## DU MCA REGISTRATION FORM OUT NOW!

## University of Delhi MCA Admission 2022 (DUET)

### Course Details

The Master of Computer Applications (MCA) programme, introduced in the year 1982, has been formulated to provide a unique environment for mastering the various disciplines of computer science and is an attempt to produce complete professionals for the IT industry. The MCA programme is a 3-year full-time course consisting of 6 semesters. The last semester is devoted to a professional training project in the industry. The curriculum enables mastering the fundamentals of computing and gives an opportunity to gain an in-depth knowledge of a broad range of topics. The emphasis is on the understanding and ability to apply the principles of computing which make the students well equipped for future work environment. Hands-on approach is taken to help students develop expertise under the guidance of erudite teaching staff. Guest lectures, case studies and presentations are organised from time to time to give an insight into the latest development and happenings in the industry.

### Eligibility Criteria

Category Id | Course Requirements | Marks Requirements |

1 | Any bachelor degree from the University of Delhi or any other University whose examination is recognized as equivalent to that of University of Delhi with at least one paper in Mathematical Sciences (Mathematics, Computer Science, Statistics, Operational Research) under annual mode/at least two papers in Mathematical Sciences (Mathematics, Computer Science, Statistics, Operational Research) in semester mode. | 60% marks in aggregate or equivalent of CGPA as per University norms wherever it is applicable. |

*Note:1. The candidates who are appearing in the final year examinations of the degree on the basis of which admission is sought are also eligible to apply (Relaxation will be given to the candidates belonging to SC, ST and OBC category as per the University rules).*

**Eligibility:** As per the Bulletin of Information

### Upcoming Dates and Events

Events | Dates 2022 |

Starting of application form | 6th April 2022 |

Last date for submission | 15th May 2022 |

Admit card | Last week of May 2022 |

Exam date | 1st week of June 2022 |

Declaration of result | June/ July 2022 |

Group discussion/ interview | July 2022 |

1^{st} allotment list release date | July 2022 |

Document verification | Last week of July 2022 |

Commencement of classes | In month of September 2022 |

### DUET 2022 Application Process

- All the candidates seeking admission to the Postgraduate (PG) programs are required to register online.

- There is a common web portal dedicated to the Registration of candidates and a common Registration Form for admission to all the Postgraduate Programs in the University. Online Registration details are

available on:**http://www.admission.uod.ac.in/**

- A first time user, in order to access PG Admission Portal, need to register on the portal. With a valid email ID he / she can easily register and generate login details by clicking on ―
**New User Registration button.**

❖ Candidates who do not have a valid e-mail ID must create an e-mail ID before proceeding.

❖ Click**Help**tab on the Portal to view the**Step by Step Instructions to fill the Registration Form.**

❖ In the ‘Login details’, every candidate will furnish his / her personal details (strictly as given in his/ her original certificates), e-mail ID and mobile number (10 digit number without any prefix), which will be used for future correspondence, and will create a password (of maximum six characters).

❖ Please ascertain that all the details given in the form are complete and correct, because the same will be used throughout the admission procedure and subsequently after Admission too. - On successful submission of the required details a confirmation link will be generated on the given e-mail ID, and the candidate would confirm his / her Registration by clicking the link.

- The candidate needs to keep both USERNAME (e-mail ID) and PASSWORD handy because it will be required to access his / her account on the portal as well as for all the future correspondence throughout the admission process.
- The candidate is required to re-login to the portal using ‘USERNAME’, ‘PASSWORD’ or ‘MOBILE

NUMBER’ and ‘OTP’ and complete the Registration Form. He / she needs to upload the following items:

❖ His/her Passport size Photograph (maximum size: 50 KB; Formats: JPG / JPEG / PNG)

❖ His/her Scanned Signature (maximum size: 50 KB; Formats: JPG / JPEG / PNG)

❖ His/her final statement of marks of the qualifying examination - The candidate also needs to furnish details of his/her Identity Proof (with photograph) and is required to upload the scanned copy of the same. This can be any one of the following documents:

