csirnet math syllabus

CSIR-NET Syllabus for Mathematical Sciences

CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship COMMON SYLLABUS FOR PART ‘B’ AND ‘C’ MATHEMATICAL SCIENCES UNIT –  1 Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel

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Random variables and Probability Distribution Functions

To understand random variable first you have to know about events.  I will make you understand using examples. What are events? Example Tossing three coins on which one head turns up {HT,HH} A random variable quantify   events of  occurence. In other words, a random variable X is a function from set of events to real

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USB Installer

Create Bootable Pendrive and Install Ubuntu

Ubuntu only provides an iso image of the operating system and you need to make a pen drive bootable to install ubuntu. I will show  step-by-step how to make a pen drive bootable using  USB Installer. Step-1 Download USB installer  using this link  https://universal-usb-installer.en.uptodown.com/windows and keep in pendrive. Step-2 Download Ubuntu operating system  using this

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Divide and Conquer and Dynamic Programming Algorithms

Often students get confused what are differences between divide and conquer and dynamic programming. Since they solve problems in similar nature. Divide the problem into sub-problems combine them to get solution. Here I list the differences  between divide and conquer and dynamic programming in a table and also  made quizzes so that you can practice

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Mathematics for Machine Learning

Mathematics is an essential part for machine learning  without maths it is hard to get into core concepts. In addition, machine learning uses concepts from different branches, however, these branch of mathematics are the backbone of the machine learning. 1- Linear Algebra Matrix, Vector Spaces and Linear Transformations, Eigen Values and Eigen Vectors ( Principle

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operating system

Operating System

An Operating System is a system software which uses the software and hardware resources and provides an environment for application programs to execute appropriately.     Operating System Types 1.  Distributed Operating System With a distributed system, memory and clock are not shared by processors.     2. Real Time Systems In this type of

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