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Maths is a subject of practical information. Concepts of Mathematics are used widely in practical terms to understand its nature. As it is used widely, hence requires deep learning of the concept. To understand it even better, an app to learn calculus is introduced which guides students further conveniently and easily.

Calculus is a branch of Mathematics which deals in the study of rates of change. Before calculus, all Maths was static. Earlier it could only calculate the objects that were still. Seeing this, it is practically not possible as the universe is never constant. All objects from stars in space to cells in the human body are never at rest. These all are constantly moving. Calculus helps in determining how particles, stars, and matter move and change in real life.

Calculus is not only confined to Mathematics, but it is also used widely in other fields as well

Some of the known fields where calculus concepts are used are:

Physics

Engineering

Economics

Statistics

Medicine

Calculus is used in other disparate areas as well including:

Space travel

Determining how medications interact with the human body

How to build safer structures

Using calculus, scientists, astronomers, mathematicians, and chemists could chart the orbit of planets and stars and also the path of electrons and protons at the atomic level.

Calculus apps like Vedantu provide the best solution to learn calculus. Here Calculus formulas like integral formula, limits, and derivative formula are explained in an easy manner. Calculus help app provides assistance to understand calculus in a fun and exciting way and also ensures that the context is easy to understand.

Basic calculus is the study of differentiation and integration. In basic calculus, there are two branches of calculus namely -

Differential calculus

Integral calculus

Differential calculus studies the rate of change of quantity and also examines the rate of change of slopes and curves. This part is concerned with continuous change and its application. Here are many topics to shield on in differential calculus. These are as follows:

Limits: It is a degree of closeness to any value or the approaching term.

Derivatives: It is an instantaneous rate of change of quantity with respect to the other.

Continuity and differentiability: Any function is always continuous if it is differentiable at any point.

Chain rule: To find the derivative of the composition of a function, the chain rule is applied.

Quotient rule: To find the differentiation of a function, the quotient rule is used.

Integral calculus finds the quantity where the rate of change is known. It basically focuses on concepts as slopes of tangent lines and velocities and concerns with space under the curve. It resembles the reverse of differentiation. It is the study of integrals and their property. Below listed are other topics covered in integral calculus:

Integration: It is simply defined as the reciprocal of differentiation.

Definite Integral: In a definite integral, the upper limit and lower limit of the independent variable of a function is specified.

Indefinite integral: Here, it is not confined in a specified boundary and hence the integration value is always accompanied by a constant value.

Calculus is not only confined to Mathematics subjects, but it has many practical applications in the outside world. Here are some of the concepts that use calculus including:

Motion

Heat

Electricity

Harmonics

Astronomy

Acoustics

Photography

AI

Robotics

Video Games

Movies

Predict birth and death rate

Study of gravity

Planetary motion

Bridge engineering

Talking about economics, Calculus is even used in economics to determine the price elasticity of demand. Calculus allows us to determine points on changing supply and demand curves.

Advanced calculus includes topics such as advanced series and power series and it covers the basic calculus topics such as differentiation, derivatives, and so on. The important areas to be covered are vector spaces, matrices, linear transformation. It helps us to understand the knowledge on few concepts such as:

Vector fields

Multilinear algebra

Continuous differentiability

Integration of forms

Quadratic forms

Tangent space

Normal space via gradients

Critical point analysis

FAQ (Frequently Asked Questions)

Q1. Is it Worthwhile to Understand the Concept of Calculus through Apps for Solving Calculus Problems?

Ans. Yes, calculus covered in math apps for calculus provided in an easy to understand and the concepts covered are all practical. All concepts are cleared in a practical way where the roots are cleared to students.

Concepts like differential equations, derivatives, differential calculus, and much more are taught by interactive videos, lectures, calculus games apps simply to make the concept even more interesting to understand. Students tend to stick to the explanation process and find it easier to apply further in the practical world.

Q2. What is a Differential Equation?

Ans. A differential equation is an equation with a function and one or more of its derivatives. We take it into use when we need to discover the function y.

These are calculated to describe how things change. Calculus is all about the study of rates of change. Differential equations discover how things change.

Solving differential equations is not easy and hence requires the classification. These are classified as:

Ordinary or partial: The first grouping is an ordinary differential equation that has a single independent variable whereas the partial differential equation has two or more independent variables.

Order and degree: The order is the highest derivative whereas the degree is the exponent of the highest derivative.

Linear: Linear is when the variable has no exponent or other function put on it.

Q3. Is Calculus the Same as Algebra?

Ans. Yes, calculus is the same as an Algebra but to understand it even better, it is just one additional step beyond algebra and trigonometry. Calculus is solving algebra and trigonometry with limits. Only one step is included in calculus and the best part is simply solving algebra or trigonometry. If the basics are not cleared of algebra, chances are you need to work hard to get the basics done first and then understand the concept of calculus.

Practice more questions on calculus practice app Class 11 and 12 on various other topics such as limits and derivatives, integration using the above discussed different methods.