Study information

Applied Mathematics - 2024 entry

MODULE TITLEApplied Mathematics CREDIT VALUE15
MODULE CODEMTH0006 MODULE CONVENERDr Stephen McGuire (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11
Number of Students Taking Module (anticipated) 30
DESCRIPTION - summary of the module content

This module introduces you to mathematical modelling to understand and solve a range of problems concerning real physical systems. You will explore and learn about kinematics of a particle, Newtonian dynamics and its applications. You will also learn about vectors in mechanics and the use of calculus in the modelling of physical systems, as well as how to use theories and mathematical techniques to analyse and reformulate a given problem and communicate results.

Students are expected to have knowledge of Principles of Pure Mathematics as a co-requisite (MTH0001).

AIMS - intentions of the module

One of the main objectives of this module is to develop your ability to use mathematical representations and to recognise their importance for understanding and modelling real-world problems. In which case, a sound foundation of core mathematical machinery is necessary to work out solutions. The module will act as a building block for further advanced studies in mathematics, engineering and applied sciences. The knowledge and skills developed in this module will ease adaptability and engagement with courses in your undergraduate degree programme.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

On successful completion of this module you should be able to:

Module Specific Skills and Knowledge

1. Recall and apply mathematical skills to model mechanical and dynamical systems;
2. Formulate models of the physical world, applying mathematical machinery such as vectors and calculus to develop and analyse these models;
3. Present your findings in a logical and coherent manner;

Discipline Specific Skills and Knowledge

4. Formulate and solve problems;
5. Use mathematics as an effective medium of modelling and communication;

Personal and Key Transferable / Employment Skills and Knowledge

6. Learn to analyse and evaluate solutions effectively;
7. Demonstrate self-management and time-management skills.
SYLLABUS PLAN - summary of the structure and academic content of the module
  • Vectors; forces
  • Kinematics;
  • Dynamics; Newton’s law.
  • Collisions.
  • Oscillations; circular motion.
LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 44 Guided Independent Study 106 Placement / Study Abroad 0
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning and teaching activities  44 Lectures and tutorials 
Guided independent study 106 Preparation, wider reading 

 

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Weekly exercises  10 x 1 hour 1-7 Exercises discussed in class, solutions provided 

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 30 Written Exams 70 Practical Exams 0
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
4 Coursework exercises (You will complete 4 x coursework exercises. The 2 exercises with the highest marks will count towards your final mark (2 x 10% of credit) 20 4 x 10 hours 1-7 Annotated scripts/written feedback
Mini project 10 500 words or equivalent 1-7 Annotated scripts/written feedback
Written exam 70 2 hours

1-7

 Annotated scripts/written feedback

 

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-assessment
4 Coursework exercises (2 x 10%) (4 x 10 hours) 4 Coursework exercises (2 x 10%) (4 x 10 hours) 1-7 Referral/deferral period
Mini project (10%) (500 words) Mini project (10%) (500 words) 1-7 Referral/deferral period
Written exam (70%) (2 hours) Written exam (70%) (2 hours) 1-7 Referral/deferral period

 

RE-ASSESSMENT NOTES
Deferral – if you have been deferred for any assessment, you will be expected to complete relevant deferred assessments as determined by the Mitigation Committee. The mark given for re-assessment taken as a result of deferral will not be capped and will be treated as it would be if it were your first attempt at the assessment.
 
Referral – Reassessment will be by a single written exam worth 100% of the module only. The mark given for a re-assessment taken as a result of referral will be capped at 40%.

 

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

Web based and Electronic Resources:

  • ELE

Other Resources:

  • Guide to Mechanics’ by Phil Dyke and Roger Whitworth, 2001
  • ‘Mechanics’ by W. Chester, 1979
  • ‘Particle Mechanics’ by Collinson, C. D. & Roper, T., London: Arnold, 1995
  • ‘A first course in mechanics’ by Lunn, M., Oxford: Oxford University Press, 1991

 

Reading list for this module:

There are currently no reading list entries found for this module.

CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES None
CO-REQUISITE MODULES None
NQF LEVEL (FHEQ) 3 AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Tuesday 30th January 2024 LAST REVISION DATE Friday 13th September 2024
KEY WORDS SEARCH Mechanics; Vectors; Kinematics; Dynamics

Please note that all modules are subject to change, please get in touch if you have any questions about this module.