Overview

This eCourse consists of three modules. Module 1 explains Indices, exponents, and logarithms, which are some of the most basic and important tools employed in finance. These mathematical concepts are particularly important in the context of calculating the price of capital market and derivative products.

Module 2 provides an overview of differential calculus, which is a subtype of calculus that deals with the rates of change of given quantities. It has many applications in the world of finance and economics, including the measurement of changes in GDP, unemployment, and investment over time.

Module 3 looks at Integral calculus, which is a subtype of calculus that deals with the rates of change of given quantities.

Objective

On completion of this course, you will be able to:
- Ascertain the basic rules of indices
- Define the natural exponential function
- Calculate a logarithm using some basic rules, and understand that a logarithm is the reverse of an exponential function
- Describe geometric series, and calculate the sum of finite and infinite geometric series
- Classify linear and nonlinear functions
- Calculate derivatives
- Recognize the different rules of differentiation
- List the economic applications of differentiation
- Recall the rules of integration
- Complete integration calculations
- List the practical applications of integration

Content

Module 1: Indices, Exponents, & Logs
Topic 1: Indices
Topic 2: Natural Exponential Function
Topic 3: Logs

Module 2: Calculus – Differentiation
Topic 1: Linear & Nonlinear Functions
Topic 2: Rules of Differentiation
Topic 3: Uses of Differentiation

Module 3: Calculus – Integration
Topic 1: Indefinite Integrals
Topic 2: Definite Integration
Topic 3: Improper Integrals