Aadhaar Card (with photograph) / Voter‘s Identity Card / PAN Card / Passport / Driving License - The uploaded files can be checked and, if required, can be replaced before submission. Once all the abovementioned files are duly uploaded, the candidate can proceed with ―”Submit My Profile”.
- The candidate, thereafter, will proceed with ―‗‗Apply in New Program‖, and will provide his/hereducational details, the details of the program in which he/she is applying, as well as the Admission

Criteria (MERIT BASED, ENTRANCE TEST BASED or BOTH MERIT & ENTRANCE TEST BASED as applicable). - The candidate can save his / her details by clicking ―‖Save Application‖ and check the details filled in the form.
- After furnishing all the required details and documents, the candidate can proceed with any one of the three options available at the bottom of the page: ‘EDIT’, ‘PAY FEE’ & ‘MY HOME’.
- The Application Fee can be paid through any one of the available online payment options: Net Banking, Debit Card, Credit Card, and UPI.
- The Registration will be considered complete only after the realization of online payment.

- A candidate who wishes to apply for more than one program will fill the same Registration Form for each program but need to pay separately for each program.

### Syllabus For MCA Online Test

**The syllabus for the MCA Entrance Test would be as follows:**

**Mathematics: Calculus**

Limit and continuity of a function: (ε-δ and sequential approach). Properties of continuous functions including intermediate value theorem, Differentiability, Rolle’s theorem, Lagrange’s mean value theorem, Cauchy mean value theorem with geometrical interpretations. Uniform continuity. Definitions and techniques for finding asymptotes singular points, Tracing of standard curves. Integration of irrational functions. Reduction formulae. Rectification. Quadrature. Volumes Sequences to be introduced through the examples arising in Science beginning with finite sequences, followed by concepts of recursion and difference equations. For instance, the sequence arising from Tower of Hanoi game, the Fibonacci sequence arising from branching habit of trees and breeding habit of rabbits. Convergence of a sequence and algebra of convergent sequences. Illustration of proof of convergence of some simple sequences such as (–1)n /n, I/n2 , (1+1/n)n , sin n/n, xn with 0 < x < 1. Graphs of simple concrete functions such as polynomial, trigonometric, inverse trigonometric, exponential, logarithmic and hyperbolic functions arising in problems or chemical reaction, simple pendulum, radioactive decay, temperature cooling/heating problem and biological rhythms. Successive differentiation. Leibnitz theorem. Recursion formulae for higher derivative. Functions of two variables. Graphs and Level Curves of functions of two variables. Partial differentiation upto second order. Computation of Taylor’s Maclaurin’s series of functions such as ex , log(1 + x), sin (2x), cos x. Their use in polynomial approximation and error estimation. Formation and solution of Differential equations arising in population growth, radioactive decay, administration of medicine and cell division.4 **Calculus**.

**Geometry and Vector Calculus:**

Techniques for sketching parabola, ellipse and hyperbola. Reflection properties of parabola, ellipse and hyperbola. Classification of quadratic equations representing lines, parabola, ellipse and hyperbola. Differentiation of vector valued functions, gradient, divergence, curl and their geometrical interpretation. Spheres, Cylindrical surfaces. Illustrations of graphing standard quadric surfaces like cone, ellipsoid.

**ALGEBRA**

**Complex Numbers:** Geometrical representation of addition, subtraction, multiplication and division of complex numbers. Lines half planes, circles, discs in terms of complex variables. Statement of the Fundamental Theorem of Algebra and its consequences, De Moivre’s theorem for rational indices and its simple applications.

**Matrices:** R, R2 , R3 as vector spaces over R. Standard basis for each of them. Concept of Linear Independence and examples of different bases. Subspaces of R2 , R3 . Translation, Dilation, Rotation, Reflection in a point, line and plane. Matrix form of basic geometric transformations. Interpretation of eigenvalues and eigenvectors for such transformations and eigenspaces as invariant subspaces. Matrices in diagonal form. Reduction to diagonal form upto matrices of order 3. Computation of matrix inverses using elementary row operations. Rank of matrix. Solutions of a system of linear equations using matrices. Illustrative examples of above concepts from Geometry, Physics, Chemistry, Combinatorics and Statistics.

