Johns Hopkins University
Calculus through Data & Modeling: Differentiation Rules

Give your career the gift of Coursera Plus with $160 off, billed annually. Save today.

Johns Hopkins University

Calculus through Data & Modeling: Differentiation Rules

Joseph W. Cutrone, PhD

Top Instructor

2,889 already enrolled

Included with Coursera Plus

Gain insight into a topic and learn the fundamentals.
4.8

(59 reviews)

Intermediate level
Some related experience required
7 hours to complete
3 weeks at 2 hours a week
Flexible schedule
Learn at your own pace
Gain insight into a topic and learn the fundamentals.
4.8

(59 reviews)

Intermediate level
Some related experience required
7 hours to complete
3 weeks at 2 hours a week
Flexible schedule
Learn at your own pace

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

6 assignments

Taught in English

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

Placeholder

Build your subject-matter expertise

This course is part of the Differential Calculus through Data and Modeling 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 7 modules in this course

In previous course, we defined and calculated the derivative as a limit. In this module, we will examine the derivatives of some important functions, including polynomials, exponentials, logarithms, and trigonometric functions. We will also learn differentiation rules which will help us to compute derivatives more efficiently. Finally, we will generalize the idea of a derivative to multivariable functions, and learn how to find derivatives and rates of change on a graph in space.

What's included

3 videos1 reading1 assignment

The formulas of this section enable us to differentiate new functions formed from old functions by multiplication or division.

What's included

2 videos1 reading1 assignment

Before starting this module, please review trigonometric functions, in particular their graphs. In this module, we will develop formulas to find derivatives for the common trigonometric functions of sine and cosine. Together with the product and quotient rules, the derivatives for the remaining trigonometric functions are formulated. These new derivative formulas are then added to our catalog to use and apply to solve problems related to rates of change.

What's included

2 videos1 reading1 assignment

Many functions are created through composition of other functions. In this module, one of the most important of the differentiation rules of this course is developed which will allow us to find derivatives of the compositions of functions. This rule is called the chain rule and has a variety of applications.

What's included

1 video1 reading1 assignment

In this module, the notion of the derivative is applied to multivariable functions through the notion of partial derivatives. Algebraic rules are developed to find partial derivatives of multivariable functions as well as their geometric interpretations. The development of the tools of calculus to multivariable functions allows for further analysis of more complicated data sets.

What's included

1 video2 readings1 assignment

In this module, we continue the application of partial derivatives to find rates of changes in any direction by developing the theory of directional derivatives and gradient vectors. These new tools of multivariable calculus can then be applied to problems in economics, physics, biology, and data science.

What's included

1 video2 readings1 assignment

Apply the theory of this course to model a flight path for a landing aircraft.

What's included

1 peer review

Instructor

Instructor ratings
4.6 (14 ratings)
Joseph W. Cutrone, PhD

Top Instructor

Johns Hopkins University
20 Courses532,564 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 59

4.8

59 reviews

  • 5 stars

    85.48%

  • 4 stars

    11.29%

  • 3 stars

    1.61%

  • 2 stars

    1.61%

  • 1 star

    0%

KB
5

Reviewed on Jan 22, 2024

GR
5

Reviewed on Mar 3, 2024

SM
5

Reviewed on Jun 1, 2021

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