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Pre-calculus is hard because it is very algebra intensive but forces you to also incorporate your geometry and trigonometry to solve complex problems. Not only this, but precalculus is designed to expose you to a few of the oddities in advanced mathmatics (holes, end behavior etc).
Calculus is then even more difficult because it differs so greatly from pre-calculus. rather than definite answers and standard functions, you now move into "theoretical math," where many problems either have very complex answers or no answer at all, and very often, you are required to prove that your answers are logical using mathematical therums. however without your strong base from pre-calculus, trying to learn these new concepts would be almost completely impossible.
My advice you anyone struggling in either calculus or pre-calculus would be to keep at it. study hard and practice as much as possible. Good luck!
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How hard is physics if you are excellent at calculus and linear algebra?
That should probably be easy. Try it out to be sure.
How do you treat dental calculus?
Brushing and flossing can remove plaque which causes calculus to form. But once calculus does form, it is too hard and firmly attached to be removed with a toothbrush. dental visits are necessary so that calculus build up can be professionally removed with sharp instruments. Source: i am a dentist
Can you take precalculus and algebra 2 trig at the same time?
No, you can't. Although similar in concepts, Pre-Calculus is more advanced than Algebra 2. Algebra 2 is taken between Algebra 1 and Geometry or after Geometry and before Pre-Calculus. The reason that you can't take both at the same time is because of the curriculum. Pre-Calculus does not spend nearly as much time on linear topics (linear equations, linear programming, etc.) as Algebra 2 does. Pre-Calculus also almost always is 2 courses in one: Pre-Calculus and Trigonometry. Algebra 2 has very little, if any, trig. Topics that they have in common are quadratics equations/functions, polynomial equations/functions, rational functions, exponential & logarithmic functions (sometimes these are not covered in Algebra 2), possibly conic sections in Algebra 2, definitely in Pre-Calculus, factoring, and probability/sequences/series/statistics. In addition to trigonometry, pre-calculus also covers polar and parametric topics (these will NEVER NEVER NEVER be seen in Algebra 2) and an introduction to limits. So, you must take Algebra 2 before pre-calculus. If you want to take 2 math courses in 1 year, try algebra 1 and geometry (not very common), algebra 2 and geometry (somewhat common), and some schools allow honors students with a solid A in Algebra 2 (assuming you took Algebra 2 before Geometry, this differs between schools) allow you to take geometry and pre-calculus in the same year. The study of proofs is not a major topic in pre-calculus, and proofs make up a majority of geometry.
Which is harder calculus 1 or differential and integral calculus?
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
What is the importance of studying calculus?
Calculus was invented to solve physics problems, so the importance of studying calculus is to solve physics problems.
