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MT1003   Pure and Applied Mathematics

Academic year(s): 2023-2024

Key information

SCOTCAT credits : 20

ECTS credits : 10

Level : SCQF level 7

Semester: 2

Planned timetable: 9am (Mon, Tue, Wed, Thur)

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-requisite(s): Before taking this module you must pass MT1002

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

Guided independent study hours: 140

Assessment pattern

As used by St Andrews: 2-hour Written Examination = 70%, Coursework = 30%

As defined by QAA
Written examinations : 90%
Practical examinations : 0%
Coursework: 10%

Re-assessment: 2-hour Written Examination = 100%

Personnel

Module coordinator: Dr S Lisai
Module teaching staff: Dr Tom Coleman, Dr Finn Smith, Dr Dan Lucas

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