# Calculus: Single Variable

Provided by:

10/10 stars

based on
32 reviews

Provided by:

## Course Details

### Cost

**FREE**

### Upcoming Schedule

- On demand

### Course Provider

Coursera online courses

Coursera's online classes are designed to help students achieve mastery over
course material. Some of the best professors in the world - like neurobiology
professor and author Peggy Mason from the University of Chicago, and computer
science professor and Folding@Home director Vijay Pande - will supplement your
knowledge through video lectures. They will also provide challenging
assessments, interactive exercises during each lesson, and the opportunity to
use a mobile app to keep up with yo...

Coursera's online classes are designed to help students achieve mastery over
course material. Some of the best professors in the world - like neurobiology
professor and author Peggy Mason from the University of Chicago, and computer
science professor and Folding@Home director Vijay Pande - will supplement your
knowledge through video lectures. They will also provide challenging
assessments, interactive exercises during each lesson, and the opportunity to
use a mobile app to keep up with your coursework. Coursera also partners with
the US State Department to create “learning hubs” around the world. Students
can get internet access, take courses, and participate in weekly in-person
study groups to make learning even more collaborative. Begin your journey into
the mysteries of the human brain by taking courses in neuroscience. Learn how
to navigate the data infrastructures that multinational corporations use when
you discover the world of data analysis. Follow one of Coursera’s “Skill
Tracks”. Or try any one of its more than 560 available courses to help you
achieve your academic and professional goals.

Provider Subject Specialization

Humanities

Sciences & Technology

4744 reviews

## Course Description

This course provides a brisk, challenging, and dynamic treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.

Instructors

Instructors:
Robert Ghrist

University

University:
University of Pennsylvania

Instructors

Instructors:
Robert Ghrist

University

University:
University of Pennsylvania

Reviews
10/10 stars

32 Reviews for Calculus: Single Variable

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**3**reviews**3**completed

4 years, 2 months ago

I had never seen calculus presented in such an original and efficient way. This course is great, the explanations are clear and there are a lot of examples and applications to get a better understanding of the concepts. Pr Ghrist obviously put a lot of effort in preparing this course and it was worth it. Wish there were a multivariable calculus follow up...

**5**reviews**5**completed

4 years, 3 months ago

One of the best MOOCs out there. Prof Christ does an excellent job explaining (and visualising) difficult concepts. Would recommend it to anyone who's interested in science/engineering.

**3**reviews**3**completed

5 years, 8 months ago

Great course, demanding, but great! The things I liked most: \- no chaos,
everything was perfectly organized, the matter was taught in a logical and
reasonable order, \- beautiful videos, animated movies in fact, \- lecturer's
sense of humor, \- challenging homeworks and exams. Apart from Introduction to
Astronomy by Duke Univerisity and The Science of The Solar System by Caltech,
this is the best course I took on Coursera so far (out of a dozen). Highly
recommended!

**16**reviews**16**completed

5 years, 8 months ago

This a great class. The graphics and videos are probably some of the best I
have seen on Coursera, Udacity, or Edx. The material is tough, but rewarding.
(if you enjoy calculus)

**19**reviews**19**completed

5 years, 9 months ago

I would like to say this is best Calculus course on Coursera. A very good
refreshment with tons of homeworks and the exams. I think it's a good model to
make the homeworks don't count toward scoring, and to provide exams and final
exam with only one attempt allowed. The penncalc is a precious online
resource.

**1**review**0**completed

5 years, 11 months ago

I am updating this review as I go along the course. I have arrived at chapter
4 ("Applications") and it is simply wonderful. Calculus is about gradual
change and I have never seen a better demonstration than in Prof Ghrist's
animated videos. You need to take this course! \------------------------------
------------------------------------------------------------------- First
impressions: Whoah, check out the drawings and the colors! WHAT IS THIS? A
calculus course for kindergarten? Those where my first thoughts when I saw the
promotional video. Meanwhile, I think the drawings and colors are great. You
can feel the sheer amount of energy that the instructor has spent on making
his videos. Math is all about seeing things from a different perspective.
Note: you should have had a prior course in calculus before starting this one.
Also know that Prof Ghrist takes an applied approach to calculus, so expect
few proofs.

