DU MCA Syllabus 2019
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DU MCA Syllabus 2019: The University of Delhi (DU) has released the DU MCA 2019 syllabus for the convenience of the aspiring candidates. The DU MCA syllabus 2019 includes the subjects and their respective topics which will be assessed in the entrance exam of DU MCA. The online exam is will be held in the third week of June 2019 tentatively. According to the DU MCA 2019 syllabus, the question paper consists of four sections, namely- Mathematics, English, Logical Ability and Computer Science. According to previous years’ papers, mathematics is likely to have the most number of questions. Thus, candidates must make it a point to go through the syllabus of DU MCA 2019 and practice math problems on a daily basis. As per the DU MCA exam pattern 2019, the entrance test will be held for a duration of two hours and the questions will be in English only. To know more about DU MCA syllabus 2019, read the article below.

DU MCA Exam Pattern 2019

Knowing the exam pattern will give the candidates a fair idea of what the questions in the entrance exam of DU MCA 2019 would be like. The question paper will be divided into four subjects/ sections, namely- Mathematics, English, Logical Ability and Computer Science. Check the tables below to know the distribution of marks, mode of conduction, medium, type of questions, marking scheme, etc.

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DU MCA Exam Pattern 2019

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

Probable Weightage of Marks per Subject

Section

No. of Questions

Marks

Mathematics

30

120

English

10

40

Logical Ability

6

24

Computer Science

4

16

Total

50

200

DU MCA 2019 Syllabus

Candidates can check the syllabus of DU MCA 2019 below to know the topics that will be questioned in the exam. Knowing the DU MCA syllabus 2019 is the first step towards preparing well to achieve a desirable result. 

DU MCA Syllabus 2019

MATHEMATICS

Calculus

Limit and continuity of a function

Properties of continuous functions including intermediate value theorem

Functions of two variables

Lagrange’s mean value theorem

Graphs of polynomial, trigonometric, inverse trigonometric, exponential, logarithmic and hyperbolic functions

Graphs and Level Curves of functions of two variables

Rectification

Differentiability

Leibnitz theorem

Partial differentiation up to second order

Uniform continuity

Rolle’s theorem

Successive differentiation

Computation of Taylor Maclaurin’s series of functions

Volumes Sequences

Integration of irrational functions

Formation and solution of Differential equations arising in population growth, radioactive decay, administration of medicine and cell division

Recursion formulae for higher derivative

Cauchy mean value theorem

Tracing of standard curves

Reduction formulae

Definitions and techniques for finding asymptotes singular points

Convergence of a sequence and algebra of convergent sequences

Quadrature

Geometry and Vector Calculus

Classification of quadratic equations representing lines, parabola, ellipse and hyperbola

Spheres, Cylindrical surfaces

Differentiation of vector-valued functions, gradient, divergence, curl and their geometrical interpretation

Techniques for sketching parabola, ellipse and hyperbola

Illustrations of graphing standard quadric surfaces like
cone, ellipsoid

Reflection properties of parabola, ellipse and hyperbola

Matrices

Matrices in diagonal form

Translation, Dilation, Rotation, Reflection in a point, line and plane

Rank of matrix

R, R2, R3 as vector spaces over R

Matrix form of basic geometric transformations

Concept of Linear Independence

Interpretation of eigenvalues and eigenvectors

Reduction to diagonal form up to matrices of order 3

Computation of matrix inverses using elementary row operations

Solutions of a system of linear equations using matrices

Algebra

Statement of the Fundamental Theorem of Algebra and its consequences

De Moivre’s theorem for rational indices and its simple applications

Geometrical representation of addition, subtraction, multiplication and division of complex numbers

Lines half planes, circles, discs in terms of complex variables

Groups

Definition and examples of groups, examples of abelian and nonabelian groups

Lagrange’s theorem

Groups of symmetries of 

(i) an isosceles triangle, 

(ii) an equilateral triangle, 

(iii) a rectangle, and 

(iv) a square

Normal subgroups: their definition, examples, and characterizations

Cyclic groups from number systems

Group of quaternions

Cosets

Order of an element

Subgroups, cyclic subgroups, the concept of a subgroup generated by a subset and the commutator subgroup of group

Quotient groups

Index of subgroup

Vector spaces

Definition and examples of vector spaces


Linear Transformations on real and complex vector spaces


Subspaces and its properties


Invariance of basis size


Dimension of a vector space


Linear independence

Rings

Definition and examples of rings

Ring of real quaternions

Rings from number systems

Rings of continuous functions

Examples of commutative and noncommutative rings

Polynomial rings

Zn the ring of integers modulo n

Field of rational functions

Rings of matrices

Subrings and ideals

Integral domains and fields

Riemann Integration

Riemann integral

Integrability of continuous and monotonic functions

Infinite Series

Comparison test

Ratio test

Infinite series

Definition in terms of Power series and their properties of exp (x), sin (x), cos (x)

Pointwise and uniform convergence

Leibnitz’s test

Sequences and series of functions

M-test

Root test

Alternating series

Positive term series

Change or order of limits

Definition and examples of absolute and conditional
convergence

Cauchy convergence criterion for series

Power Series: radius of convergence

Geometric series

Convergence of p-series

Real Sequences

Bounded sets

Archimedean property of R

Cauchy convergence criterion for sequences

Finite and infinite sets

Monotone sequences and their convergence

Concept of cluster points and statement of Bolzano Weierstrass’ theorem

Cauchy’s theorem on limits

Real line

Suprema and infima

Examples of countable and uncountable sets

Order preservation and squeeze theorem

Statement of order completeness property of R

COMPUTER SCIENCE

Constants and variables

Scope

Data representation

Arrays

Operators and expressions

Boolean circuits and their simplification

Control structures

C-programming: Data
types

Use of functions

LOGICAL ABILITY

Problem-solving using basic concepts of arithmetic, algebra, geometry and data
analysis

ENGLISH COMPREHENSION

Reading comprehension and correct usage of the English language

Click Here to download DU MCA Syllabus 

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