  ## Discrete Mathematics - MTH202 - VU Video Lectures

2661 Views What is Discrete Mathematics?, Logic, Simple Statements, Compound Statements, Negation, Conjunction, Disjunction.
1616 Views Truth Tables, De morgan’S Laws, Tautology.
1279 Views Applying laws of logic, Conditional statements, Negation of conditional statement, Invers of conditional statement, Converse of conditional statement, Contrapositive of conditional statement.
1116 Views Biconditional, Laws of logic.
1278 Views Argument, Valid and Invalid argument.
1145 Views Switches in series, Switches in parallel, AND-gate, OR-gate, Combinational circuite, Determining output.
1414 Views Set, Tabular form, Descriptive form, Set builder form, Subset, Proper subset, Equal set, Null set, Universal set, Venn diagram, Finite and Infinite set.
1040 Views Union, Intersection, Difference, Complement.
1025 Views Set identities.
1187 Views Exercise, Partition of set, Power set.
1551 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.
1256 Views Reflexive relation, Directed graph of reflexive relation, Symmetric relation, Directed graph of Symmetric relation, Transitive relation, Directed graph of transitive relation, Equivalence relation.
1279 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.
1075 Views Inverse of relation, Arrow diagram of inverse relation, Matrix representation of inverse relation, Complementry relation, Composite relation.
1133 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.
1133 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.
1092 Views Equality of functions, Inverse of functions, Composition of functions.
933 Views Real-valued functions, Product of functions, quotient functions.
1054 Views Sequence, Arithmetic and Geometric sequence.
1041 Views Series, Arithmetic and Geometric series, Infinite geometric series.
1119 Views Recursion, Recursively defined function, Factorial function, Fibonacci sequence, Recurrence relation, Use of recursion.
943 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.
2379 Views Principal of mathematical induction.
978 Views Mathematical induction for divisibility problems and inequality problems.
1074 Views Methods of proofs, Direct proof, Indirect proof, Proof by counter example.
1030 Views Proof by contradiction, proof by contraposition.
1068 Views Algorithm, Quotient-remainder theorem, Pre-conditions and Post-conditions, Loop invariants.
1283 Views Loop to compute product, Division algorithm, Euclidean algorithm.
966 Views Combinatorics, Sum rule, product rule.
995 Views factorial of positive integer, Counting formulas, Formula for k-sample, k-permutation, Formula for k-permutation,
964 Views k-combination, Permutations and combinations, k-selections.
933 Views K-selections, Ordered and unordered partition, Generalized permutation.
1152 Views Tree diagram, Inclusion and Exclusion principle.
1030 Views Inclusion and Exclusion principle for 3 and 4 sets, Pigeonhole principle.
977 Views Introduction to probability.
950 Views Addition law of probability, Probability of sub event.
887 Views Conditional probability, Multiplication theorem, Independence.
1127 Views Random variable, Probability distribution,Expectation,Variance and Standard derivation of random variable.
1250 Views Introduction to graphs, Handshaking theorem.
1160 Views Paths and Circuites, Konigsberg bridges problem.
903 Views Matrix representation of graphs.
971 Views Isomorphism of graphs, Theorem of isomorphic invariant.
1016 Views Planar graph, Euler’s Formula, Graph coloring.
1067 Views Tree, Properties of tree, Rooted tree, Binary tree.
1030 Views Spanning trees, Kirchhoff's theorem Or Matrix-tree theorem, Prim's algorithm.