**GNDU Amritsar MCA Entrance Exam Syllabus 2021** will be released by Guru Nanak University, Amritsar. Guru Nanak University was established in 1969. GNDU University is the only university in Punjab to get the elite of “Category”-1 status by University Grants Commission(UGC). GNDU is situated at Amritsar, Punjab. The university is accredited at the “A++” grade by NAAC which is the highest level as per modified criteria. GNDU campus is spread over an area of 500 acres that presents a picture of modern architecture.

GNDU is offering various courses in the field of engineering and Commerce. The detailed syllabus pattern of the MCA entrance exam is mentioned in the article.

## GNDU Amritsar MCA Entrance Exam Syllabus 2021

Contains

There are two papers of MCA. One paper will include questions of Objective type and in the second paper, there will be short answer type questions. The detailed syllabus of the entrance exam conducted for admission in MCA is mentioned below.

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### Paper-1 Objective Type Questions

In paper-1, there will be 50 objective type questions carrying 1 mark each and the time allowed to solve the paper is 75 minutes. The syllabus is mentioned in the given below table.

Topic Name |
Content in topic |

General Mathematics | In this topic, questions will be asked on Mathematical Analysis- sets, rational numbers, real numbers, number line, intervals, division algorithm, basic properties of real numbers, complex numbers, relations and functions, basic elementary properties of functions |

Calculus | Questions on topics such as Limit, basic limit theorems, algebra of limits, sandwich theorem, L’ Hospital’s rule, continuity of a function at a point and in a closed interval, derivative and their properties, mathematical & geometric interpretation of differential, the differentials of some elementary functions, mean value theorems, some elementary integrals, integration by substitution and by parts, definite integrals |

Trigonometry | Questions in this topic are Measures of angles, the trigonometric function of an acute angle, reduction formulae, addition & subtraction formulae, inverse trigonometric functions, trigonometric equations, and their solutions. |

Statistics and Probability | Permutations and Combinations, nature and purpose of statistics, tabular & graphical representation of samples, variance, correlation, mathematical expectation, curve fitting, random experiments, probability, random variables. |

Vector | Questions to be asked in Paper-1 under vector are Scalar and vector quantities, Cross product and scalar product, the triple product of a vector. |

General Awareness | Important topics of Current Affairs, Events in Indian History and Important Scientific discoveries |

Mental Ability | Analytical and Logical Ability |

General English | English comprehension and English Vocabulary |

Computer Aptitude | Questions related to the basics of computer science and applications. |

Note: These are the basic information regarding the syllabus of Paper-1 in MCA entrance exam.

## Paper-2 Short Type Questions

In this paper, there will be 15 short type questions carrying 3 marks for each and one long question carrying 5 marks. Questions will come under Higher Mathematics and Computer subjects. The syllabus of higher mathematics is mentioned in the given below table.

Topic Name |
Contents |

Matrix and Determinants | Basics concepts of matrices, addition, scalar multiplication, multiplication, transpose and adjoint of a matrix, Rank of a matrix, System of linear equations, Inverse of a matrix, Eigen values and Eigen vectors and Cayley Hamilton theorem |

Calculus | It includes Successive differentiation, partial differentiation, convexity, concavity, asymptotes and curve tracing of curves of the form F(x,y)=0 and of curves given in the terms of parametric equations, theorems of derivatives of inverse functions, hyperbolic and inverse hyperbolic functions and their derivatives, curvature of a curve- Cartesian and parametric forms, definite integrals- Cartesian and parametric, computation of lengths of arcs and areas given under curves and the method of approximation- Simpson’s rule and trapezoidal rule. |

Co-ordinate Geometry | Coordinate systems, lines in a plane, circle, points of intersection of the line and a curve, pair of tangents from a point, pole and polar, chord of contact, equation of chord in term of the midpoint and diameter of conic, conjugate diameters, geometric transformations, special properties of parabola, ellipse and hyperbola, Transformation of axes, shifting of origin, rotation of axes, reduction of the equation of a second, S = ax2+2hxy+by2+2gx+2fy+c=0 to standard form through the transformation of coordinates. |

Linear Algebra | Definitions of a group, ring, and field with illustrations, vector space, linear independence and dependence, basis, row and column spaces of matrices and its connection with rank, Spaces of solutions of a system of linear homogeneous equations, linear transformations, and their algebra, connections between matrices and linear transformations, determinant, and trace of a linear transformation. |

Theory of Equations | Polynomials and its characteristics, roots of the equation, the relation between roots and coefficients, Transformation of an equation, solution of a cubic and biquadratic equations. |

Differential Equations | First order differential equations and their solution, Singular solution, geometrical interpretations and linear differential equation with constant coefficient |

Analysis | Divergence and convergence of a sequence and series of positive terms (Only standard tests). |

## GNDU Amritsar MCA Entrance Exam Computer Applications Syllabus

The syllabus of computer applications is mentioned in the given below table.

Topic Name |
Content |

DOS Fundamentals and PC Software | It includes concepts of files and directories, basic DOS commands, creation of batch files, configuring DOS, formatting of hard disk, MS Windows, features of Word processing package, creation, editing, formatting of the document, global search and replacement of text, printing, spelling checking, and mail merge, spreadsheets: graphs, statistical, financial, and mathematical functions, databases: creating a database file, indexing and sorting database file and managing multiple database files. |

Numericals Methods | Finding the root of a non-linear equation by using the bisection method, Newton-Raphson method, solutions of simultaneous linear equations, Gauss elimination method, Gauss-Siedel method, interpolation using Lagrange’s method, integration using the trapezoidal rule, Simpson’s rule, (numerical and algorithm type questions will be asked). |

Statistical Techniques | The arithmetic mean, standard deviation, linear regression and rank correlation. |

Programming Language | It includes basic programming concepts of FORTRAN and C. |

Data Structure | It includes Sorting and searching, stacks, queues, linked list, graphs and trees. |