**15**reviews**13**completed

5 years, 10 months ago

I am in awe. Robert Ghrist mentioned in the forum he put in 18 months of solid
work into this course and it shows. There are many ways to present calculus
and his way is not the easiest route, but I believe it has many advantages
over the other methods I've seen. Ghrist has a consistent way of explaining
the material. And the lectures are a real joy. Colorful formula's dance across
the screen with helpful animations. There are enough good examples. The fora
are active and helpful. In most topics there are a few interesting bonus
material video's which make the course less dry. It does take some self
discipline to actually learn all the material by heart and to do enough
homework to prepare for the next quiz. Very enjoyable.

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**5**reviews**5**completed

6 years, 1 month ago

This is the best calculus course I have done. I watched MIT OCW's single
variable calculus videos. I would say, prof Ghrist does it better. The course
starts from magic Euler's formula, expressing trigonometry functions using
Taylor series, it got my attention firmly from the very beginning. Then it
goes through the normal path. One thing particular in the course is it
provides so many good applications from different area: physics, finance,
medical, even zombies( prof is funny ). It shows how knowledgable the prof is.
I have to say, it's a difficult course, although I finished it, I don't feel I
understood everything. If Prof Ghrist is doing a next level course, I'll take
it for sure.

**4**reviews**4**completed

6 years, 2 months ago

Great and challenging course. Interesting material presented in stunning
colorful and animated videos.

**1**review**0**completed

6 years, 6 months ago

As person who has taken a lot of MOOCs and peeked into even more, I must say
that this is an absolutely unique course. It is extremely demanding (in fact,
I end up spending 10-12 hours a week), but with hard work it can get you from
"I sort of remember some calculus concepts" to a mathematical prodigy, seeing
math all around you (including your dreams!). So if you're in a sweet spot in
terms of your level of calculus, you can gain A LOT. Note of caution: do not
enroll in this course if you're not prepared for spending at least 10 hours a
week. Do not enroll in this course, if you remember nothing of integrals,
differentials and limits, otherwise it will turn out to be terribly
frustrating. Even if you already know calculus quite good, you can take from
this course deep (and enriched with visual examples) understanding of many
concepts, and also learn a lot about applications of calculus. Every lecture
includes 'Core' homeworks, recom...
As person who has taken a lot of MOOCs and peeked into even more, I must say
that this is an absolutely unique course. It is extremely demanding (in fact,
I end up spending 10-12 hours a week), but with hard work it can get you from
"I sort of remember some calculus concepts" to a mathematical prodigy, seeing
math all around you (including your dreams!). So if you're in a sweet spot in
terms of your level of calculus, you can gain A LOT. Note of caution: do not
enroll in this course if you're not prepared for spending at least 10 hours a
week. Do not enroll in this course, if you remember nothing of integrals,
differentials and limits, otherwise it will turn out to be terribly
frustrating. Even if you already know calculus quite good, you can take from
this course deep (and enriched with visual examples) understanding of many
concepts, and also learn a lot about applications of calculus. Every lecture
includes 'Core' homeworks, recommended for everyone, and 'Challenge'
homeworks, suited for people with advanced knowledge (or perhaps for those
willing to spend couple of extra hours trying to tear apart advanced
concepts). As a separate note: Professor Ghrist (or prof/g for short) has
amazing skills at presenting material. Seriously, I bet he spends days to
prepare each 15 min lecture piece. As a result, they turn out to be densely
packed, highly comprehensible and very visual. Although I sometimes spend an
hour to get through 15 min lecture, I very rarely feel that I didn't
understand something from the lecture. His teaching is very clear. So I also
recommend this course to anybody aiming at creating a MOOC or just teaching
students. In my opinion, it is a great example of how it should be done.

