Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Problem 1
An urban catchment is drained by a separate foul sewer network and has an area of 500ha and a
population density of 75hd/ha. At the outfall of this catchment, calculate:
a. the average dry weather flow (in l/s) assuming water consumption is 160

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE
UNIVERSITY
SCHOOL OF ENGINEERING
CIVIL AND ENVIRONMENTAL ENGINEERING
WATER RESOURCE ENGINEERING II
NAME
REG. NO.
JJOMBWE RONALD
07/u/8125/PS
TUMWESIGE MICHAEL
07/U/15594/PSA
BAZAALE RONALD
07/U/7384/PSA
SENYONJO SOLOMON
03/U/4242/PSA
BUSOBOZI NOR

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE
UNIVERSITY
SCHOOL OF ENGINEERING
CIVIL AND ENVIRONMENTAL ENGINEERING
WATER RESOURCE ENGINEERING II
Assignment No.6
NAME
REG. NO.
JJOMBWE RONALD
07/u/8125/PS
TUMWESIGE MICHAEL
07/U/15594/PSA
BAZAALE RONALD
07/U/7384/PSA
SENYONJO SOLOMON
03/U/4242/

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

COLLEGE OF ENGINEERING, DESIGN, ART AND
TECHNOLOGY.
SCHOOL OF ENGINEERING
DEPARTMENT OF CIVIL &ENVIRONMENTAL
ENGINEERING
YEAR FOUR SEMESTER II 2010-2011
WATER RESOURCES ENGINEERING II (CIV4202)
ASSIGNMENT 3
NAME:
REGISTRATION
NUMBER
1. MATOVU Gary Cosma
0

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

INTRODUCTION
The Laplace Transformation is a powerful method for solving linear differential equations
with constant coefficients to investigate either the transient or the steady-state behaviour
of physical systems some arising in engineering mathematics

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

FACULTY OF TECHNOLOGY
DEPARTMENT OF ELECTRICAL ENGINEERING
Bachelor of Science in Engineering
Year II Semester I
2006/2007
EMT 2101: Engineering Mathematics III
Tutorial: Legendres Polynomials
2006
Legendres Equation : Concept Summary
Differential Equati

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

This is not a marking guide. It is an outline of the main points pertaining to
numbers 8-10 with emphasis on points and steps that were generally not
satisfactorily presented in the solutions handed in. It does not include certain
mathematical steps that

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Odd and Even Functions
A function f ( x) is said to be an odd function if f ( x) f ( x) . Examples include
f ( x ) x, f ( x) sin x, f ( x ) x 3 . Graphically, an odd function is symmetrical about the
origin.
f ( x) sin x
f ( x) x
x
x
f ( x) x 3
x
Examples

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

a) Level of employment
This refers to the rate at which employment prevails in an economy. A low level of
employment implies a high level of unemployment and a high level of employment
implies a low level of unemployment. The level of employment affects a

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Qn5 solution
Given:
Head at full pond level
20m
Plant efficiency
80%
Maximum allowable fluctuation of pond level
1m
7 days flow has to be used in 6 days
Average daily flow for the 7days
26 +35+40+50+ 45+ 40+30
7
=
= 38m3
Therefore average flow available f

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Determining the sample space
In this step we determine the sample and sample size to be used. There are many factors that
influence the sample size and some of them are highlighted below.
a)
b)
c)
Sample Size Criteria
Strategies for determining the sample

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

FACULTY OF TECHNOLOGY
Department of Mechanical Engineering
Bachelor of Science in Engineering
Year II (2006/2007)
Semester I
EMT 2101: Engineering Mathematics III
Lecture Set Four
Laplace Transformations
Impulse Function, Convolution, Initial and
Final va

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

FACULTY OF TECHNOLOGY
Department of Mechanical
Engineering
Bachelor of Science in Engineering
Year II (2006/2007)
Semester I
EMT 2101: Engineering Mathematics III
Lecture Set Three
Laplace Transformations
Special Cases and Heaviside Step Function
0
2006

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

In response to a specific question, people answer what identifies with them. For that matter, one will
end up with different answers. To summarize them, a number of Mathematical models can be used. For
starters, the information is summed up in a frequency

