Short Title:Technical Mathematics 6
Full Title:Technical Mathematics 6
Module Code:MATH H3071
 
Credits: 5
NFQ Level:7
Field of Study:Electricity and energy
Module Delivered in 2 programme(s)
Reviewed By:JAMES WRIGHT
Module Author:PAUL ROBINSON
Module Description:This module aims to: To support Semester 6 modules by introducing Laplace Transforms and their use in solving linear differential equations. 2. To deepen the students knowledge of geometry, by introducing the formulation and solution of 3D problems involving lines and planes in vector notation. To be able to calculate the divergence, gradient and curl and relate these to ideas in geometry and physics. 3. To use iterative techniques to solve equations numerically and as an introduction to material they may cover in year 4.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 To find and invert Laplace transforms directly and indirectly from Tables
LO2 To use Laplace Transforms in the solution of linear first and second order differential equations with constant coefficients
LO3 To write the coordinates of points in i, j, k notation from a diagram
LO4 To find the equations of lines, line segments and planes and solve problems involving these
LO5 To find the divergence, gradient and curl for polynomially defined functions
LO6 To use the gradient to find the directional derivative, maximum rate of change, tangent planes and normal lines
LO7 Use Newton’s Method and the Bisection Method in one variable to numerically solve an equation
LO8 To use the first order Euler method to numerically solve a first order differential equation
Pre-requisite learning
Co-requisite Modules
No Co-requisite modules listed
 

Module Content & Assessment

Content (The percentage workload breakdown is inidcative and subject to change) %
The Laplace Transform:
Definition. The Laplace transform of common functions. Linearity rules. Transform of derivatives. Application: Solution of first and second order linear ODE’s with constant coefficients.
40.00%
Vector Calculus
i, j, k notation. Equations of lines and planes in 3D. Intersection point of line with a plane. Gradient, divergence, curl. Directional derivatives and maximum rate of change. Tangent planes and normal lines to a surface.
35.00%
Numerical Methods
Newton-Raphson and Bisection methods. First order Euler method for a first order differential equation
25.00%
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Continuous Assessment CA Test covering the Laplace Transform and 3D lines and planes 1,2,3,4 15.00 Week 7
Continuous Assessment CA to use a spreadsheet to implement bisection, Newton or Euler methods and high threshold Keyskills test 3,4,5,6,7,8 15.00 Week 12
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4,5,6,7,8 70.00 End-of-Semester
Reassessment Requirement
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.

IT Tallaght reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Classwork 3.00 Every Week 3.00
Lecturer/Lab Computing practical 1.00 Every Week 1.00
Independent Learning Time Outside of Class 3.00 Every Week 3.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
This module has no Part Time workload.
 

Module Resources

Required Book Resources
  • K. A. Stroud, with additions by Dexter J. Booth 2007, Engineering mathematics, 4th ed Ed., Industrial Press New York [ISBN: 9780831133276]
Recommended Book Resources
  • K.A. Stroud, Dexter J. Booth, 2003, Advanced Engineering Mathematics, 4th ed Ed., Palgrave macmillian UK [ISBN: 9781403903129]
This module does not have any article/paper resources
This module does not have any other resources
 

Module Delivered in

Programme Code Programme Semester Delivery
TA_EAEEE_B Bachelor of Engineering (Honours) in Sustainable Energy Engineering 6 Mandatory
TA_EAEEE_D Bachelor of Engineering in Sustainable Energy & Environmental Engineering 6 Mandatory