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Calculus has been one of the most important branches of mathematics since ancient times. Over the years, it has been used to study the nature of change in a sequence. And, today, it also combines the knowledge of statistics and computer science to solve typical problems in the areas of life sciences, engineering, information technology, and business studies. However, it’s not simple to learn this topic and develop a firm grip on its application skills taking into account that its formulas are too complicated and it’s not easy to apply them as well. If being a student of mathematics, the academic projects of calculus are bothering you a lot, then get calculus assignment help from our team of experts.
We are aware of the fact that completing an assignment of calculus is not a child’s play as this topic is interdisciplinary in nature. That means for solving the questions related to it, one needs to have a thorough command of all the other branches of mathematics, such as geometry, algebra, and vector. Thus, we have hired professional mathematicians to provide you with online calculus assignment help. The entire team working for our calculus assignment writing services remain active to provide you help on any topic be it differentiation, integration, chain rule, or discontinuity.
Calculus involves the mathematical study of continuous change, in the same way, that trigonometry is the study of area and relationship between sides and angles of a triangle. It helps us study and analyse how a series of mathematical equations come together to show certain changes over a period of time. It has two major branches, namely differential calculus and integral calculus.
As per our calculus assignment writing services providers, the derivative of a function at a chosen input value describes the rate of change of the function near it. The process of obtaining a derivative is called differentiation. Both integral calculus and differential calculus are interrelated. And, they constitute the foundation of mathematical analysis.
The famous scientists Issac Newton and Gottfried Leibniz are together said to be the discoverer of calculus. But both of them had different opinions. While Leibniz considered that variables X and Y as ranging over sequences of infinitely close values, Newton assumed that variables changes with time. On the basis of this, Leibniz introduced "dx" and "dy" as differences between successive values of a sequence. On the other hand, Newton used the finite velocities x' and y', to calculate the value of tangent. The only similarities between both these scientists’ ideas were that both thought in terms of graphs and used infinitesimals (quantities that are infinitely small and yet nonzero) to prove their points. But for Newton, the calculus was geometrical while Leibniz took it towards analysis.
As per historians, Leibniz was very conscious of the importance of good notation and put a lot of thought into the symbols he used. On the other hand, Newton wrote more for himself and used whatever notation he liked. As a result of this, the theories and propagation given by Leibniz are decipherable, and thus, more in use today.
The life story of calculus can be divided into three phases: Anticipation, Development, and Rigorization. During the first stage, mathematicians used infinite processes in finding areas under curves or maximizing certain quantities. In the development stage, Newton and Leibniz brought all of those earlier techniques together under one umbrella. But as their approaches sounded illogical, mathematicians took more than three centuries during the Rigorization stage to justify them.
Despite the belief that it is the most complex branch of mathematics, calculus is used in our day-to-day life in many ways. Economists use it to predict maximum profits, costs, and revenues and scientists use it in population dynamics and particle physics. You would be surprised to know that the Industrial Revolution began after calculus became widespread. After Newton’s De Quadrature Curvarum (The mathematical papers of Isaac Newton) was published in 1736, there had been a number of inventions around the world such as steam engine by Thomas Savery and Automobile by Nicolas-Joseph Cugnot. These inventions were the result of a massive improvement in the area of physics that had not been possible without calculus. And with this, there was a great deal of improvement in all branches of engineering whether it’s civil, electrical, mechanical, electrical, aeronautical, or nautical. Read on further to know how the concepts of calculus are used in different areas of study:
An architect uses integration to determine the amount of material needed to construct a solid structure, such as foundation, pillar, and roof.
Calculus is used here to determine the exact length of power cable needed to connect two substations.
Spaceflight engineers use calculus to launch an exploratory probe. For this purpose, astronomers consider the different orbiting velocities of the Earth and the planet the mission is targeted for, along with the gravitational forces created by the sun and moon.
Calculus is used by doctors to measure the blood flow, cardiac output, and tumor growth. This branch of mathematics is also used in the area of pharmacology in order to determine what should be the proper dose of a drug. Moreover, it is also used for monitoring the immediate and long-term benefits of a medicine on a patient’s body.
In Physics, Integration is used to calculate the centre of Mass, velocity, the trajectory of an object, center of gravity and mass, moment of inertia of a sports utility vehicle, etc. Apart from this, differential calculus is also used to construct differential equations required to determine how things move as a function of time.
Because a survey involves many different assumptions with a range of possible conclusions, calculus allows a more accurate prediction for the appropriate action.
A graphic designer uses calculus to determine how different 3-dimensional figures will behave when subjected to different backgrounds.
Almost all the applications of modern chemistry are based on the theories of calculus. For instance, it is used to determine the rate of retroactive decay. Apart from this, the concepts of differentiation are important in thermodynamics. Moreover, differential equations and linear algebra are central to quantum chemistry.
Credit card companies use calculus to calculate the minimum payments due on credit card statements at the exact time.
