Code360 powered by Coding Ninjas X Naukri.com. Code360 powered by Coding Ninjas X Naukri.com
Last updated: Apr 29, 2022

Engineering Mathematics

This blog series is about the basic mathematics that is a fundamental and essential component in all streams of undergraduate studies in sciences and engineering. The blog series consists of topics in set theory, functions, logic & propositional, relations, boolean algebra, binary trees, graph theory, probability theory, linear algebra, calculus, probability and distributions, numerical methods & statistics, and differential equations with applications to various engineering problems.

Graph Theory

Graphs are discrete mathematical structures that have many applications in a diversity of fields including chemistry, network analysis, algorithms, and social sciences. Graph Theory is the study of the graph. A graph is determined as a mathematical structure that represents a particular function by connecting a set of points. It is used to create a pairwise relationship between objects.
Graph Types and Applications EASY
This blog will discuss types of Graphs and applications of Graphs.
Graph Representations EASY
Graph representations are crucial for efficiently storing and manipulating graphs. This article will briefly describe how the graph is represented.
Euler and Hamilton paths
In this article, We will discuss Euler's Path, Euler Circuits, Euler circuit's theorem, Hamilton's Path with some examples.
Isomorphic and homeomorphic graphs
This blog will discuss Isomorphic graphs and homeomorphic graphs, examples, and detailed explanations.
Planar and Non-Planar Graphs
In this blog, we will learn about two main types of graphs, i.e., planar and non-planar graphs with examples and properties, and we will also learn about graph coloring with examples.
Matching in Graph Theory
In this article, we will learn about matching in Graph theory.
Strongly Connected Components EASY
A strongly connected component of a directed graph is a maximal subgraph in which every vertex is reachable from every other vertex in that subgraph.
Regular and Bipartite graphs
In this blog, we will learn about different types of graphs, including a complete chart, regular graph, bipartite graph, and complete bipartite graph, and we will also learn about the Euler path.
Centrality Measure in Graph Theory
In this post, we will learn different centrality measures used in Graph theory.
Graph Measurements
In this article, we will learn different Graph measurement methods.

Calculus

Calculus is one of the most important branches of mathematics that deals with continuous change. The two major concepts that calculus is based on are derivatives and integrals. The derivative of a function is the measure of the rate of change of a function, while the integral is the measure of the area under the curve of the function. Let’s together explore more about Limits, Continuity, and Differentiability, Cauchy’s Mean Value Theorem, Lagrange’s Mean Value Theorem, and Rolle’s Mean Value Theorem.
Limits, Continuity and Differentiability
In this article, we are going to discuss the concepts of limits, continuity and differentiability in detail.
Cauchy's Mean Value Theorem EASY
This article discusses Cauchy's Mean Value Theorem.
Lagrange’s Mean Value Theorem
This article discusses Lagrange's Mean Value Theorem the conditions required for it to hold along its applications.
Rolle's mean value theorem
In this article, we will discuss Rolle's mean value theorem
Inverse functions EASY
This article discusses the theory of inverse functions and how to find them.
Indefinite Integrals
This blog mainly focuses on Indefinite Integrals. You will learn every concept regarding the indefinite integrals starting from scratch. This blog covers definitions, different properties, fundamental formulas and some important examples.

Linear Algebra

Linear Algebra is one of the important branches of Mathematics. Linear algebra is basically the study of linear functions. It is a key concept for almost all areas of mathematics. The most important topics covered in linear algebra include Determinants, Matrix, Linear Transformations, EigenValue and Eigenvectors, System of Linear Equations, Doolittle Algorithm, Cayley-Hamilton Theorem, and Reduction to diagonal form.
Determinants
In this blog, we will learn about determinants, how to calculate determinants and their different properties.
Matrix
In this blog, we will discuss matrix, properties, transpose of a matrix, adjoint, application, operations can perform on matrix, and much more with a full explanation.
Types of Matrix
 In this blog, we will learn types of matrices with a proper explanation and their examples.
Operations On Matrices EASY
In this blog, we will be discussing various operations that can be performed on matrices and their associated properties.
Rank of Matrix
Meta Description: In this blog, we are going to learn about the concept of matrices. We will discuss the rank of a matrix in detail.
Transpose of a Matrix
This article will cover the Transpose of a matrix, its properties, and its Examples.
Adjoint and Inverse of a Matrix
This blog will discuss the Adjoint and Inverse of a matrix with a full explanation.
Linear Transformations EASY
In this article, we will discuss the linear transformation of matrices
System of Linear Equations
In this blog, we will learn about the system of linear equations.
Gaussian Elimination to Solve Linear Equations MEDIUM
Gaussian elimination is like a step-by-step trick to solve a bunch of math problems where you have a bunch of equations. Let's explore how the gaussian elimination method helps us find the solutions to the linear equations
Reduction of Matrix to Diagonal Form EASY
This article will show the Reduction of the Matrix to Diagonal Form will all the steps.

Numerical Methods & Statistics

Statistics is more about how we handle various data using different techniques. It helps to represent complicated data in a very easy and understandable way. Statistics has a huge application nowadays in data science professions. In upcoming blogs, we’re going to learn about Mean, Variance, Standard Deviation, Exponential Distribution, Covariance and Correlation, Homogeneous Poisson Process, and Non-Homogeneous Poisson Process.
Mean, variance, standard deviation
In this article, we will discuss mean, variance, and standard deviation.
Exponential Distribution
In this article, we will discuss the exponential distribution topic.
Covariance and Correlation EASY
Covariance and Correlation are two opposite terms used in statistics and regression analysis. In this article, we will learn about Covariance and Correlation.
Confidence Intervals in Inferential Statistics MEDIUM
This article will discuss the confidence intervals in inference statistics, why they are essential, how to calculate them, and the proper interpretation of the confidence intervals examples.
Homogeneous Poisson Process
In this blog, we will learn about the Homogeneous Poisson Process and its uses in real life.
Nonhomogeneous Poisson Process EASY
Nonhomogeneous Poisson process model represents the number of failures experienced up to time t. In this article, we will learn about the Nonhomogeneous Poisson process.
Scales of Measurements
In this blog, we will learn about the scales of measurement and different types of scales.