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Courses >> Two Year PGD Course >>
PGD in Business Administration
Quantitative Methods
Chapter I
Matrices
1.1
Definitions
1.2
Types of Matrices
1.2.1
Row Matrix
1.2.3
Column Matrix
1.2.4
Square Matrix
1.2.5
Zero or Null Matrix
1.2.6
Diagonal Matrix
1.2.7
Unit or Identity Matrix
1.2.8
Equal Matrices
1.3
Operations on Matrices
1.3.1
Addition of Two Matrices
1.3.2
Subtraction of Two Matrices
1.3.3
Scalar Multiplication of a Matrix
1.3.4
Multiplication of two Matrices
Summing Up
Chapter II
Determinants
2.1
Definitions
2.2
Procedure to Find Determinants of Order 2 x 2 and 3 x 3
2.3
Singular and Non-singular Matrices
2.4
Properties of Determinants
2.5
Solutions to System of Linear Equations
Self-assessment
Chapter III
Mathematical Logic
3.1
Introduction
3.2
Meaning of Statement
3.3
Compound Statement
3.4
Truth Value of a Statement
3.5
Truth Table
3.6
Logical Connectives
3.6.1
Negation (NOT, ~)
3.6.2
Conjuction (AND, Ù)
3.6.3
Disconjuction (OR, Ú )
3.6.4
Conditional Statements (Implication, Þ or ® )
3.6.5
Biconditional Statements (Equivalence,Û or «)
3.7
Statement Patterns
3.8
Logical Equivalence
3.9
Tautology and Contradiction
3.10
Laws of Algebra of Prepostion
Self-assessment
Chapter IV
Set Theory
4.1
Definitions
4.2
Standard Sets
4.3
Types of Sets
4.3.1
Finite Set
4.3.2
Infinite Set
4.3.3
Null Set or Empty Set
4.3.4
Universal Set
4.4
List of Symbols
4.4.1
Belongs to (Î)
4.4.2
Not Belongs to (Ï)
4.4.3
Equal to (=)
4.4.4
Not Equal to (¹)
4.4.5
Subset (Ì)
4.4.6
Not a Subset (Ë)
4.5
Operations on Sets
4.5.1
Union (È)
4.5.2
Intersection (Ç)
4.5.3
Complementary Set ( ¢ or c )
4.6
De Morgan¢s Law
Self-assessment
Chapter V
Arithmatic Progression
5.1
Sequences
5.1
Definition
5.1
nth Term of the Sequence (tn)
5.1
Sum of the First n Term (Sn)
5.2
Arithmetic Sequence or Arithmetic Progression
5.2.1
Definition
5.2.2
nth Term of an A.P.
5.2.3
Sum of the First n Terms of an A.P. (Sn)
5.2.4
Properties of an A.P.
Self-assessment
Chapter VI
Geometric Progression
6.1
Definition
6.2
nth Term of an G.P.
6.3
Sum of the First n Terms of a G.P. (Sn)
Self-assessment
Chapter VII
Probablity
7.1
Introduction
7.2
Definition
7.3
Addition Theorem
7.4
Partially Overlapping Events
7.5
Multiplication Theorem
7.6
Conditional Probability
Self-assessment
Chapter VIII
Permutation
8.1
The Fundamental Principle of Counting
8.2
Definition of Permutation
8.3
Distinct Permutations
8.4
Permutations of Repeated Objects
8.5
Use of Permutation in Probability
Self-assessment
Chapter IX
Combinations
9.1
Definition
9.2
Complementary Combinations
9.3
Some Useful Results
9.4
Use of Combination in Probability
Self-assessment
Chapter X
Interpolation
10.1
Definition
10.2
Lagrange's Interpolation
10.3
Lagrange's Inverse Interpolation
10.4
Newton's Forward Difference Table
10.5
Newton's Backward Difference Table
10.6
Newton's divided Difference Table
Self-assessment
Chapter XI
Commercial Arithmetic
11.1
Commission and Brokerage
11.2
Present Worth (P.W), Sum Due (D.D.) and True Discount (T.D.)
11.3
Insurance
Self-assessment
Chapter XII
Relations and Functions
12.1
Relations
12.2
Introduction to Functions
12.3
Real Functions
12.4
Composite Functions
12.5
Classification of Functions
12.5.1
Algebraic Function
12.5.2
Transcendental Function
12.6
Linear Functions
12.7
Break Even Analysis
Self-assessment
Chapter XIII
Statistics
13.1
Introduction
13.2
Definition
13.3
Characteristics of Stastical Data
13.4
Collection of Stastical Data
13.5
Sources of Data Collection
13.6
Methods of Data Collection
13.7
Variables
13.8
Population and Sample
13.9
Classification
13.9.1
Objectives of Classification
13.9.2
Characteristics of Classification
13.10
Frequency Distribution
13.10.1
Discrete or Ungrouped Frequency Distribution
13.10.2
Continuous or Grouped Frequency Distribution
13.10.3
Bsic components of Frequency Distribution
13.11
Cumulative Frequency Distribution
13.12
Self-assessment
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