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Discrete Mathematics - MTH202 - VU Video Lectures
2661 Views
What is Discrete Mathematics?, Logic, Simple Statements, Compound Statements, Negation, Conjunction, Disjunction.
1279 Views
Applying laws of logic, Conditional statements, Negation of conditional statement, Invers of conditional statement, Converse of conditional statement, Contrapositive of conditional statement.
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.
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.
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.
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.
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.
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.
1160 Views
Paths and Circuites, Konigsberg bridges problem.
971 Views
Isomorphism of graphs, Theorem of isomorphic invariant.
1067 Views
Tree, Properties of tree, Rooted tree, Binary tree.
1030 Views
Spanning trees, Kirchhoff's theorem Or Matrix-tree theorem, Prim's algorithm.
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