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  #2  
24th May 2018, 07:45 AM
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Re: Kurukshetra University Msc Maths Syllabus

Can you provide me the syllabus of Master of Science in Mathematics Program offered by Department of Mathematics, K.U.K (Kurukshetra University, Kurukshetra)?
  #3  
24th May 2018, 08:02 AM
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Join Date: Aug 2012
Re: Kurukshetra University Msc Maths Syllabus

The syllabus of Master of Science in Mathematics Program offered by Department of Mathematics, K.U.K (Kurukshetra University, Kurukshetra) is as follows:

SEMESTER I

MSM 101: ABSTRACT ALGEBRA
The concept of a group is surely one of the central ideas of mathematics. The main aim of this course is to introduce Sylow theory and some of its applications to groups of smaller orders. An attempt has been made in this course to strike a balance between the different branches of group theory, abelian groups, nilpotent groups, finite groups , infinite groups and to stress the utility of the subject. A study of Modules, submodules, quotient modules, finitely generated modules etc. is also promised in this course. Hilbert basis theorem and Wedderburn -Artin theorem are the heighlights of this course.

MSM-102: COMPLEX ANALYSIS
One objective of this course is to develop the parts of the theory that are prominent in applications of the complex numbers. Other objective is to furnish an introduction to applications of residues and conformal mapping. With regard to residues, special emphasis is given to their use in evaluating real improper integrals, finding inverse Laplace transforms, and locating zeros of functions. Conformal mapping find its use in solving boundary value problems that arise in studies of heat conduction, fluid flow and elastodynamics.

MSM 103: ORDINARY DIFFERENTIAL EQUATIONS
This course has been framed to learn the theory of ordinary differential equations. Existence and uniqueness theory of solution of an ordinary differential equation and of an initial value problem is to be learnt during the course. Theory of homogeneous and non-homogeneous linear differential equations of higher order, Adjoint equations and Wronskian theory are also learnt during the course. Students will also learn second order ordinary differential equations and Sturm theory, Oscillation theory, boundary value problems and Greens functions in the context of such differential equations. On completion of the course, a student will be able to understand the theory of ordinary differential equations of 2nd and higher order and to know the techniques of solving them.

MSM 104: REAL ANALYSIS
This course has been developed to introduce some fundamental topics of mathematical analysis which are directly relevant in some other papers of M.Sc. Mathematics course. In this course the students will be taught Riemann Stieltjes integral, uniform convergence of sequences and series of functions, and functions of several variables.
MSM 105: TOPOLOGY
This course is a systematic exposition of the part of general topology which has proven useful in several branches of mathematics. Starting from the statements of Axiom of choice, Zorns lemma, Well ordering theorem and Continnum hypothesis, we move on to the introduction of topological spaces and their properties. Some of the main topics taught in this course include Product and Quotient spaces, Embedding and Metrization, Compactness, Continuity and Filters.

MSM 106: PRACTICAL-I
This course is in continuation to the paper on numerical methods that students study during their graduate course. ANSI-C programming makes a part of that paper but students restrict themselves only to the theoretical knowledge. Hence, the objective of this course is to acquaint the students with the practical use of ANSI-C, for solving some problems of social and mathematical kind. Also some problem solving techniques based on papers MSM 101 to MSM 105 will be taught.

MSM 107: SEMINAR-I
In this course a student will learn to select the topic amongst syllabi of other courses prescribed in this semester. A student will learn to collect, review and to understand the literature and to present the contents of the topic so chosen. After the completion of this course the student will get an exposure towards self-study and enhancement of presentation skills.


Syllabus Master of Science in Mathematics Department of Mathematics, (Kurukshetra University)



  #4  
12th September 2019, 11:14 AM
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Re: Kurukshetra University Msc Maths Syllabus

Hi buddy here I am searching for c so will you plz let me know from where I can do download its progrsm syllabus ??
  #5  
12th September 2019, 11:15 AM
Super Moderator
 
Join Date: Aug 2012
Re: Kurukshetra University Msc Maths Syllabus

As you are asking for Kurukshetra University M.Sc. Mathematics syllabus so on your demand I am providing same here :

LEARNING OBJECTIVES AND OUTCOMES OF DIFFERENT COURSES
SEMESTER I

MSM 101: ABSTRACT ALGEBRA
The concept of a group is surely one of the central ideas of mathematics. The main aim of this course
is to introduce Sylow theory and some of its applications to groups of smaller orders. An attempt has
been made in this course to strike a balance between the different branches of group theory, abelian
groups, nilpotent groups, finite groups , infinite groups and to stress the utility of the subject. A study
of Modules, submodules, quotient modules, finitely generated modules etc. is also promised in this
course. Hilbert basis theorem and Wedderburn -Artin theorem are the heighlights of this course.
MSM-102: COMPLEX ANALYSIS
One objective of this course is to develop the parts of the theory that are prominent in applications of
the complex numbers. Other objective is to furnish an introduction to applications of residues and
conformal mapping. With regard to residues, special emphasis is given to their use in evaluating real
improper integrals, finding inverse Laplace transforms, and locating zeros of functions. Conformal
mapping find its use in solving boundary value problems that arise in studies of heat conduction, fluid
flow and elastodynamics.
MSM 103: ORDINARY DIFFERENTIAL EQUATIONS
This course has been framed to learn the theory of ordinary differential equations. Existence and
uniqueness theory of solution of an ordinary differential equation and of an initial value problem is to
be learnt during the course. Theory of homogeneous and non-homogeneous linear differential equations
of higher order, Adjoint equations and Wronskian theory are also learnt during the course. Students will
also learn second order ordinary differential equations and Sturm theory, Oscillation theory, boundary
value problems and Greens functions in the context of such differential equations. On completion of the
course, a student will be able to understand the theory of ordinary differential equations of 2nd and
higher order and to know the techniques of solving them.
MSM 104: REAL ANALYSIS
This course has been developed to introduce some fundamental topics of mathematical analysis which
are directly relevant in some other papers of M.Sc. Mathematics course. In this course the students will
be taught Riemann Stieltjes integral, uniform convergence of sequences and series of functions, and
functions of several variables.
MSM 105: TOPOLOGY
This course is a systematic exposition of the part of general topology which has proven useful in
several branches of mathematics. Starting from the statements of Axiom of choice, Zorns lemma, Well
ordering theorem and Continnum hypothesis, we move on to the introduction of topological spaces and
their properties. Some of the main topics taught in this course include Product and Quotient spaces,
Embedding and Metrization, Compactness, Continuity and Filters.
MSM 106: PRACTICAL-I
This course is in continuation to the paper on numerical methods that students study during their
graduate course. ANSI-C programming makes a part of that paper but students restrict themselves only
to the theoretical knowledge. Hence, the objective of this course is to acquaint the students with the
practical use of ANSI-C, for solving some problems of social and mathematical kind. Also some
problem solving techniques based on papers MSM 101 to MSM 105 will be taught.
MSM 107: SEMINAR-I
In this course a student will learn to select the topic amongst syllabi of other courses prescribed in this
semester. A student will learn to collect, review and to understand the literature and to present the
contents of the topic so chosen. After the completion of this course the student will get an exposure
towards self study and enhancement of presentation skills.
Attached Files
File Type: pdf Kurukshetra University M.Sc. Mathematics syllabus.pdf (110.6 KB, 316 views)


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