Mixed

Do you learn proofs in calculus?

Do you learn proofs in calculus?

College calculus textbooks typically have the proofs Dr. Joyce mentioned. You will probably also run into them during class, and calculus homework will sometimes require proofs (or at least they do where I am.)

What grade do you learn proofs?

It’s somewhat standard to get proofs in h.s. geometry (9th or 10th grade). However, 2 years ago I tutored a kid in this subject and his teacher never had them do proofs.

What math class do you do proofs?

In my experience, in the US proofs are introduced in a class called “Discrete Mathematics”. That class starts out with formal logic and goes through a bunch of proof techniques (direct, contrapositive, contradiction, induction, maybe more).

How do you know if a calculus course is proof-based?

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Often, proof-based courses which involve multivariate calculus will be called things like “Analysis”, “Theory of probability”, or “Algebraic geometry”. If you’ve taken the course and it was proof-based, you would know that it was (and the fact that you are asking suggests that, if you have taken it, it wasn’t).

Is calculus really that hard?

Ultimately though, calculus is a bogeyman of sorts. It’s really not the devil it’s made out to be. For someone who did well in pre-calculus, calculus would just be the next progression, and it wouldn’t seem like some huge jump up in difficulty. The real abrupt change in mathematics is from computation to proofs.

How do I know if a course is a proof-based course?

On a case-by-case basis, the course syllabus will make it clear if it’s a proof-based course, and the syllabus is likely to contain references to one of more of proofs, theory, measure spaces, etc. Often, proof-based courses which involve multivariate calculus will be called things like “Analysis”, “Theory

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Why do so many people fail calculus courses?

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.