{"id":54,"date":"2024-04-17T07:50:28","date_gmt":"2024-04-17T07:50:28","guid":{"rendered":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/?page_id=54"},"modified":"2024-04-17T07:50:28","modified_gmt":"2024-04-17T07:50:28","slug":"mains-syllabus-of-csir-net-mathematical-sciences-exam-2024","status":"publish","type":"page","link":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/mains-syllabus-of-csir-net-mathematical-sciences-exam-2024\/","title":{"rendered":"Mains Syllabus of csir net mathematical sciences Exam 2024"},"content":{"rendered":"<p>The <a href=\"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences\">CSIR NET MATHEMATICAL SCIENCES<\/a> exam is a national-level exam conducted by the Council of Scientific and Industrial Research (CSIR) for the recruitment of scientists and engineers in various government and private organizations. The exam is held twice a year, in June and December.<\/p>\n<p>The syllabus for the CSIR NET Mathematical Sciences exam is divided into two parts: Paper I and Paper II. Paper I is a compulsory paper for all candidates, while Paper II is optional. Paper I consists of 100 multiple choice questions, while Paper II consists of 50 multiple choice questions and 50 short answer questions.<\/p>\n<p>The syllabus for Paper I is as follows:<\/p>\n<ul>\n<li>Linear Algebra: Matrices, determinants, eigenvalues and eigenvectors, systems of linear equations, linear transformations, inner <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> product spaces, and orthogonality.<\/li>\n<li>Calculus: Limits, , integrals, infinite series, differential equations, and multivariable calculus.<\/li>\n<li><a href=\"https:\/\/exam.pscnotes.com\/probability\">Probability<\/a> and Statistics: Random variables, probability distributions, probability density functions, cumulative distribution functions, expected value, <a href=\"https:\/\/exam.pscnotes.com\/variance\">Variance<\/a>, standard deviation, moments, and central limit theorem.<\/li>\n<li>Mathematical Analysis: Real analysis, complex analysis, and differential equations.<\/li>\n<li>Abstract Algebra: Groups, rings, fields, and polynomials.<\/li>\n<li>Geometry: Euclidean geometry, analytic geometry, and differential geometry.<\/li>\n<li>Number Theory: Integers, rational numbers, real numbers, complex numbers, and cryptography.<\/li>\n<\/ul>\n<p>The syllabus for Paper II is as follows:<\/p>\n<ul>\n<li>Functional Analysis: Hilbert spaces, Banach spaces, and linear operators.<\/li>\n<li>Differential Geometry: Manifolds, tangent spaces, and curvature.<\/li>\n<li>Algebraic Geometry: Varieties, schemes, and divisors.<\/li>\n<li>Number Theory: Algebraic number theory, analytic number theory, and cryptography.<\/li>\n<li>Combinatorics: Graph theory, probability theory, and algorithms.<\/li>\n<li>Mathematical Physics: Classical mechanics, quantum mechanics, and statistical mechanics.<\/li>\n<\/ul>\n<p>The CSIR NET Mathematical Sciences exam is a difficult exam, and it is important to prepare well for it. There are a number of books and online <a href=\"https:\/\/exam.pscnotes.com\/resources\">Resources<\/a> available for preparation. It is also important to practice solving past year papers.<\/p>\n<p>The CSIR NET Mathematical Sciences exam is a good opportunity for those who want to pursue a career in research or <a href=\"https:\/\/exam.pscnotes.com\/teaching\">TEACHING<\/a> in mathematics or a related field. The exam is also a good way to get a government job in a scientific or technical organization.<\/p>\n<p>The following are some tips for preparing for the CSIR NET Mathematical Sciences exam:<\/p>\n<ul>\n<li>Start preparing early. The exam is held twice a year, so you have enough time to prepare.<\/li>\n<li>Make a study plan and stick to it.<\/li>\n<li>Practice solving past year papers.<\/li>\n<li>Use good books and online resources for preparation.<\/li>\n<li>Get help from a tutor or a friend if you need it.<\/li>\n<li>Stay calm and confident on the day of the exam.<\/li>\n<\/ul>\n<p>The <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div> CSIR NET Mathematical Sciences exam is a challenging exam, but it is not impossible to crack. With hard work and dedication, you can achieve success in the exam.<\/p>\n<p>Here are some frequently asked questions and short answers on the Mains Syllabus of CSIR NET Mathematical Sciences Exam 2024:<\/p>\n<ol>\n<li>\n<p>What is the syllabus for the CSIR NET Mathematical Sciences Exam 2024?<br \/>\nThe syllabus for the CSIR NET Mathematical Sciences Exam 2024 is as follows:<\/p>\n<\/li>\n<li>\n<p>Algebra: Groups, rings, fields, modules, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, Galois theory.<\/p>\n<\/li>\n<li>Calculus: Limits, derivatives, integrals, infinite series, differential equations, multivariable calculus.<\/li>\n<li>Probability and Statistics: Random variables, probability distributions, expectation, variance, covariance, correlation, hypothesis testing, linear regression.<\/li>\n<li>Linear Algebra: Matrices, determinants, eigenvalues and eigenvectors, linear transformations, inner product spaces, singular value decomposition.<\/li>\n<li>Geometry: Euclidean geometry, analytic geometry, differential geometry, topology.<\/li>\n<li>Number Theory: Integers, rational numbers, real numbers, complex numbers, polynomials, Diophantine equations, prime numbers, cryptography.<\/li>\n<li>Combinatorics: Permutations, combinations, probability, graph theory, coding theory.