The syllabus of Master of Computer Applications (MCA) program as offered at KSOU or Karnataka State Open University is as follows:

Semester – I

MCA 11 Mathematics

Section 1 Sets

Unit - 1 Definition of sets, subsets, complement of a set, universal set.

Unit - 2 intersection and union of sets, De-Morgan’s laws, Cartesian products, Equivalent sets, Countable and uncountable sets, minset, Partitions of sets.
Section 2 Relations

Unit - 3 Basic definitions, graphs of relations, properties of relations.
Section 3 Matrix

Unit- 4 Introduction of a Matrix, its different kinds.

Unit- 5 matrix addition and scalar multiplication, multiplication of matrices, transpose etc.

Unit-6 Square matrices, inverse and rank of a square matrix.

Unit-7 solving simultaneous equations using Gauss elimination, Gauss Jordan Methods, Matrix Inversion method, Section 4 Algebra

Unit-8 Algebra of logic, Propositions, connectives.

Unit-9 Tautologies and contradiction, Equivalence and implication, Principle of Mathematical induction, quantifiers.

Attached Files

MCA at KSOU.pdf (413.3 KB, 268 views)