Math 103: Precalculus
 Course type: Selfpaced
 Available Lessons: 82
 Average Lesson Length: 8 min

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

Watch a preview:
chapter 1 / lesson 1Functions: Identification, Notation & Practice Problems
Course Summary
Our Precalculus course is a simple and affordable way to earn transferable college credits in math. With our engaging and fun video format, our expert instructors make these challenging topics enjoyable to learn.To Start This Course Today
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Lesson 3  What Is Domain and Range in a Function?

Lesson 5  How to Compose Functions

Lesson 6  Inverse Functions

Go to chapter 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 5  How to Evaluate Logarithms

Lesson 6  Logarithmic Properties

Lesson 7  Practice Problems for Logarithmic Properties

Lesson 8  How to Solve Exponential Equations

Lesson 9  How to Solve Logarithmic Equations

Go to chapter Evaluating Exponential and Logarithmic Functions

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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 Inequalities

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Lesson 1  What are the Different Types of Numbers?

Lesson 2  What Are the Different Parts of a Graph?

Lesson 3  What is a Linear Equation?

Lesson 7  How to Write a Linear Equation

Lesson 8  What is a System of Equations?

Lesson 9  How Do I Use a System of Equations?

Go to chapter Foundations of Linear Equations

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Go to chapter Graphing and Rational Equations

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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 Factoring and Graphing Quadratic Equations

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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

Lesson 8  How to Divide Polynomials with Long Division

Go to chapter Exponents and Polynomials

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Lesson 1  What are Piecewise Functions?

Lesson 3  How to Graph Piecewise Functions

Lesson 4  Translating Piecewise Functions

Lesson 5  How to Evaluate Composite Functions

Go to chapter Piecewise and Composite Functions

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Lesson 1  How to Solve Visualizing Geometry Problems

Lesson 2  How to Calculate the Volumes of Basic Shapes

Lesson 4  Trigonometry: Sine and Cosine

Lesson 5  Trigonometry and the Pythagorean Theorem

Go to chapter Geometry and Trigonometry

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Go to chapter Using Scientific Calculators

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Lesson 1  Graphing Sine and Cosine

Lesson 2  Graphing Sine and Cosine Transformations

Lesson 4  Unit Circle: Memorizing the First Quadrant

Lesson 7  Law of Sines: Definition and Application

Lesson 8  Law of Cosines: Definition and Application

Lesson 9  The Double Angle Formula

Lesson 10  Converting Between Radians and Degrees

Lesson 11  How to Solve Trigonometric Equations for X

Lesson 12  List of the Basic Trig Identities

Go to chapter Trigonometry
Course Format
Math 103 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.
Course Outcomes
Upon completion of the course, you will be able to:
 Determine the domain and range of functions
 Solve and graph equations with exponential functions and logarithms
 Evaluate compound inequalities and systems of inequalities
 Graph 1 and 2 variable inequalities and absolute value inequalities
 Solve linear equations with one and two variables
 Factor quadratic equations
 Evaluate and graph piecewise functions
 Solve visualizing geometry problems
 Solve problems with the Pythagorean theorem
 Use the double angle formula
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 103:
 A nongraphing, scientific calculator
 One sheet of blank scratch paper
 Pen or pencil
Items NOT Allowed on Study.com Proctored Exam for Math 103:
 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 precalculus course and recommended it for college credit. To earn credit, follow these steps:
 Identify if you need a precalculus 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 103 by watching videos, taking short quizzes and completing practice exams.
 Contact our expert instructors if you ever have questions.
 Take the creditgranting Math 103 exam on our site.
 Transfer credit to your school!
Prerequisites
There are no prerequisites for this course, but many students choose to complete Math 102: College Mathematics prior to prior to Precalculus.
Course Topics
Category  Objectives 

Functions  Dig into function notation, how to shift graphs, domain and range and how to perform operations with functions. Learn about composing functions and inverse functions. 
Evaluating Exponential and Logarithmic Functions  Find out about exponential functions, growth and decay as well as logarithms and how to graph them. Discover how to solve exponential equations with logarithms and logarithmic equations with exponentials. 
Inequalities  Define an inequality with real life examples. See how to solve and graph 1 and 2variable inequalities, absolute value inequalities and systems of inequalities. 
Foundations and Linear Equations  Get familiar with different types of numbers, parts of a graph, linear equations and systems of equations. Learn to graph an undefined slope and a zero slope. 
Graphing and Rational Equations  Gain an understanding of graphing reflections, solving rational equations and finding the least common denominators. 
Factoring and Graphing Quadratic Equations  Explore the three forms of parabolas, and find examples from the real world. See how to apply the vertical line test to graphs, learn to use FOIL for various operations and get practice in solving equations with the quadratic formula. 
Exponents and Polynomials  Name the five exponent properties and define a zero and negative exponents. Gain skills in performing operations with polynomials and graphing cubics, quartics and quintics. 
Piecewise and Composite Functions  Define piecewise functions, learn to find the domain and how to graph them. See how to evaluate composite functions and how to solve equations for different valuables. 
Geometry and Trigonometry  Explore ways to solve visualizing geometry problems, calculate the volume of basic shapes and find distance with the Pythagorean theorem. 
Using Scientific Calculators  Learn to use a scientific calculator to solve equations and understand radians and degrees. 
Trigonometry  Become proficient in graphing sine and cosine as well as the tangent function. Study the law of sines and cosines, the double angle formula and the basic trig identities. 
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 103: Precalculus 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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