**1**review**1**completed

6 years, 6 months ago

If you have an interest in Calculus, this is the best course available, not
only on the net, but probably also compared to most courses in universities.
(disclosure not that I've ever been to a university course, but this course
was better than any math class I've ever attended and that's no slight against
my math classes). Nonetheless it's not for those uninitiated in Calculus. It
also helps to be competent in high school level trigonometry, though not
necessary. It is a difficult course and the 10-12 hour recommendation a week
is a joke. If I did not browse the web every half an hour, it would take me
about 4 hours a day to finish to course. That's perhaps not what it takes to
pass it, if you want to barely pass you can put 10% of your effort to get more
than the passing 50% of the grade. With 100% being 8 hours a day. So I put
about 40% of conceivable effort. I still have a life. But putting in minimum
effort would be a waste cons...
If you have an interest in Calculus, this is the best course available, not
only on the net, but probably also compared to most courses in universities.
(disclosure not that I've ever been to a university course, but this course
was better than any math class I've ever attended and that's no slight against
my math classes). Nonetheless it's not for those uninitiated in Calculus. It
also helps to be competent in high school level trigonometry, though not
necessary. It is a difficult course and the 10-12 hour recommendation a week
is a joke. If I did not browse the web every half an hour, it would take me
about 4 hours a day to finish to course. That's perhaps not what it takes to
pass it, if you want to barely pass you can put 10% of your effort to get more
than the passing 50% of the grade. With 100% being 8 hours a day. So I put
about 40% of conceivable effort. I still have a life. But putting in minimum
effort would be a waste considering what the course has to offer. It is a joy
to watch the video lectures. Even if you don't really get what's going on it's
still fun to watch the excellent animations. With a discussion forum that
started out strong and is still retaining it's most involved students,
homework sets that has a range of questions for most difficulty levels and a
wiki that iterates over the content in the video lecture, with an enough time
investment you'll get there. Be warned it starts out with difficult material.
Hang in there and you'll get to differentiation and integration which is much
easier, especially since you might have encountered some of the material
elsewhere. Even if you are a master at single-variable calculus, there is
probably something the lectures have to teach you. Most importantly prof g
makes you feel cared for. That's no easy task in an MOOC. The TA staff is also
excellent. Most of the open questions in the forums will be answered by them.
I imagine that it'll be hard to sustain the same level of involvement from
prof g, even though it is an essential part of the course. So get it while
it's hot. Also you might encounter some very smart peers who will make short
work of even the most challenging problems. Gives you something to aspire to.
When you've done the course be sure to thank prof g and the TA.

**8**reviews**8**completed

6 years, 5 months ago

This course was probably one of the hardest things I've ever done in my life.
I could devote maybe a couple of hours to most other MOOCs, watching videos
and answering quizzes. This 13-week, 58-lecture (15 mins per lecture + some
bonus material + homework PER lecture) course required me to twist my brain
around almost every day, but Prof. Ghrist's snappy hand-drawn lectures (full
of easter eggs to boot) made the experience far less painful. Scoring 50% or
above is enough to pass the course, but that's not as easy as it sounds. And
yes, even in the "real" version of this class, the passing grade is 50%. The
approach to single-variable calculus is somewhat unorthodox. It assumes that
you've had some previous exposure to calculus (knowing how to compute basic
limits, derivatives and integrals, for example), and one of the very first
things you learn is Taylor expansion. Applications not just in computing areas
and volumes, but also in p...
This course was probably one of the hardest things I've ever done in my life.
I could devote maybe a couple of hours to most other MOOCs, watching videos
and answering quizzes. This 13-week, 58-lecture (15 mins per lecture + some
bonus material + homework PER lecture) course required me to twist my brain
around almost every day, but Prof. Ghrist's snappy hand-drawn lectures (full
of easter eggs to boot) made the experience far less painful. Scoring 50% or
above is enough to pass the course, but that's not as easy as it sounds. And
yes, even in the "real" version of this class, the passing grade is 50%. The
approach to single-variable calculus is somewhat unorthodox. It assumes that
you've had some previous exposure to calculus (knowing how to compute basic
limits, derivatives and integrals, for example), and one of the very first
things you learn is Taylor expansion. Applications not just in computing areas
and volumes, but also in physics, statistics and probability are discussed.
The professor also goes into discrete calculus towards the end. I felt a
little bit of pride inside when in another class we were discussing error
approximation, and the instructor said "we don't expect you to know error
analysis, because you need to know Taylor expansion for that." If you want to
know more about the scope of the material, you can visit the course wiki (open
to all) at http://calculus.seas.upenn.edu/ under the "Single Variable" tab.
Most importantly, Ghrist and his team didn't just dump a bunch of slick videos
and quizzes online and call it a day. In the last run, Prof. Ghrist himself
and his teaching assistant, Dr. Garcia-Raboso, were very active on the forums,
providing inputs to people's concerns and clarifications. Glitches and
typographical errors were quickly addressed by the course staff. Thus I really
was in a class, and not just in an automated system. It's hard to find
anything to criticize about the course. A few did not like the style of the
lecture videos and complained about the professor's voice/delivery or the
cartoonish feel, and others were uncomfortable with Taylor series being
introduced so early but its full implication being reserved for the very last
part of the course. Personally, I found this course one of the most fulfilling
things I've done - it really takes a lot of grit to survive. My estimate is
that only around 600-700 people took the final exam. It's an excellent
launchpad for other courses that require calculus as a prerequisite, and there
is no sacrifice in rigor and difficulty caused by the MOOC format whatsoever.

