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This course covers the fundamental mathematics needed to succeed in the Global MBA's finance and economics modules, such as equations, functions, derivatives, and matrices. Quizzes and worksheets will be available to test your understanding, and more advanced content will be available if you want to push yourself.
Syllabus :
1. Equations
- Equations- An Introduction
- Variables, Constants and Parameters
- The Real Number System
- Basic Rules
- Like Terms
- Translate Phrases into Mathematics
- Working with Business Formulas
- Ratio and Proportion
2. Functions
- A Function as an Ordered Pair of Elements
- Relations and Functions
- Types of Function
- Levels of Generality
- The Domain of a Function
- Graphing an Equation
- Linear Functions
- Mapping Linear Functions
- Linear Functions: Examples
- Quadratic Functions
- Cubic Functions
- The Exponential Functions
- The Nature of Exponential Functions
- Simple Exponential Functions
- The Graph
- Logarithmic Functions
- Log Functions and Exponential Functions
- The Graphical Form
3. Derivatives
- Slopes of Curves
- The Geometrical Interpretation of Tangents and Derivatives
- Increasing and Decreasing Functions
- Derivatives as a Rate of Change
- Continuity
- Simple Rules of Differentiation
- The Derivative of a Constant Function
- The Graphical Representation of the Rule
- Derivatives
- The Power Rule
- Sum and Difference
- The Product Rule
- Matrices
- The Quotient Rule
- The Chain Rule
- Higher Order Derivatives
4. Matrices
- What Is A Matrix?
- The Square Matrix
- Matrix Operations
- Addition
- Subtraction
- Scalar Multiplication
- Multiplication of Matrices
- Multiplication Procedure
- General Rules for Matrix Addition and Multiplication by Scalars
- The Inverse
- The Transpose
- Identity Matrix
- Properties of the Identity Matrix
- Linear Systems of Equation
