Dr. A.P.J. Abdul Kalam University, Indore
Scheme of Examination
M.Sc. Mathematics
Semester-I
(w.e.f. July 2016 Onwards)
(Non Grading)
S.No
Sub. Code
Sub. Name
Theory Max. Marks
Practical
Max Marks
Total
Marks
End Sem.
Mid Sem./
Assignment
Average of two
Max
Marks
Min
Marks
Min
Marks
Max
Marks
Min
Marks
1
MSM101T
Advanced Abstract Algebra-I
85
28
05
-
-
100
2
MSM102T
Real Analysis
85
28
05
-
-
100
3
MSM103T
Topology -I
85
28
05
-
-
100
4
MSM104T
Complex Analysis-I
85
28
05
-
-
100
5
MSM105T
(Any one of the following )
Differential Equation I
85
28
05
-
-
100
MSM106T
Advanced Discrete
Mathematics-I
85
28
05
-
-
100
MSM107T
Programming in C-I
50
17
05
-
-
65
MSM107P
Programming in C-I
-
-
-
35
12
100
Total Marks
500
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: I
Subject: Mathematics –I
Title of Paper: Advanced Abstract Algebra-I (Compulsory Paper)
Unit I:
Normal and Subnormal series of groups, Composition Series, Jordan –Holder series.
Unit II:
Solvable and Nilpotent groups.
Unit III:
Extension field, Roots of polynomials, Algebraic and Transcendental Extension, splitting fields
and normal extensions, separable extensions.
Unit IV:
Perfect field, Finite field, Primitive elements, Algebraically closed fields.
Unit:V
Automorphism of extension, Galois extension, Fundamental theorem of Galois theory, Solution
of polynomial solvable by radicals, Insolvability of general equation of degree 5 by radicals.
Book Recommended:
1. I.N.Herstein, Topics in Algebra, Wiley Eastern Ltd., New Delhi, 1975.
2. V.Sahni & V. Bist. Algebra, Narosa Publishing House.
Reference Books:
1.N.Jacobson, Basic Algebra, vols I&II, W.H.Freeman,1980.
2. M.Artin, Algebra, Prentice - Hall of India, 1991.
3. S.Kumaresan, Linear Algebra, A Geometric Approach, Prentice - Hall of India, 2000.
4. D.S.Dummit & R.M.Foote, Abstract Algebra, II Ed, John Wiley & Sons, Inc, New York.
5. P.B. Bhattacharya, S.K. Jain and S.R. Nagpaul. Basic Abstract Algebra Cambridge University
Press.
Dr. A.P.J. Abdul Kalam University, Indore
Class-M.Sc. Mathematics
Semester: I
Subject : Mathematics –II
Title of paper: Real Analysis ( Compulsory Paper )
UNIT-I
Definition and existence of Riemann Stieltjes integral, properties of the integral, Integration and
differentiation, The fundamental theorem of integral calculus, integration by parts, Integration
of vector-valued functions, Rectifiable curves.
UNIT-II
Integration of vector –valued functions, Rectifiable curves, Rearrangement of terms of a series,
Riemann’s theorem.
UNIT-III
Point wise and uniform convergence, Cauchy criterion for uniform convergence ,Weirstrass M-
test, Abel’s test and Dirichlet’s test for uniform convergence, uniform convergence and
continuity, uniform convergence and Riemann Stieltjes integration ,uniform convergence and
differentiation, existence of a real continuous nowhere differentiable function, Weierstrass
approximation theorem, Power series, Uniqueness theorem for power series, Abel’s and Tauberʼs
theorem.
UNIT-IV
Functions of several variables : linear transformations, Derivative in an open subset of R
n
, Chain
rule, Partial derivatives, directional derivatives, derivatives of higher order, the contraction
principle, inverse function theorem, Implicit function theorem, Taylorʼs theorem.
UNIT-V
Implicit function theorem, Jacobians, extremum problems with constraints, Lagrange’s
multiplier method, Differentiation of integrals, Differential forms.
Text Books
1.Walter Rudin,Principales of Mathematical Analysis, McGraw Hill.