**7**reviews**4**completed

6 years, 5 months ago

I'm a software developer who took a first year calculus course 13 years ago
but can remember literally nothing about the content. The first week or two
was a real uphill battle as I struggled to cram the prerequisite knowledge
such as trig identities back into my brain, but things evened out after that.
I've taken some great MOOCs, but this is the first one I've taken where the
medium of the video lecture has truly elevated the quality of the delivery
beyond what is possible in a traditional lecture theatre. Professor Ghrist has
truly put his heart and soul into the production of the animated videos that
make up the lectures. They are clear, concise, charming and sometimes very
funny. Professor Ghrist and the TAs were very active and supportive in the
forums. This is also the only MOOC I've taken where the answers to the
assessments were posted, which was very helpful for our learning. This course
is unlikely to be of any use to me p...
I'm a software developer who took a first year calculus course 13 years ago
but can remember literally nothing about the content. The first week or two
was a real uphill battle as I struggled to cram the prerequisite knowledge
such as trig identities back into my brain, but things evened out after that.
I've taken some great MOOCs, but this is the first one I've taken where the
medium of the video lecture has truly elevated the quality of the delivery
beyond what is possible in a traditional lecture theatre. Professor Ghrist has
truly put his heart and soul into the production of the animated videos that
make up the lectures. They are clear, concise, charming and sometimes very
funny. Professor Ghrist and the TAs were very active and supportive in the
forums. This is also the only MOOC I've taken where the answers to the
assessments were posted, which was very helpful for our learning. This course
is unlikely to be of any use to me professionally, but it is the most
rewarding MOOC I have taken so I cannot regret it!

**9**reviews**7**completed

6 years, 5 months ago

I'll try to be brief, since others have talked in detail about the course in
their reviews. But in short, if you have some prior calculus experience and
you're looking for a refresher or to go a bit further, TAKE THIS CLASS! There
is no other calculus class like it, and there probably never will be. It is as
unique and fascinating as Prof Ghrist himself seems to be. Even if you've got
a good math background, I think you're sure to find some material you've never
seen before hiding somewhere in this course material. And the lectures are
worth auditing just to admire the wildly colored animations and humorous
references to nerd culture. Check it out!

**1**review**1**completed

6 years, 6 months ago

I have a good math background, albeit rusted. Enjoyed this course very much.
High quality, conceptual, clear, and interesting structure, presentation, and
topic coverage. One of the best on-line courses I have ever taken (a couple of
dozens).

**1**review**1**completed

6 years, 5 months ago

Incredible course on single-variable Calculus but not for the faint of heart.
Presentation is both entertaining and enlightening. It's as if professor
Ghrist has this extraordinary ability to hypnotize the audience into
understanding difficult concepts as simple and straightforward. Awesome
artworks. Forum, homework, wiki and the level of student participation are all
very helpful. Can't wait for the multi-variable calculus follow-up.

**1**review**1**completed

6 years, 5 months ago

This has been by far the best math class I ever attended. Prof. Ghrist shows
outstanding skills in explaining complex things in an easy-to-understand way.
The provided documentation, slides, and video lectures are really awesome. I
thought intensively about it, but I really can't find anything I dislike.

