Maths

Maths

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2006)

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Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2006)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2006

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2005)

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Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2005)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2005

(Download) Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2004)

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Karnataka Common Entrance Test (KCET) Previous Papers & Answer Keys (2004)

Download KCET Solved Papers

Papers : Physics, Chemistry, Mathematics, Biology & Answer Keys of Year 2004

(Download) BITSAT 2009 Exam Paper (Math, Physics, Chemistry English And Logical Reasoning)

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Download BITSAT 2009 Exam Paper (Math, Physics, Chemistry English And Logical Resoning)

Q1. A boat takes time t to go downstream from point A to point B and time 2t to go upstream from point B to point A . If the speed of the stream is v and the speed of the boat with respect to the stream is u , then which of the following gives the correct relationship between u & v ?
a) u = v
b) u = 3v
c) v = 2u
d) v=3u

Q2. Which of the following is correct about the acceleration of a particle describing a uniform circular motion ?
a) The acceleration is constant both in magnitude and direction
b) The acceleration is constant in direction but not in magnitude
c) The acceleration is constant in magnitude but not in direction
d) The acceleration is neither constant in magnitude nor in direction

Q3. Five identical resistors of resistance 1 each, are connected along the four edges and one of the diagonals of a square. A potential difference of 1 V is applied across the other diagonal. What will be the current in the resistor along the diagonal ?
a) 0.5A
b) 1 A
c) 5A
d) zero ... [..]

(Download) Maths Model Practice Paper For AIEEE 2010

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   AIEEE MATHEMATICS 2010 

Maths Model Practice Paper For AIEEE 2010


(Tips) IIT JEE 2010 Study Plan | Physics, Chemistry, Maths

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IIT JEE 2010 Study Plan | Physics

IIT JEE 2010 entrance exam is to be held on coming days. So it is necessary to make the schedule of study for different subjects which will help you to prepare in suitable discipline.

Study Plan for Photoelectric Effect and Wave- particle Duality

Sections of the chapter
42.1 Photon theory of light
42.2 Photoelectric effect
42.3 Matter waves

Day 1

  • 42.1 Photon theory of light
  • 42.2 Photoelectric effect
  • 42.3 Matter waves

Day 2

  • Worked out examples 1 to 10

Day 3

  • WOE 11 to 13
  • Exercises 1 to 5

Day 4

  • Exercises 6 to 15

Day 5

  • Exercises 16 to 25

Day 6

  • Exercises 26 to 35

Day 7

  • Objective I and II, Questions for short answer

Day 8

  • Concept review and Formula review

Study Plan for Bohr's Model and Physics of Atom

Day 1

  • 43.1 Early atomic models
  • 43.2 Hydrogen spectra
  • 43.3 Difficulties with Rutherford Model
  • 43.4 Bohr's model

Day 2

  • Worked out examples 1 to 5
  • Exercises 1 to 5

Day 3

  • 43.5 Limitations of Bohr's model
  • 43.6 The wave function of an electron
  • 43.7 Quantum mechanics of the hydrogen atom

Day 4

  • WOE 6 to 10
  • Exercises 6 to 10

Day 5

  • 43.8 Nomenclature in atomic physics
  • 43.9 Laser
  • WOE 11 to 15

(Syllabus) BITSAT 2010 Syllabus | Mathematics

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BITSAT 2010 Syllabus | Mathematics

BITSAT 2010 Syllabus:
The BITSAT-2010 test will be conducted on the basis of NCERT syllabus for 11th and 12th class. The detailed syllabus is given in the Annexure. Candidates may refer to the NCERT text books for the contents. A sample test will be made available to the registered candidates at the BITS website on which he/she can practice as many times as desired.

BITSAT Online Test Syllabus

BITSAT 2010 Mathematics Syllabus

1. Algebra

  1. Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations.
  2. Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations.
  3. Logarithms and their properties.
  4. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetico-geometric series, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
  5. Exponential series.
  6. Permutations and combinations, Permutations as an arrangement and combination as selection, simple applications.
  7. Binomial theorem for a positive integral index, properties of binomial coefficients.
  8. Matrices and determinants of order two or three, properties and evaluation of determinants, addition and multiplication of matrices, adjoint and inverse of matrices, Solutions of simultaneous linear equations in two or three variables.
  9. Sets, Relations and Functions, algebra of sets applications, equivalence relations, mappings, one-one, into and onto mappings, composition of mappings.
  10. Mathematical Induction
  11. Linear Inequalities, solution of linear inequalities in one and two variables.

2. Trigonometry

  1. Trigonometric ratios, functions and identities.
  2. Solution of trigonometric equations.
  3. Properties of triangles and solutions of triangles
  4. Inverse trigonometric functions
  5. Heights and distances

3. Two-dimensional Coordinate Geometry

  1. Cartesian coordinates, distance between two points, section formulae, shift of origin.
  2. Straight lines and pair of straight lines: Equation of straight lines in various forms, angle between two lines, distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines.
  3. Circles and family of circles : Equation of circle in various form, equation of tangent, normal & chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal.
  4. Conic sections: parabola, ellipse and hyperbola their eccentricity, directrices & foci, parametric forms, equations of tangent & normal, conditions for y=mx+c to be a tangent and point of tangency.

4. Three dimensional Coordinate Geometry

  1. Direction cosines and direction ratios, equation of a straight line in space and skew lines.
  2. Angle between two lines whose direction ratios are given
  3. Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines.

(Download) Graduate Record Examination (GRE) | Study Material and Sample Papers for Preparation

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Graduate Record Examination | Study Material and Sample Papers for Preparetion

Description : Following are some study material and sample papers for the preparation of Graduate record examination. Each practice book contains full length test, answer keys, test taking strategies.

