Introduction to Calculus に戻る

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The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key threshold concepts in foundational mathematics.
Students taking Introduction to Calculus will:
• gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks),
• develop fluency with the preliminary methodology of tangents and limits, and the definition of a derivative (third week),
• develop and practice methods of differential calculus with applications (fourth week),
• develop and practice methods of the integral calculus (fifth week)....

CN

2021年11月13日

thanks coursera and Professor David Easdown for suitable instruction and friendly methodology after calculus which course to carry in advancement\n\nmy will is to undergoes with chemistry engineering

OM

2020年9月26日

I have completed quite a few courses on Coursera. This is by far the best instructor. I really hope David is going to do teach another Coursera course soon - I will sign up regardless of the content!

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by Rodney M

•2019年3月9日

I've tried a couple of calculus courses on Coursera. The others i've tried, assumed too much pre-calculus knowledge and did not provide adequate quiz's and problems. Also, they did not ease into new topics as much as i liked.

This course has not only been the best i've seen on Coursera, its the best mathematics course i've done fullstop. Everything is explained right down, right down to the simplest explanations. Many things are referred again to previous videos in the course if something is covered by another video.

I'd really like to shake the professors hand on this course. Magnificent work.

by Marcus S

•2019年1月13日

Excellent introduction to calculus. Clearly explained, great to have some history in there (I'd like more!).

It sets a cracking pace, so do set some time aside to really get the most out of this course. Highly recommended. Gives a great basis to delve into higher mathematics beyond high school.

by Arman M

•2019年7月25日

This professor explained all topics covered in a year long calculus class in the span of five weeks. I highly recommend taking this course either to learn calculus or for a review.

by Andy F

•2020年4月23日

This is one of the greatest course that I had the pleasure to attend. I would recommend it to anyone, whatever their field of study or level; just to open their minds about the beauty of one of mankind's greatest achievements, but also to develop a more rigorous, rational and analytical way of thinking. The latter adjectives are exactly what characterize this course. The lectures are straight to the point, the additional readings are of higher quality than anything that you'll ever expect to find in the most classic textbooks on the subject (trust my words, I have an extensive collection of these). And of course, David Easdown's way of presenting along with the graphics in the videos are as clear as crystal.

This is not a full course in calculus but an introduction. So, it has the imperfections of any introductory courses and should be taken as a complement to more advanced courses tailored for your needs. Yet, this single course has achieved the phenomenal outcome of being interesting both to students working on their A level and someone like me who's currently doing a PhD in Economics. I learnt much more here than anywhere since I first started calculus 10 years ago; I came for a refresher before attacking more advanced topics, and I'm leaving with a deep understanding of how things (which I thought irrelevant) are interdependent and make full circle.

For future attendees, have an open mind: go along with the pace of the course, attempt all the exercises and don't overestimate your understanding. At the end it pays off.

Thanks to David Easdown and his team for their passion and for putting the full course free of charge. I hope that the advanced course will come soon.

by David L

•2019年10月14日

Awesome Class. I have much respect for the instructor. I wish he was my Professor when I was a undergraduate taking Calculus. I'm going to go back and practice, practice, and practice! This class was a awesome review! I haven't had to use any of these concepts in my job for a LONG time. I will be using calculus now in my job. Most people don't use it. I will be! This class is probably the best class I had, so far, in Coursera Platform. I desire to take another class from this Professor.

This class was well presented and well explained. I didn't have to look at a text book for this class.

The readings were highly informative.

Thank you, Sir you helped me enjoy Calculus, Finally!

by jack s

•2020年5月27日

18 years ago, I failed grade 9 math with a 23%. Today, I passed Introduction to Calculus on Coursera, which is offered through the University of Sydney and taught by Professor David Easdown.

I wish I could say that I actually enjoyed the course, but I feel like that would be doing a disservice to the version of myself that has been pulling his hair out for the past 5 weeks. Indeed, if I’ve learned anything during this process, I’ve learned that Calculus is hard. Very hard.

