|
 Academic Year:
| 2013/4 |
| Owning Department/School:
| Department of Mechanical Engineering (administered by the Learning Partnerships Office) |
| Credits:
| 6 |
| Level:
| Certificate (FHEQ level 4) |
| Period: |
Semester 1 at Wiltshire College |
| Assessment:
| CW60EX40 |
| Supplementary Assessment: |
Like-for-like reassessment (where allowed by programme regulations) |
| Requisites:
| |
| 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). |
| Programme availability: |
LP10608 is Compulsory on the following programmes:Programmes administered by the Learning Partnerships Office
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