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# Mathematics for Electrical Engineers I by syi52137

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```									   Mathematics for Electrical
Engineers I

Introduction

ECNG 1016

Focus of the course
The entire course is on the Laplace Transform
and its applications
You would have already met it in ECNG1000
• For you it is revision!
Here we will review this and consider it properly
in the context of electrical engineering.

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Course Description
ECNG 1016 introduces students to the theory
and application of the Laplace Transform.
The Laplace transform is an essential
mathematical tool of an electrical engineer
• used for analyzing certain systems of differential
equations

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Course Description
Laplace transforms are used extensively in
ECNG 2011 Signals and Systems to model
linear systems.
Students are therefore required to pass
ECNG 1016 before they can attempt ECNG
2011.

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2
Aims
The aims of ECNG 1016 are:
To introduce students the Laplace transforms
and its properties
To introduce students to the application of the
Laplace Transform in solving ordinary differential
equations.

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Topics
Review of Partial Fractions
Introduction and Definition of the Laplace
transform
Worked examples calculating the Laplace
transform
Properties of the Laplace transform
Laplace Transform of sine, cosine, and other
examples using the properties

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3
Topics
Laplace transform of derivatives;
Solving differential equations using the Laplace
transform
Discontinuous and impulsive signals: The unit
step function and the impulse function
Putting it all together. Practical Applications
from Electrical Engineering

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Schedule
One (1) lecture hour per week
One (1) tutorial per week
• 12 to 1 pm on some weekday
• Conducted by Mr Shane Ramsahai
Your own personal study time per week
Office hours
• Will be posted on my door

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4
Assessment
Two examinations
• Coursework exam
• Week of 15th March
• Final exam
Each 50% weighting
Each 2-hours long

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Resources
Textbook:
• Greenberg, Michael D. 1998.   Advanced
Engineering Mathematics (2nd edition).
•   Any engineering mathematics book
Slides and handouts
• Lecturer website
Problem sets and solutions
• Lecturer website

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