gurukul results syllabus , mobile,hacking

UTTARAKHAND BOARD RESULT OF 10 AND 12 CLASS

2012-05-28T23:05:00.001-07:00

RESULT

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GKV HARIDWAR B.TECH SYLLABUS

2011-08-22T20:38:00.000-07:00

CLICK HERE TO DAWNLOADwww.gkvharidwar.org/cos/fet/syllabus13-03-04/newcse.pdf

RESULTS OF GURUKUL

2011-08-05T16:40:00.000-07:00

RESULTS KE LIYE NICHE LINK PER CLICK HERE

http://www.gkvharidwar.org/result/resultsem.htm

B.SC III YEAR math Syllabus

2011-08-05T00:52:00.000-07:00

BMG: 301 Real Analysis and Mathematical Statistics Max Marks: 50

Unit I

Concepts of metric space: Continuous functions, Open sets and closed sets in

metric spaces, connected sets, Bounded and Totally bounded sets, Complete metric

spaces, Contraction mapping, Compact metric spaces, Uniform continuity.

Unit II

Existence and properties of the Riemann integral, Fundamental theorem of

calculus, Improper integral.

Sequence and series of function: Point-wise and uniform convergence of sequence of

functions, Convergence and uniform convergence of series of function, Integration and

differentiation of series of functions.

Unit III

The metric space C[a,b] .The Weierstrass approximation theorem ,Picard’s

existence of differential equation, Fourier series ,Formulation of convergence problems,

Convergence of Fourier series .

Unit IV

Curve fitting-Method of least square, Introduction of Moments, Applications of ttest

, Z-test and F-test.

Unit V

Interpolation :( Newton’s and Lagrange’s formula), Correlation and regression,

Measures of correlation, The least square regression lines, Coefficient of correlation,

Rank correlation.

Books Recommended:

1. R.R Goldberg Method of Real Analysis.(Relevant parts)

2. E.T.Coppson Metric spaces, Cambridge Univ .Press.

3 Ray & Sharma Mathematical Statistics.

4 Murray & Spiegel Statistics

5. C.E.Weatherban A text Book of Statistics

BMG: 302 Differential Geometry Max Marks: 50

Unit-I

Curves With Torsion: Tangent, Principal normal-Curvature, Binormal -Torsion, Serret-Frenet

formulae, Locus of centre of curvature and examples. Spherical curvature, Locus of centre of

spherical curvature, Theorem: Curve determined by its intrinsic equation, Helices, Spherical

indicatrix of tangent, Involutes, Evolutes. Bertrand curves.

Unit-II

Envelopes, Developable Surfaces: Surfaces, Tangent plane –Normal, One –Parameter Family of

Surfaces: Envelope, Characteristics, Edge of regression, Developable surfaces, Developables

associated with a curve: Osculating development, Polar development, Rectifying development.

Two –parameter Family of Surface: Envelope, Characteristics points, and its examples.

Unit-III

Curvilinear Coordinates on a Surface Fundamental Magnitudes: Curvilinear Coordinates,

First order magnitude , Directions on a surface , The normal , Second order Magnitude

,Derivatives of n ,Curvature of normal section ,Meunier’s theorem and examples.

Unit-IV

Curves on a Surface: Lines of Curvature: Principal direction and curvatures, First and second

curvature, Euler’s theorem, Dupin’s indicatrix, The Surface z = f(x,y), Surface of revolution and

examples. Conjugate directions, Conjugate systems.

Asymptotic lines, Curvature and torsion, Isometric Parameters, Null Lines or Minimal curves and

examples.

Unit-V

The Equations of Gauss and of Codazzi: Gauss’s formula for r11, r12, r22 ,Gauss’s

characteristic equations ,Mainardi–Codazzi relations, Alternative expressions ,Bonnets theorem,

Derivation of an angle  and examples.

Geodesic: Geodesic property, Equations of geodesics, Surface of revolution, Torsion of a

geodesic ,Curves in relation to Geodesics : Bonnet’s theorem ,Joachimsthal’s theorems ,Vector

curvature , Geodesic curvature and its other formulae ,Examples.

Books Recommended:

1.C.E.Weatherburn Differential Geometry

2.Bansi Lal Differential Geometry, Atma Ram & Sons, Delhi

3.Andrew Presely Elementry Differential Geometry, Springer

BMG: 303 Linear Programming and Probability Max Marks: 50

Unit-I

Convex sets and their properties, Introduction to linear programming problems,

Mathematical formulation, graphical method, Simplex method.

Unit-II

Concept of duality in linear programming, Framing of dual problems, Dual simplex

method, Sensitivity analysis.

