algebra precalculus - Interesting calculus problems of medium ...
I would like to know sources, and examples of good "challenge" problems for students who have studied pre-calculus and some calculus. (differentiation and the very basics of integration.) Topics could be related to things such as: Taylor Series. Product Rule, Quotient Rule, Chain Rule. Simple limits. Delta Epsilon Proofs.
Best practice book for calculus - Mathematics Stack Exchange
Jeel Shah. 9,422 21 79 125. 1. I very much doubt you will find a few answers, it depends too much on material to cover and personal preferences. In any case, look over ocw.mit.edu, there you'll find much stuff like homework and exams with solutions.
What books are recommended for learning calculus on my own?
2015年5月27日 · In the spirit of your question, however, Project Gutenberg has a number of gratis (and mostly libre) math books, including the second edition (1914) of Calculus Made Easy by Sylvanus Thompson and the third edition (1921) of A Course of …
soft question - Why is calculus considered to be difficult?
2016年9月14日 · 18. Part of it is that a lot of adults now never took calculus, because calculus wasn't as commonly offered in high schools as it is now. In their era, it was a college level subject. So they see it as super high level. People fail in calculus courses because it is at a slightly higher conceptual level than pre-calculus and (high school) algebra.
Book Recommendation - Hard problems for Multivariable Calculus …
$\begingroup$ I'm not sure exactly what is in "Calc III" but if the problems in Schuam's outlines are too easy and you want to learn about differentials, then you can safely move on from "Multivariable calculus" to Calculus/Analysis on manifolds. Munkre's has a great book in this area, it is a relatively gentle introduction.
Suggestions for very challenging vector calculus problems
2015年11月6日 · 1. I'm trying to find some inspiration for hard vector calculus problems that would be suitable for university physics students encountering the topic for the first time. Areas to cover are vector fields, multiple integration, line and surface integrals, and partial differential equations. Any suggestions or sources are welcome.
Rate Of Change Calculus Problem - Mathematics Stack Exchange
2018年10月25日 · 0. Let v (h) be the volume of that shape at height of h. That is a formula you'll need to create. You'll also have to calculate dv/dh. Rate of increase of volume = dv/dh × dh/dt. Solve for dh/dt knowing the volume increases. 2 cubic meters/sec. Finally set …
Multivariable calculus: hard problems with solutions
10. I'm practicing for my multivariable calculus exam and I'm having some trouble mostly because I have no way of knowing if my solutions are correct or not. For example, a typical problem goes like this: Let f: R2 R f: R 2 R defined by: Study f f with respect to continuity on its domain. Study f f with respect to differentiability on its domain.
calculus - Tough integrals that can be easily beaten by using …
2016年6月10日 · Connect and share knowledge within a single location that is structured and easy to search. Learn more about Teams Tough integrals that can be easily beaten by using simple techniques
calculus - How to master integration and differentiation?
1. One of the best ways to improve on differentiation and integration is to do tons of problems. It is very important to focus on differentiation before you start integration. A strong understanding of differentiation makes integration more natural. I recommend looking at …