Mathematics
Subject Overview
The opening paper of M.Sc IT rebuilds the discrete-math foundation the program's computing papers assume — number systems and radicals, set theory and its operations, propositional logic, and matrix algebra. A compact refresher paper covering representation, formulas and basic operations rather than advanced theory. A 4-credit core theory paper.
Unit-wise Syllabus
2 units — click WhatsApp below to get the full notes for each
Unit 1: Number systems and sets
Natural, integer, real, rational and irrational numbers, sums and products of rational numbers, integer exponents, radicals (square and cube roots and their simplification), set representation (roster and set-builder methods), types of sets (null, singleton, finite, infinite, equal, equivalent, disjoint, subset, power set, universal set), set operations (union, intersection, difference, symmetric difference, complement)
Unit 2: Logic and matrices
Logic statements and connectives, basic logic operations (conjunction, disjunction, negation), logical equivalence, tautologies and contradictions, types of matrices (row, column, rectangular, square, diagonal, scalar, unit, triangular, null), matrix algebra — scalar multiplication, addition, subtraction, multiplication and transpose