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  #1  
Old June 26th, 2013, 03:12 PM
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Default AU M.Sc OD Application Form

Will you provide the Original Degree form for M.SC of Andhra University?
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  #2  
Old June 27th, 2013, 05:43 PM
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Join Date: Dec 2011
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Default Re: AU M.Sc OD Application Form

As you want to get the application form for Original Degree for M.SC of Andhra University, so here I am providing the following Form:

Now I want to provide the procedure that where you will get the Original Degree Form and some other forms on the official website of the university.

So firstly you have to visit the homepage of the website.

There is a link named ‘Examinations’ in the left side of the page in Administration Section.

When you will click on the link, you will reach on a new page and the page will look like the screen shot:


On this page, there is a link named ‘Exams Applications’ in then left side of the page.

When you will click on the link, you will get a new page and the page will look like the screen shot:



On this page, there are all types of Application Forms. So you can get forms from this page.

Andhra university M.SC original Degree Application Form



Contact Details
Andhra University,
Visakhapatnam - 530 003,
Andhra Pradesh, India.
E-Mail: vicechancellor@andhrauniversity.info
Tel: 91-891-2575464

Map

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  #3  
Old February 17th, 2014, 03:19 PM
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Default Re: AU M.Sc OD Application Form

Here I am providing the syllabus of M.Sc Applied Mathematics of the Andhra University:

Andhra University M.Sc Applied Mathematics Syllabus
Basic Topology: finite, countable and uncountable sets, metric spaces, compact sets,
perfect sets, connected sets. (One question is to be set)

Continuity: limits of functions, continuous functions, continuity and compactness,
continuity and connectedness, discontinuities, monotone functions, infinite limits and
limits at infinity. (Chapters 2 and 4 of Ref.1). (One question is to be set)

The Riemann - Stieltjes integral: linearity properties, integration by parts, change of
variable, reduction to a Riemann integral, monotonically increasing integrators,
Riemann’s condition, comparison theorems, integrators of bounded variation, sufficient
conditions for existence of R-S. integrals, necessary conditions for existence of R-S
integrals, mean-value theorems for R-S integrals, integral as a function of interval,
second fundamental theorem of integral calculus, second mean-value theorem for
Riemann integrals. (Sections: 7.1 to 7.7 and 7.11 to 7.22 of Ref.2)
(One question is to be set)

Multivariable Differential Calculus: directional derivative, total derivative, Jacobian
matrix, chain rule, mean-value theorem for differentiable functions, sufficient conditions
for differentiability and for equality of mixed partial derivatives, Taylor’s formula for
real valued functions in n real variables. (Chapter 12 of Ref.2).
(One question is to be set)

Sequences and series of functions: uniform convergence, uniform convergence and
continuity, uniform convergence and integration, uniform convergence and
differentiation. equicontinuous families of functions, the Stone – Weierstrass theorem.
(Chapter 7 of Ref.1) (Two questions are to be set)

Linear equations with variable coefficients, the wronskian and linear independence,
reduction of the order of a homogeneous equations, the non-homogeneous equations.
Homogeneous equations with analytic coefficients. Linear equations with regular singular
points, Eulers equations and series solutions. Existence and uniqueness of solutions of 1st
order equations, exact equations, Picard’s method of successive approximations,
existence & uniqueness of solution to systems. (Chapter 3 (excluding section 8 & 9),
chapter 4 (excluding sections 5, 7 & 8), chapter 5 (excluding section 7) and chapter 6
(sections 1,3,5,6) of Text book.1.
(Three questions are to be set)

(Three questions are to be set)
Calculus of variations : Euler’s equations, functions of the form

.... , , .... , 2 1 , 2 , 1 dx. Functional dependence on higher order derivatives,
variational problems in parametric form and applications (chapter VI of Text book.2).
Tensor Analysis: N-dimensional space, covariant and contravariant vectors, contraction,
second & higher order tensors, quotient law, fundamental tensor, associate tensor, angle
between the vectors, principal directions, christoffel symbols, covariant and intrinsic
derivatives geodesics (chapter 1 to 4 of Text book.3).
(Three questions are to be set)
Text books:
1. E.A. Coddington. An Introduction to ordinary differential equations, Prentice Hall of
India Pvt. Ltd., New Delhi, 1987.
2. L. Elsgolts: Differential equations and calculus of variations, Mir Publishers, Moscow,

