Calculus 4 and 5: student confusion

Is there such a thing as Calculus 4?

Calculus 4 is an extension course of calculus 3, there is no such a calculus 4. But some universities split calculus 3 into sections and call them calculus 4 or calculus 5. Is a context that varies between each university. but in this article, we’re going to mention the 10 important subjects that students study in calculus 4.

Is there such a thing as Calculus 5?

Normally there is no more than Calculus 3, most college programs have from Calculus 1 to Calculus 3. but some colleges split the context of Calculus 3 and add it to Calculus 4 and 5. So all subjects that you will find in some programs are originally from Calculus 3.

while some college courses don’t even have Calculus 4, they just squeeze the all content into three parts:

  • calculus1
  • calculus 2
  • calculus 3

Some other courses have 8 semesters of calculus, they name each semester by a number. For this reason, a lot of students get also confused and ask if there is a calculus 7 or 8.

In general, the Calculus 4 that you might be studying in a school might not be completely similar to that of other students in another university study. So instead of saying calculus 5 or 4, you have to name a subject of calculus like:

  • multivariable
  • partial derivatives
  • green theorem

naming the subject is the common way to understand what you are studying not a number.

But in general, we’re going to name or notice the calculus 5 subject that you might find in some schools, there are some topics of calculus 5 that some students study in colleges such:

  • Ordinary differential equations
  • Partial Differential equations
  • tensor theorem
  • real-analysis
  • complete analysis
  • Extreme Value Theory


To summarize there is no such Calculus 4,5 or Calculus 6 or even 7 and 8. You might find them in some school curriculums but it just means a level course. Principally there are 3 calculus sections, calculus 1,2, and 3 more than that is an extension program of Calculus 3.

calculus is one complete program, each university decides how it going to split its program into 3, 4, or even 5 sometimes so it is just made of names you don’t have to worry about that.


Yassin ajanif is a physics graduate and electromechanical engineer width more than 5 years in the field. My goal and my team are to share our experience to help you succeed in your career as a stem major. we talk about all tips, problems, and struggle STEM students face in their career and how to overcome them.