MT1003 Pure and Applied Mathematics

Academic year

2025 to 2026 Semester 2

Further information on which modules are specific to your programme.

Key module information

SCOTCAT credits

20

The Scottish Credit Accumulation and Transfer (SCOTCAT) system allows credits gained in Scotland to be transferred between institutions. The number of credits associated with a module gives an indication of the amount of learning effort required by the learner. European Credit Transfer System (ECTS) credits are half the value of SCOTCAT credits.

SCQF level

SCQF level 7

The Scottish Credit and Qualifications Framework (SCQF) provides an indication of the complexity of award qualifications and associated learning and operates on an ascending numeric scale from Levels 1-12 with SCQF Level 10 equating to a Scottish undergraduate Honours degree.

Planned timetable

1pm (Mon, Tue, Thur, Fri)

This information is given as indicative. Timetable may change at short notice depending on room availability.

Module coordinator

Dr S Lisai

Dr S Lisai
This information is given as indicative. Staff involved in a module may change at short notice depending on availability and circumstances.

Module Staff

Dr Stefania Lisai; Dr Spyridon Dimoudis; Dr Yoav Len; Dr Finn Smith; Dr Dan Lucas

This information is given as indicative. Staff involved in a module may change at short notice depending on availability and circumstances.

Module description

This module aims to provide students with experience of both pure and applied mathematics, and the role that mathematical computing plays in both subjects. Exposure to new topics in this module will enable students to further develop their skills and experience in mathematics and give them insight into areas available for study in later years.

Relationship to other modules

Pre-requisites

BEFORE TAKING THIS MODULE YOU MUST PASS MT1002

Assessment pattern

2-hour Written Examination = 70%, Coursework = 30%

Re-assessment

2-hour Written Examination = 100%

Learning and teaching methods and delivery

Weekly contact

4 lectures (x 10 weeks), 1 computing laboratory (x 10 weeks), 1 tutorial (x 5 weeks), 1 examples class (x 5 weeks)

Scheduled learning hours

60

The number of compulsory student:staff contact hours over the period of the module.

Guided independent study hours

140

The number of hours that students are expected to invest in independent study over the period of the module.

Intended learning outcomes

  • Demonstrate an understanding of key concepts in pure mathematics (nature of proof, functions and relations, formal constructions of number systems, elementary number theory) and be able to solve problems in these areas
  • Demonstrate an understanding of key concepts in applied mathematics (continuous time mathematical models; discrete time mathematical models; some elementary numerical methods)
  • Understand introductory concepts for mathematical computing in Python (types, loops, lists and arrays, functions, writing programs) and apply these to problems in both pure and applied mathematics
  • Present mathematical ideas clearly and coherently, displaying logical and structured arguments when presenting solutions to problems