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GATE Electronics & Communication Vol-2- Engineering Mathematics by R K Kanodia & Ashish Murolia

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GATE Electronics & Communication Vol-2- Engineering Mathematics by R K Kanodia & Ashish Murolia

CHAPTER 1 MATRIX ALGEBRA

1.1 INTRODUCTION

1.2 MULTIPLICATION OF MATRICES

1.3 TRANSPOSE OF A MATRIX

1.4 DETERMINANT OF A MATRIX

1.5 RANK OF MATRIX

1.6 ADJOINT OF A MATRIX

1.7 INVERSE OF A MATRIX

1.7.1 Elementary Transformations

1.7.2 Inverse of Matrix by Elementary Transformations

1.8 ECHELON FORM

1.9 NORMAL FORM

EXERCISE 1

SOLUTIONS 1

CHAPTER 2 SYSTEMS OF LINEAR EQUATIONS

     EXERCISE 2

     SOLUTIONS 2

CHAPTER 3 EIGENVALUES AND EIGENVECTORS

      EXERCISE 3

      SOLUTIONS 3

CHAPTER 4 LIMIT, CONTINUITY AND DIFFERENTIABILITY

 

     EXERCISE 4

     SOLUTIONS 4

CHAPTER 5 MAXIMA AND MINIMA

     EXERCISE 5

     SOLUTIONS 5

CHAPTER 6 MEAN VALUE THEOREM

     EXERCISE 6

     SOLUTIONS 6

CHAPTER 7 PARTIAL DERIVATIVES

      EXERCISE 7

      SOLUTIONS 7

CHAPTER 8 DEFINITE INTEGRAL

      EXERCISE 8

      SOLUTIONS 8

CHAPTER 9 DIRECTIONAL DERIVATIVES

      EXERCISE 9

      SOLUTIONS 9

CHAPTER 10 FIRST ORDER DIFFERENTIAL EQUATIONS

     EXERCISE 10

     SOLUTIONS 10

CHAPTER 11 HIGHER ORDER DIFFERENTIAL EQUATIONS

     EXERCISE 11

     SOLUTIONS 11

CHAPTER 12 INITIAL AND BOUNDARY VALUE PROBLEMS

     EXERCISE 12

      SOLUTIONS 12

CHAPTER 13 PARTIAL DIFFERENTIAL EQUATION

     EXERCISE 13

     SOLUTIONS 13

CHAPTER 14 ANALYTIC FUNCTIONS

     EXERCISE 14

     SOLUTIONS 14

CHAPTER 15 CAUCHY’S INTEGRAL THEOREM

   EXERCISE 15

   SOLUTIONS 15

CHAPTER 16 TAYLOR’S AND LAURENT’S SERIES

    EXERCISE 16

    SOLUTIONS 16

CHAPTER 17 PROBABILITY

     EXERCISE 17

    SOLUTIONS 17

CHAPTER 18 RANDOM VARIABLE

    EXERCISE 18

    SOLUTIONS 18

CHAPTER 19 STATISTICS

    EXERCISE 19

    SOLUTIONS 19

CHAPTER 20 CORRELATION AND REGRESSION ANALYSIS

    EXERCISE 20

    SOLUTIONS 20

CHAPTER 21 SOLUTIONS OF NON-LINEAR ALGEBRAIC EQUATIONS

        EXERCISE 21

        SOLUTIONS 21

CHAPTER 22 INTEGRATION BY TRAPEZOIDAL AND SIMPSON’S RULE

     EXERCISE 22

    SOLUTIONS 22

CHAPTER 23 SINGLE AND MULTI STEP METHODS FOR DIFFERENTIAL EQUATIONS

    EXERCISE 23

    SOLUTIONS 23

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