 Translating English Phrases and Algebraic Expressions
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4: Relations, Functions, and Their Graphs
- 4.1 Relations and Functions
- 4.2a Linear and Quadratic Functions
- 4.2b Max/Min Applications of Quadratic Functions
- 4.3a Other Common Functions
- 4.3b Direct and Inverse Variation
- 4.4 Transformations of Functions
- 4.5 Combining Functions
- 4.6 Inverses of Functions
- Chapter 4 Review
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5.R: Integrated Review
- 5.R.1 Greatest Common Factor (GCF) of a Set of Terms
- 5.R.2 Factoring Trinomials by Grouping
- 5.R.3 Review of Factoring Techniques
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5: Polynomial Functions
- 5.1 Introduction to Polynomial Equations and Graphs
- 5.2 Polynomial Division and the Division Algorithm
- 5.3 Locating Real Zeros of Polynomials
- 5.4 The Fundamental Theorem of Algebra
- Chapter 5 Review
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6.R: Integrated Review
- 6.R.1 Introduction to Rational Expressions
- 6.R.2 Special Products of Binomials
- 6.R.3 Special Factoring Techniques
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6: Rational Functions and Conic Sections
- 6.1a Rational Functions
- 6.1b Rational Inequalities
- 6.2 The Ellipse
- 6.3 The Parabola
- 6.4 The Hyperbola
- Chapter 6 Review
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7.R: Integrated Review
- 7.R.1 Rules for Exponents
- 7.R.2 Power Rules for Exponents
- 7.R.3 Rational Exponents
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7: Exponential and Logarithmic Functions
- 7.1 Exponential Functions and their Graphs
- 7.2 Applications of Exponential Functions
- 7.3 Logarithmic Functions and their Graphs
- 7.4 Properties and Applications of Logarithms
- 7.5 Exponential and Logarithmic Equations
- Chapter 7 Review
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8.R: Integrated Review
- 8.R.1 Systems of Linear Equations: Solutions by Graphing
- 8.R.2 Systems of Linear Inequalities
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8: Systems of Equation
- 8.1 Solving Systems by Substitution and Elimination
- 8.2 Matrix Notation and Gaussian Elimination
- 8.3 Determinants and Cramer's Rule
- 8.4 The Algebra of Matrices
- 8.5 Inverses of Matrices
- 8.6 Linear Programming
- 8.7 Nonlinear Systems of Equations
- Chapter 8 Review
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9: An Introduction to Sequences, Series, Combinatorics, and Probability
- 9.1 Sequences and Series
- 9.2 Arithmetic Sequences and Series
- 9.3 Geometric Sequences and Series
- 9.4 Mathematical Induction
- 9.5a An Introduction to Combinatorics – Counting, Permutations, and Combinations
- 9.5b An Introduction to Combinatorics – The Binomial and Multinomial Theorems
- 9.6 An Introduction to Probability
- Chapter 9 Review
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Appendix
- A.1 Introduction to Polynomial Equations and Graphs (excluding complex numbers)
- A.2 Polynomial Division and the Division Algorithm (excluding complex numbers)
- A.3 Locating Real Zeros of Polynomials (excluding complex numbers)
- A.4 The Fundamental Theorem of Algebra (excluding complex numbers)
- A.5 Mathematical Models
- A.6 Properties of Functions