I will say, though, that this is in no way meant as a slight against Professor Easdown and the style of the course. Quite the contrary; Professor Easdown is an incredibly engaging teacher and manages to make this very difficult subject digestible. And while I wouldn’t say at this point that I can ‘do calculus’, I would say that the course was very, very rewarding and that it certainly provided a cohesive overview of the pertinent topics in the field, as well equipping the learner with a thorough understanding of the symbols, language, and relevance. The notes that accompanied the lectures were very valuable and helped fill in the gaps, and the structure of the course was very smooth as you transitioned from one topic to the next.

I took this course because I have been rolling through some courses in Artificial Intelligence and simply found that I was out of my depth and simply coding along without any idea of what I was actually doing. And while memorizing algorithms and formulas has its benefits, I decided that I want to fully understand this field – and I don’t think that one can do this properly without a fundamental understanding of Calculus. This course provides just that.

The practice quizzes were more than a little challenging (with the last couple of questions usually very, very challenging). I found that I often had to supplement the course with alternative resources, such as Youtube, Khan Academy, Symbolab, and so on. I had to re-watch lectures and thoroughly dissect the reading notes. As I mentioned, it was a very difficult process that had me pulling my hair out and I’m a bit ashamed to say that I nearly threw my laptop on several occasions. However, as it is with learning any new skill, you just have to keep pushing through knowing that it will be worth it in the end.

Then you get to a module exam, and at this point you realize how you’ve learned so very much in such a small amount of time. It’s honestly incredible. And by the time you get to the very end of the course, which I did today, you realize that you somehow have all the prerequisite knowledge to step by step make sense of equations that might as well have been written in a different language just a month ago. I don’t feel like I can describe that particular feeling.

In all, this course was one of the more rewarding things that I’ve done in recent memory, and I’m so very grateful to Professor Easdown for putting it out there and making such a thorough overview of the topic so accessible to anyone with the interest to pursue it. I coupled this with 1blue3brown’s series The Essence of Calculus on Youtube, and between these two I feel like for the first time in my life I have a true appreciation for the art of mathematics and I’m very eager and inspired to carry on with my studies in this field. Thank you so very much.

Jack

by Kirill N

•2020年2月2日

During this course, I figured out that my pre-grad included neither derivatives, nor integrals (schools in province are bad). It was not a problem during my bachelor's studies in Linguistics, but became a huge issue now, once I've begun my Master's in Data Science. Finally I feel my studies getting easier, and my skin becoming cleaner and smoother every day (not really).

Seriously though, this is one of the courses (especially comparing to those from Russian universities) that feel like they were actually being meant to be studied by human beings. Furthermore, it does not require a full payment (or financial aid, at that) to take tests, which are also by far more numerous and frequent than I am used to (a huge plus).

To sum up, one of the best courses I've had a fortune of taking (so far). It felt really beneficial, considering I have to virtually build up my base from nothing in a very limited amount of time: exams are coming, and I still have a whole "statistics" field to cover. Moreover, it gave me a solid foundation which now allows me to (for now) selectively add urgent things like Taylor series and get into multivariate calculus. Still, when the times are better and less chaotic, I am most definitely looking forward to the other courses from the University of Syndey.

P.S. Additional kudos to Mr.Easdown, you've made the course that much better. Thank you!

by Allan C T R

•2020年4月3日

Amazing Explanations..... I love how the course is sequenced and it provides not only the mechanical solutions to calculus but also the theories behind each module and topics... Great Course

by Habib H S

•2019年4月26日

its awesome course...

Mentor is skilled and explains everything clearly.

