College Algebra: A Function Approach that prepares for Calculus

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Description

College Algebra: A Function Approach that prepares for Calculus is the essential resource for students on the path towards Calculus. This textbook, formatted to work Möbius, focuses on building a solid foundation in college algebra, providing in-depth explanations, abundant examples, over 800 embedded videos, and automatically graded exercises that foster mathematical skills. With a clear progression of concepts, it, along with our other text Trigonometry: A Unit Circle Approach that prepares for Calculus, equip learners with the necessary tools to succeed in calculus and beyond.

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Learn how Möbius’ unique STEM question types throughout this content provide the best STEM learning experience.
Work with over 50 configurable assessment properties when modifying existing or building your own assessments.
Lessons help to solidify difficult STEM concepts and can be modified with Möbius’ editing tools to include additional Active Learning principles.

Course Structure

All content is organized into 9 units for easy navigation
Course materials provide a solid foundation for creating your course offering which include 41 lessons with illustrative visualizations and video elements
Different forms of assessment materials are distributed across 40 assignments to evaluate student comprehension through a variety of different question types
Pull from a vast selection of over 2000 questions that you can use to create your own lessons and assignments or supplement existing ones

9 units

41 lessons

40 assignments

2000+ questions

Unit 1: Functions, Graphs, and Modeling

1.1 The Rectangular Coordinate System and Graphing
1.2 Functions and Their Graphs
1.3 Linear Functions, Slope, and Average Rate of Change
1.4 Equations of Lines and Modeling

Unit 2: Quadratic Functions

2.1 Quadratic Equations and Complex Numbers
2.2 Quadratic Functions and their Graphs
2.3 Quadratic Functions, Average Rate of Change on an Interval, Quadratic Models, and Applications
2.4 Quadratic Inequalities and Applications

Unit 3: Properties of Functions and Other Families of Functions

3.1 Properties of Functions and Operations on Functions
3.2 Transformations and Symmetry
3.3 Piecewise Defined Functions and Absolute Value Functions
3.4 Root/Radical Functions
3.5 Rational Exponent Functions

Unit 4: Power Functions, Polynomial Functions, and Rational Functions

4.1 Power Functions
4.2 Polynomial Functions
4.3 Rational Functions Part I
4.4 Rational Functions Part II
4.5 Polynomial and Rational Inequalities

Unit 5: More on Zeros of Polynomial Functions

5.1 Polynomial and Synthetic Division
5.2 The Remainder, Factor, and Rational Zeros Theorems
5.3 Complex Zeros and The Fundamental Theorem of Algebra

Unit 6: Exponential and Logarithmic Functions

6.1 One-to-One Functions and Inverse Functions
6.2 Exponential Functions and Applications
6.3 Logarithmic Functions and Applications
6.4 Properties of Logarithms
6.5 Exponential and Logarithmic Equations
6.6 Exponential and Logarithmic Models and Growth and Decay Applications

Unit 7: Systems of Linear Equations and Inequalities

7.1 Systems of Linear Equations in Two Variables
7.2 Systems of Linear Equations in Three Variables
7.3 Matrices and Gauss-Jordan
7.4 Partial Fraction Decomposition
7.5 Systems of Linear Inequalities

Unit 8: Conic Sections

8.1 The Parabola and Applications
8.2 The Ellipse, Circle, and Applications
8.3 The Hyperbola
8.4 Systems of Nonlinear Equations and Inequalities

Unit 9: Sequences and Series

9.1 Sequences and Series
9.2 Arithmetic Sequences and Series
9.3 Geometric Sequences and Series
9.4 The Binomial Theorem

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College Algebra: A Function Approach that prepares for Calculus

Description

How does Möbius take this Content Pack to the next level?

Course Structure

Unit 1: Functions, Graphs, and Modeling

1.1 The Rectangular Coordinate System and Graphing

1.2 Functions and Their Graphs

1.3 Linear Functions, Slope, and Average Rate of Change

1.4 Equations of Lines and Modeling

Unit 2: Quadratic Functions

2.1 Quadratic Equations and Complex Numbers

2.2 Quadratic Functions and their Graphs

2.3 Quadratic Functions, Average Rate of Change on an Interval, Quadratic Models, and Applications

2.4 Quadratic Inequalities and Applications

Unit 3: Properties of Functions and Other Families of Functions

3.1 Properties of Functions and Operations on Functions

3.2 Transformations and Symmetry

3.3 Piecewise Defined Functions and Absolute Value Functions

3.4 Root/Radical Functions

3.5 Rational Exponent Functions

Unit 4: Power Functions, Polynomial Functions, and Rational Functions

4.1 Power Functions

4.2 Polynomial Functions

4.3 Rational Functions Part I

4.4 Rational Functions Part II

4.5 Polynomial and Rational Inequalities

Unit 5: More on Zeros of Polynomial Functions

5.1 Polynomial and Synthetic Division

5.2 The Remainder, Factor, and Rational Zeros Theorems

5.3 Complex Zeros and The Fundamental Theorem of Algebra

Unit 6: Exponential and Logarithmic Functions

6.1 One-to-One Functions and Inverse Functions

6.2 Exponential Functions and Applications

6.3 Logarithmic Functions and Applications

6.4 Properties of Logarithms

6.5 Exponential and Logarithmic Equations

6.6 Exponential and Logarithmic Models and Growth and Decay Applications

Unit 7: Systems of Linear Equations and Inequalities

7.1 Systems of Linear Equations in Two Variables

7.2 Systems of Linear Equations in Three Variables

7.3 Matrices and Gauss-Jordan

7.4 Partial Fraction Decomposition

7.5 Systems of Linear Inequalities

Unit 8: Conic Sections

8.1 The Parabola and Applications

8.2 The Ellipse, Circle, and Applications

8.3 The Hyperbola

8.4 Systems of Nonlinear Equations and Inequalities

Unit 9: Sequences and Series

9.1 Sequences and Series

9.2 Arithmetic Sequences and Series

9.3 Geometric Sequences and Series

9.4 The Binomial Theorem

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