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Free study guides and discussions about various topics in Mathematics. Thanks for stopping by!

Calculus Thinking: A definition I use over and over with my students

Calculus Thinking

A problem-solving state of mind that we assume when a problem looks frightening at first blush: We try to rephrase all or part of the problem in ways that are easier to recognize, that are more tractable, easier to solve. This could - and usually does - involve terrifying algebra (or trig, or ...), but! It will be worth it. The intuition and elegance that we show off in this process is the essence of Calculus Thinking.

Applying more than one integration technique to solve a single integral

FOILing and factoring - not just for polynomials!