Syllabus of M.Sc entrance exam in Delhi University?

sir i want syllabus of m.sc chemisty du plz send me

plz send me the syllabus of MSc Environmental Science syllabus for entrance exam of DU.

The University of Delhi is a public central university located in Delhi, India. It is affiliated to UGC, NAAC, AIU.

List of M.Sc. Courses Offered:
M.Sc. Applied Operational Research
M.Sc. Anthropology
M.Sc. Botany
M.Sc. Chemistry
M.Sc. Computer Science
M.Sc. Environmental Studies
M.Sc. Fabric & Apparel Science
M.Sc. Food & Nutrition
M.Sc. Genetics
M.Sc. Geology
M.Sc. Home Science Specializations Development Communication & Extension
M.Sc. Home Science Specializations Fabric & Apparel Science
M.Sc. Home Science Specializations Food & Nutrition
M.Sc. Home Science Specializations Human Development & Childhood Studies
M.Sc. Home Science Specializations Resource Management & Design Application
M.Sc. Plant Molecular Biology and Biotechnology
M.Sc. Mathematics
M.Sc. Microbiology
M.Sc. Operational Research
M.Sc. Physics
M.Sc. Zoology
M.Sc. Integrated Earth Science

DU MSc. Mathematics Entrance Exam Syllabus

SYLLABUS FOR ENTRANCE EXAMINATION FOR M.A. / M.Sc.
MATHEMATICS
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.

Contact:
University of Delhi
University Road, New Delhi, Delhi 110007 ‎
011 2766 7853 ‎•

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Answered By StudyChaCha Member

sir plz tel me d entrance syllabus fro msc zoology plz sir

sir could u send me syllabus for MA/M.SC environmental studies for du entrance exam on my id kashyapsarita910@gmail.com

please sir give me a Slybus of Geology

yes i want the m.s.c. chemistry entrance exam syllabus of DU as from which we can assure good marks in entrance and get admission in du

sir,
i want DU M.Sc. environmental science entrance syllabus of 2015 so,Please detail syllabus give me. sir please

sir,
i want syllabus details of M.Sc. Environmental science entrance exam of Delhi university so,Please send me on my id- mithlesh.maravi73@gmail.com

sir please send me syllabus of m.sc entrance exam for enviornmental science