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LP10608: Applied mathematics for engineering

Follow this link for further information on academic years Academic Year: 2013/4
Further information on owning departmentsOwning Department/School: Department of Mechanical Engineering (administered by the Learning Partnerships Office)
Further information on credits Credits: 6
Further information on unit levels Level: Certificate (FHEQ level 4)
Further information on teaching periods Period: Semester 1 at Wiltshire College
Further information on unit assessment Assessment: CW60EX40
Further information on supplementary assessment Supplementary Assessment: Like-for-like reassessment (where allowed by programme regulations)
Further information on requisites Requisites:
Further information on descriptions Description: Aims:
The aims of this unit are to introduce vector and scalar quantities, investigate complex numbers and their engineering applications, introduce mathematical modelling techniques, develop principles of calculus and introduce principles of statistics and probability.

Learning Outcomes:
On completion of the unit the student should be able to:
* Use vector and scalar quantities to solve problems;
* Determine unknown values in engineering problems using complex numbers;
* Investigate mathematical modelling techniques;
* Use higher order calculus techniques;
* Determine characteristics of data using statistical methods;
* Determine the probability of specified outcomes in specified engineering situations.

Skills:
During this unit students should gain the following skills:
Intellectual:
* Improving own learning and performance (F,A)
* Applying theory to practice (T, F, A)
* Formulating outcomes (A)
* Making and defending decisions (A)
* Demonstrating appropriate critical thinking skills (T,F,A)
* Continued development of the appreciation of a rigorous proof
Professional:
* Development of an appropriately analytic approach (T,F)
* Communicating professionally, using different formats (T, F, A)
* Working in an independent and autonomous way (F, A)
* Making choices within given constraints (F,A)
Practical:
* Prioritising time and tasks (F)
* Self organisation and management (F)
* Planning appropriate support and monitoring progress (T,F)
* continue (from part 1) the process of acquisition of suitable mathematical tools and procedures which are of universal and demonstrable application in engineering, science and related fields of employment (T,F,A)
Key:
* Writing reports (A)
* Ability to apply theory into practice (T,F,A)
* Problem solving skills (T,F,A)
* Ability to produce work to agreed specifications and deadlines (A)
* Working effectively as a team and group (T,F)
* Mathematical proficiency and maturity
* A broad introduction to, and understanding of, fundamental ideas and tools of modern pure and applied mathematics (T,F,A)
* Appreciation of the role and power of rigorous proof in mathematics, and a further study of constructing and following such proofs (T,F,A).

Content:
This unit concentrates on:
Vectors
* Vectors and scalars
* Vector arithmetic
Complex Numbers
* Polar and Cartesian co-ordinates
* Complex number algebra
* Complex number division and conjugates
Mathematical modelling
* Matrices
* Adding, subtracting and multiplying matrices
* Determinant and inverse of a matrix
Further Calculus
* Applications of polynomials and calculus
* Partial differentiation
* Higher-order differentiation
* Differentiation rules and techniques: Product Rule, Quotient Rule
* Integration rules and techniques: partial fractions, by parts, substitution
Statistics and Probability
* Mean, median, mode, variance, standard deviation
* Probability (laws, distributions).
Further information on programme availabilityProgramme availability:

LP10608 is Compulsory on the following programmes:

Programmes administered by the Learning Partnerships Office
  • UEME-WFF46 : FdSc Motorsport Engineering (Full-time at Wiltshire College) - Year 2

Notes:
* This unit catalogue is applicable for the 2013/4 academic year only. Students continuing their studies into 2014/15 and beyond should not assume that this unit will be available in future years in the format displayed here for 2013/14.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.