Mathematics-I

Dr. Renuka Mahajan, Dr. Sandeep Kaur, Shitika Khanna

ISBN-9789351636625

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Punjab Technical University, BCA/B.Sc. (IT), 1st First Semester
Syllabus
 
(BSIT103/ BSBC103) MATHEMATICS – I
 
 
Section-A
 
Set Theory and Relations                                                           (12)
Sets- Elements of a Set, Methods of Describing a Set, Types of Sets, Operations on Sets- Union, Intersection and Difference of Sets, Venn Diagrams, Statement Problems, Associative Laws, Distributive Laws, DeMorgan’s Laws, Duality, Partitioning of a Set. Relation -Basic Definition of Relation and Types of Relations, Graphs of Relations, Properties of Relations, (Domain, Range, Inverse and Composite Relations), Matrix Representation of a Relation.
 
Section-B
 
Algebra of Logic, Mathematical Induction                               (12)
Propositions and Logic Operations, Truth Tables, Arguments and Validity of Arguments, Propositions Generated by a Set, Equivalence and Implication Laws of Logic, Mathematical System and Propositions Over a Universe, Quantifiers, Principle of Mathematical Induction.
 
Section-C
 
Graph Theory                                                                            (12)
Various Types of Graphs- Simple and Multi Graphs, Directed and Undirected Graphs, Eulerian and Hamiltonian Graphs, Graph Connectivity, Graph Traversals, Graph Optimizations, Graph Coloring, Trees, Spanning Trees.
 
Section-D
 
Recursion and Recurrence Relations, Binomial Theorem        (12)
Recursion, Many Faces of Recursion, Recurrence Relations, Some Common Recurrence Relations, Binomial Theorem-Binomial Theorem of Positive Index, General Term, Middle Terms, Particular Terms, and Terms From End.
PTU2015/BSC-IT/1/03
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