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First Year BCA (Under Science) Semester- I, , Course Code: DSC3A. Course Title:Basics of Mathematics - I, Total Contact Hours: 30 Hrs. Total Marks: 50 (30 Lectures), Teaching Scheme: Theory 2.5 Lect. /Week Total Credits: 02, , , , Unit No., , Description, , Number, of, Lectures, , , , Unit, , Basics of Matrices, , Definition, order, types of matrices: square matrix, rectangular matrix, diagonal, matrix, scalar matrix, upper triangular matrix, lower triangular matrix,, symmetric matrix, skew symmetric matrix, identity matrix, row matrix, column, matrix, transpose of a matrix, inverse of a matrix,, , Algebra of matrices: addition, subtraction, scalar multiplication, matrix, multiplication., , , , 10, , , , Unit-I, , Sets and Relations, , Definition: Set, Subset, power set, disjoint sets , Operations on sets : Union,, Intersection , Complement , Difference , Symmetric difference, Algebraic, properties of set operations: Commutative laws , Distributive laws, Associative, laws , DeMorgan’s laws , Cardinality of set., , Relation :Definition of Cartesian product , relation,, , Types of relation: void, untversal, identity, reflexive, symmetric, transitive,, equivalence, anti-symmetric, partial ordering, asymmetric, Matrix, representation of relation, Graphical representation (digraph) of relation, Indegree and out-degree of a_vertex, Transitive closure: Warshall's algorithm, , 12, , , , Unit-IIL, , , , , , Elementary logic, Prepositional Calculus: Proposition- Simple statement, Compound statement,, Logical connectives, Disjunction, Conjunction , Negation , Implication, Double, Implication, Converse, inverse and contra positive of conditional statement,, truth tables, tautology, Contradiction & neither, commutative laws, associative, laws, distributive laws, Demorgan’s laws, logical equivalence., , , , , , Books Recommended:, , 1) Introductory Methods of Numerical Analysis-S.S. Sastry Prentice Hall), , 2. Computer Oriented Numerical Methods. — Rajaraman, , 3. Elements of Discrete Mathematics- C.L.Liu, , 4, Discrete Mathematical structure for Computer Science-Alan Doerr and K.Levessuer, 5. Discrete mathematics & its applications- K. Rosen