Engineering Foundation Mathematics

30

ENG0017J

2015/6

Semester 1

A

FHEQ Level 3

Linked 10+20

Engineering

Engineering: Mathematics and Computing (not in use)

Dr AM Byrne

Prof IM Mujtaba

None

None

To develop the basic skills of algebra, geometry and trigonometry and to introduce the mathematics of engineering. To extend the knowledge base in algebra and geometry and to introduce concepts of statistics. To develop concepts in differential and integral calculus, together with basic analytical techniques and obtain experience in applications of calculus to engineering problems.

Concepts, principles & practical calculations are developed and practised in mixed lecture/tutorial classes, and are consolidated in tutorial group sessions. Written classroom tests will assess the development of the application of practical skills to the knowledge base of the strand, and the formal examinations will assess the wider learning outcomes expressed in the descriptor. In all cases oral feedback is provided.

Study Hours: | ||||||

Lectures: | 96.00 | Directed Study: | 151.50 | |||

Seminars/Tutorials: | 48.00 | Other: | 0.00 | |||

Laboratory/Practical: | 0.00 | Formal Exams: | 4.50 | Total: 300.00 |

On successful completion of this module you will be able to...

apply standard algebraic techniques, geometry and trigonometry;

On successful completion of this module you will be able to...

apply mathematical techniques to problems in engineering contexts and notation;

On successful completion of this module you will be able to...

display skills and knowledge in relation to systematic problem solving

001. | Assessment Type | Duration | Percentage |

Examination - closed book | 1.50 | 25% | |

Description | |||

1.5 hr closed book examination | |||

002. | Assessment Type | Duration | Percentage |

Classroom test | 25% | ||

Description | |||

3 classroom tests, 1 summative, 2 formative | |||

003. | Assessment Type | Duration | Percentage |

Examination - closed book | 1.50 | 25% | |

Description | |||

1.5 hr closed book examination | |||

004. | Assessment Type | Duration | Percentage |

Examination - closed book | 1.50 | 25% | |

Description | |||

1.5 hr closed book examination |

Algebra: rules of indices and logarithms, manipulation of formulas, factorisation, completing the square, linear and quadratic equations and associated inequalities, factorisation and long division of polynomials, partial fractions. Plane co-ordinate geometry: distance, lines, circles, parabola, ellipse and hyperbola. Application of straight lines to linear programming. Properties of exponential and logarithmic functions and their graphs. Trigonometry: basic definitions, curves and rules, sine and cosine rules for triangles, identities and the general solution of equations. Functions: notation, polynomial, reciprocal, trigonometric, exponential and logarithmic with properties and graphs. Series: arithmetic, and geometric series. Introduction to matrices including linear transformations. Numerical methods: non-calculus methods for finding the roots of equations, Newton-Raphson, the evaluation of definite integrals. Statistics: introduction to data analysis and probability, binomial series and distribution. Differentiation: Limit definition and graphical representation, derivatives, product, quotient, and function of a function rules. Higher order derivatives. Use of tables. Application to rates of change, maximum and minimum, series approximations and kinematics. Integration: Anti-derivative, simple substitution, a limit of a sum. Use of tables. Applications: area, volume, centroids, kinematics, growth and decay. Differential equations.

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