Form 20
Module Title
Module
Co-ordinator
Version 3.0 (2007/2008)
Heriot-Watt University - Module Descriptor Template (RAY)
Engineering Mathematics and Statistics
EECE Teaching Group Convener
School
EPS
SCQF
Level
9
Module
Code
B39AX
Semester
On or OffCampus
Credits
1
on
15
1. Pre-requisites
B88AO, B88AP2 or equivalent
2. Linked Modules
(specify if synoptic)
3. Excluded Modules
4. Replacement Module
Code:
Date Of Replacement:
5.
Availability as an
Elective
Yes
No
X
6. Degrees for which this
is a core module
7. Aims
To give an introduction to vector calculus that enables students to compute line, surface and volume integrals and to apply the Gauss’, Stokes' and Green's theorems.
To develop a critical understanding of discrete and continuous probability theory.
To introduce statistical data analysis and its application in science and engineering.
8. Syllabus
Vector functions and their use in electrical engineering.
Surface integrals and the Divergence. Gauss’ law and its geometrical meaning. Gauss' law for electric and magnetic fields.
Line integrals and the Curl. Stokes’ theorem and its geometric meaning. Applications of Stokes’ theorem.
The gradient and Laplacian. Their use in analysis of electric and magnetic fields. Green’s theorems.
Review of discrete probability Theory: axioms of probability, conditional probability, Bayes' rule.
Random variables, Gaussian and other probability density function, the central limit theorem.
Ergodicity and stationarity in stochastic processes.
Bayesian Inference: statistical decision theory, hypothesis testing, discriminant functions and decision boundaries, classification, signal detection in noise.
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Form 20
Module Title
Module
Co-ordinator
Version 3.0 (2007/2008)
Heriot-Watt University - Module Descriptor Template (RAY)
Engineering Mathematics and Statistics
EECE Teaching Group Convener
School
EPS
SCQF
Level
9
Module
Code
B39AX
Semester
1
On or OffCampus
Credits
on
15
9. Learning Outcomes (HWU Core Skills: Employability and Professional Career Readiness)
Subject Mastery
Understanding, Knowledge and Cognitive Skills
Scholarship, Enquiry and Research (Research-Informed Learning)
An understanding of vector calculus, integration techniques and fundamental theorems for electrical engineering.
An understanding of probability and estimation theory
Critical awareness of statistical modelling issues
An introductory knowledge of statistical methods in solving engineering problems.
Personal Abilities
Industrial, Commercial & Professional Practice
Autonomy, Accountability & Working with Others
Communication, Numeracy & ICT
To significantly develop student's problem solving abilities and problem formalisation.
To be able to understand mathematical expression of engineering concepts
10. Assessment Methods
Method
11. Re-assessment Methods
Duration of Exam
Weighting (%)
Synoptic modules?
Method
(if applicable)
Coursework
Examination
2hrs
Duration of Exam
(if applicable)
30
70
Examination
2 hrs
12. Date and Version
Date of Proposal
16 February 2010
Date of Approval by
School Committee
Date of
Implementation
Version
Number
2/2