MTH0002 - Applied Mathematics (2023)

Back | Download as PDF
MODULE TITLEApplied Mathematics CREDIT VALUE30
MODULE CODEMTH0002 MODULE CONVENERDr Houry Melkonian (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11 11 0
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. It also introduces you to programming and problem solving using computer.

In the first part of the module, you will explore and learn about kinematics of a particle, the 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 technique to analyse and reformulate a given problem and  communicate results.

In the second part of the module, you will learn how to formulate and structure an algorithm to solve a problem, as well as acquire skills to write, test and debug programs. You will learn how to use MATLAB to perform some numerical computations.

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)
Module Specific Skills and  Knowledge:

1 Recall and apply mathematical skills to model mechanical and dynamical systems ,

2 Use Extend the range of mathematical skills to use them in unstructured problems,

3 formulate models of the physical world, applying mathematical machinery such as vectors and calculus to develop and analyse these models;

4 Present your findings in a logical and coherent manner;

Discipline Specific Skills and Knowledge:

5. Formulate and solve problems

6. Use mathematics as an effective medium of modelling and communication

7. Mathematical modelling using MATLAB

 
Personal and Key Transferable/ Employment Skills and Knowledge:

8. Work effectively as part of a small team and learn to analyse and evaluate solutions

9. Communicate orally with team members and via written presentation

10. 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
  • MATLAB as a language: variables and data, statements, commands, simple arithmetic calculations.
  • Matrices; linear equations
  • MATLAB programming: Algorithms, scripts, functions, flow control.
  • Numerical computing with MATLAB: Curve fitting; zeros and roots; numerical integration; ordinary differential equations.
LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 88.00 Guided Independent Study 212.00 Placement / Study Abroad 0.00
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning & teaching activities 55 Formal lectures of new material
Scheduled learning & teaching activities 33 Tutorials/workshpos
Guided independent study 212
Lecture & assessment 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 (term 1) 10 x 1 hour 1-6, 8-10 Exercises discussed in class, solutions provided
Weekly exercises (term 2) 10 x 1 hour 1-10 Exercises discussed in class, solutions provided

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 40 Written Exams 60 Practical Exams 0
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
2 tests 2 x 5 30 mins 1-6 Annotated script, and written feedback
Mini-project 10 500 words or equivalent 1-6, 8-10 Annotated script, and written feedback
Written exam (Jan) 30 2 hours 1-6 Annotated script, and written feedback
1 coursework 20  1000 words or equivalent 1-7 Annotated script, and written feedback 
1 coursework 30 1500 words or equivalent 1-7 Annotated script, and 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
2 tests 2 tests (2 x 5%) 1-6 Re-assessment period
Mini-project Mini-project (10%) 1-6, 8-10 Ref/Def period
Written exam (Jan) Written exam  (30%) 1-6 Ref/Def period
1 coursework 1 coursework (20%) 1-7 Ref/Def period
1 coursework 1 coursework (30%) 1-7 Ref/Def 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 – if you have failed the module overall (i.e. a final overall module mark of less than 40%) you will be required to undertake re-assessments as described in the table above for any of the original assessments that you failed. 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
Basic reading/Web-based and electronic resources: 
 
• ELE – College to provide hyperlink to appropriate pages
 

Other resources:

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

Reading list for this module:

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

 

 

Reading list for this module:

Type Author Title Edition Publisher Year ISBN Search
Set Dyke P. & Whitworth R. Guide to Mechanics Macmillan 1992 000-0-333-51072-0 [Library]
Set Collinson C.D. and Roper T. Particle Mechanics Arnold 1995 000-0-340-61046-8 [Library]
Set Lunn M. A First Course in Mechanics Oxford University Press 1991 978-0198534334 [Library]
CREDIT VALUE 30 ECTS VALUE 15
PRE-REQUISITE MODULES MTH0001
CO-REQUISITE MODULES MTH0001
NQF LEVEL (FHEQ) 4 AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Thursday 29 July 2021 LAST REVISION DATE Tuesday 30 January 2024
KEY WORDS SEARCH Mechanics, Vectors, Kinematics, Dynamics, MATLAB