M.Sc. FIRST SEMESTER APPLIED MATHEMATICS

Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Lagrangian Formulation: Mechanics of a particle, mechanics of a system of particles,
constraints, generalized cordinates generalized velocity, generalized force and potential.
D’Alembert’s principle and Lagranges equations, some applications of Lagrangian
formulation, Hamilton’s principle, derivation of Lagrange’s equations from Hamilton’s
principle, extension of Hamilton’s principle to non-holonomic systems, Advantages of
variational principle formulation, conservation theorems and symmetry properties (scope
and treatment as in Art.1.1 to 1.4 and Art 1.6 to 2.6 of Text book.1).

(Two questions are to be set)
Hamiltonian formulation: Legendre transformations and the Hamilton equations of
motion, cyclic coordinates and conservation theorems, derivation of Hamilton’s
equations from a variational principle, the principle of least action, the equation of
canonical transformation, examples of canonical transformation, Poisson and Lagrange
brackets and their invariance under canonical transformation. Jacobi’s identity; Poisson’s
Theorem. Equations of motion infinitesimal canonical transformation in the poisson
bracket formulation. Hamilton Jacobi Equations for Hamilton’s principal function, The
harmonic oscillator problem as an example of the Hamilton – Jacobi method. (Art. 8.1,
8.2, 8.5, 8.6, 9.1, 9.2, 9.4, 9.5, 10.1, 10.2 of Text book.1)

(Three questions are to be set)
New concept of space and Time, postulates of special theory of relativity, Lorentz
transformation equations, Lorentz contraction, Time dilation, simultaneity, Relativistic
formulae for composition of velocities and accelerations, proper time, Lorentz
transformations form a group (Scope and treatment is as in chapter 1 and 2 of Text
book.2).

(One question is to be set)
Text books:
1. Classical mechanics by H.Goldstein, 2nd edition, Narosa Publishing House.
2. Relevant topics from Special relativity by W.Rindler, Oliver & Boyd, 1960.

M.Sc. FIRST SEMESTER APPLIED MATHEMATICS

M.Sc. FIRST SEMESTER APPLIED MATHEMATICS

Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)

Algebraic systems: some simple algebraic systems – semi groups and monoids,
homomorphism of semi-group and monoids, groups, subgroups and homomorphism,
cosets and Lagranges theorem, normal subgroups. Sections 3-1, 3-2, 3-5.1, 3-5.2, 3-5.3
and 3-5.4 Chapter 3 of Text book.1).

Binary group codes, binary symmetric channels, encoding and decoding, block codes,
matrix encoding techniques, group codes, decoding tables, and Hamming codes (chapter
8 of Text book.2)

(Three questions are to be set)
Relations and ordering: partially ordered relations, Partially ordered sets, representation
and associated terminology. (Sections 2-3.1,2-3.2, 2-3.8, 2-3.9 of Chapter 2 in Text
book1)
Lattices, Lattices as partially ordered sets, some properties of Lattices, Lattices as
algebraic systems, sub-Lattices, direct product and homomorphism some special Lattices.
(Sections: 4-1.1 to 4-1.5 of chapter 4 of Text book.1).

Boolean Algebra, subalgebra, direct product and Homomorphism, Boolean forms and
free Boolean Algebras, values of Boolean expressions and Boolean functions (Sections:
4-2.1, 4-2.2, 4-3.1, 4-3.2 of chapter of Text book 1)

(Three questions are to be set)
Text books:
1. Discrete Mathematical structures with Applications to Computer Science by
J.P. Trembly and R.Manohar, Tata Mc.Grawhill Edition.
2. Modern Applied Algebra by G.Birkhoff. and Thomas C.Bartee

M.Sc. FIRST SEMESTER APPLIED MATHEMATICS

Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Fortran 77 programming: Introduction, Flowcharts, Fortran programming preliminaries,
Fortran constants and variables, Arithmetic expressions, Input-output statements, control
statements, Do statements, Subscripted variables, Elementary format specifications.
Logical variables and logical expressions, function subprograms, subroutine
subprograms, simple examples on these topics (Scope and treatment as in chapters 3 to
12 and 14 of Text book.1).

