## CE2EMA-Engineering Mathematics 2

Module Provider: School of Construction Management and Engineering, School of Built Environment
Number of credits: 10 [5 ECTS credits]
Level:5
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:

This module will enhance the previous mathematical knowledge of students gained in the module of Engineering Mathematics 1 (CE1EMA) and further develop mathematical theory and techniques that are applicable to Architectural Engineering. This module introduces a wide range of mathematical contents relevant to solve engineering problems including, complex numbers, calculus, functions, linear algebra, and probability. All mathematical techniques in this module 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 2 (CE2NMP) and the module of Design Project 2 (CE2DPR).

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:

• Solve systems of linear equations and to compute the inverse of an invertible matrix,

• Determine the eigenvalues and eigenvectors of matrices,

• Construct confidence intervals for unknown parameters

• Determine the eigenvalues and eigenvectors of matrices,

• Solve systems of linear equations and to compute the inverse of an invertible matrix,

• Conduct analytic solutions of certain first-order ordinary differe ntial equations;

• Explain the concepts of probability

• Find the general solution of linear constant-coefficient second-order ordinary differential equations.

• To apply mathematical techniques to solve engineering-based problems.

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

• Understand and be able to apply complex algebra

• Communicating mathematical ideas clearly and succinctly

Outline content:

• Algebra, algebraic manipulation, and vector algebra,

• Differential and integral calculus and their applications,

• Partial differentiation,

• Matrices and determinants,

• Matrix algebra and linear equations,

• The solution of 1st and 2nd order ordinary differential equations,

• The solution of ordinary differential equations using Laplace transforms,

• Combinatorics

• Probability theory, discrete and continuous probability distributions.

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 that 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.