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.
In this fifth part--part five of five--we cover a calculus for sequences, numerical methods, series and convergence tests, power and Taylor series, and conclude the course with a final exam. Learners in this course can earn a certificate in the series by signing up for Coursera's verified certificate program and passing the series' final exam....

PC

Sep 14, 2019

Loved it ! I've grown attached to Prof. Ghrist's lectures, so it is with a heavy heart that I took the final exam and finished this course. I xould really love to take another !

SC

Apr 9, 2020

A fantastic course. Kudos to Prof. Ghrist for making this a fun, interesting and challenging ride at the same time. Looking forward to Multivariable Calculus by Prof. Ghrist.

筛选依据：

创建者 Michael C

•May 2, 2019

Great course.

创建者 Nafis F

•Oct 27, 2020

Awesome!!!

创建者 Edilson S

•Jul 27, 2016

Amazing!

创建者 Tuan H

•Dec 11, 2016

great!

创建者 Subhee

•Apr 5, 2020

h

创建者 Vishal G

•Feb 8, 2019

I took the discrete calculus part of the course (part 5 of 5) individually of the rest and the teaching is fine with examples for any concept introduced and links between the unfamiliar discrete calculus and ordinary single variable calculus are made all the time. However, I feel like the course isn't so well named as there is only a week of developing the calculus of sequences and then it goes to standard analysis content - I came for the new content only which was a little disappointing. I will pursue it in the future but there wasn't really any suggestions for further study which I found either. The challenge exercises were great for developing on the subject like with the product rule but there isn't much supporting material for the challenge homework like why the product rule formula is asymmetric.

I feel like the end part of the course should be the discrete calculus exam rather than the 5 part final exam because some may be taking this course individually and might not know some of the content in the final part and so, may not pass the course without using external resources to learn things they didn't learn. The final exam should either only be for people who have completed the four previous parts or a choice if you've only taken some of the five parts.

The course was good and Professor Ghrist is great at teaching; just that he takes a little too long but speeding up makes that fine. The topics never feel like they were underutilised or unimportant; every concept is given practical or theoretical justification for its introduction which is fantastic. It would have been nice to see more applications of discrete calculus as a method to evaluate sums, maybe as exercises? I did enjoy the course too, thanks Professor Ghrist and your team.

创建者 Yangyi Z

•Dec 21, 2021

It requires more than this course! You need to learn normal calculus before this to pass the final exam!

创建者 Dhruv K

•Apr 11, 2021

This provides a new outlook on calculus! I thoroughly enjoyed it

创建者 karimdzan a

•Dec 1, 2017

very cognitive!!

创建者 Kevin P

•Mar 20, 2019

Excellent.

创建者 oobleckrocket

•Aug 5, 2021

I've taken calculus classes online before and chose this class as a refresher for my upcoming Calc 3 study this year. First of all, this is NOT a good introductory course. It is the fifth part in a 5 part calculus sequence, and the final test, which is worth over half your grade, reflects on concepts that were not covered once during this course. Even the first few classes begin talking about Taylor Series, which I imagine would be extremely difficult for a beginner to understand.

I haven't taken the full sequence, so perhaps my experience would be better if I did so, but from the perspective of someone that saw this single class as an all-encompassing calc course, that was something I didn't like.

Prof. Ghrist isn't awful at explaining calculus, but I've learned from far, far better instructors (Sal Khan from Khan Academy), to name one. I enjoyed the exercises provided by the course, but I also strongly disliked that there was no given feedback or explanation from any homework answers.

Overall, not really a fan. And the TAs in the discussion forums weren't so helpful either.

创建者 Alex S

•Aug 25, 2021

professors voice is distracting. he sounds like hes trying to sing instead of speak or over emphasing strange parts of each sentence. it makes focusing on the course contect difficult

创建者 Meghan B

•Nov 22, 2020

It starts with lesson 54 and assumes a ton of prior knowledge. I don't trust this course to lead me thoughtfully.

创建者 arccsg

•Jul 18, 2021

It starts in the middle of some other course. There is no context.He sounds like a very disturbing robot.

创建者 Zaurez H

•May 19, 2021

Really horrible course and is made unnecessarily difficult

创建者 Kaodi O

•Jul 2, 2021

Awful. Grace of God that i passed.

创建者 sheath

•Aug 1, 2021

terrible instructor