(Three questions are to be set)
Numerical techniques of solving transcendental and polynomial equations: Bisection
methods, secant method, Newton-Raphson method, Chebyshev method, Rate of
convergence, Iteration methods of first and second orders. Methods for multiple roots.
Numerical techniques of solving system of lineal Algebraic equations: Triangularization
method, Gauss elimination method, Gauss-jordan method, Iterative methods: Jacobi
method, Gauss-Seidel method. Numerical techniques of determining the eigen values
and eigen vectors of a matrix: Jacobi method, power method and Rutishausher method
(Scope and treatment as in chapters 2 and 3 of Text book.2).

(Three questions are to be set)
Text books:
1. V. Rajaraman, Computer programming in Fortran-77, 4th edition Prentice Hall of
India Private Ltd.
2. Jain, S.R.K. Iyangar, R.K. Jain - Numerical Methods for Scientific and Engg.
Computation, 3rd Edition, New Age international (P) Ltd. Publishers.

M.Sc. SECOND SEMESTER APPLIED MATHEMATICS


Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.

All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)

Functions of a complex variable: Analytic functions and Harmonic functions, Cauchy –
Riemann equations, Sufficient conditions.
Complex integration: Contour integration, Cauchy – Goursat theorem, antiderivatives,
Integral representation for analytic functions, Theorems of Morera and Liouville and
some applications.
Series: Uniform convergence of series, Taylor and Laurent series representations,
singularities, Zeros and poles, Applications of Taylor and Laurent series.

(Three questions are to be set)
Residue theory: Residue theorem, calculus of Residues, evaluation of Improper real
integral, Inderned contour integrals, Integrals with Branch point. Rouche’s theorem.
Conformal mapping : Basic properties of conformal mapping, Bilinear transformations,
mappings involving elementary functions.

(Three questions are to be set)
Text book: Complex analysis for Mathematics and Engineering – 3rd Edition by John H.
Mathews and Russel W, Howell. Narosa publishing house (chapters: 3, 6, 7, 8 and 9).

M.Sc. SECOND SEMESTER APPLIED MATHEMATICS


Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.

All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Partial differential equations: Equations of the form , dx dy dz
P Q R
= = Orthogonal

trajectories, Pfaffian differential equations, 1st order partial differential equations;
Charpit’s method and some special methods. Jacobi’s method. Second order Partial
differential equations with constant & Variable coefficients, canonical forms, separation
of variables method, Monge’s method (Chapter 1 (excluding sections 7 & 8), chapter-II
(excluding section 14), chapter III (excluding section 10) of Text book.1).
(Three questions are to be set)

Integral equations: Basic concepts, solutions of integral equations, Volterre’s integral

equations and Fredholm’s integral equations (Chapters: 1 & 2 of Text book 2)
(One question is to be set)
Fourier and Laplace Transforms with applications to ordinary, partial differential
equations and Integral equations ( Chapters 1,2,3,4,5,6 and 8 (section 8.1 & 8.2 only) of
Text book 3)
(Two questions are to be set)
Text books:
1. I.N. Sneddon, Elements of partial differential equations. Mc Graw Hill International
student Edition, 1964.
2. Shanti Swarup- Integral equations, Krishna Prakashan Media (P) Ltd, Meerut, 2003.
3. A.R.Vasishtha & R.K.Gupta, Integral transforms, Krishna Prakashan Media (P) Ltd,
Meerut, 2003.

