Relations | Properties and Types of Relation ~ Reflexive, Symmetric, Transitive, Equivalence ... etc

Описание: Matrices:
Introduction,
Rank of Matrix,
Solving System of Equations,
Inverse of a Matrix,
Set theory,
Principle of inclusion and exclusion,
partitions,
Permutation,
Combination,
Relations,
Properties of relations,
Matrices of relations,
Closure
operations on relations,
Functions- injective,
subjective and objective functions.


Probability:
Probability Classical,
relative frequency and axiomatic,
definitions of probability,
addition rule and conditional probability, multiplication rule,
total probability,
Bayes’ Theorem and independence problems,
Introduction to Statistics- Population,
Sample,
Variable,
Descriptive Statistics-Mean,
Mode,
Median,
Measures of Spread-Range,
Inter Quartile Range,
Variance,
Standard Deviation.

Propositions & Propositional Calculus:
Propositions and logical operators,
Truth table,
Propositions generated by a set,
Equivalence and implication,
Basic laws,
Functionally complete set of connectives,
Normal forms,
Proofs in Propositional calculus,
Predicate calculus.

Data Representation:
Data Representation - Floating point Arithmetic – Addition,
Subtraction,
Multiplication and Division operation,
Pitfall of floating point representation, Errors in numerical computation Iterative Methods,
Measurement of Accuracy by using
Absolute Error and Relative Error.

Graphs & tree
Basic Concepts of Graphs,
Sub graphs,
Matrix Representation of Graphs,
Adjacency Matrices,
Incidence Matrices,
Isomorphic Graphs,
Paths and Circuits,
Eulerian and Hamiltonian Graphs, Multigraphs,
Planar Graphs,
Euler‘s Formula,
Spanning Trees