Johns Hopkins University
Precalculus: Relations and Functions
Johns Hopkins University

Precalculus: Relations and Functions

This course is part of Precalculus through Data and Modelling Specialization

Taught in English

Some content may not be translated

Joseph W. Cutrone, PhD

Top Instructor

13,477 already enrolled

Included with Coursera Plus

Course

Gain insight into a topic and learn the fundamentals

4.7

(185 reviews)

Beginner level

Recommended experience

11 hours (approximately)
Flexible schedule
Learn at your own pace

What you'll learn

  • Model data with both single and multivariable functions

  • Visualize and analyze data using different technologies.

  • Understand properties of different types of functions to apply them accordingly to model different situations.

  • Perform vector operations, such as addition, scalar multiplication, dot product, and cross product, to analyze geometry in space.

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

9 quizzes

Course

Gain insight into a topic and learn the fundamentals

4.7

(185 reviews)

Beginner level

Recommended experience

11 hours (approximately)
Flexible schedule
Learn at your own pace

See how employees at top companies are mastering in-demand skills

Placeholder

Build your subject-matter expertise

This course is part of the Precalculus through Data and Modelling Specialization
When you enroll in this course, you'll also be enrolled in this Specialization.
  • Learn new concepts from industry experts
  • Gain a foundational understanding of a subject or tool
  • Develop job-relevant skills with hands-on projects
  • Earn a shareable career certificate
Placeholder
Placeholder

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV

Share it on social media and in your performance review

Placeholder

There are 4 modules in this course

Functions help to study the relationship between two or more variables. They are the basic quantitative tool used to visualize, analyze, and interpret these relationships. Studying functions is the first step in developing analytics skills for mathematical modeling. In this module, we develop the concept of a function and review important algebraic operations on functions used later in this course. We will also study the important features, like domain, range, and end behavior of graphs.

What's included

3 videos3 readings2 quizzes

In this module, we will study two common types of functions: linear and quadratic. We will learn how to identify common features of their graphs, and see how they can be used to model real world situations, particularly those involving revenue and cost. We will also further explore function compositions, and learn how to find the inverse of a function.

What's included

5 videos2 readings3 quizzes

In this module, we expand our catalog of functions to study two new functions that arise when modelling natural phenomena: the exponential and logarithmic functions. In the last module, we saw that one-to-one functions have inverses, which reverse the function process. For example, the function f(x) = x^3 has as its inverse the function g(x) = x^(1/3). We now want to expand this process to find inverses for exponential functions - those of the form f(x) = a^x, where a is a positive number not equal to one.

What's included

3 videos2 readings2 quizzes

Understanding the logarithm as an exponent allows for important algebraic properties of the logarithm. In this module, we will explore these properties and their uses as we apply logarithms to real world examples.

What's included

1 video1 reading2 quizzes

Instructor

Instructor ratings
4.8 (83 ratings)
Joseph W. Cutrone, PhD

Top Instructor

Johns Hopkins University
19 Courses376,588 learners

Offered by

Recommended if you're interested in Math and Logic

Why people choose Coursera for their career

Felipe M.
Learner since 2018
"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."
Jennifer J.
Learner since 2020
"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."
Larry W.
Learner since 2021
"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."
Chaitanya A.
"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."

Learner reviews

Showing 3 of 185

4.7

185 reviews

  • 5 stars

    78.60%

  • 4 stars

    14.43%

  • 3 stars

    3.74%

  • 2 stars

    1.06%

  • 1 star

    2.13%

LA
4

Reviewed on Jul 16, 2021

TD
5

Reviewed on Apr 1, 2021

PI
5

Reviewed on Jul 2, 2022

Placeholder

Open new doors with Coursera Plus

Unlimited access to 7,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription

Advance your career with an online degree

Earn a degree from world-class universities - 100% online

Join over 3,400 global companies that choose Coursera for Business

Upskill your employees to excel in the digital economy

Frequently asked questions