Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach.
Calculus: Single Variable Part 2 - Differentiation
Gain insight into a topic and learn the fundamentals.
4.8
(956 reviews)
9 hours to complete
3 weeks at 3 hours a week
Flexible schedule
Learn at your own pace
95%
Most learners liked this course
Skills you'll gain
Details to know
Assessments
16 assignments
Taught in English
See how employees at top companies are mastering in-demand skills
There are 3 modules in this course
Think derivatives mean "slopes"? Not anymore... In this module, we will reconsider what a derivative is and means in terms of the asymptotic (or big-O) notation from the previous chapter. This will give us a new language for describing and understanding rates of change and the rules that govern them.
What's included
3 videos2 readings5 assignments
Why exactly are derivatives so central to calculus? In part, it is because they are so ubiquitously useful! In this module, we will recall a few core applications of derivatives. In so doing, we'll see exactly how having an understanding of the asymptotics assists in building applications of the derivative.
What's included
5 videos6 assignments
There is much more to derivatives than simply their computation and applications. So much of how they arise is calculus is in the mysterious guise of *differentials*. These arise from implicit differentiation, which in turn reveals a deeper level of understanding of what differentiation means.
What's included
3 videos1 reading5 assignments
Instructor
Instructor ratings
4.7 (145 ratings)
Offered by
Recommended if you're interested in Math and Logic
Korea Advanced Institute of Science and Technology(KAIST)
Johns Hopkins University
Johns Hopkins University
Johns Hopkins University
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
4.8
956 reviews
- 5 stars
84.41%
- 4 stars
12.62%
- 3 stars
1.73%
- 2 stars
0.71%
- 1 star
0.50%
Showing 3 of 956
OO
5
Reviewed on Aug 13, 2020
I gave 5 stars ....should have been 6 or more!!!!.....a Masterpiece of course.....Thanks Dr Ghrist, really thank you for it.....and congratulations to you, your team and all who study it....
GQ
4
Reviewed on Mar 16, 2019
some interesting applications of even the most basics of calculus, also finally a way to truely understand the second derivate test
NS
5
Reviewed on Jun 29, 2018
It's really a learning experience. Questions have the practical approach. It provides a wider prospective of knowledge and application. Thank you for being a part this group.
Open new doors with Coursera Plus
Unlimited access to 10,000+ 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
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.