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Jurrasic
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Just wondering what you find harder? Trig or Calculus?
jtbell said:Define "harder."
mathwonk said:calculus involves the concepts of derivatives and integrals of functions. trig functions are one class of functions. so trig is more the study of one class of examples and calculus is an idea.
in practice one applies the idea behind calculus to examples like those found in trig.
thus if you study calculus purely abstractly, it might seem easier than trig, but if you study the examples of calculus, then trig will be a necessary prerequisite to doing calculus in many cases of practical interest.
I myself learned advanced calculus of banach spaces a la loomis and sternberg before learning trig. a kind of goofy progression. i could prove the graph of a function of bounded variation had measure zero before i learned to integrate tan(x).
i do not recommend this order of topics. in general, walk first, then run.
but one could learn first the calculus of polynomial functions, before knowing trig.
The question is due to - for some people trig seems to be much harder than calculus? How daunting. Since most, if not all schools teach trig before calculus?PCSL said:And also why don't you tell us why you have this question? It would help to have some context.
edit: I totally agree with what Angry Citizen said.
BloodyFrozen said:Very nice:)
Anyways I don't like Trig because many teachers require memorization (atleast at my high schools and no proofs, not that it's terribly hard to prove though).
Jurrasic said:Just wondering what you find harder? Trig or Calculus?
chiro said:The rigorous study of calculus can get pretty tough. If you are talking about the "computational" calculus then that is a lot easier though.
Trigonometry is the study of triangles and their properties, while Calculus is the study of change and motion. Trigonometry is used to solve problems involving angles and sides of triangles, while Calculus is used to solve problems involving rates of change and optimization.
This is subjective and depends on the individual's strengths and interests. Some people may find Trigonometry more challenging because it involves memorization of formulas and solving complex equations, while others may find Calculus more difficult because it involves abstract concepts and requires a strong foundation in algebra.
Yes, Trigonometry is a fundamental part of Calculus. Many concepts in Calculus, such as derivatives and integrals, involve trigonometric functions. It is recommended to have a strong understanding of Trigonometry before delving into Calculus.
It is not recommended to skip Trigonometry before learning Calculus. Trigonometric functions and identities are necessary for understanding and solving problems in Calculus. Skipping Trigonometry may lead to difficulties and gaps in understanding the concepts of Calculus.
Yes, it is possible to learn Trigonometry and Calculus simultaneously. In fact, many concepts in Trigonometry and Calculus are interconnected. Learning them together may help in reinforcing the understanding of both subjects. However, it is important to have a strong foundation in Trigonometry before moving on to more complex concepts in Calculus.