Math 102: College Mathematics
 Course type: Selfpaced
 Available Lessons: 108
 Average Lesson Length: 8 min

Eligible for Credit: Yes
Earn transferable credit by taking this course for credit.

Watch a preview:
chapter 1 / lesson 1What are the Different Types of Numbers?
Course Summary
Our College Mathematics course is a quick and affordable way to earn transferable college credits in math. With our engaging and fun video format, our expert instructors make even the most challenging topics easy to understand and enjoyable to learn.To Start This Course Today
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Lesson 1  What are the Different Types of Numbers?

Lesson 3  How to Find the Greatest Common Factor

Lesson 4  How to Find the Least Common Multiple

Lesson 5  What Are the Different Parts of a Graph?

Lesson 6  How to Use The Midpoint Formula

Lesson 7  How to Use The Distance Formula

Go to chapter Math Foundations

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Lesson 1  What is a Linear Equation?

Lesson 5  How to Write a Linear Equation

Lesson 6  What is a System of Equations?

Lesson 7  How Do I Use a System of Equations?

Go to chapter Linear Equations

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Lesson 1  What is an Inequality?

Lesson 2  How to Graph 1 and 2Variable Inequalities

Lesson 4  Graphing Inequalities: Practice Problems

Go to chapter Solving and Graphing Inequalities

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Lesson 1  What is a Parabola?

Lesson 7  How to Complete the Square

Lesson 8  Completing the Square Practice Problems

Go to chapter Graphing and Factoring Quadratic Equations

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Lesson 1  What is an Imaginary Number?

Lesson 3  How to Divide Complex Numbers

Go to chapter Complex and Imaginary Numbers

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Lesson 1  What Are the Five Main Exponent Properties?

Lesson 2  How to Define a Zero and Negative Exponent

Lesson 3  How to Simplify Expressions with Exponents

Lesson 4  Rational Exponents

Go to chapter Properties of Exponents

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Lesson 3  How to Divide Polynomials with Long Division

Go to chapter Properties of Polynomials

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Lesson 3  How to Add and Subtract Rational Expressions

Lesson 5  How to Solve a Rational Equation

Lesson 6  Rational Equations: Practice Problems

Go to chapter Simplifying and Solving Rational Expressions

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Lesson 1  What is a Function: Basics and Key Terms

Lesson 5  What Is Domain and Range in a Function?

Lesson 6  How to Compose Functions

Lesson 7  Inverse Functions

Go to chapter Properties of Functions

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Lesson 1  What Is an Exponential Function?

Lesson 2  Exponential Growth vs. Decay

Lesson 3  What is a Logarithm?

Lesson 4  How to Evaluate Logarithms

Lesson 5  Logarithmic Properties

Lesson 6  Practice Problems for Logarithmic Properties

Lesson 7  How to Solve Exponential Equations

Lesson 8  How to Solve Logarithmic Equations

Go to chapter Logarithms and Exponential Equations

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Lesson 1  Critical Thinking and Logic in Mathematics

Lesson 4  Propositions, Truth Values and Truth Tables

Lesson 6  Conditional Statements in Math

Go to chapter Logic

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Lesson 3  How to Find the Cartesian Product

Lesson 7  What is a TwoWay Table?

Go to chapter Sets

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Lesson 1  Understanding Bar Graphs and Pie Charts

Lesson 3  How to Calculate Mean, Median, Mode & Range

Lesson 4  Calculating the Standard Deviation

Lesson 10  Math Combinations: Formula and Example Problems

Lesson 11  How to Calculate the Probability of Combinations

Lesson 12  How to Calculate a Permutation

Lesson 13  How to Calculate the Probability of Permutations

Go to chapter Probability and Statistics

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Lesson 2  Properties of Shapes: Triangles

Lesson 3  Perimeter of Triangles and Rectangles

Lesson 4  Area of Triangles and Rectangles

Lesson 5  Circles: Area and Circumference

Lesson 7  How to Identify Similar Triangles

Lesson 8  Applications of Similar Triangles

Lesson 9  Parallel, Perpendicular and Transverse Lines

Lesson 11  Angles and Triangles: Practice Problems

Lesson 12  Properties of Shapes: Circles

Go to chapter Geometry
Course Format
Math 102 consists of short video lessons that are organized into topical chapters. Each video is approximately 510 minutes in length and comes with a quick quiz to help you measure your learning. At the end of each chapter, you can complete a chapter test to see if you're ready to move on or have some material to review. Once you've completed the entire course, take the practice test to see if you're ready to earn credit. Use the study tools in the course to prepare for your final exam.
The course is completely selfpaced. Watch lessons on your schedule whenever and wherever you want. When you're ready, take the final exam.
Course Outcomes
Upon completion of the course, you will be able to:
 Write and graph linear equations
 Solve and graph inequalities with one or two variables
 Simplify expressions with exponents and rational exponents
 Know how to graph cubics, quartics, and quintics
 Evaluate logarithms and solve logarithmic equations
 Understand uses of logic in mathematics
 Understand elements of sets and subsets
 Calculate percent increase with relative and cumulative frequency tables
 Calculate probabilities
 Find perimeter, area, and circumference in triangles, circles, and rectangles
Grading Policy
Your grade for this course will be calculated out of 150 points. The minimum score required to pass and earn real ACE college credit for this course is 105 points, or an overall course grade of 70%. The table below shows the assignments you must complete and how they'll be incorporated into the overall grade.
Assignment  Possible Points 

