This course is part of the Algebra: Elementary to Advanced Specialization

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stars
93 ratings

Joseph W. Cutrone, PhD

Top Instructor

4,911 already enrolled

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Algebra: Elementary to Advanced SpecializationJohns Hopkins University

About this Course

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After completing this course, students will learn how to successfully apply functions to model different data and real world occurrences. This course reviews the concept of a function and then provide multiple examples of common and uncommon types of functions used in a variety of disciplines.  Formulas, domains, ranges, graphs, intercepts, and fundamental behavior are all analyzed using both algebraic and analytic techniques. From this core set of functions, new functions are created by arithmetic operations and function composition. These functions are then applied to solve real world problems. The ability to picture many different types of functions will help students learn how and when to apply these functions, as well as give students the geometric intuition to understand the algebraic techniques.  The skills and objectives from this course improve problem solving abilities.

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Course 2 of 3 in the

Algebra: Elementary to Advanced Specialization

Beginner Level

Approx. 5 hours to complete

English

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Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Coursera Labs

Includes hands on learning projects.

Learn more about Coursera Labs

Course 2 of 3 in the

Algebra: Elementary to Advanced Specialization

Beginner Level

Approx. 5 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Instructor rating

4.86/5 (31 Ratings)

Joseph W. Cutrone, PhD
Top Instructor

Associate Teaching Professor and Director of Online Programs

Mathematics

50,899 Learners

16 Courses

Offered by

Johns Hopkins University

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Syllabus - What you will learn from this course

Week1

Week 1

2 hours to complete

Module 1: Introduction to Functions

A linear relationship between two variables occurs when there is a constant increase or constant decrease in one variable with respect to the other. Linear functions have the property that any chance in the independent variable results in a proportional change in the dependent variable. Many physical situations can be modeled using a linear relationship. Adding an extra term of the form ax^2 to a linear function creates a quadratic function, and its graph is the parabola. We will see examples of linear and quadratic functions and their applications in the sections that follow.

2 hours to complete

2 videos (Total 40 min), 5 readings, 2 quizzes

Week2

Week 2

3 hours to complete

Module 2: Other Common Functions

In the last module we introduced the important concept of a function and considered the linear and quadratic functions. In this module, we discuss methods for building new functions from those that are already familiar to use. One method will use the graph shifting techniques already introduced. These methods are developed further and applied to new functions. Constructing a graph is often an important first step in solving a problem. The more functions you can picture, the better problem solver you will be.

3 hours to complete

3 videos (Total 52 min), 5 readings, 2 quizzes

Week3

Week 3

1 hour to complete

Final Exam: Functions and Applications

Congratulations on reaching the final exam! This final assessment will be cumulative in nature, covering all aspects of the course. Use this final as a teaching tool: justify what you know and identify areas for improvement. Use scrap paper as you take this final. Try to use any formula sheets or outside resources as a tool and not a crutch. Check your answers before you submit. After the test, review any incorrect answers to find your mistakes. Try to separate "silly" mistakes from the more substantial mistakes in understanding. Good luck!

1 hour to complete

Reviews

4.8

24 reviews

5 stars
84.53%
4 stars
10.30%
3 stars
3.09%
1 star
2.06%

TOP REVIEWS FROM ALGEBRA: ELEMENTARY TO ADVANCED - FUNCTIONS & APPLICATIONS

by RMSep 9, 2021

Excellent course! What I really enjoyed were the practical examples that brought the forms to life.

by DBFeb 8, 2022

Excellent course. I've done 2/3 of the specialization and looking forward to course #3.

by HHMay 5, 2022

Great instructor, exercises, and explanations. Course is well organized and orchestrated.

by QJSep 15, 2022

An excellent course just what I needed to understand functions better. The teacher is a pro at explaining and the exercises is perfectly put together. A thumbs up from me. Thanks:)

View all reviews

About the Algebra: Elementary to Advanced Specialization

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

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Algebra: Elementary to Advanced - Functions & Applications

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