Now it would be clear to you how calculus is important for people from different professions. So, it is not worth ignoring it or avoid having its in-depth knowledge just as another subject. But if the boring nature of this topic or intricate techniques are the cause of disinterest, then we suggest you attend online classes for the same. However, if loads of academic projects are not letting you do this, then seek help from the calculus assignment writing professionals working with us.
Calculus is a scary word for most students in light of the fact that there are so many formulas and its applications are quite tough. Moreover, to understand its concepts one requires knowledge of various topics, such as algebra and geometry. Many students wonder if they would ever be able to hold command of this topic? Well, if you are on the same wavelength, then here are a few tips suggested by our calculus assignment writing experts that will surely help you out:
Discard the fear of calculus: The mere thought of attempting a calculus problem can give jitters to students. But they need to throw away that feeling by thinking positively. Calculus can be easy when we approach it with the right attitude, and with practice, we can gain mastery over it.
Master the basics: Many scholars struggle to understand the concepts of calculus because their fundamentals of mathematics are not fully developed. To comprehend the typical equations of calculus, you need to develop a good command of algebra and geometry.
Develop conceptual clarity: Often, students try to memorize a sequence of steps instead of trying to understand why certain steps are required in a procedure. By earlier approach, they could solve the questions based on the similar pattern. But if encountered with any twist in the question, such scholars might leave the idea to attempt it. So, instead of rote learning, try to understand that why certain steps had been taken to solve the problem. Once, you understand this, try applying your own approaches to the problem on the basis of your conceptual understanding.
Have mastery over formulas: While solving a calculus problem, it is mandatory to apply the right formula. But memorizing all the formulas is not a plain-sailing task. After all, there are over hundreds of them to learn. All you need to do here is do constant revision. Make a chart of formulas and read it frequently.
Ask for help: Calculus is one of the toughest topics of mathematics. So, it’s quite obviously to face difficulties while solving the problems. But do not lose interest due to the frustration of not being able to solve them. Instead get help from your teachers, friends, or opt for online calculus assignment help.
Practice: When it comes to mathematics, the more one practices, the better he/she will become at it. And, calculus is not an exception here. So, you should try to get out your hands on as many practice books as possible.
By incorporating these tips in your life, you can easily develop a firm grip on the concepts of calculus. In case loads of pending college projects of this subject are not letting you focus on the above-mentioned points, take calculus assignment help from the subject experts working with us.
As a student of mathematics, you need to master the concepts of calculus. The experts working with us to provide calculus assignment help say that studying calculus needs a practical approach. Although mugging up all the formulas and theories is important, one also needs to understand the derivations by taking real-life examples.
During the last few years, we have helped thousands of students from various colleges across the UK by providing high-quality assignments on this subject. We not just want our clients to score exceptional grades in their internal assessment exams but also learn the topic thoroughly. In case you are not able to solve the assignments of this subject, take help from the experts working with us. With their knowledge, these academic writers have helped many students in the following areas of calculus:
Chain Rule- A formula for the derivative of the composition of two functions in terms of their derivatives.
Continuous Function- A function with no jumps, gaps, or undefined points.
Critical Point- A point of a function's graph where the derivative is either zero or undefined.
Definite Integral- An integral with upper and lower limits.
Derivative- The infinitesimal rate of change in a function with respect to one of its parameters. The derivative is one of the key concepts in calculus.
Discontinuity- A point at which a function jumps suddenly in value, blows up, or is undefined.
Extreme Value Theorem- The theorem that a continuous function on a closed interval has both a maximum and minimum value.
First Derivative Test- A method for determining the maximum and minimum values of a function using its first derivative.
Fundamental Theorems of Calculus- Deep results that express definite integrals of continuous functions in terms of antiderivatives.
Implicit Differentiation- This involves differentiating an implicit equation with respect to the desired variable, treating other variables as unspecified functions of it.
Indefinite Integral- It is an integral without upper and lower limits.
Inflection Point- It is a point on a curve at which the concavity changes.
Intermediate Value Theorem- This theorem states that if "f" is continuous on a closed interval [a, b], and c is any number between f(a) and f(b), then there is at least one number x in [a, b] such that f(x) = c.
Limit- The value a function approaches as the variable approaches some point. If the function is not continuous, the limit could be different from the value of the function at that point.
Maximum- The largest value of a set, function, etc.
Mean-Value Theorem- The theorem that if f(x) is differentiable on the open interval (a, b) and continuous on the closed interval [a, b], there is at least one point c in (a, b) such that (a - b) f(c) = f(a) - f(b).
Minimum- The smallest value of a set, function, etc.
Newton's Method- An iterative method for numerically finding the roots of a function.
Riemann Sum- An estimate, using rectangles, of the area under a curve. A definite integral is defined as a limit of Riemann sums.
Second Derivative Test- A method for determining a function's maxima, minima, and points of inflection by using its first and second derivatives.
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