KL6002 - Methods of Applied Mathematics

The module will be delivered using a combination of lectures and problem solving session, which will complement the taught material and enable you to obtain help with problems arising. In general, each topic presented in the lecture will be followed by a problem set and a problem study class. You will receive guidance on an individual basis to enhance your knowledge and expertise.

You will be assessed by written mid-term assignment (30%) a formal examination (70%) at the end of semester two. The examination will cover all aspects of the module and will assess your problem solving abilities when applied to new unseen problems.

Informal feedback on work in progress will be given continuously during the module. You will also receive formal assignment feedback at the end of the first semester and examination feedback at the end of the module.

Lectures and integrated problem solving sessions will be the main point of academic contact, providing you with a formal teaching environment for core learning. Outside formal scheduled teaching, you will be able to contact the module team (module tutor, year tutor, programme leader) either via email or the open door policy operated throughout the programme. Further academic support will be provided through technology-enhanced resources via the e-learning portal. You will also have the opportunity to give your feedback formally through periodic staff-student committees and directly to the module tutor at the end of the lecture.

All modules at Northumbria include a range of reading materials that students are expected to engage with. The reading list for this module can be found at: http://readinglists.northumbria.ac.uk
(Reading List service online guide for academic staff this containing contact details for the Reading List team – http://library.northumbria.ac.uk/readinglists)

Knowledge & Understanding:

1. Identify suitable approaches for the analytic exact and approximate solutions of ordinary and partial differential equations and integrals.

2. Construct explicit analytic exact and approximate asymptotic solutions to Ordinary and Partial Differential equations. Derive asymptotic formulas for Integrals arising in applied problems including fluid dynamics, electrodynamics, quantum mechanics.

Intellectual / Professional skills & abilities:

3. Construct rigorous mathematical approximations and understand and control their effectiveness, and range of applicability.

4. Discuss and critically evaluate modern analytical approaches to real world problems.

Personal Values Attributes (Global / Cultural awareness, Ethics, Curiosity) (PVA):
5. Demonstrate the ability to manage time and resources effectively.

SUMMATIVE
1. Written assignment (30%) – 1, 3, 4, 5
Examination (70%) – 1, 2, 3, 4, 5

FORMATIVE
problem-solving classes – 1, 2, 3, 4, 5

Feedback will take several forms, including verbal feedback after lectures, individual verbal and written feedback following written assignment, and written feedback on the exam.

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Methods of Applied Mathematics will equip you with a broad range of advanced techniques for the exact and approximate solution of applied mathematics problems in various real-world contexts. The module will enable to identify and choose the suitable methods of mathematical approximation and will allow you to develop advanced problem-solving skills through lectures integrated with practical sessions. You will be assessed by a final examination designed to put forward your newly developed skills and techniques. You will receive constructive feedback during the formal contact hours and throughout the year. The eLearning Portal will serve as a point of contact, information and discussion with the tutor. The newly learned concepts and acquired skills will advance your knowledge of applicable mathematics and will enhance your future employability.