Syllabus of GATE Instrumentation Engineering(IN)

Instrumentation Engineering (IN)

Engineering Mathematics

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper

integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities,

Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems

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Syllabus of GATE for Computer Science and Information Technology

Computer Science and Information Technology (CS)

Engineering Mathematics

Mathematical Logic: Propositional Logic; First Order Logic.

Probability: Conditional Probability; Mean, Median, Mode and Standard Deviation; Random Variables;

Distributions; uniform, normal, exponential, Poisson, Binomial.

Set Theory & Algebra: Sets; Relations; Functions; Groups; Partial Orders; Lattice; Boolean Algebra.

Combinatorics: Permutations; Combinations; Counting; Summation; generating functions; recurrence

relations; asymptotics.

Graph Theory: Connectivity; spanning trees; Cut vertices & edges; covering; matching; independent

sets; Colouring; Planarity; Isomorphism.

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Syllabus of GATE for ECE

Electronics and Communication Engineering(EC)

Engineering Mathematics

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.

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Syllabus of GATE Electrical Engineering(EE)

Electrical Engineering(EE)

Engineering Mathematics

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.

Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy’s and Euler’s equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.

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Program to calculate the unknowns of simultaneous linear equations

#include<stdio.h>
#include<math.h>
int main()
{
int i,j,k,n;
float c,a[100][101],x[100];
printf("Enter the no. of variables:");

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C++ program to add two Complex no. using this pointer

#include<iostream>
using namespace std;
class Complex
{
private:
float real,imag;
public:
Complex():real(0),imag(0){}

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C++ program that illustrates the order of constructor and destructor invocation in nice way

#include<iostream>
using namespace std;
class Dept{
    private:
        int id;
        char name[30];
    public:
        Dept(){}

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program to store the information about students in file and retrieve information arranging in alphabetical order

#include<stdio.h>
#include<string.h>
int main()
{
    struct student
    {
        char name[20],address[20],phone[15];
        int roll;
    }s[20];
    int i,j,n;
    FILE *fp;

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Program to arrange the given names in ascending order

#include<stdio.h>
#include<string.h>
int main()
{
    int i,j,n;
    char name[15][20],temp[20];
    printf("Enter number of students:");
    scanf("%d",&n);

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program to find palindrome of a string

/*program to find palindrome of a string*/

#include<stdio.h>

#include<string.h>

int main()

{

    int i,j,len,flag=1;

    char string[100];

    printf("Enter a string:");

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Program to calculate the length of string without using string handling function

/*Program to calculate the length of string*/

/*without using string handling functions*/

#include<stdio.h>

int main()

{

    char string[100];

    int i,count=0;

    printf("Enter the string:");

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Program to display the prime numbers in the given range and show its count

#include<stdio.h>

int main()

{

    int i,j,a,b,m=0;

    printf("Enter the range:");

    scanf("%d%d",&a,&b);

    printf("The prime numbers in this range are:\n");

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Program to check whether the entered number is prime or not

#include<stdio.h>

int main( )

{

    int num, i ;

    printf ( "Enter a number:" ) ;

    scanf ( "%d", &num ) ;

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Program to find the factorial of a number using recursive function

#include<stdio.h>

int factorial(int);

int main()

{

    int n;

    printf("Enter the number:");

    scanf("%d",&n);

    printf("The factorial is %d",factorial(n));

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Program to find the transpose of the matrix of nth order

#include<stdio.h>

int main()

{

    int i,j,a[10][10],m,n;

    printf("Enter the no.of rows and columns:");

    scanf("%d%d",&m,&n);

    printf("\nEnter the elements of Matrix:\n");

    for(i=0;i< m;i++)

    for(j=0;j< n;j++)

    {

        printf("Enter element a[%d][%d]:",i+1,j+1);

        scanf("%d",&a[i][j]);

    }

    printf("\nThe original matrix is:\n");

    for(i=0;i< m;i++)

    {

    for(j=0;j< n;j++)

    {

     printf("%d\t",a[i][j]);

    }

    printf("\n");

    }

    printf("\nThe transposed matrix is:\n");

    for(i=0;i< n;i++)

    {

        for(j=0;j< m;j++)

        {

            printf("%d\t",a[j][i]);

        }

        printf("\n");

    }

    return 0;

}

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