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Since this is a study place, I shall ask this question here.
If I plan to be an econ and math major, which calculus should I choose? Note in mind that I love math intensely but I am not a math genius nor do I have 100 hours a week to practice REALLY hard math.
Choice 1
Calculus 3
- Basic learning of Taylor and MacLaurin Rule, the different types of Convergence Test, Partial Fraction Intergral, and something along that line.
- Less proving and more solving. Example of a question will be:
Does f(x) = x^2 converge or does it diverge? If it converge, what does it converge to?
- Test will cover about 20% proving and 80% solution that can easily be mastered by learning the right formula
Choice 2
Honors Calculus 2
- Intense learning of trigonometry, log, integral, planetary motion, and other similar topics
- All proving. Example of question will be:
Prove that sin(x+ pi/2) = cos x
- Test will cover about 90% proofs and 10% definition. Proofs have to be understood (or memorized) and every questions deal with different proofs.
I have prior knowledge of honors calculus class through my Honors Calculus 1 class. I did not do exceptionally well. Things that I had to prove are something like this:
Prove that irrational number is not of the same cardinality as the natural number.
Prove that the intersection of a close set is a close set
Prove that differentiability implies continuity.
So people, if you were me, which would you pick?
If I plan to be an econ and math major, which calculus should I choose? Note in mind that I love math intensely but I am not a math genius nor do I have 100 hours a week to practice REALLY hard math.
Choice 1
Calculus 3
- Basic learning of Taylor and MacLaurin Rule, the different types of Convergence Test, Partial Fraction Intergral, and something along that line.
- Less proving and more solving. Example of a question will be:
Does f(x) = x^2 converge or does it diverge? If it converge, what does it converge to?
- Test will cover about 20% proving and 80% solution that can easily be mastered by learning the right formula
Choice 2
Honors Calculus 2
- Intense learning of trigonometry, log, integral, planetary motion, and other similar topics
- All proving. Example of question will be:
Prove that sin(x+ pi/2) = cos x
- Test will cover about 90% proofs and 10% definition. Proofs have to be understood (or memorized) and every questions deal with different proofs.
I have prior knowledge of honors calculus class through my Honors Calculus 1 class. I did not do exceptionally well. Things that I had to prove are something like this:
Prove that irrational number is not of the same cardinality as the natural number.
Prove that the intersection of a close set is a close set
Prove that differentiability implies continuity.
So people, if you were me, which would you pick?