3.7
151 ratings
45 reviews

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 10 hours to complete

Suggested: 4 weeks of study, 5 hours per week....

#### English

Subtitles: English

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 10 hours to complete

Suggested: 4 weeks of study, 5 hours per week....

#### English

Subtitles: English

### Syllabus - What you will learn from this course

Week
1
2 hours to complete

## 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 (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
7. Ratio and Proportion6m
Equations- Summary2m
Glossary of Terms10m
Quiz Instructions10m
3 practice exercises
Equations: Practice Exercises6m
Equations: Summative Exercises16m
Week 1: End of Week Quiz10m
Week
2
2 hours to complete

## 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 (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
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
3
2 hours to complete

## 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 (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
4
2 hours to complete

## 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 (Total 43 min), 3 quizzes
16 videos
1. What Is A Matrix?4m
2. The Square Matrix1m
3. Matrix Operations1m
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 Reviews

### Top Reviews

By AMMay 31st 2017

This course brushes the basics of maths such as equations, functions, differentiation and matrices!

By MKJun 13th 2017

A good review of basic quantitative learning! thank you!

## Instructor

### George Kapetanios

Professor of Finance and Econometrics
King's College 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...