**3**reviews**3**completed

6 years, 5 months ago

This superb course is delightfully brain-rackingly difficult in all the best
senses of the word. The presentation of the material is outstanding. Professor
Ghrist "speaks math", that is, conveys complex mathematical notions in mere
words in a manner more fastidiously clear than anyone I've ever heard. In
addition, he provides an original and entertaining visual presentation of the
material for more impact. There is a concise calculus wiki which basically
functions as a helpful textbook companion. But getting to the part about
difficult... First off, the range of material is vast. In addition to the more
standard material on differentiation and integration, Taylor series, BigO,
discrete calculus and extensive applications of calculus are covered. There is
bonus material for the more advanced as well as bonus homework for those up to
the task. Fortunately, it is only necessary to learn the "core" material to
pass the course. The homewo...
This superb course is delightfully brain-rackingly difficult in all the best
senses of the word. The presentation of the material is outstanding. Professor
Ghrist "speaks math", that is, conveys complex mathematical notions in mere
words in a manner more fastidiously clear than anyone I've ever heard. In
addition, he provides an original and entertaining visual presentation of the
material for more impact. There is a concise calculus wiki which basically
functions as a helpful textbook companion. But getting to the part about
difficult... First off, the range of material is vast. In addition to the more
standard material on differentiation and integration, Taylor series, BigO,
discrete calculus and extensive applications of calculus are covered. There is
bonus material for the more advanced as well as bonus homework for those up to
the task. Fortunately, it is only necessary to learn the "core" material to
pass the course. The homework is not graded but for each quiz one has only a
single submission. One gets credit the first attempt or not at all. After
about 14 weeks, one takes a final exam worth 80% of the grade. Again, there is
one shot to get it right. All tests are to be taken without notes,
calculators, Wolfram-Alpha or any other support. I guesstimate that the
attrition rate of the class was around 80% (only 20% finished) and that the
pass rate was around 10% of those who started. The official figures were not
released. I do not recommend this class for those with little prior exposure
to calculus. I highly recommend it to those with the motivation, time and
fortitude to learn a whole lot of math at the feet of one of the true masters
of the craft.

**25**reviews**25**completed

6 years, 5 months ago

I was taking Nathan Kutz's Data Analysis class and I was struggling with some
of the Maths in the course so I signed up for Robert Ghrist's Calculus class.
I was bowled over by the high level of creativity matched by an amazing
attention to detail Robert took to teaching this traditionally dry topic. One
suggestion is to add a coding element to the assignments. I took Philip
Klein's Linear Algebra class and the programming aspect of the course actually
brought the mathematics to life. I realise this would make the calculus course
extremely long but it could be offered as a part 1, part 2 format.

**1**review**1**completed

6 years, 6 months ago

This is a very challenging course with a lot of interesting material, plus the
lectures are lively and colorful, math had never looked so good.

**10**reviews**10**completed

6 years, 10 months ago

This is a great course. I entered this course only knowing how to integrate
and differentiate polynomials, and now I know so much more about calculus.
This course is heavily based on Taylor series. Topics include limits,
differentials, integrals, and their applications like newton's method,
ordinary differential equations, averages, probability, and many more. The
course ends with "discrete calculus", the analogue of calculus in the discrete
world. The hand-drawn animated videos are excellent. The homework sets, though
aren't graded, are challenging and essential to really understand the subject
and clear up some misunderstanding that you may have if you only watch the
lectures. There are also graded quizzes and timed final exam. This course
isn't for people who haven't seen calculus before (as stated in
prerequisites), or want a rigorous treatment of calculus. But if you know how
to integrate or differentiate simple functions, or ju...
This is a great course. I entered this course only knowing how to integrate
and differentiate polynomials, and now I know so much more about calculus.
This course is heavily based on Taylor series. Topics include limits,
differentials, integrals, and their applications like newton's method,
ordinary differential equations, averages, probability, and many more. The
course ends with "discrete calculus", the analogue of calculus in the discrete
world. The hand-drawn animated videos are excellent. The homework sets, though
aren't graded, are challenging and essential to really understand the subject
and clear up some misunderstanding that you may have if you only watch the
lectures. There are also graded quizzes and timed final exam. This course
isn't for people who haven't seen calculus before (as stated in
prerequisites), or want a rigorous treatment of calculus. But if you know how
to integrate or differentiate simple functions, or just want to brush up your
calculus skill, you have to take this course.

