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Calculus, Better Explained: A Guide To Developing Lasting Intuition

2015 | 86 Pages | ISBN: 1470070707 | PDF | 6 MB

Grasp Calculus Concepts In Minutes, Not Months
This is the calculus primer I wish I had in school.
Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking.

Frustrated With Abstract, Mechanical Lessons?

I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition.

The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different:

It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes.
Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago.
It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns.
It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture.

The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case).