Explore >> Select a destination
|
You are here 
|
billwadge.com | ||
| | | | |
mathscholar.org
|
|
| | | | | [AI summary] The text presents a detailed, self-contained proof of the Fundamental Theorem of Calculus (FTC) using basic principles of calculus and real analysis. It breaks the proof into two parts: Part 1 establishes that the integral of a continuous function defines a differentiable function whose derivative is the original function, and Part 2 shows that the definite integral of a continuous function can be computed as the difference of an antiderivative evaluated at the endpoints. The proof relies on lemmas about continuity, differentiability, and the properties of integrals, avoiding advanced techniques. The text is structured to provide a clear, step-by-step derivation of the FTC for readers familiar with calculus fundamentals. | |
| | | | |
micromath.wordpress.com
|
|
| | | | | Continuing the theme of alternative approaches to teaching calculus, I take the liberty of posting a letter sent by Donald Knuth to to the Notices of the American Mathematical Society in March, 1998 (TeX file). Professor Anthony W. Knapp P O Box 333 East Setauket, NY 11733 Dear editor, I am pleased to see so... | |
| | | | |
awwalker.com
|
|
| | | | | For many calculus students, Riemann sums are those annoying things that show up in the derivation of the arc length formula. In truth, these handy sums have done so much more. In this post, I'll give some examples of Riemann sums dating from before the birth of calculus and some applications of Riemann sums that... | |
| | | | |
www.jeremykun.com
|
|
| | | When addressing the question of what it means for an algorithm to learn, one can imagine many different models, and there are quite a few. This invariably raises the question of which models are "the same" and which are "different," along with a precise description of how we're comparing models. We've seen one learning model so far, called Probably Approximately Correct (PAC), which espouses the following answer to the learning question: | ||