Reference Books :
1. T.M. Apostol, Mathematical Analysis, Narosa Publishing House, New Delhi, 1985.
2. Gabriel Klambauer, Mathematical Analysis, Marcel Dekkar, Inc. New York, 1975.
3. A.J. White, Real Analysis; an introduction. Addison-Wesley Publishing Co., Inc.,1968
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: I
Subject: Mathematics –III
Title of Paper: Topology-I (Compulsory Paper)
Unit I
Relations, Countable and uncountable sets, Infinite sets and the Axiom of choice, Cardinal
numbers and their arithmetic, Schroeder-Bernstein theorem, Cantor's theorem and continuum
hypothesis, Zorn's lemma, Well-ordering theorem.
Unit II
Definition and examples of topological space, Closed sets and limit points. Closure of a set,
Dense subset, neighborhoods, Interior, exterior and boundary of a set, Arived set, Bases and
Subbases.
Unit III
Continuous Functions and homeomorphisms. The product topology. The metric topology. The
quotient topology, continuity of a function from a space into a product of spaces.
Unit IV
First and second countable spaces, Separable spaces, Second countability and separability,
Compactness:-definition and examples of compact spaces, compact subspace Connected spaces.
Unit V
Path Connectedness, Connected spaces, Connectedness on real line, Components, Locally
connected spaces. Connectedness and product spaces
Books Recommended :
1. James R. Munkres, Topology (Second edition), Prentice-hall of India
References :
1. George F. Simmons, Introduction to topology and modern analysis, McGraw Hill Book
Company Inc.
2. N. Bourbaki, General topology, Springer-verlag.
3. K.D.Joshi, Introduction to topology, Wiley Eastern.
4. J.L.Kelley, General topology, Affiliated East-West press Pvt Ltd.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: I
Subject: Mathematics –IV
Title of Paper: Complex Analysis-I (Compulsory Paper)
Unit I:
Complex integration, Cauchy 's Theorem , Cauchy's Integral formula, Cauchy Gaursat Theorem ,
Higher ordered derivatives.
Unit II:
Morera's theorem, Liouville's theorem, Fundamental theorem of algebra, Taylor's and Laurentʼs
Theorem.
Unit III:
The Maximum Modulus Principle, Schwarz Lemma, Singular points, singularities, Meromorphic
functions, problems based on Laurent’s series ,Argument Principle, Rouche's theorem.
Unit IV:
Residue theory, evaluation of integrals, Properties and classification.
Unit V:
Bilinear transformation, Fixed points, Gross ratio, Normal form of Bilinear Transformation,
definitions and examples of conformal mappings, Hadamard three circles theorem.
Books Recommended:
1.J.B.Conway : Functions of one Complex variable, Springer-verlag.
2. S.Ponnusamy : Foundations of Complex Analysis, Narosa Pub, `97
References :
1. George F. Simmons, Introduction to topology and modern analysis,
McGraw Hill Book Company Inc.
2. Alfohrs : Complex Analysis
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: I
Subject: Mathematics –V
Title of Paper: Differential Equations-I (Optional Paper)
Unit I
Maximal interval of existence, Extension theorem and corollaries, Kamke's convergence
theorem, Knesser's theorem. (Statement only) Differential inequalities and uniqueness:
Gronwall's inequality, Maximal amd minimal solutions, Differential inequalities.
Unit II
A theorem of Wintner, Uniqueness theorems, Nagumo's and Osgood's criteria.Egres pointsand
Lyapunov functions, Successive approximations, Differential inequalities and Uniqueness
Gronwalls inequality.
Unit III
Initial value problems and the equivalent integral equation . Bassic theorems: Ascoli- Arzela
theorem, a theorem on convergence of solutions of a family of initial value problems. Picard
Lindel of theorem, Peano's existence theorem and corollary
Unit IV:
Linear differential equations : Linear systems, Variation of constants, reduction to smaller
systems, Basic inequalities, constant coefficients, floquet Theory Adjoint system,Higher order
equations .
Unit V:
Floquet theory, adjoint systems, Higher order equations. Dependence on initial conditions and
parameters: Preliminaries, continuity, and differentiability.
