Difference between Pre-Calculus and Calculus?

In summary, Pre-Calculus is a course that prepares students for the study of Calculus by covering topics such as Algebra, Trigonometry, binomial theorem, probability, and limits. While Pre-Calculus may include some of the same topics as Calculus, it primarily focuses on building a strong foundation for the study of Calculus.
  • #1
MarcAlexander
45
1
What is the difference between Pre-Calculus and Calculus? Is Pre a more broken down version of Calculus or is it compulsory to learn it before Calculus?

What I'm saying is, what does Pre-Calculus consist of compared to Calculus?
 
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  • #2
I think pre-calc has limits, binomial theorem, perms + combs, exponential growth, polar co-ords, parametric equations, basic complex analysis (complex numbers), inverse functions, series, sequences, logs, vectors.

Seeing as you're in the UK, why do you want to learn pre-calculus? I like the UK A-level module system better. From that list, those things are definitely not strict prerequisites for learning calculus.
 
  • #3
well, to me, it seemed like pre calc was more of a trig class. we always worked more with trig identities and the unit circle than anything else. then of course there was graphing and other parts to it.
 
  • #4
cochise said:
well, to me, it seemed like pre calc was more of a trig class. we always worked more with trig identities and the unit circle than anything else. then of course there was graphing and other parts to it.

Understood. ;)
 
  • #5
Pre-Calculus is a course to prepare for the study of Calculus. Pre-Calculus contains topics of Algebra more deeply than seen in "Intermediate" Algebra, and most of the topics of Trigonometry including vectors and polar coordinates. The course may also include binomial theorem, probability, and a bit of linear algebra. ALSO important content of a GOOD Pre-Calculus course is the study of Limits.

Calculus differs from Pre-Calculus by studying Limits and using Limits to develop and understand rates of change of functions
 

1. What is the main difference between Pre-Calculus and Calculus?

The main difference between Pre-Calculus and Calculus is that Pre-Calculus is a course that prepares students for Calculus, while Calculus is a higher level math course that involves the study of limits, derivatives, and integrals.

2. Do I need to take Pre-Calculus before taking Calculus?

It is highly recommended to take Pre-Calculus before taking Calculus, as it provides the foundational concepts and skills needed for success in Calculus. However, some students may be able to skip Pre-Calculus if they have a strong understanding of algebra and trigonometry.

3. Which topics are covered in Pre-Calculus and Calculus?

Pre-Calculus covers topics such as algebra, trigonometry, and functions, while Calculus covers more advanced topics such as limits, derivatives, and integrals. Both courses also include topics such as graphing, polynomial functions, and exponential and logarithmic functions.

4. Is Calculus harder than Pre-Calculus?

This can vary for each individual student, but in general, Calculus is considered to be a more challenging course than Pre-Calculus. It requires a strong understanding of algebra and trigonometry, as well as the ability to think critically and apply concepts to solve complex problems.

5. How can I prepare for Calculus if I am currently taking Pre-Calculus?

To prepare for Calculus while taking Pre-Calculus, it is important to fully understand the concepts and skills being taught in Pre-Calculus. It is also helpful to practice solving problems and to review algebra and trigonometry concepts. Additionally, familiarizing yourself with the basic concepts of Calculus, such as limits and derivatives, can also be beneficial.

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