Spread Knowledge

Discrete Mathematics - MTH202 - VU Video Lectures

View Video
2438 Views
Rated 3
What is Discrete Mathematics?, Logic, Simple Statements, Compound Statements, Negation, Conjunction, Disjunction.
View Video
1012 Views
Rated 3
Truth Tables, De morgan’S Laws, Tautology.
View Video
1278 Views
Rated 3
Applying laws of logic, Conditional statements, Negation of conditional statement, Invers of conditional statement, Converse of conditional statement, Contrapositive of conditional statement.
View Video
693 Views
Rated 3
Biconditional, Laws of logic.
View Video
682 Views
Rated 3
Argument, Valid and Invalid argument.
View Video
646 Views
Rated 3
Switches in series, Switches in parallel, AND-gate, OR-gate, Combinational circuite, Determining output.
View Video
1113 Views
Rated 3
Set, Tabular form, Descriptive form, Set builder form, Subset, Proper subset, Equal set, Null set, Universal set, Venn diagram, Finite and Infinite set.
View Video
671 Views
Rated 3
Union, Intersection, Difference, Complement.
View Video
516 Views
Rated 3
Set identities.
View Video
608 Views
Rated 3
Exercise, Partition of set, Power set.
View Video
786 Views
Rated 3
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.
View Video
1205 Views
Rated 3
Reflexive relation, Directed graph of reflexive relation, Symmetric relation, Directed graph of Symmetric relation, Transitive relation, Directed graph of transitive relation, Equivalence relation.
View Video
1418 Views
Rated 3
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.
View Video
1016 Views
Rated 3
Inverse of relation, Arrow diagram of inverse relation, Matrix representation of inverse relation, Complementry relation, Composite relation.
View Video
639 Views
Rated 3
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.
View Video
1159 Views
Rated 3
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.
View Video
542 Views
Rated 3
Equality of functions, Inverse of functions, Composition of functions.
View Video
551 Views
Rated 3
Real-valued functions, Product of functions, quotient functions.
View Video
563 Views
Rated 3
Sequence, Arithmetic and Geometric sequence.
View Video
563 Views
Rated 3
Series, Arithmetic and Geometric series, Infinite geometric series.
View Video
1095 Views
Rated 3
Recursion, Recursively defined function, Factorial function, Fibonacci sequence, Recurrence relation, Use of recursion.
View Video
594 Views
Rated 3
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.
View Video
1089 Views
Rated 3
Principal of mathematical induction.
View Video
589 Views
Rated 3
Mathematical induction for divisibility problems and inequality problems.
View Video
1247 Views
Rated 3
Methods of proofs, Direct proof, Indirect proof, Proof by counter example.
View Video
567 Views
Rated 3
Proof by contradiction, proof by contraposition.
View Video
614 Views
Rated 3
Algorithm, Quotient-remainder theorem, Pre-conditions and Post-conditions, Loop invariants.
View Video
545 Views
Rated 3
Loop to compute product, Division algorithm, Euclidean algorithm.
View Video
587 Views
Rated 3
Combinatorics, Sum rule, product rule.
View Video
1154 Views
Rated 3
factorial of positive integer, Counting formulas, Formula for k-sample, k-permutation, Formula for k-permutation,
View Video
910 Views
Rated 3
k-combination, Permutations and combinations, k-selections.
View Video
567 Views
Rated 3
K-selections, Ordered and unordered partition, Generalized permutation.
View Video
544 Views
Rated 3
Tree diagram, Inclusion and Exclusion principle.
View Video
581 Views
Rated 3
Inclusion and Exclusion principle for 3 and 4 sets, Pigeonhole principle.
View Video
632 Views
Rated 3
Introduction to probability.
View Video
486 Views
Rated 3
Addition law of probability, Probability of sub event.
View Video
466 Views
Rated 3
Conditional probability, Multiplication theorem, Independence.
View Video
469 Views
Rated 3
Random variable, Probability distribution,Expectation,Variance and Standard derivation of random variable.
View Video
1086 Views
Rated 3
Introduction to graphs, Handshaking theorem.
View Video
544 Views
Rated 3
Paths and Circuites, Konigsberg bridges problem.
View Video
503 Views
Rated 3
Matrix representation of graphs.
View Video
540 Views
Rated 3
Isomorphism of graphs, Theorem of isomorphic invariant.
View Video
520 Views
Rated 3
Planar graph, Euler’s Formula, Graph coloring.
View Video
599 Views
Rated 3
Tree, Properties of tree, Rooted tree, Binary tree.
View Video
512 Views
Rated 3
Spanning trees, Kirchhoff's theorem Or Matrix-tree theorem, Prim's algorithm.