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NBS8610 : Mathematical Analysis

  • 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.

Semester 1 Credit Value: 10
ECTS Credits: 5.0
European Credit Transfer System


The aim of this module is to equip students with mathematical techniques and methods to succeed in advanced economics and finance, and empirical modules.

Students will learn the basics of propositional logic and the concept of mathematical proof and apply them in various contexts.

Students will be introduced to numerical methods and scientific programming to tackle a variety of problems in economics and finance.

Many economics and finance models are formulated in terms of differential equations. This module will introduce a range of topics from the theory of differential equations defined on continuous and discrete time that have proved to be useful in solving practical problems. Equal emphasis will be placed on the theorems that underly these methods, the technical skills required to apply them and the meaning of the results. Illustrative problems will be drawn from a wide range of practical applications.

Outline Of Syllabus

• Logic, sets, and the concept of mathematical proof
• Roots of higher degree equations
• Interpolation and curve fitting
• Numerical differentiation and integration
• Numerical methods for ordinary and partial differential equations
• Linear and non-linear programming

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture72:0014:00Formal lectures (PiP)
Guided Independent StudyDirected research and reading132:0032:00Preparation for lectures, background reading, coursework review
Scheduled Learning And Teaching ActivitiesSmall group teaching41:004:00Computer lab (PiP)
Guided Independent StudyIndependent study150:0050:00N/A
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.

• Computer lab classes are used to help develop the students’ abilities at applying the theory to solving problems using scientific programming software.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Description Length Semester When Set Percentage Comment
Written Examination901A100Unseen exam
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 exercises1MN/A
Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the material in this module.

Reading Lists