MATHEMATICS - 2
:: Author :: Mr. Kalpesh Vankani Christ College, Rajkot.
BHARAT & COMPANY The First ISBN Listed Educational Books Publishing Company in Saurashtra & Kachchh
Subject : Mathematics - 2 ISBN No. : 978-93-81786-80-2 1st Edition : 2014 - 15 Published by : Mr. Ketan Popat Bharat & Company, Dr. Yagnik Road, Rajkot - 360 001 Contect : 90990 27279 Š All rights are reserved by the Publisher and Authors.
` 105/Authorised Dealer : Bharat Book Stores,Opp. D.H.College, Dr. Yagnik Road, Rajkot - 360 001 Ph. (0281) 2481545 / 2465148 Printed at : Bharat Offset, Ahmedabad.
:: INDEX :: Foundation of Mathematics 1. Numbers 2. Symbol 3 Indices 4. Logarithm 5. Factors 6. Equation 7. Binomial Theorem 8. Permutation & Combination 9. Summation of Series 10. Coordinate Geometry 11. Trigonometry Identity 12. Cylinder Ch.1 Cylinder 1.1 Introduction 1.2 Cylinder 1.3 Equation of Cylinder 1.4 Equation of A Right Circular Cylinder
1.2 1.6 1.6 1.10
Ch.2 Concept of Matrix 2.1 Introduction 2.2 Definition of a matrix 2.3 Types of Matrices 2.4 Complex Matrices 2.5 Addition of Matrix 2.6 Scalar Multiplication of Matrix 2.7 Matrix Multiplication 2.8 Determinant of matrix 2.9 Inverse of Matrix
2.2 2.2 2.3 2.14 2.17 2.17 2.19 2.23 2.26
Ch.3 Rank of Matrix 3.1 Elementary transformation of a matrix 3.2 Reduction method for finding inverse of matrix 3.3 Vectors 3.4 Linear dependence 3.5 Rank of Matrix 3.6 Normal form of a matrix 3.7 Equivalence of Row and Column matrix
2 2 2 4 5 5 6 6 6 7 8 10
3.2 3.2 3.4 3.5 3.7 3.12 3.16
Ch.4 Eigen Values of Matrix 4.1 Characteristic Equation 4.2 Cayley-Hamilton Theorem 4.3 System of Linear Equations 4.4 Consistency of System of Linear Equations 4.5 Solution of Equation(Matrix Inverse Method)
4.2 4.17 4.25 4.30 4.41
Ch.5 Sequences 5.1 Introduction 5.2 Limit of A Sequence 5.3 Convergence of Sequence 5.4 Divergence of Sequence 5.5 Oscillatory Sequence 5.6 Bounded Sequences 5.7 Theorems on Convergent Sequences 5.8 Theorems on Divergent Sequences 5.9 Monotone Sequence 5.10 Subsequences 5.11 Cauchy Sequences
5.2 5.2 5.19 5.21 5.22 5.23 5.24 5.29 5.30 5.41 5.42
Ch.6 Complex Number 6.1 Introduction Complex Number 6.2 De Moiver's Theorem 6.3 Roots of A complex Number 6.4 To Expand sinn , cosn and tann in Power of sin , cos and tan Respectively (n being a positive integer) 6.5 To Expand sinm , cosn in A Series of Sines or Cosines of Multiple of 6.6 Expansion of sin , cos and tan in Terms of 6.7 Introduction Complex Function 6.8 Exponential Function 6.9 Circular Function 6.10 Hyperbolic Functions 6.11 Logarithmic Function 6.12 Inverse Hyperbolic Functions
6.2 6.5 6.19
6.35 6.42 6.50 6.54 6.54 6.58 6.62 6.88 6.104