NBS8630 : Mathematics Foundations
- Offered for Year: 2025/26
- Module Leader(s): Dr Pascal Stiefenhofer
- Owning School: Newcastle University Business School
- Teaching Location: Newcastle City Campus
Semesters
Your programme is made up of credits, the total differs on programme to programme.
| ECTS Credits: | 0.0 |
| European Credit Transfer System | |
Aims
To develop mathematical maturity essential for advanced studies in all economics programs.
To reinforce foundational knowledge in analysis and statistics.
To provide in-depth understanding of linear algebra and optimisation techniques for economic applications.
Outline Of Syllabus
• Real analysis (series and sequences, continuous functions, Taylor’s theorem, mean and extreme value theorems)
• Univariate and multivariate calculus
• Algebra of matrices and linear mappings’, determinants, diagonalisation, and canonical forms, and vector spaces
• Probability functions, conditional probability, permutations and combinations, Bayes rule
• Continuous and discrete random variables, univariate and multivariate distributions, expectation and conditional expectation, moments
• Sampling distributions, hypothesis testing, confidence intervals
• The concept of mathematical proof
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Scheduled Learning And Teaching Activities | Lecture | 10 | 3:00 | 30:00 | Formal lectures - spread over 5 days, 6 hours per day (3 hours morning, 3 hours afternoon) |
| Total | 30:00 |
Teaching Rationale And Relationship
• Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on homework.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Portfolio | 1 | M | 100 | There is only formative assessment for this module |
Formative Assessments
Formative Assessment is an assessment which develops your skills in being assessed, allows for you to receive feedback, and prepares you for being assessed. However, it does not count to your final mark.
| Description | Semester | When Set | Comment |
|---|---|---|---|
| Prob solv exercises | 1 | M | Take-home problem sets |
| Written exercise | 1 | M | In-class short tests |
Assessment Rationale And Relationship
N/A
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- NBS8630's Timetable