2842 Views

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

1399 Views

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

1276 Views

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

1533 Views

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

1724 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.

1390 Views

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

1443 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.

1215 Views

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

1269 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.

1266 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.

1459 Views

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

1076 Views

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

1197 Views

Series, Arithmetic and Geometric series, Infinite geometric series.

1243 Views

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

1068 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.

1124 Views

Mathematical induction for divisibility problems and inequality problems.

1204 Views

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

1168 Views

Proof by contradiction, proof by contraposition.

1223 Views

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

1565 Views

Loop to compute product, Division algorithm, Euclidean algorithm.

1119 Views

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

1092 Views

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

1065 Views

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

1508 Views

Tree diagram, Inclusion and Exclusion principle.

1168 Views

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

1341 Views

Addition law of probability, Probability of sub event.

1006 Views

Conditional probability, Multiplication theorem, Independence.

1263 Views

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

1291 Views

Paths and Circuites, Konigsberg bridges problem.

1101 Views

Isomorphism of graphs, Theorem of isomorphic invariant.

1199 Views

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

1172 Views

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