Books Recommended :
1. P.Hartman, Ordinary differential equations, John Wiley, 1964.
2. Walter Rudin, Principles of Mathematical Analysis, (3rd edition),
References :
1. W.T.Reid, Ordinary differential equations, John Wiley & sons, New York,1971.
2. E.A.Coddigton & N.Levinson, Theory of ordinary differential equations,
McGraw Hill, NY, 1955.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: I
Subject: Mathematics –V
Title of Paper: Advanced Discrete Mathematics- I (Optional Paper)
Unit I:
Formal logic: statement, Connectives, Tautologies, Normal Forms, ordering Forms, Ordering
and uniqueness of Normal form.
Unit II:
Semigroups and Monoids: definition and examples of Semigroups and Monoids (including those
pertaining to concatenation operation) Homomorphism of semigroups and monoids, Congrument
relation and Quotient Semigroups and Subsemigroups, and submonoids direct products, Basic
homomorphisms theorem.
Unit III:
Lattices: Lattices as partially ordered Sets, their properties, Lattices as algebraic systems,
Sublattices, Direct products and homomorphism, Some special lattices e.g. Complete
Complemented and Distributive Lattices.
Unit IV:
Boolean Algebras: Boolean Algebras as lattices, Various Boolean identities, Sub-algebras, Direct
products and Homomorphism, Join-irreducible elements.
Unit V:
Boolean Functions: Boolean Forms and Free Boolean Algebras, Sum- of -products canonical
forms, Product -of-sum canonical forms, value of Boolean Expressions and Boolean functions,
Representation and minimization of Boolean functions, Application of Boolean algebra to
switching theory( using And, Or and Not gates),The karnaugh map method.
Books Recommended:
1. J.P. Trembly and R. Manohar, Discrete Mathematical Structures with Application to
Computer Science, McGraw-Hills Book Co.,1997
References :
1. C.L. Liu, Elements of Discrete Mathematics, McGraw-Hils Book Co.
2. N. Deo., Graph Theory with Application to Engineering and Computer Sciences, Prentice Hall
of India.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: I
Subject: Mathematics –V
Title of Paper: Programming in C-I (Optional Paper)
Unit I:
An overview of programming languages, Programming Basics: Basic Structure of C
program(First C program), Identifiers, Keywords, Constants, Variables and Arithmetic
expression, Variable names, data Types and Sizes, constants, Scalar Data Types-declarations,
different types of integrals, Different kinds of Integer Constants, Character Constants, Floating
point type Constant, Initialization.
Unit II:
Operators and Expressions- precedence associatively and order of evaluation, unary plus and
minus operators, Arithmetic operators, increment and decrement operators, comma Operators,
relations operators, logical operators, bit-manipulation operators, Bitwise assignment operators
and expressions, Conditional expressions, cast operators, size of operators, conditional operators,
memory operator, Input and Output functions( formatted and unformatted)
Unit III:
Control Flow-Statements and blocks, conditional Branching if, if –else, nested if else, looping:
do while, while and for loop, nested loops.
Unit IV
The break and continue statement, the Goto statement and Labels, exit statement, switch
statement, infinite loop.
Unit V
Type Conversions, Mixing types explicit conversions-casts, enumeration types, void data type,
Typedefs, preprocessor directives, formatting source files, continuation Character, integer and
float conversions , type conversion in assignment.
Books recommended :
1. Brain W Kernigham & Dennis M Ritchie the C programmed Language 2
nd
Edition (ANSI
features), Prentice Hall 1989
References :
1.Samuel P. Harkison and Gly L Steele Jr. C: A Reference manual, 2
nd
Edition Prentice Hall
1984.
Dr. A.P.J. Abdul Kalam University, Indore
Scheme of Examination
M.Sc. Mathematics
Semester-II
(w.e.f. July 2016 Onwards)
(Non Grading)
S.No
Sub.
Code
Sub. Name
Theory Max. Marks
Practical
Max Marks
Total
Marks
End Sem.
Mid Sem./
Assignment
Average of two
Max
Marks
Min
Marks
Max
Marks
Min
Marks
Max
Marks
Min
Marks
1
MSM201T
Advanced Abstract Algebra II
85
28
15
05
-
-
100
2
MSM202T
Lebesgue Measure & Integration
85
28
15
05
-
-
100
3
MSM203T
Topology II
85
28
15
05
-
-
100
4
MSM204T
Complex Analysis II
85
28
15
05
-
-
100
5
MSM205T
(Any one of the following)
Differential Equation II
85
28
15
05
-
-
100
MSM206T
Advanced Discrete Mathematics-
II
85
28
15
05
-
-
100
MSM207T
Programming in C-II
50
17
15
05
-
-
65
MSM207P
Programming in C-II
-
-
-
-
35
12
35
Total Marks
500
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -I
Title of Paper: Advanced Abstract Algebra II (Compulsory Paper)
Unit I:
Modules: Introduction and examples, Submodules and quotient modules, sums, Cyclic Module,
R- Homomorphism and Isomorphism.
