Learning Partnerships, Unit Catalogue 2008/09 |
AS10242 Mathematics for engineers 2 |
| Credits: 5 |
| Level: Certificate |
| Semester: 1 at Wiltshire College |
| Semester: 2 at Swindon College |
| Assessment: CW 60%, EX 40% |
| Requisites: |
| Before taking this unit you must take AS10241 |
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Aims: The aims of this unit are to:
* introduce vector and scalar quantities; * investigate complex numbers; * introduce mathematical modelling techniques; * develop principles of calculus; * 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 using complex number techniques; * investigate mathematical modelling techniques; * use higher order calculus techniques; * determine probable outcomes using statistical methods. Skills: During this unit students should gain the following skills: Intellectual: * continued development of the appreciation of a rigorous proof Professional: * development of an appropriately analytic approach Practical: * continue (from part 1) the process of acquisition of suitable mathematical tools and procedures which are of universal application in engineering, science and related fields of employment Key: * mathematical proficiency and maturity * a broad introduction to, and understanding of, fundamental ideas and tools of modern pure and applied mathematics * appreciation of the role and power of rigorous proof in mathematics, and a further study of constructing and following such proofs. Content: This unit concentrates on: Vectors * vectors and scalars * vector arithmetic Complex Numbers * polar and Cartesian co-ordinates * complex number algebra * complex number division, 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). |