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NBS8630 : Mathematics Foundations

  • Offered for Year: 2023/24
  • Module Leader(s): Dr Pascal Stiefenhofer
  • Lecturer: Dr Yifan Chen
  • Owning School: Newcastle University Business School
  • Teaching Location: Newcastle City Campus

Your programme is made up of credits, the total differs on programme to programme.

ECTS Credits: 0.0
European Credit Transfer System


• 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 ActivitiesLecture103:0030:00Formal lectures - spread over 5 days, 6 hours per day (3 hours morning, 3 hours afternoon)
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
Portfolio1M100There 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 exercises1MTake-home problem sets
Written exercise1MIn-class short tests
Assessment Rationale And Relationship


Reading Lists