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  #1  
Old April 5th, 2012, 01:04 PM
Sashwat's Avatar
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plZ tell me
syllabus of M.Sc entrance exam in delhi university
pl sir

>>>>> Answer <<<<<<

DU M.Sc. Entrance Exam

DU Entrance Test for admission to the following Courses except M.A / M.Sc. in Environmental Studies is being conducted to fill up 50% seats of total intake on the basis of merit in University of Delhi Entrance Test.

Anthropology
Chemistry
Botany
Geology
M.A. / M.Sc. in Environmental Studies
Zoology
Physics

Syllabus M. Sc. Entrance Exam Delhi University:

SECTION 1

Elementary set theory, Finite, countable and uncountable sets, Real number
system as a complete ordered field, Archimedean property, supremum,
infimum.

Sequence and series, Convergence, limsup, liminf.

Bolzano Weierstrass theorem, Heine Borel theorem.

Continuity, Uniform continuity, Intermediate value theorem, Differentiability,
Mean value theorem, Maclaurin’s theorem and series, Taylor’s series.

Sequences and series of functions, Uniform convergence.

Riemann sums and Riemann integral, Improper integrals.

Monotonic functions, Types of discontinuity.

Functions of several variables, Directional derivative, Partial derivative.

Metric spaces, Completeness, Total boundedness, Separability, Compactness,
Connectedness.

SECTION 2

Eigenvalues and eigenvectors of matrices, Cayley-Hamilton theorem.

Divisibility in Z, congruences, Chinese remainder theorem, Euler’s -
function.

Groups, Subgroups, Normal subgroups, Quotient groups, Homomorphisms,
Cyclic groups, Permutation groups, Cayley’s theorem, Class equations, Sylow
theorems.

Rings, Fields, Ideals, Prime and Maximal ideals, Quotient rings, Unique
factorization domain, Principal ideal domain, Euclidean domain, Polynomial
rings and irreducibility criteria.

Vector spaces, Subspaces, Linear dependence, Basis, Dimension, Algebra of
linear transformations, Matrix representation of linear transformations,
Change of basis, Inner product spaces, Orthonormal basis.

SECTION 3

Existence and Uniqueness of solutions of initial value problems for first order
ordinary differential equations, Singular solutions of first order ordinary
differential equations, System of first order ordinary differential equations,
General theory of homogeneous and non-homogeneous linear ordinary
differential equations, Variation of parameters, Sturm Liouville boundary
value problem, Green’s function.

Lagrange and Charpit methods for solving first order PDEs, Cauchy problem
for first order PDEs, Classification of second order PDEs, General solution of
higher order PDEs with constant coefficients, Method of separation of
variables for Laplace, Heat and Wave equations.

Numerical solutions of algebraic equations, Method of iteration and Newton-
Raphson method, Rate of convergence, Solution of systems of linear
algebraic equations using Guass elimination and Guass-Seidel methods, Finite
differences, Lagrange, Hermite and Spline interpolation, Numerical
integration, Numerical solutions of ODEs using Picard, Euler, modified Euler
and second order Runge-Kutta methods.

Velocity, acceleration, motion with constant and variable acceleration,
Newton’s Laws of Motion, Simple Harmonic motion, motion of particle
attached to elastic string, motion on inclined plane, motion of a projectile,
angular velocity and acceleration, motion along a smooth vertical circle, work,
energy and impulse, Collision of elastic bodies, Bodies falling in resisting
medium, motion under action of central forces, central orbits, planetary
motion, moment of inertia and couple, D’Alembart’s principle.

Equilibrium of particle and a system of particles, Mass centre and centres of
gravity, Frictions, Equilibrium of rigid body, work and potential energy.
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  #2  
Old April 19th, 2012, 08:51 PM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

Here I am uploading the file for the syllabus of M.Sc(computer Science ) for you.

Or if you want to get the syllabus for any other specialization then please let me know.
Attached Files
File Type: pdf Delhi University MCA MSc Admission Brochure.pdf (640.5 KB, 783 views)
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Answered By StudyChaCha Member
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  #3  
Old July 5th, 2012, 03:38 PM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

yes i want the m.sc chemistry entrance exam syllabus of DU.....
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  #4  
Old September 28th, 2012, 05:21 PM
SHYAM JI CHAURASIYA
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

I REQUEST THAT I WANT M.SC (zoology) entrance exam syllabus ,please tell me
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  #5  
Old November 1st, 2012, 09:22 AM
Olivia Biswas
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

I want to know the the syllabus of Zoology M.Sc Entrance Exam of BHU
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  #6  
Old December 12th, 2012, 09:56 AM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

i want me structural engineering syllabus,pls help me
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  #7  
Old December 23rd, 2012, 12:02 PM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

What is the m.sc zoo entrance test syl. Of du
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  #8  
Old January 8th, 2013, 03:49 PM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

syllabus of delhi university m.sc (geology) entrance exam
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  #9  
Old April 26th, 2013, 12:30 PM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

I like to knw the syllabus for the msc(botany) entrance exam of delhi university..
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  #10  
Old May 7th, 2013, 09:36 PM
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Default Re: Syllabus of M.Sc entrance exam in Delhi University?

please can you tell me the syllabus for the Delhi University entrance exam for Msc Environmental Science?!!
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