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Module Title

Engineering Mathematics 3

School

School of Engineering

Department

Mechanical Engineering

Module Code

04 23779

Module Lead

Dr Daniel Loghin

Level

Honours Level

Credits

20

Semester

Semester 2

Pre-requisites

Co-requisites

Restrictions

None

Contact Hours

Lecture-40 hours
Tutorial-10 hours
Supervised time in studio/workshop-10 hours
Guided independent study-140 hours Total: 200 hours

Exclusions

Description

The aim of the module is to enhance the students’ mathematical knowledge and confidence in preparation for the demanding applications of the final stage modules, and a possible research career involving engineering science. They will develop an understanding of the numerical techniques used within modern Finite Element Analysis computer packages and develop an understanding of the mathematical basis of many of the advanced systems of equations governing engineering problems.

Nonlinear iterations with application to root-finding methods:

Bisection method

fixed point iteration method;

secant and Newton's method;

interpolation by polynomials:

Lagrange and Hermite interpolation;

piecewise polynomial interpolation;

numerical integration:

Newton-Cotes rules;

Gauss quadratures;

product rules;

numerical methods for initial value problems

Euler methods;

explicit Runge-Kutta methods.

Learning Outcomes

By the end of the module the student should be able to:

Demonstrate proficiency in vector calculus, including a good understanding of 3D geometry, ability to evaluate line, surface and volume integrals as well as the ability to solve boundary value problems using some standard techniques.

Demonstrate knowledge and understanding of a wide range of standard numerical techniques employed in mechanical and related engineering disciplines.

Assessment

23779-22 : Quiz 1 : Class Test (25%)
23779-23 : Quiz 2 : Class Test (25%)
23779-24 : Exam : Exam (Centrally Timetabled) - Written Unseen (50%)

Assessment Methods & Exceptions

Assessments:
(100%) Continuous assessment (comprising two timed summative assessments, 50% each). (The final 50%: replaced by 2-hour closed book centrally timetabled exam in May/June assessment period if this is possible).