**Groups**: Definition and examples of groups, examples of abelian and nonabelian groups: the group Zn of integers under addition modulo n and the group U (n) of units under multiplication modulo n. Cyclic groups from number systems, complex roots of unity, circle group, the general linear group GL (n,R), groups of symmetries of (i) an isosceles triangle, (ii) an equilateral triangle, (iii) a rectangle, and (iv) a square, the permutation group Sym (n), Group of quaternions, Subgroups, cyclic subgroups, the concept of a subgroup generated by a subset and the commutator subgroup of group, examples of subgroups including the center of a group. Cosets, Index of subgroup, Lagrange’s theorem, order of an element, Normal subgroups: their definition, examples, and characterizations, Quotient groups.

** Rings**: Definition an examples of rings, examples of commutative and noncommutative rings, rings from number systems, Zn the ring of integers modulo n, ring of real quaternions, rings of matrices, polynomial rings, and rings of continuous functions. Subrings and ideals, Integral domains and fields, examples of fields: Zp , Q, R, and C. Field of rational functions.

**Vector spaces**: Definition and examples of vector spaces. Subspaces and its properties Linear independence, basis, invariance of basis size, dimension of a vector space. Linear Transformations on real and complex vector spaces: definition, examples, kernel, range, rank, nullity, isomorphism theorems.

**Real Analysis**

** Real Sequences**: Finite and infinite sets, examples of countable and uncountable sets. Real line, bounded sets, suprema and infima, statement of order completeness property of R, Archimedean property of R, intervals. Concept of cluster points and statement of Bolzano Weierstrass’ theorem. Cauchy convergence criterion for sequences. Cauchy’s theorem on limits, order preservation and squeeze theorem, monotone sequences and their convergence.

**Infinite Series:** Infinite series. Cauchy convergence criterion for series, positive term series, geometric series, comparison test, convergence of p-series, Root test, Ratio test, alternating series, Leibnitz’s test. Definition and examples of absolute and conditional convergence. Sequences and series of functions, Pointwise and uniform convergence. M-test, change or order of limits. Power Series: radius of convergence, Definition in terms of Power series and their properties of exp (x), sin (x), cos (x).

**Riemann Integration**: Riemann integral, integrability of continuous and monotonic functions.

** Computer Science**: Data representation, Boolean circuits and their simplification, C-programming: Data types, constants and variables, operators and expressions, control structures, use of functions, scope, arrays.

**Logical ability & English Comprehension**: Problem-solving using basic concepts of arithmetic, algebra, geometry and data analysis. Reading comprehension and correct usage of English language.

### Application Fees

**SC, ST, PwBD** Rs. 300/- **UR, OBC and EWS** Rs. 750/-

*The candidates are advised to fill their forms carefully. No correction after the submission of the form will be allowed. Social Category, Gender, and details of the Bank Account once selected/entered at the time of Registration will not be changed in any circumstance. Registration Fee once deposited will not be refunded / adjusted in any circumstances.*

### Scheme of Examination

**Mode of Examination** CBT (Computer Based Test) **Duration **2 Hours**Type of Questions ** Multiple Choice Question**Number of Questions **50**Marks per question ** 4 (four) for each correct response**Scoring **-1 negative marking for incorrect response**Medium of Paper** English

MCA entrance examination shall consist of 50 objective type questions to be solved in 02 hours. The approximate distribution of questions will be as given below:

English | 10 |

Mathematics | 30 |

Computer Science | 04 |

Logical Ability | 06 |

**Distribution of Seats (Category-Wise):**

Total Seats (General+SC+ST+OBC+EWS) – 58

Total Seats (General+SC+ST+OBC+EWS) – 58

Admission Criteria | Total | GEN | SC | ST | OBC | EWS | PWD (3%)* | CW (5%)* | Sports (Upto 5%) * |
---|---|---|---|---|---|---|---|---|---|

Entrance | 58 | 23 | 09 | 04 | 16 | 06 | 02 | 03 | 03 |

Merit | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 | 00 |

Foreign National (5%) | 03 | – |

*Note:**Supernumerary Seats (PWD, CW, Sports, Foreign National) are over and above the total number of seats. (As per the University rules)*