Unit II:
Simple and semi-simple modules, free modules, Schurʼs lemma.
Unit III:
Noetherian and Artinian rings and modules, Hilbert Basis Theorem, Power series, Associated
primes, primary decomposition, Weddeburn - Artin theorem.
Unit IV:
Uniform module, Primary modules, Moether – leskar theorem, Fundamental structure theorem
and its application, Abelian groups.
Unit V:
Nilpotent transformations, Index of Nilpotency, Invariant of nilpotent transformation, The
primary decomposition theorem.
Book Recommended:
1. P.B. Bhattacharya, S.K. Jain and S.R. Nagpaul. Basic Abstract Algebra Cambridge
University press(Indian Edition)
Reference Books:
1. I. I.N.Herstein, Topics in Algebra, Wiley Eastern Ltd., New Delhi, 1975.
2. M.Artin, Algebra, Prentice - Hall of India, 1991.
3. N.Jacobson, Basic Algebra, vols I&II, W.H.Freeman, 1980.
4. S.Kumaresan, Linear Algebra, a Geometric Approach, Prentice - Hall of India
5. D.S.Dummit & R.M.Foote, Abstract Algebra, II Ed, John Wiley & Sons, Inc, New York.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -II
Title of Paper: Lebesgue Measure and Integration (Compulsory Paper)
Unit I:
Lebesgue outer measure, measurable sets, Regularity, Measurable functions, Borel and Lebesgue
measurability, Non-measurable sets.
Unit II:
Integration of Non-negative functions, The general integrals, Integration of series, Riemann and
Lebesgue integrals.
Unit III:
The four derivatives, Functions of Bounded variations, Lebesgue Differentiation theorem,
Differentiation and Integration.
Unit IV:
The L
p
-Space, Convex functions, Jensenʼs inequality, Holder and Minkowski inequalities,
Completeness of L
p.
Unit V:
Dual of L
p
(l ≤ p< ∞ ) Convergence in measure, Uniform and almost uniform convergence.
Books Recommended:
1. G. de. Barra, Measure Theory and Integration, Wiley Eastern Limited, 1981.
References:
1. Lebesgue Measure and integration: an introduction, Frank Burk, Wiley Interscience
Publication, 1998.
2. H.L. Royden, Real Analysis (4th edition), Macmillan Publishing Company, 1993.
3. Inder K. Rana, an Introduction to Measure and Integration, Narosa
Publishing House, Delhi, 1997.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -III
Title of Paper: Topology II (Compulsory Paper)
Unit I:
Separation axioms, T 0 , T 1 , T 2 ,T 3 , T 4 ; their characterization and basic properties,
Urysohn's lemma.
Unit II:
Compactness, Continuous functions and compact sets, Basic properties of compactness,
Compactness and finite intersection property, sequentially and Countably compact sets. Local
compactness and one-point compactification, Compactness in metric spaces, Equivalence of
compactness, Countable compactness and Sequential compactness in metric spaces
Unit III:
Tychonoff product topology in terms of standard sub space and its characterizations, Projection
maps, Separation axioms and product spaces, Connectedness and product spaces, Compactness
and product spaces, Countability and product spaces.
Unit IV:
Embedding and metrization Embedding lemma and Tychoroff Embedding The Urisohn
metrization theorem Nets and Fillers: Topology and convergence of nets, Housdorffness and
nets, Compctness and nets, Filers and their convergence, Canonical way of converting nets to
filters and vice-versa, Ultra filters and compactness.
Unit V:
The fundamental group and covering spaces: Homotopy of paths, the fundamental group,
Covering spaces, the fundamental group of the circle and the fundamental theorem of algebra.
Books Recommended:
1. James R. Munkres, Topology (Second edition), Prentice-hall of India
2. George F. Simmons, Introduction to topology and modern analysis, McGraw Hill Book
Company Inc.
