Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Skip to content Gone are the days when the only way you could learn a new skill was in a classroom.
If you are one of those people, you could believe one or more of these misconceptions: Not everyone can learn math. We used to think that intelligence is fixed, but researchers have shown that it is false. Psychologists like Carol Dweck have shown that believing that you can increase your intelligence will lead to more success. Math is about solving problems quickly. If you think that being fast is a sign of being good at math, you are setting yourself up for failure.
Researchers at the University of Chicago have demonstrated that anxiety even affects students who excel in math. Knowing how to solve a problem is important, but knowing why that solution works is more important. If you learn only the rules and procedures without learning why they work, what will you do if you forget it? Who knows?
Before you get started, you should brush up on these essential skills: Algebra. Be able to solve polynomial, linear, and quadratic equations. Understand the properties of exponents. Know the properties of logarithms. Understand what a function is and how to represent it on a graph. Know how to manipulate functions and be familiar with terms related to functions, like domain, intercepts, and range.
Be able to compute the area of shapes and volume of shapes. Be able to reason about a coordinate plane and equations for parallel and perpendicular lines. Know what sin x , cos x , and tan x functions represent and how they are represented on a graph. Pick Your Sources For learning Calculus, you have three options for sources—books, free online resources, or self-paced courses that you need to pay for. Here are some to check out: Khan Academy. This popular site features courses in everything from Art History to Physics.
This link will take you to the Calculus page. Many of the courses on the website start with middle school concepts and work up, so this could be a useful resource if you need to review a prerequisite subject. MIT OpenCourseware. MIT was one of the first universities to upload courses with lecture videos.
Some courses include homework assignments, notes, and tests. This is a hodge-podge site with everything from problems, animations, online textbooks, tutorials, and videos. An excellent resource for additional problems, explanations, and tools. Calculus for Beginners and Artists. Step 3 Learn Calculus Formulae. The derivatives and integrals which form the calculus have some basic formula which you need to learn before getting started on calculus problem-solving.
You should work on understanding those formulae by going through the proof through which the formula has been obtained. Step 4 Know the Concept of Limits. For the evaluation of a complex function, it is important to break that complex function into small pieces with the help of limits. You have to solve all the broken parts of the complex function and then sum it together. This is how solving a complex function would become easy. This is the importance of limits here, making it highly important to understand it.
Step 5 Understand the Fundamental Theorem of Calculus. It is the fundamental theorem that helps the students in obtaining an understanding of the integration and differentiation.
The theorem helps them in understanding how the integration and differentiation tend to be the inverse of each other.
After you are done with understanding the formulae and theorem, it is high time for you to begin practicing on the problem. For beginning your practice, you can start with the derivatives problems. When you get hands-on practice on these problems, you can further move to the integral problems. If you actually want to be good at calculus, it is important to practice as many problems as you can in a day.
It is very important to keep some questions for practice daily so that you can stay connected to the subject every day. Even if you are stuck at a problem, discuss it with your teachers or your peers to get the answer to it so that you can proceed further. Step 7 Ask your Doubts. When you are in your learning process, it is too common to have doubts related to calculus formulae, theorem, or the problems.
Asking questions is a part of the learning too through which you get the questions in your mind clear to sort more clarity of the subject. Your teachers are always open to your questions and would always be more than happy to solve them.
Along with this, you can also consider connecting with an online tutoring service for calculus through which you can keep learning calculus through expert tutors at any time and at any place.
Step 8 Check Your Concepts Again. Even when you are done with the learning process of calculus concepts, it is important to have scope for improvement. You can consider double-checking your concepts, in order to realize whether you actually understand it properly or not. If you have understood the concepts and problems then it is good but if you have not then always chose to address your doubts with your teachers and get answers to your question. As an analogy, a gun is used by a holdup man but holdups are not about guns.
In fact the slopes of a constant function and a linear function are clear without using a limit. You'll learn the derivatives of the elementary functions, notation for the derivative, properties of the derivative, applications of derivatives, higher order derivatives, and why some functions don't have a derivative at some points or even at any point!
It is customary to teach differential calculus formally and abstractly which completely obfuscates the subject. Integral calculus is the study of a different property of functions and it too is not about limits. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group.
Create a free Team What is Teams? Learn more. How should I self-study calculus? Asked 7 years, 2 months ago. Active 3 years, 5 months ago. Viewed 14k times. Don't let people discourage you. Be dedicated to your goal. Sacrifice time to master it.
At the end, free your mind and smile. Show 3 more comments. Active Oldest Votes. Ajay Ajay 71 1 1 silver badge 1 1 bronze badge. Add a comment. Mathemagician Mathemagician Trust me you want to learn to walk before you try to run. I second no Spivak. I will edit my post. Another good resource is Paul's Online Math Notes: tutorial.
They are excessively expensive and lack motivation in my opinion. Kline motivates the calculus with intuitive hence the title physical problems and does not burden the novice reader with proofs. Pixel Pixel 9, 4 4 gold badges 36 36 silver badges 71 71 bronze badges.
Bon voyage.
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