Johns Hopkins University
Calculus through Data & Modeling: Applying Differentiation
Johns Hopkins University

Calculus through Data & Modeling: Applying Differentiation

This course is part of Differential Calculus through Data and Modeling Specialization

Taught in English

Some content may not be translated

Joseph W. Cutrone, PhD

Top Instructor

2,364 already enrolled

Included with Coursera Plus

Course

Gain insight into a topic and learn the fundamentals

4.7

(44 reviews)

Intermediate level
Some related experience required
7 hours (approximately)
Flexible schedule
Learn at your own pace

Details to know

Shareable certificate

Add to your LinkedIn profile

Assessments

4 quizzes

Course

Gain insight into a topic and learn the fundamentals

4.7

(44 reviews)

Intermediate level
Some related experience required
7 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 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 5 modules in this course

In single variable calculus, the derivative computes the slope of the tangent line where defined. This is then used to create the equation of the tangent line at a point, which can be used as an accurate estimation tool for complicated functions. This theory generalizes to lines in space which are used to create tangent planes. In this module, we work through the formulas and applications of these notions, using our developed theory of derivatives and partial derivatives.

What's included

2 videos2 readings1 quiz

Some of the most important applications of differential calculus are optimization problems in which the goal is to find the optimal (best) solution. For example, problems in marketing, economics, inventory analysis, machine learning, and business are all concerned with finding the best solution. These problems can be reduced to finding the maximum or minimum values of a function using our notions of the derivative.

What's included

2 videos2 readings1 quiz

As models become more complicated, the functions used to describe them do as well. Many functions require more than one input to describe their output. These multivariable functions also contain maximum and minimum values that we seek to find using the tools of calculus. In this module, we will extend our optimization techniques to multivariable functions.

What's included

1 video2 readings1 quiz

In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints. It is named after the mathematician Joseph-Louis Lagrange. In this module, we develop the theory and work through examples of this powerful tool which converts a constrained problem into a form such that the derivative test of an unconstrained problem can still be applied. The relationship between the gradient of the function and gradients of the constraints rather naturally leads to a usually easier reformulation of the original problem.

What's included

1 video2 readings1 quiz

We now put all our theory and practice to use in a real world problem to model the costs associated to a construction project in an effort to find the best possible price point. This project is challenging and answers may vary slightly based on the assumptions you use. Be thoughtful and clear in your report about any assumptions you make along the way.

What's included

1 peer review

Instructor

Instructor ratings
4.9 (14 ratings)
Joseph W. Cutrone, PhD

Top Instructor

Johns Hopkins University
19 Courses365,859 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 44

4.7

44 reviews

  • 5 stars

    77.77%

  • 4 stars

    15.55%

  • 3 stars

    4.44%

  • 2 stars

    2.22%

  • 1 star

    0%

DP
5

Reviewed on Apr 26, 2022

LS
5

Reviewed on Dec 24, 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