References:
1. N. Bourbaki, General topology, Springer-verlag.
2. K.D.Joshi, Introduction to topology, Wiley Eastern.
3. J. L. Kelley, General topology, Affiliated East-West press Pvt Ltd.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -IV
Title of Paper: Complex analysis –II (Compulsory Paper)
Unit I:
Spaces of analytic functions, Hurwitz's theorem, Montel's theorem, Riemann Mapping theorem,
Weierstrass Factorisation theorem.
Unit II:
Gamma function & it's properties, Riemann Zeta function, Riemann's functional equation,
Runge's theorem and Mittag-Leffler's theorem, Relation Between Gamma and Zeta Functions,
Infinite Product.
Unit III:
Analytic continuation, uniqueness of direct analytic continuation and analytic continuation along
a curve, power series method of analytic continuation, Schwartz Reflection Principle, Mean
value Theorem, Poisson Kernel, Problem Based on analytic continuation. .
Unit IV:
Canonical products, Jensen's formula, order of an entire function, exponent of convergence,
Hadamard's factorization theorem, range of an analytic function, Bloch's theorem, The Little
Picard theorem, Schottky's theorem, Great Picard theorem.
Unit V:
Harmonic functions on a disk, Dirichlet problem, Green's function.
Books Recommended:
1. J.B.Conway: Functions of one Complex variable, Springer-verlag.
2. S. Ponnusamy : Foundations of Complex Analysis, Narosa Pub, `97
References:
1. Alfohrs : Complex Analysis
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -V
Title of Paper: Differential equation –II (Optional Paper)
Unit I:
Poincare- Bendixson theory: Autonomous systems, Umlanfsatz, index of a stationary point,
Poincare- Bendixson theorem, and stability of periodic solutions, Rotation Point, foci, nodes and
saddle points.
Unit II
Second Order Boundary Value Problem, Sturm-Liouville boundary value problems, Number of
zeros.
Unit III
Dependence on Initial Conditions and Parameters preliminaries, Nonoscillatory equations and
principal solutions, Nonoscillation theorems.
Unit IV
Linear second order equations: Preliminaries, Basic facts, Theorems of Sturm, Sturm Liouvilie
Boundry value Problem, Number of zeros, No oscillatory Equations and Principal Solutions.
Unit V:
Use of Implicit function and fixed point theorems: Periodic solutions, linear equations, nonlinear
problems, Higher order Differentiability.
Books recommended:
1. P. Hartman, Ordinary differential equations, John Wiley, 1964.
References:
1. W. T. Reid, Ordinary differential equations, John Wiley & sons, New York, 1971.
2. E. A. Coddigton & N. Levinson, Theory of ordinary differential equations,
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -V
Title of Paper: –Advanced Discrete Mathematics-II (Optional Paper)
Unit I
Graph theory: Definition of undirected & directed graph, Simple graph, Multi graph, Isomorphic
graph, Path, Reachability and Connectedness, Simple path, Simple cycle, Unilaterally connected,
Strongly connected.
Unit II
Matrix Representation of Graphs, adjacency matrix, Reachability matrix, Warshalʼs algorithm,
Trees, Directed tree, Terminal node.
Unit III
Grammars and Languages: Phrase-Structure Grammars, Rewriting rules, Derivations, Sentential
Forms, Language generated by Grammar, Regular, Context-free and Context sensitive Grammar
and Languages, Notion of Syntax Analysis, Polish Notation, Conversion of Infix Expressions to
Notations.
Unit IV
Finite State Machine: Introductory Sequential Circuits, Equivalence of Finite State Machines,
Finite-State machines and their transition table diagram, Reduced Machines, Homomorphism.
Unit V:
Introductory Computability Theory: Finite-State Acceptors and Regular Grammars,
Nondeterministic finite automation, Machines and Partial Recursive Functions.
Books recommended :
1. J.P. Trembly and R. Manohar, Discrete Mathematical Structures with Application to
Computer Science, McGraw-Hills Book Co.,1997
References :
1. C.L. Liu, Eleme0nts of Discrete Mathematics, McGraw-Hils Book Co.
2. N. Deo., Graph Theory with Application to Engineering and Computer Sciences, Prentice Hall
of India.
