RS
A truly well-built and detailed course. I already knew a few of the concepts taught in this course, however, I never really understood them. This course was filled with many 'Aha!' moments for me.

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 second part--part two of five--we cover derivatives, differentiation rules, linearization, higher derivatives, optimization, differentials, and differentiation operators.

RS
A truly well-built and detailed course. I already knew a few of the concepts taught in this course, however, I never really understood them. This course was filled with many 'Aha!' moments for me.
MS
Very nice course. It served as a good refresher, and was not hard for me. The material is presented in a different way than a typical college course.
JS
I learned a lot from this course.With animation to explain the formula,makes it easily to be understood.The learning of calculus laid the foundation for my future study.Thanks,professor.
HM
It's an awesome lecture. I strongly recommend to take the course in order to improve your understanding of Calculus, especially differentiation.
NG
This is the best single variable calculus course. I should have found this course when I was a first-year student at the college.
MB
Wikipedia, Lang's calculus textbook, and the course notes from the internet archive were my constant companions. The homeworks certainly got me to study!
CC
This course has an appropriate amount of rigor for an intermediate math course. I was pleasantly surprised at how much I have learned.
JB
So much fun, and hits all sorts of things I'd always wanted to know. The homework took me a long time, so I didn't get to watch all the bonus lectures, but the ones I did were really interesting.
SS
I like how this course was shorter than Part 1. However, some of the quizzes were challenging & solutions were incorrect, as always.
UR
This module is great. The thing I like most is how professor implements the theory into Physics and other realistic models. Ive also begun liking statistics a little bit. Now, part 3.
WG
Not a class for someone with no calculus experience. However, if you have some calculus knowledge it will deepen your knowledge more than any other MOOC I have found. Truly a great course.
RR
This course is highly interactive. You'll never experience boredom. This is recommendable to learners of standard level. Remember you should have at least studied calculus at high school.
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Good in giving though-invoking concept and visualization of differentiation, chain rule, relative rate of change, as well as Newton's linear approximation.
These corresponding demo example are illustrative and help us understand the main idea and underlying metaphor of differential operator "D" and symbol df/dx.
In addition, the technique of domain change in differentiation by using exponent and logarithm and implicit differentiation is really powerful and useful.
Not a class for someone with no calculus experience. However, if you have some calculus knowledge it will deepen your knowledge more than any other MOOC I have found. Truly a great course.
So much fun, and hits all sorts of things I'd always wanted to know. The homework took me a long time, so I didn't get to watch all the bonus lectures, but the ones I did were really interesting.
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.
After completing part 1, I headed for this second part of the 5 part series. Yes, it is a hard course but if you are persistent and keep at it, things will eventually make sense and you'll have some very good tools at your disposal to solve complex problem. Massive Thanks to Prof G and Team for this course.
These calculus courses by Prof Ghrist are absolutely great. I'm a high school math teacher and tutor, and these courses provide a ton of interesting insights that I can pass onto students, even though they are not be studying calculus yet.
Excellent Course
A new look at the concepts of Limits, Taylor and Derivatives that expand your mathematical thinking and Flourishes the math another time. This is however not confusing though but more of a talent bonus.
This course is highly interactive. You'll never experience boredom. This is recommendable to learners of standard level. Remember you should have at least studied calculus at high school.
Wikipedia, Lang's calculus textbook, and the course notes from the internet archive were my constant companions. The homeworks certainly got me to study!
Great course. Even if you know differenetiation you will still find some useful information you didn't know about it. Let's go to integration ;)
This course has an appropriate amount of rigor for an intermediate math course. I was pleasantly surprised at how much I have learned.
Great for reviewing concepts! Techniques for evaluating complex limits and the Taylor series have been explained very well.
Excelente curso donde aprendí el cálculo de variable real, lo recomiendo mucho ya que se aprende bastante acerca del tema
Highly application oriented course. Better to have strong grounding in theory and principles before starting.
It is a very informative course!
The course is great although deeper explanations and more examples are needed.
This is an extremely useful and informative course into which Dr. Ghrist has poured an enormous amount of energy, work, knowledge, and forethought. He is an exceptionally talented polyglot of both Mathematics and English, but I could have used additional explanations as to how to tackle the problems. I would have preferred it if solutions would have been provided for the quizzes and challenge problems. I believe that one learns calculus best this way, but Dr. Ghrist has become another excellent mentor that I have been fortunate enough to have in my quest to understand calculus.
As with part I, a real benefit of this course is its quality practice problems. They require you to work. I usually spent at least 30 minutes per problem (sometimes hours at the extreme), so you end up accumulating a lot of practice, and it certainly pays. I haven't previously put much effort in math, and as a result I would often make errors in my derivations. Not only does this course expose you to a lot of methods and knowledge, but the sheer amount of practice has made me inherently less prone to errors. Which makes math a LOT more fun.
Problems are really interesting. These courses helped me to understand basic approaches and methodologies of single-variable calculus. I got a lot of satisfaction passing them and solving the problems especially challenging problems. I think these lectures fit purposes of people who aim to generalize and structure their knowledge of single-variable calculus. Thank you very much! I really hope to find similar courses on other fields of mathematics (multivariable calc, linear and abstract algebra)
Smart way of teaching, giving you the chance to learn new things with a very interactive way, enlarging your brain and synapses fire in it.
The core home work is the best practice to what you have learnt in the lectures and do not be discouraged solving the challenging H.W., keep going and "think outside the box.", you will learn a lot.
Thanks Prof. Ghrist, you are awesome.