MATH07035 2019 Mathematics 3
Full Title
Mathematics 3
Transcript Title
Mathematics 3
Code
MATH07035
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
MENG - Mech. and Electronic Eng.
Level
07 - NFQ Level 7
Credit
05 - 05 Credits
Duration
Stage
Fee
€
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
Kevin Collins
Programme Membership
SG_EELCO_B07 201900 Bachelor of Engineering in Engineering in Electronic and Computing
SG_EMECL_B07 201900 Bachelor of Engineering in Mechanical Engineering
SG_EPREC_B07 201900 Bachelor of Engineering in Precision Engineering and Design
SG_EMTRN_B07 201900 Bachelor of Engineering in Mechatronic Engineering
SG_EMTRN_J07 201900 Bachelor of Engineering in Mechatronic Engineering (Add-on)
SG_EPREC_J07 201900 Bachelor of Engineering in Precision Engineering and Design
SG_ETRON_J07 201900 Bachelor of Engineering in Electronic and Computer Engineering
SG_EPLYP_J07 201900 Bachelor of Engineering in Polymer Processing (Add-on)
SG_EMECH_J07 201900 Bachelor of Engineering in Mechatronic Engineering
SG_EMECH_B07 201900 Bachelor of Engineering in Mechatronic Systems
SG_EMTRN_J07 202000 Bachelor of Engineering in Mechatronic Engineering
SG_EMSYS_B07 201900 Bachelor of Engineering in Mechatronic Systems
SG_EMECH_N07 202000 Certificate in Mechatronic Engineering
SG_EPOLP_J07 202200 Bachelor of Engineering in Polymer Process Engineering (Add-on)
SG_ETRON_J07 202200 Bachelor of Engineering in Electronic and Computer Engineering (Add-on)
SG_EELCO_B07 202200 Bachelor of Engineering in Electronic and Computing
SG_EMECH_N07 202400 Certificate in Mechatronic Engineering
SG_EMTRN_J07 202300 Bachelor of Engineering in Mechatronic Engineering (Add-on)
SG_EMTRN_B07 202300 Bachelor of Engineering in Mechatronic Engineering
SG_EPOLZ_J07 202200 Bachelor of Engineering in Polymer Process Engineering (Add-on)
SG_EPOLY_J07 202400 Bachelor of Engineering in Polymer Processing (Add-on)
SG_EDATA_J07 202200 Bachelor of Engineering in Data Centre Facilities Engineering (Add-on)
Description
This module consists of topics from Integral and Differential Calculus, Linear Algebra and Complex Numbers. These topics include differential equations and applications, Laplace Transforms, De Moivre's Theorem, Fourier Transforms, Gaussian Elimination and z-transforms.
Learning Outcomes
On completion of this module the learner will/should be able to;
1.
Solve first order differential equations using separable variables technique and the integrating factor method
2.
Solve first and second order differential equations using Laplace transforms
3.
Solve second order differential equations using the complementary function and particular integral methods.
4.
Calculate powers of complex numbers using theorems of DeMoivre and Euler.
5.
Solve linear systems using Gaussian Elimination and apply this to engineering problems
6.
Be able to obtain the z-Transform of some standard functions and solve first order difference equations.
7.
Evaluate eigenvalues and eigenvetors and solve matrix transformation problems
Teaching and Learning Strategies
.
Module Assessment Strategies
Written examinations
Moodle quizzes
Repeat Assessments
.
Indicative Syllabus
- First order differential equations: separation of the variables, exact and inexact forms. Solution of linear differential equations using the Integrating Factor Method.
- Definition of Laplace transform and calculation of the Laplace transform and inverse Laplace transform of functions. Solution of first and second order differential equations using Laplace transforms.
- The homogeneous equation . Solution of the non-homogeneous equation using the complementary function and particular integral.
- DeMoivre's Theorem and Euler's Theorem for the polar form of a complex number. Argand diagrams and powers of complex numbers.
- Gaussian Elimination and applications. Determinants and Cramer's rule.
- Eigenvalues and eigenvectors, matrix transformations.
- Z and inverse z transforms. Solution of difference equations by z-transform.
Coursework & Assessment Breakdown
Coursework & Continuous Assessment
30 %
End of Semester / Year Formal Exam
70 %
Coursework Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | CA 15% Semester 1, 15% Semester 2 | Coursework Assessment | Assessment | 30 % | OnGoing | 1,2,3,4,5,6,7 |
End of Semester / Year Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | Semester 1 Exam | Final Exam | Closed Book Exam | 35 % | End of Semester | 1,2,3 |
| 2 | Semester 2 Exam | Final Exam | Assessment | 35 % | End of Semester | 4,5,6,7 |
Full Time Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Lecture Theatre | lecture | 2 | Weekly | 2.00 |
| Tutorial | Computer Laboratory | Tutorial | 1 | Weekly | 1.00 |
| Independent Learning | Not Specified | Independent Learning | 3 | Weekly | 3.00 |
Total Full Time Average Weekly Learner Contact Time 3.00 Hours
Part Time Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Not Specified | Independent Learning | 4 | Weekly | 4.00 |
Total Part Time Average Weekly Learner Contact Time 4.00 Hours
Online Learning Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Distance Learning Suite | Lecture | 2 | Weekly | 2.00 |
Total Online Learning Average Weekly Learner Contact Time 2.00 Hours
Required & Recommended Book List
Recommended Reading
1982-07-08 Engineering Mathematics: Programmes and Problems Macmillan
ISBN 0333340523 ISBN-13 9780333340523
1982-07-08 Engineering Mathematics: Programmes and Problems Macmillan
ISBN 0333340523 ISBN-13 9780333340523
Recommended Reading
2017-05-25 Engineering Mathematics Routledge
ISBN 9781138673595 ISBN-13 9781138673595
2017-05-25 Engineering Mathematics Routledge
ISBN 9781138673595 ISBN-13 9781138673595
Module Resources
Non ISBN Literary Resources
|
Authors |
Title |
Publishers |
Year |
|
K.A.Stroud |
Engineering Mathematics |
Palgrave and Macmillan |
2007 |
Journal Resources
None
URL Resources
None
Other Resources
None
Additional Information
None