calculus is a barrier that filters an alarming number of students out of education pipelines in science and engineering. Before we find the answers to how hard is calculus, let’s look at its concepts.
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Artemov's logic of proofs LP is a complete calculus of propositions and proofs, which is now becoming a foundation for the evidence-based approach to reasoning about knowledge. Additional atoms in LP have form t : F, read as " t is a proof of F" (or, more generally, as " t is ...
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But studying exactly how it makes you smart is a little tricky, because: Your brain is hard to get to -- it's encased in your skull. Tools for looking at the brain, such as magnetic resonance imaging (MRI) machines, can require a person to be partially or completely still. This can...
Calculus. Calculus gets a double bonus from this interpretation. First, the binomial theorem makes working with equations like x^n much easier. Second, one view of calculus is an “expansion” of multiplication. Today we got practice thinking that multiplication means a lot more than “repeated ...
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Finding the distance between two points on a solid isn't too hard as long as we're familiar with right triangles and the Pythagorean Theorem. Right triangles are triangles that contain a right angle (90-degree angle). The two shorter sides of a right triangle are called the legs of the ...