Two questions about general math

[flamengo]

Is it true that if you have a good understanding of proof based math courses( like Real Analysis), courses based in computations( like Calculus) become relatively trivial ? And I have another doubt. Do I need to know Real Analysis to formulate Calculus problems and exercises ? Or, is a rigorous Calculus book enough for this finality ?

 

[jedishrfu]

The usual sequence of courses in the US are Calculus 1,2,3 and then a year later Real Analysis so that says that solving Calculus problems doesn't require RA.

 

[flamengo]

My question is not about solving Calculus problems. It's about formulating(creating) Calculus problems.

 

[S.G. Janssens]

s it true that if you have a good understanding of proof based math courses( like Real Analysis), courses based in computations( like Calculus) become relatively trivial ?

No. How would you prove that your computations are correct? Good courses about computation are more than cookbook classes.

Do I need to know Real Analysis to formulate Calculus problems and exercises ? Or, is a rigorous Calculus book enough for this finality ?

No, I don't think so, not for the "drill" exercises in any case. However, the more you are "above" the subject, the better. Also, I could certainly think of more advanced calculus problems that require an understanding of real analysis for their proper design.