Dr. A.P.J. Abdul Kalam University, Indore
Class: M.Sc. Mathematics
Semester: II
Subject: Mathematics -V
Title of Paper: Programming in C–II (Optional Paper)
Unit I
Functions: Basics and Anatomy of Function: Definition, Declaration & prototypes, calling use
and features of functions, Passing value between function, External variables, Scope rule, call by
value, call by reference(only concept), Static variables, Register variables, Block Structure,
Recursion : need of recursion, types of recursion.
Unit II
Arrays and multidimensional Arrays: array concept and initialization, memory map of 1D and
2D array, storage classes- automatic, extern, static, register, global variable, Command line
arguments.
Unit III
Array of characters, string constant and variable, Character Input/ Output statements, array of
strings, string handling functions, standard library string function strlen(), strcmp(), etc,
Mathematical functions<math.h>.
Unit IV
Pointer: Definition & declaration, Address, pointers and function arguments, pointer & arrays,
Address arithmetic, character pointers and functions, pointer arrays, Initialization of pointer
arrays, pointer to function, use of pointer, malloc(), calloc(), library function.
Unit V:
Structures: Basics of Structures, Structure and Functions, Arrays of Structure, Pointer to
Structure, Self referential structure, Unions.
Books recommended :
1. Brain W Kernigham & Dennis M Ritchie the C programmed Language 2
nd
Edition (ANSI
features), Prentice Hall 1989
References :
1.Samuel P. Harkison and Gly L Steele Jr. C: A Reference manual, 2
nd
Edition Prentice Hall
1984.
Dr. A.P.J. Abdul Kalam University, Indore
Scheme of Examination
M.Sc. Mathematics
Semester-III
(w.e.f. July 2017 Onwards)
(Non Grading)
S.No
Sub. Code
Sub. Name
Theory Max. Marks
Practical
Max Marks
Total
Marks
End Sem.
Mid Sem./
Assignment
Average of two
Max
Marks
Min
Marks
Max
Marks
Min
Marks
Max
Marks
Min
Marks
1.
MSM301T
Functional Analysis-I
85
28
15
05
-
-
100
2.
MSM302T
Advanced Special Function-I
85
28
15
05
-
-
100
3.
MSM303T
Theory of Linear Operators-I
85
28
15
05
-
-
100
4.
MSM304T
Advanced Numerical analysis-I
85
28
15
05
-
-
100
5.
MSM305T
(Optional Paper)
Operation Research-I
85
28
15
05
-
-
100
MSM306T
Analytic Number Theory-I
85
28
15
05
-
-
100
MSM307T
Integral Transform-I
85
28
15
05
-
-
100
MSM308T
Fundamental of Computer
Science (Theory)-I
50
17
15
05
-
-
65
MSM308P
Fundamental of Computer
Science (Practical)-I
-
-
-
-
35
12
35
MSM309T
Integration Theory-I
85
28
15
05
-
-
100
Total Marks
500
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Scheme of Examination
M.Sc. Mathematics
Semester-IV
(w.e.f. July 2017 Onwards)
(Non Grading)
S.No
Sub. Code
Sub. Name
Theory Max. Marks
Practical
Max Marks
Total
Marks
End Sem.
Mid Sem./
Assignment
Average of two
Max
Marks
Min
Marks
Max
Marks
Min
Marks
Max
Marks
Min
Marks
1
MSM401T
Functional Analysis-II
85
28
15
05
-
-
100
MSM402T
Advanced Special Function-II
85
28
15
05
-
-
100
2
MSM403T
Theory of Linear Operators-II
85
28
15
05
-
-
100
4
MSM404T
Advanced Numerical analysis-II
85
28
15
05
-
-
100
5
MSM405T
(Optional Paper)
Operation Search II
85
28
15
05
-
-
100
MSM406T
Analytic Number Theory-II
85
28
15
05
-
-
100
MSM407T
Integral Transform-II
85
28
15
05
-
-
100
MSM408T
Fundamental of Computer
Science (Theory)-II
50
17
15
05
-
-
65
MSM408P
Fundamental of Computer
Science (Practical)-II
-
-
-
-
35
12
35
MSM409T
Spherical Trigonometry and
Astronomy
85
28
15
05
-
-
100
Job Oriented Project work
100
33
100
Total Marks
600
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore
Dr. A.P.J. Abdul Kalam University, Indore