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Course: Introduction to Mathematics

Code:  110 Rdt

 

Contents

Week

Element of Mathematical Logic

      Statements, Connectives, Logical equivalence

1

Methods of Proof (Direct Proof – Proof of the Contrapositive – Proof by Contradiction – Proof by Counter-example – Proof by Mathematical Induction).

2

Setes

Defining a Set ,Power Set  ,Algebra of Sets

(Union – Intersection)

3

Universal Set – Complement of a Set

4

functions

Definitions of functions , Algebra of functions

Inverse Image

5

Type of functions , Composition of functions , Trigonometric function

6

Equivalence of Sets   , Countable Sets

7

Matrices

Matrix Operations  , Elementary Row Operations

8

Inverse of Matrix   , Special Matrices

9

Determinant

Properties of Determinants

10

The Adjoint Matrix ,  Cramer's Rule

11

Statistics

Key Statistical Concepts  , Types of statistical variables

Types of Data

12

 Descriptive Techniques

Numerical Descriptive Measures

13

Revision 

14

 

 

 

 

 

 

 

 

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