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.
Mode of Exam
Computer Based Test (CBT)
Medium of Exam
Duration of Exam
Number of Questions
Type of Questions
Multiple choice questions
+4 for every correct response
-1 for every incorrect response
0 for no response
Probable Weightage of Marks per Subject
No. of Questions
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
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
Partial differentiation up to second order
Computation of Taylor Maclaurin’s series of functions
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
Definitions and techniques for finding asymptotes singular points
Convergence of a sequence and algebra of convergent sequences
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 likecone, ellipsoid
Reflection properties of parabola, ellipse and hyperbola
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
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
Definition and examples of groups, examples of abelian and nonabelian groups
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
Order of an element
Subgroups, cyclic subgroups, the concept of a subgroup generated by a subset and the commutator subgroup of group
Index of subgroup
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
Definition and examples of rings
Ring of real quaternions
Rings from number systems
Rings of continuous functions
Examples of commutative and noncommutative rings
Zn the ring of integers modulo n
Field of rational functions
Rings of matrices
Subrings and ideals
Integral domains and fields
Integrability of continuous and monotonic functions
Definition in terms of Power series and their properties of exp (x), sin (x), cos (x)
Pointwise and uniform convergence
Sequences and series of functions
Positive term series
Change or order of limits
Definition and examples of absolute and conditionalconvergence
Cauchy convergence criterion for series
Power Series: radius of convergence
Convergence of p-series
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
Suprema and infima
Examples of countable and uncountable sets
Order preservation and squeeze theorem
Statement of order completeness property of R
Constants and variables
Operators and expressions
Boolean circuits and their simplification
Use of functions
Problem-solving using basic concepts of arithmetic, algebra, geometry and dataanalysis
Reading comprehension and correct usage of the English language
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