On google knol publishing platform some more articles on algebra are posted.
http://knol.google.com/k/narayana-rao-kvss/knol-sub-directory-algebra-new-knols/2utb2lsm2k7a/1658#
Showing posts with label Algebra. Show all posts
Showing posts with label Algebra. Show all posts
Wednesday, September 23, 2009
Monday, October 22, 2007
STUDY GUIDE TMH JEE MATHEMATICS CH. 1. COMPLEX NUMBERS
JEE SYLLABUS
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
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Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
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CH. 2. THEORY OF EQUATIONS
JEE SYLLABUS
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
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Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
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STUDY GUIDE CH.3 PROGRESSIONS
JEE SYLLABUS
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.
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I started study of Mathematics(9 Jan 2008). The conceptual portion is very limited in TMH book. But the first problem in the examples itself is complicated. Every problem thereon is a complicated problem.
In Mathematics and Physics, the conceptual portion is going to be limited but the problems are going to be complicated. One has to sit down and do all the problems in examples and exercises to develop the sharp brain that can discover the structure in the problem given in the examination.
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.
------------------
I started study of Mathematics(9 Jan 2008). The conceptual portion is very limited in TMH book. But the first problem in the examples itself is complicated. Every problem thereon is a complicated problem.
In Mathematics and Physics, the conceptual portion is going to be limited but the problems are going to be complicated. One has to sit down and do all the problems in examples and exercises to develop the sharp brain that can discover the structure in the problem given in the examination.
STUDY GUIDE CH. 5 PERMUTATION AND COMBINATION
JEE SYLLABUS
Permutations and combinations,
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JEE Question 07
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
(A) 360 (B) 192 (C) 96 (D) 48
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JEE question
The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0, 0), (0, 21) and (21, 0), is
(A) 133 (B) 190
(C) 233 (D) 105
answer B
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Permutations and combinations,
-----------------
JEE Question 07
The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
(A) 360 (B) 192 (C) 96 (D) 48
-------------------------------
JEE question
The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0, 0), (0, 21) and (21, 0), is
(A) 133 (B) 190
(C) 233 (D) 105
answer B
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CH. 6. BINOMIAL EQUATION
JEE SYLLABUS
Binomial theorem for a positive integral index, properties of binomial coefficients.
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Binomial theorem for a positive integral index, properties of binomial coefficients.
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Study Guide Ch. 7 MATRICES
JEE SYLLABUS
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, 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.
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Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, 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.
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CH. 8 DETERMINANTS
JEE SYLLABUS
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.
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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.
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