About this course: This course provides the essential mathematics required to succeed in the finance and economics related modules of the Global MBA, including equations, functions, derivatives, and matrices. You can test your understanding with quizzes and worksheets, while more advanced content will be available if you want to push yourself. This course forms part of a specialisation from the University of London designed to help you develop and build the essential business, academic, and cultural skills necessary to succeed in international business, or in further study. If completed successfully, your certificate from this specialisation can also be used as part of the application process for the University of London Global MBA programme, particularly for early career applicants. If you would like more information about the Global MBA, please visit www.londoninternational.ac.uk/mba This course is endorsed by CMI
Created by: University of London
Taught by: George Kapetanios, Professor of Finance and Econometrics
King's College London
| Basic Info | Course 3 of 6 in the International Business Essentials Specialization |
| Commitment | 4 weeks of study, 5 hours per week. |
| Language | English |
| How To Pass | Pass all graded assignments to complete the course. |
| User Ratings |
Syllabus
WEEK 1
Equations
Although financial models are theoretical frameworks, we often use mathematical tools to work with these models.
Mathematical models usually consist of a set of equations, which are designed to describe the structure of the model, and whose solution determines the importance of variables.
This week, we will look at equations, including the basic terminology, and the rules for solving equations requiring more than one operation.
10 videos, 2 readings, 1 practice quiz
- Video: Equations- An Introduction
- Reading: Glossary of Terms
- Video: 1. Variables, Constants and Parameters
- Video: 2. The Real Number System
- Video: 3. Basic Rules
- Reading: Quiz Instructions
- Practice Quiz: Equations: Practice Exercises
- Video: 4. Like Terms
- Video: 5. Translate Phrases into Mathematics
- Video: 6. Working with Business Formulas
- Video: 7. Ratio and Proportion
- Video: Equations- Summary
Graded: Equations: Summative Exercises
Graded: Week 1: End of Week Quiz
WEEK 2
Functions
Functions are important in every area of pure and applied mathematics, including mathematics applied to economics, finance and business. For example, the language of economic analysis is full of terms like demand and supply functions, cost functions, production functions, consumption functions, and so on. This week, we will present a discussion of functions of one real variable, illustrated by some economic examples. Remember- one variable is a function of another if the first variable depends upon the second.
20 videos
- Video: 1. A Function as an Ordered Pair of Elements
- Video: 2. Relations and Functions
- Video: 3. Types of Function
- Video: 4. Levels of Generality
- Video: 5: The Domain of a Function
- Video: 5.1: Graphing an Equation
- Video: 6. Linear Functions
- Video: 6.1 Mapping Linear Functions
- Video: 6.2 Linear Functions: Examples
- Video: 7. Quadratic Functions
- Video: 8. Cubic Functions
- Video: Functions Summary
- Video: 1.1. The Exponential Functions
- Video: 1.2. The Nature of Exponential Functions
- Video: 1.3. Simple Exponential Functions
- Video: 1.4. The Graph
- Video: 2.1. Logarithmic Functions
- Video: 2.2. Log Functions and Exponential Functions
- Video: 2.3 The Graphical Form
Graded: Summative Questions
Graded: End of Week Quiz
WEEK 3
Derivatives
An important topic in many scientific disciplines- including economics- is the study of how quickly quantities change. The concept used to describe the rate of change of a function is known as the derivative. In this lecture, we will define the derivative of a function, and share some of the important rules for calculating it.
21 videos
- Video: 1. Slopes of Curves
- Video: 2. The Geometrical Interpretation of Tangents and Derivatives
- Video: 3. Increasing and Decreasing Functions
- Video: 4. Derivatives as a Rate of Change
- Video: 5. Continuity
- Video: 6. Simple Rules of Differentiation
- Video: 6.1. The Derivative of a Constant Function
- Video: 6.2. The Graphical Representation of the Rule
- Video: 6.3. Examples
- Video: 6.3.1 Derivatives: Examples, Part 1
- Video: 6.3.2 Derivatives: Examples, Part 2
- Video: 6.3.3 Derivatives: Examples, Part 3
- Video: 6.4. The Power Rule
- Video: 6.5. Sum and Difference
- Video: 7. The Product Rule
- Video: 7.2 Matrices
- Video: 8. The Quotient Rule
- Video: 9. The Chain Rule
- Video: 10. Higher Order Derivatives
- Video: Lecture: Derivatives - Summary
Graded: Summative Questions
Graded: End of Week Quiz
WEEK 4
Matrices
The analysis and even the comprehension of systems of linear equations is much easier when we use key mathematic concepts such as matrices, vectors, and determinants. This week, we’ll introduce these concepts and explain their application to economic models
16 videos
- Video: 1. What Is A Matrix?
- Video: 2. The Square Matrix
- Video: 3. Matrix Operations
- Video: 3.1. Addition
- Video: 3.2. Subtraction
- Video: 3.3. Scalar Multiplication
- Video: 3.4. Multiplication of Matrices
- Video: 3.5. Multiplication Procedure
- Video: 3.6. General Rules for Matrix Addition and Multiplication by Scalars
- Video: 4. The Inverse
- Video: 5. The Transpose
- Video: 6. Identity Matrix
- Video: 6.1. Properties of the Identity Matrix
- Video: 7. Linear Systems of Equation
- Video: Matrices | Summary
Graded: Summative Questions
Graded: End of Week Quiz
Graded: End of Course Quiz
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Ratings and Reviews
T
Sometimes hard to understand the instructor but good subject materials.
Interesting !
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I enjoyed the course, I found it challenging. The lecturer, Dr Eleonora Muzzupapa was a bit difficult to understand and at times it seemed that she struggled to read material off the viewer, I used the English subtitles to assist me.