But if anybody has little bit pre-calculus knowledge it will be more helpful.

by James M

•2019年2月6日

This is a great course and anyone interested in getting into a more detailed study of Calculus should start here. The only suggestion I have is to make the answers to the weekly exams available because it helps to know which ones were incorrect.

by Keeran P

•2020年5月16日

This course was great and very well explained; it has given me a solid understanding of calculus as well as the tools needed to differentiate, find integrals, etc. I highly recommend this course.

by Jean H

•2020年1月2日

Well structured course, fast paced and very challenging. First three weeks were a much needed precalculus review that gave a strong foundation. Last two weeks on derivatives and integrals were gruelling but comprehensive. For the complete beginner this course makes the subject possible as long as you take each bit, one tiny piece at a time and understand it before moving on. Nearly gave up but glad I didn't. Just wish there was a next step. So many of the other maths moocs expect you to be a genius with too many leaps in explanations without explaining how you get there. This one is an exception in that it makes no dangerous assumptions about your knowledge. Calculus is a road block that keeps many out of science. This course goes a long way to removing that block. Please do more courses to build on this.

by Michael L

•2020年6月3日

This course was perfect for me as I hadn't taken calculus since 1970 as an undergrad. I needed the algebra and trigonometry tune-up that is provided at the beginning, and thereafter the material flowed beautifully. Thanks to Professor Easdown for his relaxed yet rigorous style. He incorporates just what I wanted, an appreciation of mathematics as an art. Bravo Professor! Michael Leahy, Chicago, Illinois USA

by Moneer R A

•2019年6月16日

An Absolutely incredible course. Well structured, and David Easdown is the best math instructor I've ever had. Thank you University of Sydney, and Coursera. And Please make a more advance calculus course as a continuation from this one.

by Olve M

•2020年9月27日

I have completed quite a few courses on Coursera. This is by far the best instructor. I really hope David is going to do teach another Coursera course soon - I will sign up regardless of the content!

by Santiago R V

•2020年8月30日

Exceptional course. Fantastic explaining by Professor Easdown, I wish more teachers were as clear as he is, and as kind and thoughtful towards their students. Many, many thanks in case you see this.

by Daniel M L

•2020年7月5日

Best math instructor ever! Very engaged in the topics covered, so much so that he inspires it within his students, even those of us who do not share his love for the subject. Highly recommended!

by Raphael R

•2020年5月8日

An Amazing approach. It's posible enjoy all thing in all modules because the course's prof. presents as much default Calculus topics as wonderful applications about the covered subjects.

by David P

•2019年12月7日

Easily the best Math course I have ever taken. Offers the flexibility to stop and rewind the narrative, but unlike just reading a text, the instructor conveys his own infectious interest and excitement. The instructor anticipates aspects that may be more challenging, and offers background material to help the learners understand. I was supposed to learn all this thirty years ago, and it never made sense until now. Cannot recommend highly enough.

by Jason B

•2019年1月25日

Professor Easdown is an amazing teacher and made something that is often perceived as difficult to be fun. The course covers a great deal of information in a short time, but Prof. Easdown is thorough and breaks topics down into understandable sections. The addition of colorful examples and historical facts adds a relaxed tone to the course, which is exceptionally helpful.

by Max W

•2019年6月8日

An excellent course that not only teaches the fundamental of calculus, but also goes beyond a typical math course and explains why and how the equations arise, instead of merely asking you to memorize them. The instructor is phenomenal and helps to show the elegance of calculus and how all these applications naturally flow from a few basic principles.

by muhammad a

•2019年3月29日

its a very interesting course and i really want to learn this so thanks coursera community and specially the speaker for providing such a wonderful and handy knowledge and notes.

by Rojs A

•2019年8月31日

Builds the idea of calculus from the ground up. Explaining everything steps by step and giving great examples. Overall great course.

by Joseph V M

•2019年7月4日

While the material is at an introductory level, it is comprehensive. The exercises are well-structured and the lectures clear.

by Chuck M

•2019年8月9日

I want to thank Prof. Easdown (and SU) for an excellent course. The material was organized and timed at exactly the pace that was perfect for me. In addition, Prof. Easdown was consistently accessible and prompt responding to my questions and feedback. I don't see a next course, but I hope there will be one and look forward to progressing with the next course in the series.

Thank You Prof. Easdown!

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