NBS8630 : Mathematics Foundations
- Offered for Year: 2023/24
- Module Leader(s): Dr Pascal Stiefenhofer
- Owning School: Newcastle University Business School
- Teaching Location: Newcastle City Campus
Semesters
| ECTS Credits: | 0.0 |
Aims
• The aim of this blocked course is to prepare students for advanced studies in “Mathematics for
Economics and Finance”, “Introductory Econometrics”, and economic theory modules.
• This course aims at refreshing univariate and multivariate calculus.
• It also aims at introducing key concepts of linear algebra and illustrates the role matrices
play in economics, and econometrics.
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, diagonalization, 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
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
| 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