Math Concepts

How to study Calculus?

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20 November  2020

Reading Time: 6 Minutes

Introduction

Struggling with calculus?

Did you know that the word calculus has Latin roots?

It actually originates from a Latin word which means small stone. This is because it is a branch of mathematics that deals with small continuous changes. 

We try to understand something by observing small pieces.

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It has two important branches - differential calculus, and integral calculus. Differential calculus is so named because we find out the changes by cutting it into small pieces. Integral calculus on the other hand joins or integrates the small things together.

In this blog, we will be answering common concerns like “how to pass calculus?”, “how to study calculus?”, “how to survive calculus?”, “How to get an A in calculus?”, and “how to ace calculus?”

What is Calculus?

 

Also read:


The right way to study Calculus

Calculus is actually a very beautiful concert that has been monsterized since people seldom actually study them. Students end up mindlessly cramming the formulas before understanding their purpose and what they actually mean. 

So, how to study calculus?

One should always start with the basics of calculus. So, start with the very first and progress in the order 

1. We seldom acknowledge that functions and calculus have deep interrelations. Thus, a thorough understanding of relations and functions helps one to grasp calculus better.

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2.Learn and understand the limits.

3. Progress to the concept of differentiation

4. Understand integration.

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Teaching Yourself Calculus

Although it is always recommended to learn calculus with a guide, there are many open-source free courses that can help in teaching yourself calculus on your own. You must always keep the following in mind before starting on calculus:

  • Calculus is a challenging subject. Therefore, it’s always better to dedicate a fixed amount of time towards it, around 2 hours daily.

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  • Schedule your calculus study time when you are absolutely free of distractions. Early mornings make the best time to do so.
  • Get thorough with theory. Try to visualize the concept and see real-life applications to it.
  • Once the theory is done, work out as much practice as you can get. If you are stuck somewhere, go through the theory again, and rework the problem. Further, try to understand which method works best where and why.

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  • Try teaching calculus who has absolutely no idea about it. You will realize that you actually learn a lot while you teach.

Now let us look at “how to pass calculus?”.


How To Pass Calculus?

It’s easy when you put the right effort into it! Calculus is no exception. Students generally think of calculus as a set of abstract ideas that need to be learned and applied. 

That’s where the passing calculus problem creeps in. develop an interest in the subject by focusing on the ‘whys’ rather than the ‘hows’ behind each concept. So, how to pass calculus?

  • Never miss a class on calculus. You may never know that just missing one lecture or one class may push you behind by ten steps and get you further away from passing calculus.

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  • Get to know your course. Your syllabus will guide you to focus on how much on which topic. It will provide you with details like which topic is worth what percentage of your grade so that you can schedule your time accordingly.
  • Besides, your devoted calculus time has a study group too. Sometimes, we understand a lot about our strengths and weakness by looking at others, doubts.

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  • Practice, practice, and more practice.
  • Relax and unwind. Remember that minds work best only when they are open. Therefore, it’s good to take breaks in between to keep your mind free and open.

Learn how To Ace Calculus?

Calculus may not be the easiest subject to ace, but it is not difficult to earn an A in it if a certain doubt like “how to get an A in calculus?” is coming to your mind, once you know how to study it the right way. 

As we have been saying it since the beginning of this article, the key to ace calculus lies in internalizing the concept well rather than just mugging it up. 

Here are a few tips to help you with the process of preparing for calculus.

  • Developing a thorough understanding of calculus needs a little more effort than just dutifully jotting down your lecture notes. It will require you to make a mental model of the concept and understanding the ‘why before’ the ‘how’ of calculus. 

Do not shy away from asking questions. Only when you develop clarity for the concept, you can have an in-depth understanding of it.

  • Lots and lots of practice is the other important mantra for acing calculus. Schedule a fixed time for your daily practice.

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It not only builds clarity but also helps develop confidence in taking up calculus challenges.

  • If and when you are stuck up with a tricky problem, seek help. 

However, before doing that figure out where you are stuck up or what exactly is not letting you progress into the problem. This will help you get targeted advice on the problem.

  • Review and Revise. As important it is to learn and master new concepts, it is imperative that you keep in touch with all the important concepts or theorems learned so far. Revise them at regular intervals.

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You can also keep a list of these handy in your pocket or paste a chart of them on your wall. These will help your theorems be in your sight.


Summary

Let us now summarise the best study methods for “how to pass calculus?” “How to study calculus?” “teaching yourself calculus” “how to ace calculus”:

  • At the cost of sounding monotonous, I will again reiterate - internalize the concept. This becomes a little more difficult when you teach yourself calculus. 
  • Seek help from your teachers, seniors, and friends. The time that you devote to internalizing calculus will be a wise investment that will save you time and effort later.
  • Get lots of practice. Work out all problems from your textbook and search for additional practice materials.
  • Never miss a class. It is difficult to catch up in calculus if you have broken or missing links.
  • Do not let the dust settle on your old concepts. Keep them revising at regular intervals.

Learning, understanding, and mastering any concept takes regular practice and hard work. Take 30 - 45 minutes a day to practice whatever it is you're looking to master and it will always make a difference. Get better at math with us, sign up for a free trial.  

Written by Aarti Agarwal, Cuemath Teacher


About Cuemath

Cuemath, a student-friendly mathematics and coding platform, conducts regular Online Live Classes for academics and skill-development, and their Mental Math App, on both iOS and Android, is a one-stop solution for kids to develop multiple skills. Understand the Cuemath Fee structure and sign up for a free trial.

FAQs

How to teach yourself calculus?

Teaching yourself calculus is actually advantageous for many students. It can help you get a headstart over others. However, calculus being a bit tricky, do not shy away from seeking help whenever you need them. Internalize the concept and have ample practice to develop clarity and confidence.

How to prepare for calculus?

preparation for calculus should start from the beginning of the semester. Calculus is not difficult, once you get a hold over the concepts. With time and continuous effort, it starts coming naturally to you. Just keep in mind, all the points that we have already discussed in this article.


External References 

Wikipedia.org  - Calculus

Toppr - How is Calculus Used in Everyday Life?


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