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Calculus is a branch of higher mathematics that you can take either in your senior year of high school or in college. It is built upon the previously studied math classes and is an important subject in order to pursue a career in the STEM (Science, Technology, Engineering, Mathematics) field. Besides, it can also be useful to students of business and economics.
Thanks to the unanswered questions in mathematics by arithmetic, algebra, geometry, or trigonometry that Calculus was invented. As a result, the world could later get some of the most wonderful inventions like the motor car, electricity, and the internet.
All the previous math classes you assumed the speed of running was constant, or a shape is a perfect square or a circle, but in the real world it is full of irregularities. And this is where Calculus comes into play. It was measuring changes that had the element of variation in it.
The famous philosopher Voltaire, defined calculus as "the Art of numbering and measuring exactly a Thing whose Existence cannot be conceived."
The answer to this question is subjective, but it most certainly is challenging.
In order to solve calculus numerical problems, the first prerequisite is having clarity over algebra 2 and geometry. Further, you need to have the ability to take on problems in calculus that require more analysis and discernment than the mere application of formulae. Because a lot of students are not willing to push on their thinking, they give up on it. But, the ones who enjoy solving complex calculus problems, love it!
Another reason Calculus could feel overwhelming is that the syllabus consists of many new topics. It is ideal to acquaint yourself with what you are going to study here.
Whether you love Calculus or dislike it, expert guidance can help you figure out the solutions in less time and go on to learn advanced concepts about this topic.
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Question1: What is calculus?
Calculus is a branch of math that deals with calculating changes. Unlike Geometry and Algebra that deal with a static object, Calculus can help you deal with movement through space, time, etc.
It has two main branches, differential calculus, and integral calculus. Let us understand them through some examples.
Example (i): A car moves for a distance of 30km in 1 hour. So it is clear that its average speed is 30km per hour. But during the trip, it had to halt several times due to traffic and the speed constantly changed.
To calculate the speed at any given point, we can use differential calculus.
Example (ii): We know how to calculate the area of simple shapes like a rectangle, a triangle, or a circle through geometry. But, what if we need to find out the area of an irregular curve, like that of a potato?
To calculate such irregular shapes, we need integral calculus.
Question2: Who invented calculus?
Both Isaac Newton and Gottfried Wilhelm Leibniz are credited for inventing calculus independently in the latter part of the seventeenth century. However, there had been controversies around them blaming each other for copying the theory from each other.
Question3: What is calculus used for?
Calculus is widely used in many disciplines like business, physics, chemistry, computer science, higher math, etc. In fact, in order to study any of these in-depth, you will be required to study calculus.
Question4: How to do calculus?
To be able to solve calculus problems, get a stronghold over the math preceding calculus, i.e. Arithmetic, Algebra, Geometry, and Trigonometry. If you have attended a pre-calculus class, it would help you understand what you can expect in calculus. Importantly, understand the fundamental concepts of this subject, viz, integration and differentiation and the relationship
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