498 Views

What is Discrete Mathematics?, Logic, Simple Statements, Compound Statements, Negation, Conjunction, Disjunction.

121 Views

Applying laws of logic, Conditional statements, Negation of conditional statement, Invers of conditional statement, Converse of conditional statement, Contrapositive of conditional statement.

133 Views

Switches in series, Switches in parallel, AND-gate, OR-gate, Combinational circuite, Determining output.

186 Views

Set, Tabular form, Descriptive form, Set builder form, Subset, Proper subset, Equal set, Null set, Universal set, Venn diagram, Finite and Infinite set.

186 Views

Ordered pair, Ordered n-tuple, Cartesian product, Binary relation, Domin and Range of relation, Graph of relation, Arrow diagram of relation, Matrix representation of relation.

173 Views

Reflexive relation, Directed graph of reflexive relation, Symmetric relation, Directed graph of Symmetric relation, Transitive relation, Directed graph of transitive relation, Equivalence relation.

157 Views

Irreflexive relation, Directed graph of irreflexive relation, Matrix representation of irreflexive relation, Antisymmetric relation, Directed graph of antisymmetric relation, Matrix representation of antisymmetric relation, Partial order relation.

107 Views

Inverse of relation, Arrow diagram of inverse relation, Matrix representation of inverse relation, Complementry relation, Composite relation.

116 Views

Relations and Functions, Function, Arrow diagram of function, Functions and Nonfunctions, Function not well defined, Image of set, Inverse image of set,Binary opration, Not-gate.

135 Views

One-to-One function (Injective function), Graph of one-to-one function, ONTO function (Surjective function), Graph of onto function, Bijective function(one-to-one correspondence), Graph of bijective function, Identity function, Constant function.

110 Views

Equality of functions, Inverse of functions, Composition of functions.

94 Views

Real-valued functions, Product of functions, quotient functions.

148 Views

Series, Arithmetic and Geometric series, Infinite geometric series.

120 Views

Recursion, Recursively defined function, Factorial function, Fibonacci sequence, Recurrence relation, Use of recursion.

91 Views

Recursively defined set, Recursive definition of Boolean expression, Parenthesis structure, Set of arithmetic expressions, Recursive definition of sum, Recursive definition of union of sets, Recursive definition of intersection of sets.

111 Views

Mathematical induction for divisibility problems and inequality problems.

126 Views

Methods of proofs, Direct proof, Indirect proof, Proof by counter example.

96 Views

Algorithm, Quotient-remainder theorem, Pre-conditions and Post-conditions, Loop invariants.

112 Views

Loop to compute product, Division algorithm, Euclidean algorithm.

111 Views

factorial of positive integer, Counting formulas, Formula for k-sample, k-permutation, Formula for k-permutation,

81 Views

k-combination, Permutations and combinations, k-selections.

71 Views

K-selections, Ordered and unordered partition, Generalized permutation.

129 Views

Inclusion and Exclusion principle for 3 and 4 sets, Pigeonhole principle.

82 Views

Addition law of probability, Probability of sub event.

69 Views

Conditional probability, Multiplication theorem, Independence.

85 Views

Random variable, Probability distribution,Expectation,Variance and Standard derivation of random variable.

94 Views

Isomorphism of graphs, Theorem of isomorphic invariant.

87 Views

Tree, Properties of tree, Rooted tree, Binary tree.

102 Views

Spanning trees, Kirchhoff's theorem Or Matrix-tree theorem, Prim's algorithm.