**3**reviews**3**completed

6 years, 8 months ago

This was a fantastic calculus course. PROs: Beautifully designed videos with
excellent non-trivial examples, a huge array of homework problems to test
understanding, and amazing levels of interest and participation in the
discussion forums by both students, TAs, and the professor himself. CONS:
Almost nothing I can think of; except possibly adding more written content to
the Course Wiki in order to help solidify student's understanding of the
concepts, but this was such a minor issue that I expect they'lI have it done
in the next iteration (they had already started adding content to the wiki in
the 1st iteration). Also some people may not have the necessary prerequisites
(i.e. some previous calculus experience) to handle the speed of this course,
but I don't consider this a con. Another potential con, which again depends on
a student's prerequisites, is that the first 3 week unit is all about taylor
series, which is a quite advanced ...
This was a fantastic calculus course. PROs: Beautifully designed videos with
excellent non-trivial examples, a huge array of homework problems to test
understanding, and amazing levels of interest and participation in the
discussion forums by both students, TAs, and the professor himself. CONS:
Almost nothing I can think of; except possibly adding more written content to
the Course Wiki in order to help solidify student's understanding of the
concepts, but this was such a minor issue that I expect they'lI have it done
in the next iteration (they had already started adding content to the wiki in
the 1st iteration). Also some people may not have the necessary prerequisites
(i.e. some previous calculus experience) to handle the speed of this course,
but I don't consider this a con. Another potential con, which again depends on
a student's prerequisites, is that the first 3 week unit is all about taylor
series, which is a quite advanced starting point, meaning that most people
will not feel like they're lightly easing into the course as it so often
happens in other courses. However the good news is that the next two units
which span about a month, are a lot easier and tend to move slower so you do
get a bit of a break for a couple of weeks. For my background, I had studied
calculus in both high school as well as in my engineering classes in college,
and after 10 years I wanted to get a refresher. I have to say the level of
quality and effort put in by the instructor and TAs in this course far
surpasses what I was exposed to at a prestigious ivy university. This is
likely one of the best video presentations in all of 10-15 MOOCs I've taken in
the last year. One word of warning: Most of the 15 minute videos move at hyper
speed, so you will likely find yourself pausing and replaying certain pieces
of them to cement your grasp of all the calculations. Still this is not a
problem; it just shows how efficient the instructor is in his ability to cover
approximately 1 hour of typical class lecture material in the span of 15-20
minutes with an amazing degree of clarity. Also for this reason, it is highly
recommended that someone with no calculus background take a different calculus
course and come back to this one when they're ready for the speed of this
material. For example, the first 3 week unit is on series, and it's one of the
most difficult units simply because this material is typically not done until
the mid to end of a one year introductory calculus course.

**2**reviews**2**completed

6 years, 9 months ago

Amazing course. Lots of extra stuff. Good intro for the following courses in
math. Lots of problems to solve for practice. Lecture quality is outstanding,
the best in Coursera so far, in my opinion.

**1**review**1**completed

6 years, 10 months ago

This course is an absolute gem. I took this course before my age, and it was
fantastic. Precise instructions from Prof Ghrist, excellent support from the
TA's and a fantastic community, all put together gave a course of this
quality. I have lurked through as well as taken quite a few MOOCs, but I can
certainly call this one as the best. The reason is that this course is not
easy! It takes time that is to say. So if you expect to master this course,
then you need to give time, and that is a challenge because we all have lives
and MOOcs aren't our primary activity. I took the proctored exam for this
coursera well, another fantastic experience... Wishing you the best!

