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DU MCA Syllabus 2023 - The concerned authorities at Delhi University will release the DU MCA entrance syllabus. The National Testing Agency will conduct the DU MCA entrance exam based on the official syllabus. The DU MCA 2023 syllabus will generally be divided into 4 subjects and the major part of MCA is covered by Mathematics. The DU MCA 2023 admissions will be done on the basis of candidate’s performance in the DUET. The following article consists of the detailed syllabus of DU MCA 2023. Aspirants can also find the link to the DU MCA syllabus 2023 PDF issued by Delhi University at the end of this article.
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Section | No. of Questions | Marks |
Mathematics | 30 | 120 |
English | 10 | 40 |
Logical Ability | 6 | 24 |
Computer Science | 4 | 16 |
Total | 50 | 200 |
Particulars | Details |
Mode of Exam | Computer Based Test (CBT) |
Medium of Exam | English |
Duration of Exam | 2 hours |
Number of Questions | 50 |
Type of Questions | Multiple choice questions |
Marking Scheme | +4 for every correct response -1 for every incorrect response 0 for no response |
Subject | Topic | Sub-Topic |
Mathematics (Calculus) | 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 | ||
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 | ||
Mathematics (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 propertie | ||
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 | ||
Mathematics (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 | ||
Correct usage of English language |
To check official DU MCA Syllabus pdf - Click Here
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Hi!
University of Delhi no longer accepts the scores of Delhi University Entrance Test (DUET) for admission to the MCom programme. The only way to take admission to the MCom in any of the regular college of Delhi University is through the CUET-PG conducted by the National Testing Agency. Getting admission in DU at 126 marks in CUET-PG is a difficult task if you belong to unreserved (general) category as DU regular colleges offering the MCom programme have limited number of seats. However, you might get an admission to the MCom programme at 126 marks if you belong to the reserved category. However, the cutoffs may vary every year depending upon various factors.
Hey!
As of now the dates for DUET 2022 have not yet been released. As soon as the datesheet comes, it will be followed by the admit card which will sooon be released by NTA. Keep checking the website for frequent updates.
All the best for your future pursuits.
Feel free to ask more questions and queries!
Hello Sagar,
Currently DU is conducting DUCUET UG exams in phases which is expected to end by 30th of August 2022. DUET PG exams date sheet is yet to be finalized by authorities and is expected to be held in the month of September.
Regarding the fee Of M. Sc. in Microbiology, it ranges between Rs. 3,860 - 68, 990, and this fee depends upon the college.
Also the best DU colleges for pursuing M. Sc. are Hindu College, Miranda House, Hansraj College, Daulat Ram College and SVC.
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