M.Sc. SECOND SEMESTER APPLIED MATHEMATICS

Duration: 3hrs. Max.Marks:85
A total of seven questions are to be set and student has to answer 5(Five) questions. All
questions carry equal marks. The first question which is compulsory carries 17 marks. It
consists of 4 short answer sub questions covering the entire syllabus. The remaining six
questions each carrying 17 marks are to be set as suggested in the body of the syllabus.
Analysis of strain, deformation, affine deformation, infinitesimal affaine deformation,
geometrical interpretation of the components of strain, principal directions, invariants,
general infinitesimal deformation, Examples of strain, questions of compatibility
(Chapter 1 of Text book 1)
Analysis of stress, body and surface forces, stress tensor, equations of equilibrium,
transformations of coordinates, stress quadric of Cauchy, Mohr’s diagram, examples of

stress. (Chapter 2 of Text book 1)
(Three questions are to be set)
Kinematics of fluids, real and ideal fluids, velocity of fluid at a point, streamlines and
path lines, velocity potential, velocity vector, local and particle rates of change, equation
of continuity, Acceleration of fluid conditions at a rigid boundary. General analysis of
fluid motion.
(Chapter 2 of Text book 2)

Equation of motion of a fluid, pressure at a point in a fluid at rest and in a moving fluid
conditions at a boundary of two in viscid immiscible fluids, Euler’s equations of motion,
Bernoulli’s equation. Discussion of the case of steady motion under conservative body
forces. Some potential theorems. Flows involving axial symmetry. Impulsive motion.
Vortex motion, Kelvin’s circulation theorem. Some further aspects of vertex motion.
(Chapter 3 of Text book 2)

(Three questions are to be set)
__________________________________________________ ______________________
Text books:
1. Mathematical theory of Elasticity, by I.S.SOKOLNIKOFF
2nd edition; Tata Mc Graw Hill-New Delhi
2. Text book of Fluid dynamics by F.Chorlton, CBS publishers and
distributors, New Delhi..

M.Sc. SECOND SEMESTER APPLIED MATHEMATICS

Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Mathematical logic: statements structures and notation, connectives, well formed
formulas, tautologies, equivalences, implications, normal forms – Disjunctive and
conjunctive, Principle disjunctive and conjunctive normal forms.
Theory of Inference: Theory of inferences for statement calculus, validity using truth
tables, values of Inference. Predicate calculus: predicates, predicate formulas, quantifiers,
free and bound variables, Inference theory of predicate calculus. (Scope and treatment as
in Sections: 1.1 to 1.6 of Text book.1)

(Three questions are to be set)
Theory of Recursion: Recursive functions, primitive recursive functions, partial recursive
functions and Ackerman’s functions (scope and treatment as in Section 2-6.1 of Ref.1)
Graph Theory: Graphs and multigraphs, subgraphs, Isomorphism and homomorphism,
paths, connectivity, traversable multigraph, labeled and weighted graphs; complete,
regular and bipartite graphs, tree graphs, planar graphs.
Directed graphs: sequential representation of Directed graphs, shortest path, Binary trees,
Complete and extended binary trees, Representation of binary trees; traversing binary
trees and binary search tree (Scope as in Sections 8.2 to 8.9 of chapter 8, 9.2 to 9.7 of
chapter 9 and 10.1 to 10.6 of chapter 10 of Text book.2).
(Three questions are to be set)

Text books:
1. Discrete Mathematical structures with Applications to Computer Science by
J.P.Tremblay and R.Manohar Tata Mc Graw-Hill Edition.
2. Discrete Mathematics, Schaum’s outline series, second edition, by Seymour
Lipschutz and Marc Lipson Tata Mc Graw-Hill.

M.Sc. SECOND SEMESTER APPLIED MATHEMATICS


Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Interpolation and Approximation: Lagrange interpolation, Hermite interpolation, Spline
interpolation, Least squares approximation.
Numerical techniques for evaluating derivatives and integrals: Differentiation methods

based on interpolation formulae, methods based on finite differences, extrapolation
methods, partial differentiation. Numerical Integration methods based on interpolation

formulae, Newton – Cote’s methods, Trapezoidal and Simpsons formulae, Methods
based on undetermined coefficients – Gauss Legendre, Gauss-Chebyshev integration
methods, Lobatto integration, Composite integration methods – Trapezoidal rule,
simpsons rule and Romberg integration. (Chapter 4 and 5 of Text book.1).

