Foundation Course<\/strong><\/h3>\nFoundation Course \/ Core (Subject Centric):<\/strong> Student can choose either Foundation course paper or Core (Subject Centric) paper. Once the choice between Foundation Course \/ Core (Subject Centric) is made by the candidate, it can not be changed in Semester IV.<\/p>\nFoundation Course:<\/strong><\/h4>\n1. Candidate can opt for any one foundation course paper as shown below in the semester III and IV (Semester V & VI in case of M. Sc. (Tech) Applied Geology). However, Student shall opt for this paper from any subject other than his \/ her main subject for postgraduation (Ex. A candidate pursuing M. Sc. Mathematics can opt for foundation
\ncourse papers mentioned in other M. Sc. Subjects except papers mentioned under M. Sc. Mathematics). If the candidate decides to opt for foundation course papers then he\/she shall not be eligible to opt for Core (Subject Centric) papers in their respective subjects.<\/p>\n
2. Once the candidate chooses foundation course paper of any one subject, then he \/ she can not change the subject in semester IV. Ex. If a M. Sc. Biochemistry candidate has chosen foundation course paper from M. Sc. Mathematics, then he has to pursue the foundation course paper of M. Sc. Mathematics in Semester IV also.<\/p>\n
RTMNU Revised MSc Mathematics\u00a0 Syllabus 2021<\/strong><\/h3>\nSemester-III<\/strong>
\nPAPER XV : FOUNDATION (For Students other than Mathematics )<\/strong>
\nPaper \u2013 XV (Code: 3T5)<\/strong>
\nMATHEMATICS-I<\/strong>
\nElementary Mathematics<\/strong><\/h3>\nUnit 1:<\/strong><\/h4>\nDifferentiation: Derivative of a constant function, derivative of trigonometric functions, derivative of inverse trigonometric functions, derivative of = , hyperbolic function, derivation of parametrically defined functions, logarithmic differentiation.<\/p>\n
Unit 2:<\/strong><\/h4>\nIntegration: Methods of integration, integration by substitution, three important forms of integrals, six important integrals, integration by parts, definite integrals, reduction formulae.<\/p>\n
Unit 3:<\/h4>\n
Matrices & Determinant: Transpose of matrix, orthogonal matrices, unitary matrices, Hermitian and Skew-Hermitian matrices, idempotent matrix, Involutory matrix, minors and factors, properties of determinants, determinants-general treatment, symmetric & Skew-symmetric determinant.<\/p>\n
Unit 4:<\/h4>\n
Complex Number: Definition, conjugate, modulus and argument, Algebra of complex number (Addition, Subtraction, Multiplication and Division), power and square root of complex number, properties of complex number, Argand diagram, solution of quadratic equation in complex number system.<\/p>\n
Text Books:<\/h4>\n
1. Differential Calculus by Shanti Narayan (Unit 1 & Unit 2)
\n2. An Introduction to Matrices by S.C. Gupta (Unit 3 & Unit 4)<\/p>\n
RTMNU Revised MSc Mathematics\u00a0 Syllabus 2021<\/strong><\/h3>\nM. Sc. Mathematics<\/strong>
\nSemester-IV<\/strong>
\nPAPER XX : FOUNDATION (For Students other than Mathematics )<\/strong>
\nPaper \u2013 XX (Code: 4T5)<\/strong>
\nMATHEMATICS-II<\/strong>
\nElementary Discrete Mathematics<\/strong><\/h3>\nUnit 1:<\/h4>\n
Mathematical Logic: Introduction, Proposition, compound Proposition, Proposition and truth tables, logical equivalence, algebra of Proposition, conditional Proposition, converse, contra positive & inverse, bi conditional statement, negation of compound statements, tautologies & contradictions, normal forms, logic in proof.<\/p>\n
Unit 2:<\/h4>\n
Latice: Lattice as partially ordered sets, their properties, lattices as a\u0000gebraic ystem, sub lattices, and some special lattices eg. Complete, complemented and distributive lattices.<\/p>\n
Unit 3:<\/strong><\/h4>\nBoolean algebra and Logic Circuits: Boolean algebra, basic operations, Boolean functions, De-Morgan\u2019s theorem, logic gate, sum of products and product of sum forms, normal form, expression of Boolean function as a canonical form, simplification of Boolean expression by algebraic method, Boolean expression form logic & switching network.<\/p>\n
Unit 4:<\/strong><\/h4>\nGraph Theory: Basic terminology, simple graph, multigraph, degree of a vertex, types of a graph, sub graphs of isomorphic graphs, matrix representation of graphs, Euler\u2019s theorem on the existence of Eulerian path & circuits, directed graph, weighted graphs, strong connectivity, chromatic number.<\/p>\n
Text Book:<\/strong><\/h4>\nDiscrete Mathematical structures with applications to computer science by J.P.
\nTremblay and R. Manohar, McGraw-Hill book company,1997.<\/p>\n","protected":false},"excerpt":{"rendered":"
RTMNU Revised MSc Mathematics\u00a0 Syllabus 2021 RTMNU\u00a0 Revised MSc Mathematics Syllabus 2021| Nagpur University M.Sc Mathematics Syllabus | RTMNU Second\u00a0 Year M.Sc Mathematics\u00a0 Syllabus\u00a0 RTMNU Revised MSc Mathematics Syllabus 2021 Nagpur University New Syllabus 2021 is available for Downloading. The latest RTMNU Revised Msc Mathematics\u00a0 Syllabus 2021 is published by Nagpur University. The students looking […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,6],"tags":[],"class_list":["post-822","post","type-post","status-publish","format-standard","hentry","category-rtmnu-summer-result","category-rtmnu-syllabus"],"_links":{"self":[{"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/posts\/822","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/comments?post=822"}],"version-history":[{"count":0,"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/posts\/822\/revisions"}],"wp:attachment":[{"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/media?parent=822"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/categories?post=822"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mahabharti.in\/university\/wp-json\/wp\/v2\/tags?post=822"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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