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Hey Guy’s I am searching for the Delhi University MSC Entrance Exam

Maths subjects syllabus so please can you give me the syllabus and tell me from where can I download the syllabus?

Maths subjects syllabus so please can you give me the syllabus and tell me from where can I download the syllabus?

I have the Maths subject syllabus of MSC Entrance Exam conduct by Delhi University and I am uploading this syllabus here which you can free download any time:

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As you are looking for the Entrance Examination Syllabus of M.Sc Mathematics for University of Delhi, so here I am sharing the same with you

Entrance Examination Syllabus of 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.

Rest of the syllabus is attached in below file which is free of cost for you

**Address:**

University of Delhi North Campus

Zakir Husain College, J L N Road,

New Delhi, Delhi 110002

**Map:**

Entrance Examination Syllabus of M.Sc Mathematics

-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.

-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.

Rest of the syllabus is attached in below file which is free of cost for you

University of Delhi North Campus

Zakir Husain College, J L N Road,

New Delhi, Delhi 110002

msc entrance exam syllabus for physics..