## Hunter College (CUNY) Math 101

This is a custom designed OER course for Hunter College’s Math 101 – Algebra for College Students – course, remixed by Dr. Tatyana Khodorovskiy, from Lumen’s OER materials.

This course presents topics including solving and graphing linear equations, inequalities, systems of linear equations, functions, polynomials, factoring, rational expressions and equations, radical expressions and equations, quadratic functions and graphing parabolas, composite and inverse functions, exponentials and logarithms, graphing techniques, and applications. This OER text is interactive, aligned with OER videos, and complete assessments, this title is a great low-cost alternative to traditional publisher materials.

## About Lumen

Lumen Learning’s mission is to make great learning opportunities available to all students, regardless of socioeconomic background.

We do this by using open educational resources (OER) to create well-designed and low-cost course materials that replace expensive textbooks. Because learning is about more than affordability and access, we also apply learning science insights and efficacy research to develop learning activities that are engineered to improve subject mastery, course completion and retention.

If you’d like to connect with us to learn more about adopting this course, please Contact Us.

## Course Contents

### Module 0: Prerequisite Material

- (0.1) – Fractions Review
- (0.2) – Real Numbers Review
- (0.3) – Order of Operations Review
- (0.4) – Percent Review
- (0.5) – Algebraic Expressions Review

### Module 1: Algebraic Expressions, Linear Equations and Mathematical Models

- (1.1) – Interval and Set-Builder Notation
- (1.2) – Absolute Value
- (1.3) – Coordinate Plane and Graphing Equations
- (1.4) – Solving Linear Equations
- (1.5) – Applications of Linear Equations

### Module 2: Exponents

- (2.1) – Exponent Rules
- (2.2) – Scientific Notation

### Module 3: Functions and Function Notation

- (3.1) – Functions and their Notation
- (3.2) – Graphs of Functions
- (3.3) – Domain and Range
- (3.4) – Algebra of Functions

### Module 4: Linear Functions

- (4.1) – Characteristics of Linear Functions and their Graphs
- (4.2) – Equations of Linear Functions
- (4.3) – Parallel and Perpendicular Lines

### Module 5: Systems of Linear Equations

- (5.1) – Linear Systems in Two Variables
- (5.2) – Applications of Systems of Linear Equations

### Module 6: Inequalities

- (6.1) – Linear Inequalities in One Variable
- (6.2) – Compound Inequalities
- (6.3) – Equations and Inequalities with Absolute Value
- (6.4) – Linear Inequalities and Systems of Linear Inequalities in Two Variables

### Module 7: Polynomials and Polynomial Functions

- (7.1) – Algebraic Operations on Polynomials
- (7.2) – Polynomial Functions
- (7.3) – Factoring Trinomials
- (7.4) – Factoring Special Cases
- (7.5) – Polynomial Equations and Applications

### Module 8: Rational Expressions, Functions, and Equations

- (8.1) – Rational Expressions and Functions
- (8.2) – Operations on Rational Expressions
- (8.3) – Division of Polynomials
- (8.4) – Rational Equations
- (8.5) – Applications of Rational Equations
- (8.6) – Variation

### Module 9: Radical Functions and Rational Exponents

- (9.1) – Introduction to Roots
- (9.2) – Radical Expressions and Rational Exponents
- (9.3) – Radical Functions
- (9.4) – Algebraic Operations with Radical Expressions
- (9.5) – Radical Equations
- (9.6) – Imaginary and Complex Numbers

### Module 10: Quadratic Equations and Functions

- (10.1) – Quadratic Equations
- (10.2) – Quadratic Functions and their Graphs
- (10.3) – Applications of Quadratic Functions

### Module 11: Graphing Techniques

- (11.1) – Toolkit Functions
- (11.2) – Transformations of Functions
- (11.3) – Piecewise Functions

### Module 12: Exponential and Logarithmic Functions

- (12.1) – Exponential Functions
- (12.2) – Composite and Inverse Functions
- (12.3) – Logarithmic Functions

### Module 13: Additional Material

- (13.1) – Distance Formula, Midpoint Formula, Circles