College Algebra

Description

The College Algebra Content Pack is an entire OpenStax textbook that you can use as a customizable starting point to a complete college algebra course in Möbius. This customizable resource includes all traditional OpenStax features such as chapter introductions, sections, review material, and practice tests, and has been enhanced with Möbius capabilities including algorithmic questions, in-lesson questions with unlimited practice, helpful hints, and immediate feedback. The modular approach and richness of content from OpenStax ensure that this Content Pack meets the needs of this introductory algebra course. This College Algebra Content Pack offers a wealth of examples with detailed, conceptual explanations and builds a strong foundation for the material before asking students to apply what they have learned.

How does Möbius take OpenStax to the next level?

All chapter sections delivered as Möbius lessons with checkpoint questions embedded right inside of lessons.
Learn how Möbius’ unique STEM question types provide the best STEM learning experience.
Deliver OpenStax exercises using over 50 configurable assessment properties.

Course Structure

All content is organized into 10 units for easy navigation
Course materials provide a solid foundation for creating your course offering which include 78 lessons with illustrative visualizations, unlimited practice, helpful hints, and immediate feedback to promote Active Learning
Different forms of assessment materials are distributed across 77 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

10 units

78 lessons

77 assignments

2000+ questions

Unit 0: Introductory Material

Unit 1: Prerequisites

1.1 Real Numbers: Algebra Essentials
1.2 Exponents and Scientific Notation
1.3 Radicals and Rational Expressions
1.4 Polynomials
1.5 Factoring Polynomials
1.6 Rational Expressions

Unit 2: Equations and Inequalities

2.1 The Rectangular Coordinate Systems and Graphs
2.2 Linear Equations in One Variable
2.3 Models and Applications
2.4 Complex Numbers
2.5 Quadratic Equations
2.6 Other Types of Equations
2.7 Linear Inequalities and Absolute Value Inequalities

Unit 3: Functions

3.1 Functions and Function Notation
3.2 Domain and Range
3.3 Rates of Change and Behavior of Graphs
3.4 Composition of Functions
3.5 Transformation of Functions
3.6 Absolute Value Functions
3.7 Inverse Functions

Unit 4: Linear Functions

4.1 Linear Functions
4.2 Modeling with Linear Functions
4.3 Fitting Linear Models to Data

Unit 5: Polynomial and Rational Functions

5.1 Quadratic Functions
5.2 Power Functions and Polynomial Functions
5.3 Graphs of Polynomial Functions
5.4 Dividing Polynomials
5.5 Zeros of Polynomial Functions
5.6 Rational Functions
5.7 Inverses and Radical Functions
5.8 Modeling Using Variation

Unit 6: Exponential and Logarithmic Functions

6.1 Exponential Functions
6.2 Graphs of Exponential Functions
6.3 Logarithmic Functions
6.4 Graphs of Logarithmic Functions
6.5 Logarithmic Properties
6.6 Exponential and Logarithmic Equations
6.7 Exponential and Logarithmic Models
6.8 Fitting Exponential Models to Data

Unit 7: Systems of Equations and Inequalities

7.1 Systems of Linear Equations: Two Variables
7.2 Systems of Linear Equations: Three Variables
7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
7.4 Partial Fractions
7.5 Matrices and Matrix Operations
7.6 Solving Systems with Gaussian Elimination
7.7 Solving Systems with Inverses
7.8 Solving Systems with Cramer's Rule

Unit 8: Analytic Geometry

8.1 The Ellipse
8.2 The Hyperbola
8.3 The Parabola
8.4 Rotation of Axis
8.5 Conic Sections in Polar Coordinates

Unit 9: Sequences, Probability and Counting Theory

9.1 Sequences and Their Notations
9.2 Arithmetic Sequences
9.3 Geometric Sequences
9.4 Series and Their Notations
9.5 Counting Principles
9.6 Binomial Theorem
9.7 Probability

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Description

How does Möbius take OpenStax to the next level?

Course Structure

Unit 0: Introductory Material

Unit 1: Prerequisites

1.1 Real Numbers: Algebra Essentials

1.2 Exponents and Scientific Notation

1.3 Radicals and Rational Expressions

1.4 Polynomials

1.5 Factoring Polynomials

1.6 Rational Expressions

Unit 2: Equations and Inequalities

2.1 The Rectangular Coordinate Systems and Graphs

2.2 Linear Equations in One Variable

2.3 Models and Applications

2.4 Complex Numbers

2.5 Quadratic Equations

2.6 Other Types of Equations

2.7 Linear Inequalities and Absolute Value Inequalities

Unit 3: Functions

3.1 Functions and Function Notation

3.2 Domain and Range

3.3 Rates of Change and Behavior of Graphs

3.4 Composition of Functions

3.5 Transformation of Functions

3.6 Absolute Value Functions

3.7 Inverse Functions

Unit 4: Linear Functions

4.1 Linear Functions

4.2 Modeling with Linear Functions

4.3 Fitting Linear Models to Data

Unit 5: Polynomial and Rational Functions

5.1 Quadratic Functions

5.2 Power Functions and Polynomial Functions

5.3 Graphs of Polynomial Functions

5.4 Dividing Polynomials

5.5 Zeros of Polynomial Functions

5.6 Rational Functions

5.7 Inverses and Radical Functions

5.8 Modeling Using Variation

Unit 6: Exponential and Logarithmic Functions

6.1 Exponential Functions

6.2 Graphs of Exponential Functions

6.3 Logarithmic Functions

6.4 Graphs of Logarithmic Functions

6.5 Logarithmic Properties

6.6 Exponential and Logarithmic Equations

6.7 Exponential and Logarithmic Models

6.8 Fitting Exponential Models to Data

Unit 7: Systems of Equations and Inequalities

7.1 Systems of Linear Equations: Two Variables

7.2 Systems of Linear Equations: Three Variables

7.3 Systems of Nonlinear Equations and Inequalities: Two Variables

7.4 Partial Fractions

7.5 Matrices and Matrix Operations

7.6 Solving Systems with Gaussian Elimination

7.7 Solving Systems with Inverses

7.8 Solving Systems with Cramer's Rule

Unit 8: Analytic Geometry

8.1 The Ellipse

8.2 The Hyperbola

8.3 The Parabola

8.4 Rotation of Axis

8.5 Conic Sections in Polar Coordinates

Unit 9: Sequences, Probability and Counting Theory

9.1 Sequences and Their Notations

9.2 Arithmetic Sequences

9.3 Geometric Sequences

9.4 Series and Their Notations

9.5 Counting Principles

9.6 Binomial Theorem

9.7 Probability

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