# Thread: Calculus 4

1. ## Calculus 4

We know that there are 3 levels of calculus. I want to know if there is a calculus 4 course. Some people say that differential equations is calculus 4 in disguise. What do you say?

2. ## Re: Calculus 4

The division of Calculus, or, more correctly, the teaching of Calculus, is entirely arbitrary, basically depending on how much material can be taught in one term.

3. ## Re: Calculus 4

In my experience Calculus I through III typically go through introductory Calculus up to and including multivariate Calculus. I have seen Calculus IV as either Analysis or Differential Equations, depending on the School.

-Dan

4. ## Re: Calculus 4 Originally Posted by HallsofIvy The division of Calculus, or, more correctly, the teaching of Calculus, is entirely arbitrary, basically depending on how much material can be taught in one term.
How much material should be taught per term?

5. ## Re: Calculus 4 Originally Posted by topsquark In my experience Calculus I through III typically go through introductory Calculus up to and including multivariate Calculus. I have seen Calculus IV as either Analysis or Differential Equations, depending on the School.

-Dan
To my understanding, Calculus 3 is Multivariable Calculus. Yes? Why do you think Calculus 1-3 is introductory material?
I've seen a few minutes of Calculus 3 on youtube by Professor Leonard. It does not look simple to me. The concept of vectors must be thoroughly understood to grasp this level of Calculus. Your thoughts?

6. ## Re: Calculus 4 Originally Posted by harpazo To my understanding, Calculus 3 is Multivariable Calculus. Yes? Why do you think Calculus 1-3 is introductory material?
I've seen a few minutes of Calculus 3 on youtube by Professor Leonard. It does not look simple to me. The concept of vectors must be thoroughly understood to grasp this level of Calculus. Your thoughts?
I said up to and including. Roughly speaking, Calculus I is derivatives, Calculus II is integration techniques, and Calculus III is multivariate, though as HallsofIvy said every College pretty much does it's own thing.

-Dan

7. ## Re: Calculus 4 Originally Posted by topsquark I said up to and including. Roughly speaking, Calculus I is derivatives, Calculus II is integration techniques, and Calculus III is multivariate, though as HallsofIvy said every College pretty much does it's own thing.

-Dan
Good to know. I will do a self-study of Calculus 1-3 after my algebra review. I will use this site and youtube.com for help with textbook questions.