# [Maths Class Notes] on Calculus Maths App Pdf for Exam

## All About Calculus Application

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:

1. Physics

2. Engineering

3. Economics

4. Statistics

5. Medicine

Calculus is used in other disparate areas as well including:

1. Space travel

2. Determining how medications interact with the human body

3. 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 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.

### Types of Calculus

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

1. Differential calculus

2. 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:

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

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

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

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

5. 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:

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

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

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

### Application of Calculus

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:

1. Motion

2. Heat

3. Electricity

4. Harmonics

5. Astronomy

6. Acoustics

7. Photography

8. AI

9. Robotics

10. Video Games

11. Movies

12. Predict birth and death rate

13. Study of gravity

14. Planetary motion

15. 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

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:

1. Vector fields

2. Multilinear algebra

3. Continuous differentiability

4. Integration of forms

5. Quadratic forms

6. Tangent space

7. Normal space via gradients

8. Critical point analysis