<\/li>\n<li>Mathematical Analysis: Sequences and series, convergence, differentiation, integration, infinite products, power series, Fourier series.<\/li>\n<li>Differential Equations: Ordinary differential equations, partial differential equations, initial value problems, boundary value problems.<\/li>\n<li>Mathematical Physics: Classical mechanics, electromagnetism, quantum mechanics, statistical mechanics.<\/li>\n<li>Numerical Methods: Numerical analysis, linear algebra, differential equations, optimization, statistics.<\/li>\n<li>\n<p>Computer Science: Algorithms, data structures, programming languages, operating systems, computer networks, <a href=\"https:\/\/exam.pscnotes.com\/artificial-intelligence\">Artificial Intelligence<\/a>.<\/p>\n<\/li>\n<li>\n<p>What are the eligibility criteria for the CSIR NET Mathematical Sciences Exam 2024?<br \/>\nThe eligibility criteria for the CSIR NET Mathematical Sciences Exam 2024 are as follows:<\/p>\n<\/li>\n<li>\n<p>Candidates must have a Master&#8217;s degree in Mathematics or a related subject from a recognized university.<\/p>\n<\/li>\n<li>Candidates must have a minimum of 55% marks in the Master&#8217;s degree examination.<\/li>\n<li>\n<p>Candidates must have cleared the <a href=\"https:\/\/exam.pscnotes.com\/csir-ugc-net\">CSIR UGC NET<\/a> JRF\/<a href=\"https:\/\/exam.pscnotes.com\/slet\">SLET<\/a>\/<a href=\"https:\/\/exam.pscnotes.com\/gate\">Gate<\/a> examination or any other equivalent examination.<\/p>\n<\/li>\n<li>\n<p>What is the exam pattern for the CSIR NET Mathematical Sciences Exam 2024?<br \/>\nThe exam pattern for the CSIR NET Mathematical Sciences Exam 2024 is as follows:<\/p>\n<\/li>\n<li>\n<p>The exam will be conducted in two papers, Paper I and Paper II.<\/p>\n<\/li>\n<li>Paper I will be of 100 marks and will be of 2 hours duration.<\/li>\n<li>Paper II will be of 150 marks and will be of 3 hours duration.<\/li>\n<li>Both the papers will be objective type in nature.<\/li>\n<li>\n<p>There will be negative marking for wrong answers.<\/p>\n<\/li>\n<li>\n<p>What are the important topics for the CSIR NET Mathematical Sciences Exam 2024?<br \/>\nThe important topics for the CSIR NET Mathematical Sciences Exam 2024 are as follows:<\/p>\n<\/li>\n<li>\n<p>Algebra: Groups, rings, fields, modules, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, Galois theory.<\/p>\n<\/li>\n<li>Calculus: Limits, derivatives, integrals, infinite series, differential equations, multivariable calculus.<\/li>\n<li>Probability and Statistics: Random variables, probability distributions, expectation, variance, covariance, correlation, hypothesis testing, linear regression.<\/li>\n<li>Linear Algebra: Matrices, determinants, eigenvalues and eigenvectors, linear transformations, inner product spaces, singular value decomposition.<\/li>\n<li>Geometry: Euclidean geometry, analytic geometry, differential geometry, topology.<\/li>\n<li>Number Theory: Integers, rational numbers, real numbers, complex numbers, polynomials, Diophantine equations, prime numbers, cryptography.<\/li>\n<li>Combinatorics: Permutations, combinations, probability, graph theory, coding theory.<\/li>\n<li>Mathematical Analysis: Sequences and series, convergence, differentiation, integration, infinite products, power series, Fourier series.<\/li>\n<li>Differential Equations: Ordinary differential equations, partial differential equations, initial value problems, boundary value problems.<\/li>\n<li>Mathematical Physics: Classical mechanics, electromagnetism, quantum mechanics, statistical mechanics.<\/li>\n<li>Numerical Methods: Numerical analysis, linear algebra, differential equations, optimization, statistics.<\/li>\n<li>\n<p>Computer Science: Algorithms, data structures, programming languages, operating systems, computer networks, artificial intelligence.<\/p>\n<\/li>\n<li>\n<p>What are the best books for the CSIR NET Mathematical Sciences Exam 2024?<br \/>\nThe best books for the CSIR NET Mathematical Sciences Exam 2024 are as follows:<\/p>\n<\/li>\n<li>\n<p>For Algebra: &#8216;Algebra&#8217; by Thomas Hungerford, &#8216;Abstract Algebra&#8217; by Dummit and Foote, &#8216;Modern Algebra&#8217; by Serge Lang.<\/p>\n<\/li>\n<li>For Calculus: &#8216;Calculus&#8217; by Thomas Apostol, &#8216;Calculus&#8217; by James Stewart, &#8216;Calculus&#8217; by Michael Spivak.<\/li>\n<li>For Probability and Statistics: &#8216;Probability and Statistics for<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>The CSIR NET MATHEMATICAL SCIENCES exam is a national-level exam conducted by the Council of Scientific and Industrial Research (CSIR) for the recruitment of scientists and engineers in various government and private organizations. The exam is held twice a year, in June and December. The syllabus for the CSIR NET Mathematical Sciences exam is divided &#8230; <a title=\"Mains Syllabus of csir net mathematical sciences Exam 2024\" class=\"read-more\" href=\"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/mains-syllabus-of-csir-net-mathematical-sciences-exam-2024\/\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/pages\/54"}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/comments?post=54"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/pages\/54\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/csir-net-mathematical-sciences-exam\/wp-json\/wp\/v2\/media?parent=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}