Probability and Statistics 1
| Code | School | Level | Credits | Semesters |
| MATH1108 | School of Mathematical Sciences | 1 | 20 | Full year China |
- Code
- MATH1108
- School
- School of Mathematical Sciences
- Level
- 1
- Credits
- 20
- Semesters
- Full year China
Summary
This is a year-long module that introduces students to the mathematics of uncertainty. The module will introduce students to the basic concepts of probability and statistics in a unified manner.
Target Students
Single Honours students from the Department of Mathematical Sciences
Classes
- Two 1-hour workshops each week for 12 weeks
- Four 1-hour workshops each week for 6 weeks
- Three 1-hour workshops each week for 6 weeks
Assessment
- 40% Coursework 1: Summative assessment based on tasks distributed through the year.
- 20% Class Test 1 (1-hour): Written class test - Autumn
- 40% Exam 1 (2-hour): Written examination - Spring
Assessed by end of spring semester
Educational Aims
The overall aims are to give students an introduction to probability, probabilistic reasoning, statistics and statistical thinking. This provides students with a good foundation for studying more advanced topics in probability and statistics.Learning Outcomes
1. State and apply the basic laws and theorems of probability and statistics that underpin modern applications;
2. Derive point and interval estimators and state and apply the Central Limit Theorem;
3. Draw connections between probability and statistics;
4. Conduct appropriate hypothesis tests for a variety of contexts, including calculating distributions of test statistics, p-values and power;
5. Calculate probabilities, moments and other quantities of interest using mass, density, probability generating functions and joint & conditional mass functions;
6. Make effective use of statistical software to carry out calculations and interpret the output;
7. Present hypotheses, methods, results and conclusions verbally or in writing using structured and mathematically rigorous arguments and in a suitable format such as a statistical report.
Conveners
- Ms Jing Shu