Maths is not only a subject taught in school but also has several applications in real life. Some kids find maths easy while some find it difficult. Parents find it a challenge to make kids love Maths. It takes lots of practice to master Maths. Some students may find Maths hard to understand and implement. Thus, GeeksforGeeks presents here a simple way for kids and students to learn Maths in a hassle-free manner.
Online Maths for free has been brought at GeeksforGeeks for students so that they can easily learn and understand each fundamental basic concept of Maths. We have provided learning materials for all standards in this article.
Maths Mapping
In mapping Maths, we acknowledge several concepts of Mathematics. The origin or base of Maths is Counting, where we count the objects we see. Mathematics can be divided into two parts:
- Pure Mathematics(number system,geometry, matrix,algebra,combinatorics,topology,calculus)
- Applied Mathematics(Engineering, Chemistry, Physics, Numerical Analysis, etc).
Maths has several concepts; to solve problems on those concepts, we need to understand those concepts and learn the formulas related to different concepts. You can find the Maths formulas related to all concepts.
Maths Online
There are various simple and advanced concepts in Mathematics. These concepts are taught to students according to their difficulty and complexity level. Basic concepts like numbers, addition, subtraction, multiplication, division, place value, etc are taught to kids first, and later enhanced concepts such as ratios, percentages, algebra, trigonometry, mensuration, etc are taught. Advanced Concepts like Integration and differentiation, Permutation and combination, and Probability, are included in secondary school.
You can find the class-wise Maths syllabus prepared by our GeeksforGeeks expert in the given links.
Branches of Mathematics
Pure Mathematics
This part of mathematics is divided into 6 major sections:
Number Theory
Number theory is an area of mathematics that studies the set of positive whole numbers, such as 1, 2, 3, 4, 5, 6, etc., known as natural numbers.
Number theory makes the connections between various types of numbers easier. In number theory, numbers have been divided into different categories such as:
- Odd Numbers – 1, 3, 5, 7, 9, 11, 13, 15, 17, 19…..
- Even Numbers – 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22 . . .
- Square Numbers – 4, 9, 16, 25, 36, 49, 64, 81,100 . . .
- Cube Numbers – 8, 27, 64, 125, 216, 343, 512 . . .
- Prime Numbers – 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47,53, 59, 61 . . .
- Composite Numbers – 4, 6, 8, 9, 10, 12, 14, 15, 16,18, 20, 21, 22, 24 . . .
- 1 (modulo 4) Numbers – 1, 5, 9, 13, 17, 21, 25, . . .
- 3 (modulo 4) Numbers – 3, 7, 11, 15, 19, 23, 27, . . .
- Triangular Numbers – 3, 6, 10, 15, 21, 28, 36, 45,. . .
- Perfect Numbers – 6, 28, 496, 8128, . . .
- Fibonacci Numbers -1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. . .
Algebra
Algebra is the area of mathematics that helps represent conditions or problems into mathematical expressions. These expressions include variables like x,y, and z and operations like addition, subtraction, multiplication, and division implemented on them.
Geometry
Geometry is the Mathematics section concerned with the dimensions, sizes, angles, and forms of a wide range of items we see every day. There are various types of geometry such as plane geometry, three-dimensional geometry, solid geometry, etc.
Arithmetic
Arithmetic is a branch of mathematics that includes the operations of numbers. This field of mathematics serves as the foundation for students to understand mathematics and implement it in real life.
Combinatorics
A branch of mathematics called combinatorics is concerned with the investigation of finite discrete structures. Enumerations of the sets of elements and the study of permutations and combinations are covered. It describes the characteristics of mathematical relations.
Topology
Topology studies properties of spaces that are invariant under any continuous deformation. Because the objects may be stretched and contracted like rubber sheets yet cannot be broken, it is frequently referred to as “rubber-sheet geometry”.
Mathematical Analysis
The area of mathematics known as analysis is concerned with continuous functions, limits, and associated theories, including measure, differentiation, integration, infinite sequences, and series, as well as analytical functions.
Applied Mathematics
This part of mathematics is divided into 4 major sections:
Calculus
Calculus is a field of mathematics that is concerned with the computation of instantaneous rates of change (differential calculus) and the summing of an infinite number of minor elements to find a single whole.
Statistics and Probability
The two most crucial ideas in mathematics are probability and statistics. Probability is mainly about chance, and statistics, on the other hand, is about how we manage varied data using various methods. It enables in the easy and clear simplification of very complex data. We discuss the probability of various outcomes if we are unsure about how an event will turn out. Statistics is the study of these probabilistically determined occurrences.
Set Theory
This branch of mathematics studies sets, which are basically the collection of things or objects or data.
Trigonometry
Trigonometry is the field of mathematics that deals with certain angles’ functions and how to use such functions in computations. There are six popular trigonometric functions for an angle.
- Sine (sin)
- Cosine (cos)
- Tangent (tan)
- Cotangent (cot)
- Secant (sec)
- Cosecant (csc)
Maths Topics
Here is a list of important topics in Maths, you can click on the topic to learn the topic directly:
How to learn Maths?
Maths is a simple as well as a tricky subject. Maths is fun to explore but tough to excel. At GeeksforGeeks, you can clear all fundamental concepts and build a strong foundation in this subject. When you get a good grip and clear understanding of this subject, your brain will think logically and help you grasp the concepts in all other subjects with excellent efficiency.
We are providing learning materials for students of Class 8 to 12 based on the latest syllabus approved by CBSE. In these classes, students understand the important concepts of Maths, like basic geometry, decimals, algebra, ratio, and proportions, etc. Our experts at GeeksforGeeks have curated the concepts in such an interactive manner for the students which helps students to grasp the basics of any topic in the most efficient way possible.
With the help of animations and creative ways, our experts have tried their level best to ensure that the students in the best way possible understand concepts. The sole purpose is to make maths easy to learn and implement the concepts with ease when solving problems.
Basic Maths
The basics of Maths involve arithmetic operations such as :
- Addition(+)
- Subtraction(-)
- Multiplication(x)
- Division(/)
To grasp these basic concepts most efficiently, students need to practice questions and solve worksheets based on them. Concepts like HCF and LCM, multiples, and factors, will be introduced to students in their secondary classes.
FAQs on the Importance of Mathematics
Q1: Why do we learn Maths?
Answer:
Maths is the foundation of all the subjects and helps us in solving problems in our daily lives.Life around us includes numbers and the applications of Maths.It is used in various fields such as science, engineering,technology and so on.
Q2: Why is Maths so important?
Answer:
Our lives are given structure by mathematics, which also makes things clearer. Learning mathematics enhances our capacity for abstract or spatial thought, creativity, critical analysis, problem-solving, and even effective communication.
Q3: What are the different branches of Maths?
Answer:
The major branches of maths are:
- Number system and basic Arithmetic
- Algebra
- Trigonometry
- Geometry and Cartesian Geometry
- Calculus- Differential and Integral
- Matrix Algebra
- Probability and Statistics
Q4: What are the basic Arithmetic Operations?
Answer:
The basic arithmetic operations are addition,subtraction, multiplication and division.
Q5: What are the different maths resources available at GeeksforGeeks?
Answer:
The different maths resources available at GeeksforGeeks are:
- NCERT Maths Solutions
- RD Sharma Solutions
- CBSE Maths Notes
- Maths Formula Sheet
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Last Updated :
12 May, 2023
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