Biochemistry, Cell and Molecular Biology (ZIP File) http://cbseportal.com/exam/images/download.gif
Biology (ZIP File) http://cbseportal.com/exam/images/download.gif
Chemistry (ZIP File) http://cbseportal.com/exam/images/download.gif
Computer Science (ZIP File) http://cbseportal.com/exam/images/download.gif
Literature in English (ZIP File) http://cbseportal.com/exam/images/download.gif
Mathematics (ZIP File) http://cbseportal.com/exam/images/download.gif
Physics (ZIP File) http://cbseportal.com/exam/images/download.gif
Psychology (ZIP File) http://cbseportal.com/exam/images/download.gif

(Syllabus) JEE 2010 Exam: Mathematics Syllabus

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Syllabus for JEE-2010 Mathematics

Algebra:  Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality,cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric  and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and  their properties, solutions of simultaneous linear equations in two or three variables.
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry: Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

Analytical geometry: Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

(Syllabus) Graduate Aptitude Test in Engineering (GATE) Syllabus | Mathematics

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Graduate Aptitude Test in Engineering (GATE) Syllabus | Mathematics

Linear Algebra: Finite dimensional vector spaces. Linear transformations and their matrix representations, rank; systems of linear equations, eigenvalues and eigenvectors, minimal polynomial, Cayley-Hamilton theorem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices. Finite dimensional inner product spaces, self-adjoint and Normal linear operators, spectral theorem, Quadratic forms.

(Syllabus) GATE Syllabus for Mathematics

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GATE Syllabus for Mathematics

Linear Algebra: Finite dimensional vector spaces; Linear transformations and their matrix representations, rank; systems of linear equations, eigen values and eigen vectors, minimal polynomial, Cayley-Hamilton Theroem, diagonalisation, Hermitian, Skew-Hermitian and unitary matrices; Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, self-adjoint operators.

(Admission) GITAM University Visakhapatnam Research Admission 2009

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College/Location: 

http://iitportal.com/community/files/GITAM.JPG

GITAM University Visakhapatnam Research Admission 2009

GITAM University Visakhapatnam
(Estd u/s 3 of UGC Act, 1956)
Gandhi Nagar Campus, Rushikonda, Visakhapatnam-530045, A.P. India, Epabx: 0891-2790101, 2840525, 2840506, Fax: 0891-2795312

(Admission) Central University of Rajasthan : PG Admissions 2009 in Statistics & Maths

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PG Admissions 2009 in Statistics & Maths - Central University of Rajasthan

Central University of Rajasthan invites applications for admissions to the following post-graduate programmes from students all over India:

1. M.Sc./M.A. Statistics(Actuarial),
2. M.Sc.Tech. Mathematics,

Eligibity Criteria
(i) M.Sc./M.A. Statistics (Actuarial): Any graduate of a recognized University having Statistics as one of the subjects, studied for at least two years, with a

(Event) MAA Washington Technical Festival 2009 on Maths

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Event : MAA Washington Technical Festival 2009 on Maths

 

Technical festival 2009 on Math at The Mathematical Association of America Washington, DC

The Mathematical Association of America(MAA)
1529 18th Street NW
Washington, DC 20036
Phone: 202-387-5200

MathFest 2009

(Syllabus) IIT-JEE 2007 Mathematics Syllabus

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Syllabus : IIT-JEE 2007 Mathematics Syllabus

 

Algebra: Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

(Admission) Indian Institute of Aircraft Engineering (IIAE) ADMISSIONS 2009-2010

Indian Institute of Aircraft Engineering (IIAE) ADMISSIONS 2009-2010

Indian Institute of Aircraft Engineering (IIAE)
Approved by D.G.C.A. Govt. of India, Ministry of Civil Aviation for AME course
A 191, Road No. 4, Lane No. 8, Mahipalpur Extension, NH - 8 - New Delhi
Phone-No: 011 - 30627411, 30627412, 30627401, 26784543, Mobile: 9312438831
Fax: 011 – 30627410 ; Email:
mail@iiae.in; admin@iiae.in ;

(Syllabus) BITSAT Exam Syllabus - mathematics

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Syllabus : BITSAT Exam Syllabus - mathematics

1. Algebra

1. Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations.

2. Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations.

(Paper) VITEEE 2007 Question Paper With Solution (PHYSICS, CHEMISTRY, MATHS)

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Paper : VITEEE 2007 Question Paper With Solution

Download Attachment (Given Below) :-

 

(Syllabus) Joint Admission Test (JAM) Syllabus for Mathematics (MA) : 2009

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Joint Admission Test (JAM) Syllabus for Mathematics (MA) : 2009

Sequences, Series and Differential Calculus:

  • Sequences of real numbers.
  • Convergent sequences and series, absolute and conditional convergence.
  • Mean value theorem.
  • Taylor 's theorem.
  • Maxima and minima of functions of a single variable.
  • Functions of two and three variables.
  • Partial derivatives, maxima and minima.

Integral Calculus:

(Syllabus) Joint Admission Test (JAM) Syllabus for Mathematical Statistics (MS) : 2009

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Joint Admission Test (JAM) Syllabus for Mathematical Statistics (MS) : 2009

The Mathematical Statistics (MS) test paper comprises of Mathematics (40% weightage) and Statistics (60% weightage).

Mathematics:

Sequences and Series:

  • Convergence of sequences of real numbers, Comparison, root and ratio tests for convergence of series of real numbers.

Differential Calculus:

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