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....

创建者 MM

•Jan 11, 2016

This course is tricky and also excellent. I am a computer science student from germany, and it took me quite some time and effort to pass it. The course is well structured, and can be done in time.

创建者 RB

•Feb 11, 2017

Feeling really great after finishing the course. Learnt a lot and gained deeper insights into the calculus.\n\nLooking forward to Multi Variable Calculus.

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24 个审阅

创建者 Vishal Gupta

•Feb 08, 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 Khadija Hassan

•Jan 31, 2019

Challenging but worth it! I did have to use supplemental tools to aid in my learning but that may not be the case for everyone.

创建者 Nathan Heng

•Oct 12, 2018

There are assignments in this course that leave the student unprepared to pass based on the material. The discussion forums point to trying harder or using other methods, but offer little help. It looks as though students spend weeks on completing a single HW assignment. A simple format change would go a long way in testing the students' understanding while not just giving them the answer.

创建者 CMC

•Jul 10, 2018

An introduction to numerical analysis was exactly what I need.

创建者 Mohammed Alghobari

•Jun 26, 2018

This was a great course. It was my first time learning about single-variable calculus with Taylor Series at the heart of it. It gave me a deeper and better perspective. It was also my first time learning about topics like orders of growth and big-oh, forward differences, Fibonacci and Pell sequences, falling powers and discrete calculus. I had a blast learning about them. The professor also introduced ODEs, probability, discrete mathematics and numerical methods. He got me interested in taking a course on each one of these subjects. The design and execution of the video lectures was excellent. Homework and exam problems were challenging and helped solidify my understanding of the material. Don't miss this course!

创建者 Lau Chin Cho Cybele

•Apr 21, 2018

thank you very much

创建者 Georgios Papadopoulos

•Dec 20, 2017

A course from the future of education!

创建者 Xiao Liang

•Dec 04, 2017

Again and again and again ... love the bonus lectures! Really enlightening! Please release the Multi-variable Calculus ASAP! Can't wait to take it!

创建者 karimdzan aitkhadzaev

•Dec 01, 2017

very cognitive!!

创建者 Anna Skornyakova

•Oct 16, 2017

An excellent course, very challenging, but doable and enjoyable. A lot of thanks to professor Ghrist and his team for the tremendous work on building this course and for my improved level of understanding Calculus. I have just started the university course of classical mechanics, and all problems incluling Calculus seem to be so easy after this tough training. Also a lot of thanks to all of the mentors, for their dedication, patience and and help. If the Multivariable Calculus course by this team becomes available, I definitely will be among its first students.