# BMS 100: Management Mathematics I Notes Lesson One: Set Theory

1.1          Introduction

1.2         Set Definition and Notation

1.3         Types of Sets

1.4         Venn Diagram Representation

1.5         Set Relations

1.6         Set Operations

1.6.1   Subset

1.6.2   Intersection of Sets

1.6.3     Union of Sets

1.6.4   Complement of Sets

1.6.5   Set Operation Rules

1.7         Number of Elements in a Set

1.7.1   Number of Elements Union of two Set.

Lesson Two: Equations and Inequalities

2.1         Introduction

2.2        Simple Linear Equations

2.3        Deriving Linear Equations

2.4        Solving Linear Equations

2.5        Types of Lines

2.6        Graphing Linear Equation

2.7        System of Linear Equations

2.8        Types of Simultaneous Equations

2.9        Solving of Simultaneous Equations

2.10    Application of Simultaneous Equations

2.15    Systems of Inequalities

2.16    Graphs of Inequalities

Lesson Three: Functions, Limits and Continuity

3.1         Introduction

3.2        Constants, variables and Coefficients

3.4        Functions and Types

3.5        Functional Notation

3.6        Algebraic Operations on Functions

3.7        Limits of Function

3.8        Properties of Limits

3.9        Continuity in Functions

Lesson Four: Differential Calculus

4.1         Objectives

4.2        Introduction

4.3        Average Rate of Change (ARC)

4.4        Instantaneous Rate of Change (IRC)

4.5        Definition and Notation of Derivatives

4.6        Differentiation Techniques

4.7        Application of Differential Calculus

4.8          Determination of Marginal Values.

4.9        Partial Derivatives

4.10    Partial Derivative Optimisation5

4.11    Constrained Optimisation Using Lagrange Multiplier

Lesson Five: Integral of Functions

5.1         Objectives

5.3        Indefinite Integral

5.4        Integration Rules

5.5        Definite Integration

5.6        Properties of Definite Integral

Lesson Six: Mathematics of Finance

6.1         Introduction

6.2        Simple Interest

6.4        Overview of Project Appraisal Techniques

6.4.1   Payback Period Method

6.4.2   Discounted Cash flow Methods

6.5        Annuities

6.6.       Amortisation Payments

# Buy Full Notes  @ KES 70 soft copy 