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FINANCIAL MARKET COURSES

Calculus

An important topic in finance and economics is the study of the speed of change of different economic quantities over time, such as GDP, unemployment, investment, and so on. Further, risk management instruments rely heavily on the speed of change of the underlying assets’ values and prices. The mathematical concept that deals with these issues is the rate of change, otherwise known as the derivative.

 

This course introduces the concept of differentiation and its counterpart, integration. Simple economic applications of the two concepts are also described.

  • OBJECTIVES

    On completion of this course, you will be able to:

    Determine the derivatives of various functions by applying different calculation rules

     

    Apply some basic rules to calculate the integral of a function and understand that integration is the reverse of differentiation

  • COURSE OUTLINE

    Topic 1: Integration

    What is Integration?

    Rules of Integration

    Definite Integration

    Calculating the Definite Integral

    Definite Integrals – Applications

    o Summation of a Continuous Flow

    o Discounting

    Properties of Definite Integrals

    Improper Integrals

    Integration of Composite Functions

    Integration of Composite Functions – Integration by Parts

    Integration of Composite Functions – Integration by Substitution

    Topic 2: Differentiation

    What is Differentiation?

    o Differentiation of Linear Functions

    o Differentiation of non-Linear Functions

    Formula

    Increasing & Decreasing Functions

    Minimum & Maximum Point of Functions

    Differentiation of Non-Linear Functions

    Calculating Derivatives

    Rules of Differentiation

    o Sum Rule

    o Difference Rule

    o Products & Quotients of Functions

    Rules of Differentiation of Composite Functions

    Differentiation of Exponential Functions

    Differentiation of Logarithmic Functions

    Economic Applications of Differentiation

    o Revenue Functions

    o Cost Functions

    o Profit Maximization

    o Production Function

  • PREREQUISITE KNOWLEDGE

  • ESTIMATED COMPLETED TIME

    90 minutes

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