ES19315 Engineering Mathematics
Introductory description
ES19315 Engineering Mathematics
Module aims
To present, in context, and provide skills in the application of fundamental Mathematics concepts that underpin all of Engineering. To encourage the development of problem solving as required in other Year 1 modules and in order that more advanced material can be tackled in modules taught in later years.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
Mathematics:
Functions, Algebra and Algebraic Manipulation, Coordinate Geometry, Differentiation, Vector Algebra, Matrices and Determinants, Matrix Algebra and Linear equations, Complex Numbers, Partial Differentiation. Integration, Applications of Integration, Solution of 1st and 2nd Order Ordinary Differential Equations, Laplace Transforms, Probability Theory, Discrete and Continuous Probability Distributions.
Learning outcomes
By the end of the module, students should be able to:
 Recognise and be able to apply mathematical tools and techniques to solve engineering based problems. [C1(D), M1(D), C3(D), M3(D)]
 Recognise and be able to apply probabilistic and statistical tools and techniques to solve engineering based problems. [C1(D), M1(D), C3(D), M3(D)]
 Make appropriate assumptions to simplify and thus model reallife Engineering problems. [C1(D), M1(D), C3(D), M3(D)]
 Analyse models using basic mathematical techniques including statistical and numerical techniques. [C1(D), M1(D), C3(D), M3(D)]
Indicative reading list
"Mathematics for Engineers: A Modern Interactive Approach (Fourth Edition)" by Anthony Croft and Robert Davison, Pearson/Prentice Hall, 20015, ISBN 9781292065939
Subject specific skills
Ability to integrate analytical, mathematical and programming skills for analysing, developing and critically evaluating mathematical engineering models. Ability to be pragmatic, taking a systematic approach and the logical and practical steps necessary for complex concepts to become a reality.
Transferable skills
Ability to overcome difficulties by employing skills, knowledge and understanding in a flexible manner. Ability to apply mathematical and computational methods to communicate parameters, model and optimise solutions. Ability to apply problemsolving skills, information retrieval, and the effective use of specific software packages and general IT facilities. Ability to plan selflearning and improve performance as the foundation for lifelong learning and continuous professional development.
Teaching split
Provider  Weighting 

School of Engineering  78% 
WMG  22% 
Study time
Type  Required 

Lectures  20 sessions of 1 hour (13%) 
Seminars  (0%) 
Tutorials  20 sessions of 1 hour (13%) 
Private study  110 hours (73%) 
Total  150 hours 
Private study description
110 hours of guided independent learning
Costs
No further costs have been identified for this module.
You do not need to pass all assessment components to pass the module.
Assessment group B3
Weighting  Study time  

Written Examination  100%  
2HR Written Exam

Feedback on assessment
 Online tests.
 Worked examples in revision lectures.
 Model solutions to past papers.
 Support through advice and feedback hours.
 Cohortlevel feedback on final examination.
 Tutorials
Postrequisite modules
If you pass this module, you can take:
 ES44015 Computational Fluid Dynamics
 ES4G315 Dynamics of Mechanical Systems
Courses
This module is Core for:
 Year 1 of UESAH335 BEng Automotive Engineering
 Year 1 of UESAH161 BEng Biomedical Systems Engineering
 Year 1 of UESAH216 BEng Civil Engineering
 Year 1 of UESAH63W BEng Electronic Engineering
 Year 1 of UESAH113 BEng Engineering
 Year 1 of UESAHN15 BEng Engineering Business Management
 Year 1 of UESAHH75 BEng Manufacturing and Mechanical Engineering
 Year 1 of UESAH315 BEng Mechanical Engineering
 Year 1 of UESAHH35 BEng Systems Engineering

UESAH112 BSc Engineering
 Year 1 of H112 Engineering
 Year 1 of H112 Engineering
 Year 1 of UESAHN11 BSc Engineering and Business Studies
 Year 1 of UESAH336 MEng Automotive Engineering
 Year 1 of UESAH163 MEng Biomedical Systems Engineering
 Year 1 of UESAH217 MEng Civil Engineering
 Year 1 of UESAH63X MEng Electronic Engineering
 Year 1 of UESAH114 MEng Engineering
 Year 1 of UESAHH76 MEng Manufacturing and Mechanical Engineering
 Year 1 of UESAH316 MEng Mechanical Engineering

UESAHH31 MEng Systems Engineering
 Year 1 of HH31 Systems Engineering
 Year 1 of HH35 Systems Engineering
 Year 1 of UCSAG406 Undergraduate Computer Systems Engineering
 Year 1 of UCSAG408 Undergraduate Computer Systems Engineering
 Year 1 of UESAH605 Undergraduate Electrical and Electronic Engineering
 Year 1 of UESAH606 Undergraduate Electrical and Electronic Engineering MEng