Unit-III

Revised simplex method, Transportation problem and assignment problem.

Unit-IV

Definition of Probability, Addition and multiplication theorems, Conditional Probability,

Independent and dependent events, Mutually exclusive events, Mathematical expectation,

Introduction to axiomatic approach.

Unit-V

The Binomial distribution, Some properties of Binomial distribution , The Poisson

distribution, Some properties of Poisson distribution, Relation between binomial and

Poisson distributions and problems. The normal distribution, Some properties of normal

distribution, Relation between normal and binomial distributions.

Books Recommended:

1. P.K.Gupta & Man Mohan Linear Programming

2. Ray & Sharma Mathematical Statistics

B.SC II YEAR math Syllabus

2011-08-05T00:48:00.000-07:00

BMG: 201 Max Marks: 50

Elementary Analysis, Differential Equations and Vector Calculus

Unit-I

Real –Valued functions, Equivalence, Countability, Real numbers, Least upper

bound,Sequence of real numbers, Series of real numbers.

Infinite series: Introduction, Alternating series with Leibnitz test, P-series test for

positive terms, Comparison test for positive terms, D’Alembert’s ratio test , Cauchy’s

root test , Raabe’s test , Logarithmic test,

Open sets, closed sets on R, Derivatives, Rolle ’s Theorem, The law of the mean.

Unit-II

Ordinary differential equation of the first order and first degree, Clairaut’s form of

differential equations, Orthogonal trajectories, Linear differential equations with constant

coefficient, Homogeneous linear differential equations.

Unit-III

Linear differential equation of second order with constant coefficients.

Unit-IV

Scalar and Vecor product of three vectors, Product of four vectors , Reciprocal vectors,

Vector differentiation, Directional derivatives, Gradient, Divergence and Curl.

Unit-V

Vector integration, Theorems of Gauss,Green,Stokes and problems based on these.

BOOKS SUGGESTED

1. R.R.Goldberg Methods of Real Analysis

2. Gorakh Prasad Integral Calculus

3. Shanti Narayan A text –Book of Vector Calculus

(S. Chand & Co. New Delhi)

4.G.F.Simmons Differential Equations

5. Murray R. Spiegel Vector Analysis, Schaum Pub. Company New york

6 S.L.Ross Ordinary Differential Equations

7 H.L.Royden Real Analysis

BMG: 202 Linear Algebra Max Marks: 50

Unit-I

Vector Space: Field, Vector space, Subspaces, Base and dimension, Coordinates,

Summary of rows equivalence, Computations concerning subspaces.

Unit-II

Linear Transformations: Linear transformations and their algebra. Isomorphism,

Representation of transformations by matrices.

Linear functionals, Double dual, Transpose of linear transformations.

Unit-III

Polynomials: Algebra of polynomials, Polynomial ideals, Determinant functions and

simple properties.

Unit-IV

Canonical Form: Characteristic values and Characteristic vectors, Annihilating

polynomials, Examples of invariant subspaces.

Diagonalization, Orthogonal diagonalization, Applications to differential equations.

Unit-V

Quadratic forms: Quadratic forms in two and n variables, Cross-product terms of the

quadratic form. Positive definite Quadratic form, Diagonalization of quadratic forms,

Application to conic sections.

Books Recommended:

1. H.Anton Elementary Linear Algebra , John Wiley & Sons.

2. Chatles W.Curtis(C.W.Curtis) Elementary Linear Algebra

BMG: 203 Mechanics Max Marks: 50

Unit-I

Virtual Works: Equilibrium of strings and chains (common catanary and catanary of

uniform strength),Stable and Unstable equilibrium, Moments and couples, Varignon’s

theorem of moments

Unit-II

Equiblirium of forces in three dimensions, central axis, Wrench and Screw, Pitch of the

wrench.

Unit-III

Kinematics, Motion in a straight line and a plane, Radial and transverse velocities and

accelerations.

Unit-IV

Angular velocity and acceleration, Tangential and normal velocities and acceleration,

Rectilinear motion with constant acceleration.

Unit-V

Simple harmonic motion, Hook’s law, Repulsion from a fixed point varying as the

distance from the point, Constrained motion on a smooth plane (Vertical circle and

cycloid) , Projection.

