KTU B.Tech S3 Syllabus Information Technology
MA201 Linear Algebra & Complex Analysis- DOWNLOAD
CS201 Discrete computational structures- DOWNLOAD
IT203 Data Communication- DOWNLOAD
CS205 Data structures- DOWNLOAD
IT231 Digital Circuits Lab- DOWNLOAD
HS210 Life Skills- DOWNLOAD
HS200 Business Economics- DOWNLOAD
CS231 Data structures Lab- DOWNLOAD
IT201 Digital System Design- DOWNLOAD
KTU B.Tech S3 Syllabus Information Technology for
CS201: DISCRETE COMPUTATIONAL STRUCTURES
Review of elementary set theory :
Algebra of sets – Ordered pairs and Cartesian products Countable and Uncountable sets
Relations on sets –Types of relations and their properties –Relational matrix and the
graph of a relation– Partitions –Equivalence relations – Partial ordering- Posets – Hasse diagrams – Meet and Join – Infimum and Supremum
Injective, Surjective and Bijective functions –Inverse of a function- Composition
Review of Permutations and combinations, Principle of inclusion exclusion, Pigeon Hole Principle,
Introduction- Linear recurrence relations with constant coefficients– Homogeneous solutions – Particular solutions –Total solutions
Semigroups and monoids – Homomorphism, Subsemigroups and submonoids
FIRST INTERNAL EXAM
Algebraic systems (contd…):-
Groups, definition and elementary properties, subgroups, Homomorphism and Isomorphism, Generators – Cyclic Groups, Cosets and Lagrange’s Theorem
Algebraic systems with two binary operations- rings, fields-sub rings, ring homomorphism
Lattices and Boolean algebra :-
Lattices –Sublattices – Complete lattices – Bounded Lattices – Complemented Lattices – Distributive Lattices – Lattice Homomorphisms.
Boolean algebra – sub algebra, direct product and homomorphisms
SECOND INTERNAL EXAM
Propositions – Logical connectives – Truth tables Tautologies and contradictions – Contra positive – Logical equivalences and implications
Rules of inference: Validity of arguments.
Predicates – Variables – Free and bound variables – Universal and Existential Quantifiers – Universe of discourse.
Logical equivalences and implications for quantified statements – Theory of inference : Validity of arguments.
Mathematical induction and its variants – Proof by Contradiction – Proof by Counter Example – Proof by Contra positive.
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