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

4.8
stars
32 ratings

Joseph W. Cutrone, PhD

Top Instructor

1,755 already enrolled

Offered By

Differential Calculus through Data and Modeling SpecializationJohns Hopkins University

About this Course

4,387 recent views

Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing  new rules for finding derivatives without having to use the limit definition directly.  These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational functions, algebraic functions, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions.  Once these rules are developed, they are then applied to solve problems involving rates of change and the approximation of functions.

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.

Course 3 of 4 in the

Differential Calculus through Data and Modeling Specialization

Intermediate Level

Approx. 7 hours to complete

English

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

Try Coursera for Business

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.

Course 3 of 4 in the

Differential Calculus through Data and Modeling Specialization

Intermediate Level

Approx. 7 hours to complete

English

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

Try Coursera for Business

Instructor

Instructor rating

4.75/5 (8 Ratings)

Joseph W. Cutrone, PhD
Top Instructor

Associate Teaching Professor and Director of Online Programs

Mathematics

52,157 Learners

16 Courses

Offered by

Johns Hopkins University

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

Learn more about Coursera for Business

Syllabus - What you will learn from this course

Week1

Week 1

1 hour to complete

Derivatives of Polynomial, Exponential, and Logarithmic Functions

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.

1 hour to complete

3 videos (Total 36 min), 1 reading, 1 quiz

Week2

Week 2

1 hour to complete

The Product and Quotient Rules

1 hour to complete

2 videos (Total 19 min), 1 reading, 1 quiz

Week3

Week 3

1 hour to complete

Derivatives of Trigonometric Functions

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.

1 hour to complete

2 videos (Total 23 min), 1 reading, 1 quiz

Week4

Week 4

1 hour to complete

The Chain Rule

1 hour to complete

1 video (Total 15 min), 1 reading, 1 quiz

Reviews

4.8

4 reviews

5 stars
88.57%
4 stars
8.57%
2 stars
2.85%

TOP REVIEWS FROM CALCULUS THROUGH DATA & MODELING: DIFFERENTIATION RULES

by SMJun 1, 2021

This is a great course. Instructor is amazing and goes through a large number of examples.

View all reviews

About the Differential Calculus through Data and Modeling Specialization

This specialization provides an introduction to topics in single and multivariable calculus, and focuses on using calculus to address questions in the natural and social sciences. Students will learn to use the tools of calculus to process, analyze, and interpret data, and to communicate meaningful results, using scientific computing and mathematical modeling. Topics include functions as models of data, differential and integral calculus of functions of one and several variables, differential equations, and optimization and estimation techniques.

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.

More questions? Visit the Learner Help Center.

Build employee skills, drive business results

Discover Coursera for Business

Calculus through Data & Modeling: Differentiation Rules

About this Course