Books Recommended:

1.R.S.Verma Statics

2.S.L.Loney Statics

3.M.Ray Dynamics

B.SC I YEAR math Syllabus

2011-08-05T00:42:00.000-07:00

SYLLABUS

B. Sc. Mathematics

BMG: 101 ABSTRACT ALGEBRA Max Marks: 50

Unit-I
Sets and Logic (No question should be asked on this part). The well-ordering principle.
The division algorithm. The fundamental theorem of arithmetic, Congruence modulo.
Equivalance relations and Equivalance classes.
Unit-II
Groups: Definition, Examples and Properties, Permutation and Permutation group,
Subgroups and their properties.
Unit-III
Cosets and Coset decomposition, Lagrange’s theorem and its corollaries, Farmat’s
theorem, Cyclic group.
Unit-IV
Normal subgroup, Centre of a group, Quotient group, Homomorphism and Isomorphism,
Fundamental theorem of homomorphism, Cayley’s theorem.
Unit-V
Ring, Examples and simple properties, Different types of rings, Subring and Ideals,
Divisibility in an integral domain, Polynomial ring, Field and simple properties.

Books Recommended:
1. Thomas A.Whitelaw Introduction to Abstract (Blakie & Son Ltd.)
2. R.S. Mishra and N.N.Bhattacharya Fundamental structure in Modern Algebra
3. Bhattacharya ,Jain & Nagpal Abstract Algebra (Cambridge Uni. Press)

BMG: 102 CALCULUS Max Marks: 50

Unit-I
Successive differentiation: Expansion of functions, Maclaurin’s and Taylor’s theorems.
Unit-II
Maxima and minima up to two independent variables, Indeterminate form , Jacobian of
three functions, Partial differentiation.
Unit-III
Asymptotes, Curvature, Envelop, Double point and curve tracing (Polar and Cartesian).
Unit-IV
Standard reduction formula, Integration, as the limit of sum, Simple definite integrals.
Unit-V
Rectification, Quadrature, Volumes and Surfaces solids of revolution, Beta and Gamma
functions with their properties.

Books Recommended:
1. Gorakh Prasad Differential Calculus
2. Gorakh Prasad Integral Calculus

BMG: 103 3-D Coordinate Geometry & Trigonometry Max Marks: 50

Unit-I
System of coordinates, Direction Cosine, Angle between two lines, Projections, Distance of a
point from a line.
The plane: General form,Normal form, Intercept form, Reduction of the general form to normal
form , Equation of plane through three points, Angle between two planes, Parallel planes,
Perpendicular distance of a point from the planes, Pair of the planes ,Area of a triangle and
volume of a tetrahedron.
Unit-II
The straight line: Equation of a line in general form, Symmetric form, Two point form,
Reduction of the general equation to the symmetrical form, Straight line and the planes,
Conditions of parallelism and perpendicularity of a line and a plane ,Plane through a given line,
Perpendicular distance formula for the line, Projection of a line on a given plane containing them,
Equation of a straight line intersecting two given lines, Perpendicular distance formula for the line
and coordinates of the foot of the perpendicular, Shortest distance between two lines.
Unit-III
Sphere: General equation of a sphere, Plane section of a sphere, Intersection of two spheres,
Sphere through a given circle, Intersection of a straight line and a sphere, Equation of a tangent
plane to sphere, Condition of tangency. Plane of contact, Polar plane of a given plane, Angle of
intersection of two spheres, Length of tangent, Radical plane, Coaxial system of spheres.
Unit-IV
Cone:Equation of a cone whose vertex is at origin, Equation of a cone with a given vertex and a
given conic as base, Condition that general equation of second degree represent a cone, Equation
of a tangent plane, Condition of tangency of a plane and a cone, Reciprocal cone, Right circular
cone.
Unit-V
Expansions of sine and cosine of multiple angles in series, Expansion of sine, cosine and tan in
power of angles, Expansion of power of sines and cosines in multiples angles, Exponential series
for complex numbers, Circular and inverse circular functions for complex numbers, Hyperbolic
functions, Inverse hyperbolic functions, Logarithm of complex numbers, Summation of
trigonometric series.
Books Recommended:
1. Shanti Narayan Coordinate Geometry of 3-Dimension.
2. S.LL.Loney Trigonometry part III
3. Schaum’s series Coordinate Geometry

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2011-07-25T21:13:00.003-07:00

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result of HNB univercity b.sc, m.sc, b.com, m.com, ba ,ma

2011-07-24T21:45:00.000-07:00

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hacking

2011-07-24T01:29:00.000-07:00

Vodafone

Vodafone has given lot of facilities to its users in india.but now they have given another great service,trick,BALANCE TRANSFER,yes you could transfer your balance to your friends vodafone mobile number.the method is given below

Send:
TRAN (amount u want to transfer)
(phone number of your friend)
to
144(tol free)
ex:
TRAN 20 9865795443

try it,its easy and helps at times

idea

Idea balance transfer trick…Do you want to transfer your mobile balance to another mobile number?its very easy in idea cellular network.just follow the below steps!!

