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 https://mba.london.ac.uk/.
This course is endorsed by CMI
This course is part of the International Business Essentials Specialization
Quantitative Foundations for International Business
Offered By
Syllabus - What you will learn from this course
Week
1Equations
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 (Total 49 min), 2 readings, 3 quizzes
10 videos
Equations- An Introduction3m
1. Variables, Constants and Parameters6m
2. The Real Number System6m
3. Basic Rules7m
4. Like Terms3m
5. Translate Phrases into Mathematics6m
6. Working with Business Formulas5m
7. Ratio and Proportion6m
Equations- Summary2m
2 readings
Glossary of Terms10m
Quiz Instructions10m
3 practice exercises
Equations: Practice Exercises6m
Equations: Summative Exercises16m
Week 1: End of Week Quiz10m
Week
2Functions
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 (Total 81 min), 2 quizzes
20 videos
1. A Function as an Ordered Pair of Elements5m
2. Relations and Functions5m
3. Types of Function7m
4. Levels of Generality3m
5: The Domain of a Function4m
5.1: Graphing an Equation7m
6. Linear Functions4m
6.1 Mapping Linear Functions4m
6.2 Linear Functions: Examples9m
7. Quadratic Functions4m
8. Cubic Functions3m
Functions Summary2m
1.1. The Exponential Functions1m
1.2. The Nature of Exponential Functions1m
1.3. Simple Exponential Functions3m
1.4. The Graph2m
2.1. Logarithmic Functions3m
2.2. Log Functions and Exponential Functions1m
2.3 The Graphical Form1m
2 practice exercises
Summative Questions16m
End of Week Quiz10m
Week
3Derivatives
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 (Total 99 min), 2 quizzes
21 videos
1. Slopes of Curves3m
2. The Geometrical Interpretation of Tangents and Derivatives1m
3. Increasing and Decreasing Functions1m
4. Derivatives as a Rate of Change3m
5. Continuity1m
6. Simple Rules of Differentiation2m
6.1. The Derivative of a Constant Function1m
6.2. The Graphical Representation of the Rule2m
6.3. Examples2m
6.3.1 Derivatives: Examples, Part 110m
6.3.2 Derivatives: Examples, Part 211m
6.3.3 Derivatives: Examples, Part 36m
6.4. The Power Rule4m
6.5. Sum and Difference2m
7. The Product Rule9m
7.2 Matrices15m
8. The Quotient Rule3m
9. The Chain Rule6m
10. Higher Order Derivatives2m
Lecture: Derivatives - Summary3m
2 practice exercises
Summative Questions14m
End of Week Quiz10m
Week
4Matrices
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 (Total 43 min), 3 quizzes
16 videos
1. What Is A Matrix?4m
2. The Square Matrix1m
3. Matrix Operations1m
3.1. Addition3m
3.2. Subtraction1m
3.3. Scalar Multiplication1m
3.4. Multiplication of Matrices3m
3.5. Multiplication Procedure3m
3.6. General Rules for Matrix Addition and Multiplication by Scalarsm
4. The Inverse2m
5. The Transpose2m
6. Identity Matrix3m
6.1. Properties of the Identity Matrix2m
7. Linear Systems of Equation4m
Matrices | Summary2m
3 practice exercises
Summative Questions16m
End of Week Quiz10m
End of Course Quizm
3.7
45 ReviewsTop Reviews
By AM•May 31st 2017
This course brushes the basics of maths such as equations, functions, differentiation and matrices!
By MK•Jun 13th 2017
A good review of basic quantitative learning! thank you!
Instructor
George Kapetanios
Professor of Finance and EconometricsKing's College London
About University of London
The University of London is a federal University which includes 18 world leading Colleges. Our distance learning programmes were founded in 1858 and have enriched the lives of thousands of students, delivering high quality University of London degrees wherever our students are across the globe. Our alumni include 7 Nobel Prize winners. Today, we are a global leader in distance and flexible study, offering degree programmes to over 50,000 students in over 180 countries. To find out more about studying for one of our degrees where you are, visit www.london.ac.uk
About the International Business Essentials Specialization
This specialisation from the University of London is designed to help you develop and build the essential business, academic, and cultural skills necessary to succeed in further study and in international business.
If completed successfully, you may be able to use your certificate from this specialisation as part of the application process for the University of London Global MBA.
This Specialisation is endorsed by CMI.
Frequently Asked Questions
When will I have access to the lectures and assignments?
Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
What is the refund policy?
Is financial aid available?
More questions? Visit the Learner Help Center.
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