Study information

# Applied Mathematics - 2023 entry

MODULE TITLE CREDIT VALUE Applied Mathematics 30 MTH0002 Dr 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 Guided Independent Study Placement / Study Abroad 88 212 0
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 Written Exams Practical Exams 40 60 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

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]

• 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]