Module Title:   Engineering Foundation Mathematics

Module Credit:   30

Module Code:   ENG0017J

Academic Year:   2015/6

Teaching Period:   Semester 1

Module Occurrence:   A

Module Level:   FHEQ Level 3

Module Type:   Linked 10+20

Provider:   Engineering

Related Department/Subject Area:   Engineering: Mathematics and Computing (not in use)

Principal Co-ordinator:   Dr AM Byrne

Additional Tutor(s):   Prof IM Mujtaba

Prerequisite(s):   None

Corequisite(s):   None

Aims:
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.

Learning Teaching & Assessment Strategy:
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.

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

  Examination - closed book 1.50 25%
 
  1.5 hr closed book examination
  Classroom test   25%
 
  3 classroom tests, 1 summative, 2 formative
  Examination - closed book 1.50 25%
 
  1.5 hr closed book examination
  Examination - closed book 1.50 25%
 
  1.5 hr closed book examination

Outline Syllabus:
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.

Version No:  3