Differences between Applied Calculus and Calculus?

I've got to choose between applied calculus and regular calculus for my next math course. Could someone spell out the differences for me?

Sure, happy to help! Both Applied Calculus and Calculus courses seek to provide an understanding of the core calculus concepts, which are differentiation and integration. However, the difference lies largely in the depth and theoretical nature of the content.

'Calculus' often referred to as 'Calculus I' or 'Calculus II' in a sequence of courses, typically covers techniques and applications of differentiation and integration (respectively) in greater depth. It tends to delve into the abstract theories behind calculus. If you're inclined towards math or science, or if your major requires a robust understanding of calculus (like physics, engineering, or computer science), this course would be a better fit. It sets a solid foundation for understanding more advanced math concepts in future courses.

On the other hand, 'Applied Calculus', is typically less intense in terms of abstract theory. The emphasis is more on practical applications of calculus in fields like business, economics, life sciences, social sciences, and so on. The course often uses real-world examples to illustrate concepts - hence, the "applied" title. In Applied Calculus, you'll still learn about derivatives and integrals, but those subjects are approached in a more user-friendly, less abstract way.

In short, the type of calculus course you should choose largely depends on your major, your interest in math, and your career aspirations. If you're in a math-heavy major or a subject that requires a comprehensive understanding of calculus, you may want to consider the regular calculus course. If you're in a field where you just need a basic understanding of calculus and its practical applications, applied calculus might be more suitable.

You can always reach out to academic advisors and the respective teachers of the classes to get their firsthand thoughts on which one would be a better fit for you. Best of luck with your future calculus endeavors!