## CE1EMA-Engineering Mathematics 1

Module Provider: School of Construction Management and Engineering, School of Built Environment
Number of credits: 10 [5 ECTS credits]
Level:4
Terms in which taught: Autumn term module
Pre-requisites:
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2020/1

Module Convenor: Dr Ben Potter

Type of module:

Summary module description:

A robust foundation in mathematics is a key element to study and develop a good understanding of engineering contents. This module builds upon the previous mathematical knowledge of students and further develop mathematical theory and techniques that are applicable for Architectural Engineering. This module introduces a wide range of mathematical content relevant to solve engineering problems including, complex numbers, calculus, functions and linear algebra which will be introduced within the engineering context. The mathematical contents of this module will be further applied to solve engineering problems in the module of Numerical Modelling and Programming 1 (CE1NMP) and the module of Design Project 1 (CE1DPR). In addition, this module provides a basis for the more advanced mathematical techniques that will be provided in the Module of Engineering Mathematics 2 (CE2EMA) in part 2.

Aims:

The aim of this module is to provide students with mathematical techniques and provide skills in the application of fundamental Mathematics to solve engineering problems.

Assessable learning outcomes:

On successful completion of this module the student should be able to:

• Perform basic algebraic manipulation with complex numbers,

• Determine critical points of functions,

• Apply derivatives to find intervals on which the given function is increasing or decreasing,

• Solve algebraic equations and inequalities involving the square root and modulus function,

• Apply direct and iterative methods for the sol ution of linear equations,

• Apply the techniques of the differential calculus to determine the maxima and minima of functions,

• Carry out simple calculations in vector algebra, vector geometry and matrix algebra.

• To apply mathematical techniques and solve engineering-based problems,

• To make appropriate assumptions to simplify and model real-life engineering problems,

• Expressing problems in mathematical language.

Outline content:

Revisiting A-Level Mathematical contents:

• Algebra

• Exponential and Logarithm

• Parametric Equations

• Vectors

• Trigonometry

• Sequences and Series

• Functions and calculus

New contents:

• complex numbers

• Coordinate geometry and vectors

• integration (Line surface and volume integrals )

• Multiple integral

• Sequences and series

• partial differentiation

• Power series expansions

• Differential vector calculus (Gradient, Divergence, and Curl)

Global context:

The skills and knowledge that students will acquire from this module have global applications.

Brief description of teaching and learning methods:

Teaching in this module will be by means of lectures and tutorials. These sessions will be complemented by  guided independent study.

Independent study hours needed depend on the learning style of each individual. The following guide for independent study hours is just an example.

Contact hours:
 Autumn Spring Summer Lectures 20 Tutorials 10 Guided independent study: Wider reading (independent) 15 Wider reading (directed) 5 Exam revision/preparation 15 Peer assisted learning 5 Advance preparation for classes 10 Preparation for tutorials 10 Revision and preparation 8 Reflection 2 Total hours by term 85 0 15 Total hours for module 100

Summative Assessment Methods:
 Method Percentage Written exam 60 Set exercise 40

Summative assessment- Examinations:

Summative assessment by examination will be based on a 2-hour examination in May/June.

Summative assessment- Coursework and in-class tests:

There will be a set exercise test which will be assessed summatively and should be submitted online by the end of week 11 of the autumn term.

Formative assessment methods:

This module includes formative assessment of a set of exercises and problem-solving practices to apply mathematical techniques and solve engineering problems.

Penalties for late submission:

The Module Convenor will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.
The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:

A mark 0f 40%

Reassessment arrangements:

Students who have failed in their first attempt will be provided with an opportunity to re-sit in a two-hour re-examination.