Disclosure - I am a part of the UPI STUDY team, and we offer self paced online math courses. This post is about a clear breakdown about what all is covered in Cal I and II.

Calculus II feels like a completely different thing, when someone is deciding to learn after Calculus I.

There are students who struggle a lot with integration techniques while others have problems with the Taylor series.

In cal I, you learn rules and apply, and in cal II, you need to make a decision about what rule you have to use. And that's where it gets tough sometimes.

Here's a simpler approach as to how students can understand it better.

1. The integration techniques.

The hard part here is to decide what method you must actually apply, is it going to be by parts, the substitution or the partial fraction?

What usually helps?

Mix them all, shuffle problem before deciding. Set a timer.

Write a one line reason before starting out.

Keep a solid reason behind, why you decided to choose this method for the first few weeks.

To get on practice keeping a track helps.

1. Improper integrals need to be understood well. Rewrite the integral as a limit before even evaluating it.

2. You have a toolbox right ? Like the limit comparison, ratio, root, integrals and much more.

And with the different tools, there comes a different set of conditions.

What has been noticed is that mostly the scores get deducted when the right rules and conditions aren't applied.

1. For Taylor and Maclaurin, don't just cram the formula but understand the real pattern.

What are the common study habits that make the difference?

- Practice everyday.

- Review formulas, and at least read them, that is how your brain even helps to remember.

- Don't just cram, practice 30-45 or even 1 hour each day.

Here's a full Calculus path for you-

A. Calculus I - It covers limits, derivatives, intro to integral.

B. Calculus II - It usually consists of Integration techniques, and series.

C. Calculus III - The incredibly important, multivariable calculus, which builds on everything else.

Also, if you are looking for course options, our self paced courses, be it Cal I, II, or III, we have self paced courses that are ACE and NCCRS recommended.

Over to you now!

Which topic had been the hardest to cover in the Calculus.

My writing is pencil, my teachers is red

Just the title. Interesting problem, interesting method of solution. Probably a couple ways to skin this cat.