Quizzes  50 
Proctored Final Exam  100 
Total  150 
 Quizzes are meant to test your comprehension of each lesson as you progress through the course. You must complete the required quizzes with a score of 80% or higher to earn points toward your final grade and access the proctored final exam. Chapter exams are for selfassessment and do not count toward your final grade.
 The proctored final exam is a cumulative test designed to ensure that you've mastered the material in the course. You'll earn one point for every percentage point you receive on the proctored final. (So if you score an 85% on the final, that's 85 points toward your final grade.)
Items Allowed on Study.com Proctored Exam for Math 102:
 A nongraphing, scientific calculator
 One sheet of blank scratch paper
 Pen or pencil
Items NOT Allowed on Study.com Proctored Exam for Math 102:
 Graphing calculators
 Office programs, web browsers, or any programs other than Software Secure (including Study.com lessons)
 Textbooks (digital or physical)
 Mobile phones, headphones, speakers, TVs, radios
 Notebooks or notes
How It Works:
The American Council on Education (ACE) has evaluated this math course and recommended it for college credit. To earn credit, follow these steps
 Identify if you need a college mathematics course for your degree.
 Check with your registrar to see if your school is one of the 2,000 colleges and universities that accept credit from ACErecommended courses.
 Complete Math 102 by watching videos, taking short quizzes and completing practice exams.
 Contact our expert instructors if you ever have questions.
 Take the creditgranting Math 102 exam on our site.
 Transfer credit to your school!
Prerequisites
There are no prerequisites for this course.
Course Topics
Category  Objectives 

Math Foundations  Get information on various types of numbers, parts of a graph, the midpoint and distance formulas. Find out how to determine a number's prime factorization and the greatest common factor. 
Linear Equations  Learn what a linear equation is and how to graph and write them. Discover abstract algebraic examples and systems of equations. 
Solving and Graphing Inequalities  Examine inequalities, absolute value inequalities and systems of inequalities. Learn how to solve, write and graph them. 
Graphing and Factoring Quadratic Equations  Study the three forms of parabolas and find examples in the real world. See how to utilize FOIL to multiple binomials and factor quadratic equations. 
Complex and Imaginary Numbers  Study imaginary and complex numbers, including how to perform operations with complex numbers and solve quadratics with complex numbers as the solution. 
Properties of Exponents  Explore the five main properties of exponents and why they are useful. See ways to apply exponent properties with rational exponents. 
Properties of Polynomial Functions  See how to add, subtract and multiply polynomial and learn to use synthetic and long division with polynomials. 
Simplifying and Solving Rational Expressions  Practice adding, subtracting, multiplying and dividing rational expressions, and learn to solve a rational equation. 
Properties of Functions  Find out what function notation is and why it is useful. Learn about domain and range, transformations and inverse functions. 
Logarithms and Exponential Equations  Define an exponential function and demonstrate their use. Learn about exponential growth and decay and exponential equations with logarithms. 
Logic  Explore logic and critical thinking in mathematics, with a look at logical fallacies, circular reasoning and appeals to emotion or ignorance. Discover logical math connectors, propositions, truth value and conditional statements in math. 
Sets  Look at mathematical sets, cardinality and types of subsets. Study the Cartesian product, Venn diagrams and categorical propositions. 
Probability and Statistics  See how to interpret bar graphs, pie charts and relative and cumulative frequency tables. Calculate median, mean, range, mode and the standard deviation. 
Geometry  Explore the properties of shapes and apply the formulas to solve various problems. Practice solving problems with the Pythagorean theorem. 
What to Expect For the Exam
The American Council on Education (ACE) has evaluated this Study.com course and recommended it for college credit. Once you've completed this course, you can take the proctored final exam and potentially earn credit. Follow the steps below to take the exam.
Exam Steps
PreExam Checklist
Before taking the exam, all of the following requirements must be met:
A College Accelerator Study.com membership.  
Completed the entire Math 102: College Mathematics course and achieved 100% Course Progress.  
Not attempted to take this exam within the last three days.  
Have available proctored exams in this month of membership. 
Please complete all of the prerequirements in the PreExam Checklist in order to take the exam.
Start Exam RegistrationExam Process Details
1. Register For Exam
Registering for the exam is simple. First, be sure you meet the system requirements. Next, you'll need to agree to the academic integrity policy. Then just confirm your name and the exam name, and you're ready to go!
2. Download Software Secure
You'll receive an unique access code. Please write this down — you'll need it to take the exam. Then download Software Secure and follow the installation instructions.
3. Take Exam
The exam contains 50  100 multiple choice questions. You will have two hours to complete the exam, so don't start until you're sure you can complete the entire thing. And remember to pace yourself!
4. Get Exam Results
We will send you an email with your official exam results within 1 to 2 weeks.
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