(Three questions are to be set)
Numerical techniques for solving ordinary differential equations: Euler method,
backward Euler method, Midpoint method. Single step methods: Taylor series method,
Runge-Kutta methods. Multistep methods: Predictor-corrector method, Adams
Bashforth method, Adams –Moultan method, Convergence and stability analysis of
single – step methods. (Chapter 6 of Text book.1)
Numerical methods for solving elliptic partial differential equations: Difference
methods, Dirichlet problem, Laplace and Poisson equations. (Chapter 1.1, 1.2, 4.1 to 4.2
of Text book.2).

(Three questions are to be set)
Text books:
1. Numerical method for Scientific and Engineering Computation, M.K.Jain, S.R.K.
Iyengar and R.K. Jain, 3rd edition, 1993, New Age International Pvt.Ltd.
2. Computational methods for partial differential equations by M.K. Jain,
S.R.K.Iyengar and R.K. Jain, New Age International Pvt. Ltd. (1993).
M.Sc. THIRD SEMESTER APPLIED MATHEMATICS


Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Lebesgue Measure: Introduction, Outer measure, Measurable sets and Lebesgue

measure, A nonmeasurable set, Measurable functions, Littlewood’s three principles.
The Lebesgue Integral: The Riemann integral, The Lebesgue integral of a bounded
function over a set of finite measure. The integral of a nonnegative function. The
general Lebesgue integral, Convergence in measure. (Cahpters 3 and 4 of the Text
book).

(Three questions are to be set)
Differentiation and Integration: Differentiation of Monotone functions, Functions of
bounded variation, Differentiation of an integral, Absolute continuity, Convex functions.
The classical Banach Spaces: The Lp spaces, The Holder and Minkowski inequalities,
Convergence and completeness, Bounded linear functionals on the P L spaces. (Chapters

(Three questions are to be set)
Text Book: Real Analysis, H.L. Royden – Macmillan publishing Cp.

M.Sc. THIRD SEMESTER APPLIED MATHEMATICS


Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
The vibrating string, Boundary value problems of Mathematical Physics, Eigenvalues
and Eigenfunctions, Eigenfunction Expansions, Upper and lower bounds of
eigenfunctions. (Article: 3.5 to 3.9 of the Text book)
(One question is to be set)

Orthogonal co-ordinate systems, Separation of variables. Sturm – Liouville Problems
Series Solutions of boundary value problems. (Article: 4.1 and 4.2 of the Text book)
(Two questions are to be set)

Greens functions: Non/homogenous boundary value problems. One dimensional
Green’s function. Generalized functions. Green’s function in higher dimensions.
Problems in unbounded regions. (Article: 5.1 to 5.5 of the Text book)
(Three questions are to be set)

Text Book: John W.Dettman, Mathematical Methods in Physics and Engineering,
Mc.Graw Hill Book Company, Second edition. (1969)

M.Sc. THIRD SEMESTER APPLIED MATHEMATICS


Duration: 3 hours Maximum Marks: 85
(A total of seven questions are to be set and the student has to answer 5 (five) questions.
All questions carry equal marks. The first question which is compulsory carries 17
marks. It consists of 4 short answer sub questions covering the entire syllabus. The
remaining six questions each carrying 17 marks are to be set as suggested in the body of
the syllabi.)
Data types, Operators and Some statements: Identifiers and key words, Constants, C

operators, Type conversion.
Writing a Program in C: Variable declaration, Statements, Simple C Programs, Simple

input statement, Simple output statement, Featutre of stdio.h.
Control statements: Conditional expressions: If statement, if-else statement, Switch
statement, Loop statements: For loop, While loop, Do – while loop, Breaking control

statements: Break statement, Continue statement, goto statement.
Functions and Program Structures: Introduction, Defining a function, Return statement,

Types of Functions, Actual and formal arguments, Local Global variables. The scope of
variables: Automatic Variables, Register Variables, Static Variables, External wariables,
Recursive functions.
(Four questions are to be set)
Arrays: Array Notation, Array declaration, Array initialization, Processing

Remaining syllabus are in the attachment .........


Image 1



Image 2

Attached Files
File Type: pdf Andhra University M.Sc Applied Mathematics Syllabus.pdf (158.3 KB, 17 views)
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  #4  
Old April 28th, 2015, 02:51 PM
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Join Date: Apr 2015
Posts: 1
Default OD application form

how to apply for convocation on online?
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