**1**review**1**completed

6 years, 10 months ago

This is an amazing class! You will love the visuals complete with animations!
However, this isn't a class for novices. You need some exposure to calculus
already. In the first week there's a diagnostic test you can take to see if
you're ready for the class. You should be okay if you remember some of your
calculus from high school. This class gives a great introduction to calculus
of a single variable by using Taylor series as the underlying model. There are
some great applications covered, such as areas, volumes, arc lengths, discrete
summation, work (in the physics sense), numerical integration and more. This
course will eat up most of your time, so trying to do this concurrently with
other courses will be difficult. There are lots of homework practice
assignments available (that don't count towards a grade) and these take time
to do. You don't have to do all the questions, but you'll find it worth your
time to attempt as many as po...
This is an amazing class! You will love the visuals complete with animations!
However, this isn't a class for novices. You need some exposure to calculus
already. In the first week there's a diagnostic test you can take to see if
you're ready for the class. You should be okay if you remember some of your
calculus from high school. This class gives a great introduction to calculus
of a single variable by using Taylor series as the underlying model. There are
some great applications covered, such as areas, volumes, arc lengths, discrete
summation, work (in the physics sense), numerical integration and more. This
course will eat up most of your time, so trying to do this concurrently with
other courses will be difficult. There are lots of homework practice
assignments available (that don't count towards a grade) and these take time
to do. You don't have to do all the questions, but you'll find it worth your
time to attempt as many as possible.

Student

10/10 starsTaking Now

6 years, 8 months ago

This is the best course that I've taken on Coursera thus far (the other two
were Andrew Ng's Machine Learning, which is also very good, and Bill Howe's
Data Science, which is not so good). It is clear that all of Professor
Ghrist's lectures have been well thought out and well planned way in advance.
Unlike some other classes where the slides/lectures often contain mistakes,
these slides have virtually no mistakes. The animations are great for helping
students visualize the concepts and it's clear that a lot of work went into
making this class compatible for the web (as opposed to simply recording an
in-class lecture). The professor explains things well and he is very active on
the forums. This last point is important. He's more active on the forums than
any of the other professors I've seen. He frequently responds to
questions/comments, and encourages students having difficulty to hang in
there. There's nothing bad I can say about th...
This is the best course that I've taken on Coursera thus far (the other two
were Andrew Ng's Machine Learning, which is also very good, and Bill Howe's
Data Science, which is not so good). It is clear that all of Professor
Ghrist's lectures have been well thought out and well planned way in advance.
Unlike some other classes where the slides/lectures often contain mistakes,
these slides have virtually no mistakes. The animations are great for helping
students visualize the concepts and it's clear that a lot of work went into
making this class compatible for the web (as opposed to simply recording an
in-class lecture). The professor explains things well and he is very active on
the forums. This last point is important. He's more active on the forums than
any of the other professors I've seen. He frequently responds to
questions/comments, and encourages students having difficulty to hang in
there. There's nothing bad I can say about this class. I definitely recommend
it.

Student

10/10 starsCompleted

6 years, 8 months ago

A very good course for advanced calculus. Prof. Ghrist gives to the student
the intuition it needs to think about a difficult part of mathematics,
calculus. I highly recommend this course for anyone who tries to see the
beauty of mathematics one the base concepts are understood.

**2**reviews**1**completed

6 years, 8 months ago

This course is outstanding and very awesome. Prof Robert Ghrist have done his
full effort with making the subject colorful and better to grab the knowledge.
I had studied Calculus earlier and intended to refresh my knowledge. What i
felt was i was missing the core concepts and how even small thing plays so
vital role. Prof has made the course very entertaining. I request other to
join this course who find calculus difficult.

**10**reviews**8**completed

6 years, 8 months ago

I thought that getting 97% in Ohio State's "Calculus One" MOOC would mean I
was well-prepared for this class. I was wrong. The lecture videos are
beautiful, and watching the first two weeks, I thought I understood them, but
the concepts turned out to be too difficult for me to apply on the homework
and the first quiz. I don't know if I've reached my limit of mathematical
understanding, or if this class just did not suit my learning style.

**3**reviews**3**completed

6 years, 9 months ago

Fantastic course!!! All lecture videos are hand-drawn animation by dedicated
Prof. Ghrist himself. Explanation of concept is clear and there are not-for-
grade homework to consolidate learning. Professor and TAs often answer
questions in forum. I have to admit this is not a easy course and it requires
consistent effort and some basic foundation of calculus (like what is
differentiation and integration). The course has a novel approach towards
calculus teaching and shows application across different subjects like
physics, statistics and economic.