# Preliminary mathematics and statistics

- Module Code:
- 15PECC050
- Credits:
- 0
- FHEQ Level:
- 7
- Taught in:
- Term 1

This course is an integral part for all students taking any of the MSc programmes in MSc Economics, MSc Development Economics, MSc International Finance and Development, MSc Economics and Environment, and MSc Political Economy of Development.

This course revises material usually taught in an undergraduate degree. A knowledge of algebra, calculus, and probability distributions is assumed. It is taught intensively for three weeks in September and consists of three parts: mathematics, statistics and computing. Students take an examination at the end of the course.

###### Topics covered include:

- Differentiation and optimisation techniques
- Integration
- Simple differential equations
- Matrix algebra
- Statistical distributions
- Properties of estimators
- Interval estimation and hypothesis testing.

The other courses in the MSc build on this foundation.

##### Further information

This module will be delivered entirely** online** for 2021/22 via BLE. Students enrolled onto this module will be able to join the live session on BLE.

The first session is scheduled for Monday 6th September 2021. Please check the information sheet and timetable for the full schedule.

#### Objectives and learning outcomes of the module

At the end of the course, students are expected to be able to:

- Use matrices for simple manipulations and systems of equations; use Jacobian determinants to test for functional dependence; understand derivatives, differentials and total and partial derivatives; use exponential and logarithmic functions to analyse growth; find unconstrained and constrained optima of functions with one or more choice variables.
- Calculate and interpret different measures of descriptive statistics; understand probability theory, understand joint, marginal and conditional probability distributions and their properties, work with the normal and related distributions; understand the desirable small and large sample properties of estimators; conduct interval estimation and hypothesis testing.
- Use web-based sources for development data and economic research; use Excel for basic statistical analysis and matrix manipulation.

#### Suggested reading

##### Background Reading

###### Mathematics:

- C. Chiang and K. Wainwright, Fundamental Methods of Mathematical Economics, 4th

Edition. McGraw-Hill, 2005 - E T Dowling,
*Introduction to Mathematical Economics*, 3^{rd}Edition, Schaum’s Outline Series, McGraw-Hill, 2000. - I.,Jacques,
*Mathematics for Economics and Business*, 6th Edition, Prentice Hall, 2009. - R L Thomas,
*Using Mathematics in Economics*, 2^{nd}edition, Addison-Wesley Longman, 1999

###### Statistics:

- D. Gujarati and D.C. Porter,
*Basic Econometrics*, 5th Edition, Mc-Graw-Hill, 2009; Particularly

the Statistical Appendix. - M. Barrow,
*Statistics for Economics, Accounting and Business Studies*, 5th Edition, Prentice

Hall, 2009. - R. L. Thomas,
*Using Statistics in Economics.*McGraw-Hill, 2005.