  Discrete Mathematics - MTH202 - VU Video Lectures

2742 Views What is Discrete Mathematics?, Logic, Simple Statements, Compound Statements, Negation, Conjunction, Disjunction.
1680 Views Truth Tables, De morgan’S Laws, Tautology.
1323 Views Applying laws of logic, Conditional statements, Negation of conditional statement, Invers of conditional statement, Converse of conditional statement, Contrapositive of conditional statement.
1166 Views Biconditional, Laws of logic.
1319 Views Argument, Valid and Invalid argument.
1194 Views Switches in series, Switches in parallel, AND-gate, OR-gate, Combinational circuite, Determining output.
1459 Views Set, Tabular form, Descriptive form, Set builder form, Subset, Proper subset, Equal set, Null set, Universal set, Venn diagram, Finite and Infinite set.
1093 Views Union, Intersection, Difference, Complement.
1070 Views Set identities.
1236 Views Exercise, Partition of set, Power set.
1631 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.
1309 Views Reflexive relation, Directed graph of reflexive relation, Symmetric relation, Directed graph of Symmetric relation, Transitive relation, Directed graph of transitive relation, Equivalence relation.
1355 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.
1134 Views Inverse of relation, Arrow diagram of inverse relation, Matrix representation of inverse relation, Complementry relation, Composite relation.
1186 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.
1187 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.
1165 Views Equality of functions, Inverse of functions, Composition of functions.
978 Views Real-valued functions, Product of functions, quotient functions.
1116 Views Sequence, Arithmetic and Geometric sequence.
1104 Views Series, Arithmetic and Geometric series, Infinite geometric series.
1166 Views Recursion, Recursively defined function, Factorial function, Fibonacci sequence, Recurrence relation, Use of recursion.
992 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.
2425 Views Principal of mathematical induction.
1025 Views Mathematical induction for divisibility problems and inequality problems.
1122 Views Methods of proofs, Direct proof, Indirect proof, Proof by counter example.
1078 Views Proof by contradiction, proof by contraposition.
1127 Views Algorithm, Quotient-remainder theorem, Pre-conditions and Post-conditions, Loop invariants.
1481 Views Loop to compute product, Division algorithm, Euclidean algorithm.
1012 Views Combinatorics, Sum rule, product rule.
1044 Views factorial of positive integer, Counting formulas, Formula for k-sample, k-permutation, Formula for k-permutation,
1007 Views k-combination, Permutations and combinations, k-selections.
983 Views K-selections, Ordered and unordered partition, Generalized permutation.
1231 Views Tree diagram, Inclusion and Exclusion principle.
1083 Views Inclusion and Exclusion principle for 3 and 4 sets, Pigeonhole principle.
1026 Views Introduction to probability.
1021 Views Addition law of probability, Probability of sub event.
928 Views Conditional probability, Multiplication theorem, Independence.
1172 Views Random variable, Probability distribution,Expectation,Variance and Standard derivation of random variable.
1301 Views Introduction to graphs, Handshaking theorem.
1209 Views Paths and Circuites, Konigsberg bridges problem.
947 Views Matrix representation of graphs.
1018 Views Isomorphism of graphs, Theorem of isomorphic invariant.
1062 Views Planar graph, Euler’s Formula, Graph coloring.
1119 Views Tree, Properties of tree, Rooted tree, Binary tree.
1087 Views Spanning trees, Kirchhoff's theorem Or Matrix-tree theorem, Prim's algorithm.