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Macro economics
It is the study of the economy as a whole. It looks at the economy as one functioning unit.
Macroeconomic analysis is necessary because:
1. There are some factors which affect the entire economy for example, inflation and
unemployment whic

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

FACULTY OF TECHNOLOGY
Department of Mechanical Engineering
Bachelor of Science in Engineering
Year II (2005/2006)
Semester I
EMT 2101: Engineering Mathematics III
Lecture Set One
Laplace Transformations
2006
Introduction
The Laplace Transformation is a p

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Chapter
2
THE FOURIER TRANSFORM
2.1
INTRODUCTION and Definitions
The Fourier Transform, especially after treatments of the theory of the Laplace transform
and the theory of Fourier series and integrals, may be introduced from two perspectives.
On one hand

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

FACULTY OF TECHNOLOGY
Department of Mechanical Engineering
Bachelor of Science in Engineering
Year II (2006/2007)
Semester I
EMT 2101: Engineering Mathematics III
Lecture Set Two
Laplace Transform of Derivates
2006
LAPLACE TRANSFORMS OF DERIVATIVES
Theor

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Fourier transform
Definitions
There are several common conventions for defining the Fourier transform of a complex-valued Lebesgue integrable function f:RC. One
common definition is:
for every real number .
When the independent variable t represents time

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Negotiation: its the back and forth communication designed to reach an agreement when you
and the other side have some interests that are shared and others that conflict.
Standard negotiation often leaves people dissatisfied, worn-out or alienated
The two

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

Unit one: FORMS OF BUSINESS OWNERSHIP
Forms of business ownership include the following
Sole proprietorships
Partnership
Limited liability companies
Corporations
Joint ventures
SOLE PROPREITORSHIP
This is one which is formed by only one person who contrib

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

GROUNDWATER
Question 1
(a) Outline briefly the essential features of a good piezometer installation.
(b) In an irrigation project, a steady application rate of 2.5 mm/hr per square meter is
used. The equilibrium water table is approximately 17.5m above th

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
Faculty of Technology
Department of Electrical Engineering
Year II Semester I 2007/2008
EMT2101 Engineering Mathematics III
Continuous Assessment Assignment (CAA) I
Due-Date: Friday 14th September 2007
Time: 17 00 Hours
Attempt all Que

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
FA C U LT Y O F T E C H N O L O G Y
Bachelor of Science in Mech/Agric Engineering
Ye a r I I 2 0 0 6 / 2 0 0 7 S e m e s t e r I C a t I I
E M 2 2 1 : E N G I N E E R I N G M AT H E M AT I C S I I I
Date:
Fr i d a y 1 2 t h , J a n u a

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
Faculty of Technology
Department of Electrical Engineering
Bachelor of Science in Electrical/Telecommunication Engineering
Year III Semester I 2007/2008 CAA II
EMT3105 Engineering Mathematics III
Due-Date: Monday 16th November 2007
Tim

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
Faculty of Technology
Department of Electrical Engineering
Bachelor of Science in Electrical Engineering
Year II Semester I 2007/2008 CAT II
EMT2101 Engineering Mathematics III
Date: Thursday 1st November 2007
Time: 14 00 -15:30 Hours

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
Faculty of Technology
Department of Electrical Engineering
Bachelor of Science in Electrical Engineering
Year II Semester I 2007/2008 CAT II
EMT2101 Engineering Mathematics III
Date: Thursday 1st November 2007
Time: 14 00 -15:30 Hours

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
Faculty of Technology
Department of Mechanical Engineering
Bachelor of Science in Mechanical/Agriculture Engineering
Year III Semester I 2007/2008 CAT II
EMT2101 Engineering Mathematics III
Date: Friday 16th November 2007
Time: 08 00 -

Jomo Kenyatta University of Agriculture and Technology

Structural Engineering

Fall 2015

MAKERERE UNIVERSITY
F a c u l t y o f Te c h n o l o g y
Department of Electrical Engineering
Bachelor of Science in Electrical Engineering
Ye a r I I S e m e s t e r I 2 0 0 7 / 2 0 0 8 C AT I I
E M T 2 1 0 1 E n g i n e e r i n g M a t h e m a ti c s I