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Discrete Mathematics - MTH202 - VU Video Lectures
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.
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