Just Dial : *567*mobile number*Rs#
Example : *567 *9092 XXXXXX*100#

with this procedure you can transfer your idea mobile balance to another mobile.

Hacking

NEW TRICK:to activate free dialer tune in idea mobile network follow these steps.with this you could access free caller tune for months….

Keep balance Rs.16
Send Movie name or song name to 53463
Then select the song as you want
then set the song now you will be deducted about 15 rs.
Now keep balance Rs.0 and you will not be charged for rental.
when recharging do not recharge for more than 20 rs.

NOKIA MOBILE PRICE LIST 2011

Nokia N900               Rs.24463
Nokia N97                Rs.23863
Nokia N8                     Rs.23515
Nokia N86 8MP        Rs.19054
Nokia N97 Mini    Rs.18822
Nokia C7                      Rs.18350
Nokia E72                   Rs.16663
Nokia X6 16GB          Rs.15528
Nokia E75                   Rs.14840
Nokia X6 8GB             Rs.13839
Nokia 5800 XpressMusic        Rs.13518
Nokia N79                    Rs.13355
Nokia C6                        Rs.12825
Nokia E71                     Rs.12802
Nokia E52                     Rs.11217
Nokia E5                        Rs.10519
Nokia 6208 Classic    Rs.9967
Nokia 5320 XpressMusic    Rs.9913
Nokia 5530 XpressMusic    Rs.9743
Nokia 6700 Slide    Rs.9516
Nokia X5-01    Rs.9153
Nokia 3600 Slide    Rs.9114
Nokia 7610 Supernova    Rs.9041
Nokia 5235 Comes With Music    Rs.8546
Nokia E63    Rs.8125
Nokia 5250    Rs.7625
Nokia C5    Rs.7363
Nokia 7310 Supernova    Rs.7175
Nokia 5230    Rs.7156
Nokia 3710 Fold    Rs.7086
Nokia 3120 Classic    Rs.6836
Nokia 3610 Fold    Rs.6600
Nokia X3    Rs.6449
Nokia 5233    Rs.6117
Nokia 6303i Classic    Rs.6003
Nokia C3    Rs.5800
Nokia 7230    Rs.5706
Nokia X2    Rs.5515
Nokia 7020    Rs.4693
Nokia 5130 XpressMusic    Rs.4461
Nokia 7210 Supernova    Rs.4166
Nokia 2730 Classic    Rs.4047
Nokia 2700 Classic    Rs.3575
Nokia 2720 Fold    Rs.3050
Nokia 2600 Classic    Rs.3016
Nokia 2690    Rs.2590
Nokia 2330 classic    Rs.2400
Nokia 2220 Slide    Rs.2253
Nokia 2323 classic    Rs.2211
Nokia 1650    Rs.1761
Nokia C1-00    Rs.1684
Nokia 5030 XpressRadio    Rs.1642
Nokia 1800    Rs.1603
Nokia 1208    Rs.1457
Nokia 1661    Rs.1394
Nokia 1616    Rs.1282
Nokia 1209    Rs.1100
Nokia 1280    Rs.1085
Nokia 1203    Rs.1033
Nokia 1202    Rs.1025

If i have missed a mobile phone in this list,let me know and i will update it in the post.Nokia mobile price list for the year 2011.

This post is about a latest announcement from airtel.there were a lot of tricks for airtel gprs,free mobile office tricks,and free recharging hack that we happily performed in india’s largest telecom network AIRTEL but now airtel has fixed most of the tricks.dont worry our search for a new airtel trick will never end.
Airtel has announced a free recharge of Rs.10 for using when your in urgent need of it.eventhough already many companies have introduced this,airtel has just now come with this plan.in this you can get a balance of 10 rs added to your any airtel prepaid number in india and they will detect the balance from your account after two when you perform this free airtel recharge.they take a processing fee of rs.1 also.
Now the method for getting this recharge is type LOAN and sms it to 121(toll free) and you will get your free balance within few minutes.expecting a better offer from airtel? then post your comment here….

tags: latest free airtel recharge trick,how to recharge free in airtel prepaid india

B.SC i YEAR RESULT OF HNB GARWAL UNIVERCITY

2011-07-23T23:05:00.000-07:00

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2011-07-20T11:21:00.001-07:00

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2011-06-18T01:28:00.000-07:00

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2011-06-12T05:42:00.000-07:00

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