Download Mathematics, physics and engineering and HIV/AIDS: integration

United Nations
Educational. Scientific and
Cultural Organization
.
.
.
Organisation
des Nations Unies
pour I'education,
la science et la culture
•
.
•
AWSE
African Women
in Science and Engineering
ENGINEERING, MATHEMATICS, PHYSICS
&
HIVand AIDS
Integrated Module (Uganda)
·~
AWS.
Afncan Women
in Science and Engmeenng
MATHEMATICS, PHYSICS AND
ENGINEERING
AND
HIV/AIDS
INTEGRATION MODULES (UGANDA)
Project Implementation Team:Mrs. Alice Ochanda - UNESCO
Prof. Mabel Imbuga - AWSE/JKUAT
Prof. Caroline Lang'at-Thomwa - AWSE/KU
. Prof. Victoria Ngumi - A\VSE/JKUAT
Or: Ethel Monda ~ AWSE/KU
Ms. Mary MWlingi - AWSE/KU
Prof. Xiaohua Xia - University of Pretoria
Preamble
Given the dire situation of HIVI AIDS pandemic in the resource strained countries (sub-Sahara Africa), and the fact that students generally fall into a high-risk
group, within the context ofUNESCO 's prevention Education Programme under
Major Programme 2 and the Organization's contribution to the achievement of
the Millennium Development Goals, a workshop on "Higher Education Science
and Curriculum Reform: African Universities Responding to HIV/AIDS" was
jointly organized by UNESCO's Regional Bureau for Science in Nairobi and
African Women in Science and Engineering (AWSE), during 11-13 April 2006.
The main purpose of the workshop was to share information and learn from the
experiences from different African universities in view of addressing the need
for the universities to respond to the impact of HIVIAIDS through curriculum
reforms. The three-day workshop brought together Deans of Faculties of Science and Engineering and coordinators of AIDS Control Units (ACU) from 22
African universities. Participating countries included Botswana, Eritrea, Ghana,
Kenya and Rwanda. A follow-up in-country Training Workshop, first in Ghana
in 2006, and three more such in-country Training Workshops were organized
by UNESCO/AWSE, in Rwanda, 28 - 30 March 2007, in Botswana, 17 - 19
April 2007 and Kenya, 08 - 10 May 2007, respectively, on Mainstreaming of
HIVI AIDS for Physical, Biological and Engineering Sciences. At the request
of the Uganda AIDS Commission, an additional workshop was organized by
UNESCO/AWSE, at the Speke Resort Munyonyo, Kampala, Uganda, 25-27
November 2009. The aim is to train lecturers from Universities as trainers on
how to Mainstream HIV/AIDS into the Engineering and Science Courses within their respective universities.
This report is an output of the UNESCO/AWSE in-country Training Workshop on Mainstreaming of HIV/AIDS for Physical, Biological and Engineering Sciences in Uganda. It summarizes the identification of modules in mathematics, physics and engineering and the potential entry points for integrating
HIVI AIDS materials. This is a consolidated result from inputs from participants
from the five participating universities Uganda and is based on their curricula
in the teaching of mathematics, physics and engineering. The five universities
are: Gulu University, Kyambogo University, Mbarara University of Science and
Technology, Makerere University and Aga Khan University.
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These sample modules have been developed from the existing modules
in selected areas of mathematical, physics and engineering. The content of the current teaching units remains the same but there is HIV and
AIDS education and HIV related examples. In the following description
of the sample modules, entry points are identified and marked in red,
and how these entry points can be integrated with HIV related issues
which are marked blue and put in brackets immediately following the
corresponding entry points identified. Each teaching unit should be covered in exactly the same time frame as before. The focus of the unit remains also the same. It is anticipated that in the course the student will
not only learn the basic materials in mathematics, physics and engineering as prescribed but will also be impacted with some HIV and AIDS
knowledge that could influence, the perception, behavioral change,
demystification and contribute in the fight against HIV and AIDS in the
universities and the communities at large, as additional expected outcomes of the courses.
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ACKNOWLEDGEMENT
This integrated course module has benefited from the input of lecturers from the
following Institutions of Higher Education: Gulu University, Kyambogo
University, Mbarara University of Science and Technology, Makerere University and Aga Khan University and is based on their curricula in the teaching of
mathematics, physics and engineering. The training workshop was facilitated by
Prof. Xiaohua Xia - University of Pretoria. Prof. Xia also compiled all the information from the different course outlines to come up with this country specific
integration module for Uganda.
Technical and editorial inputs were also received from Mrs. Alice Ochanda of
UNESCO Nairobi Office, Prof. Mabel Imbuga and Mrs. Mary Mwangi of
African Women in Science and Engineering (AWSE).
Profound gratitude and further acknowledgement is expressed to UNAIDS who
made the work possible through the UBW funds.
Special thanks to Monica Gammimba of AWSE for assistance in final formatting of the module.
DESIGN AND LAYOUT BY DESIGNER PRINT
Email: [email protected]
IV
Mathematics
Course Code:
Course Title:
Year of Study:
Course Credit:
MTH1102
CALCULUS
ONE
3
University: Mbarara University 0/ Science and Technology
Course Description/Contents
Introduction to sequences and their limits, Functions and mappings, Limits of
functions and continuity, Differentiation: definition of derivatives, continuity
and differentiability; Rules of differentiation, maxima and minima and applications to curve sketching. trigonometrical, exponential, hyperbolic functions and
their inverses; Identities and derivatives, Functions of two variables, Partial differentiation; Total differentiation.
Identified Entry Points
• Definition 0/ a derivative (The differences between the rate ofHIV infection
in a population and the prevalence rate in the population. Developing their
respective differential equations for clarification.)
• Exponential/unctions (HIV exponential growth in the body and decay ofthe
virus in the body growth is seen in cases where ARV treatment has stopped.
Explanations ofconcepts such as viral load can be given. )
Course Code:
Course Title:
Year of Study:
Course Credit:
MTH 1103
ELEMENTS OF PROBABILITY AND STATISTICS
ONE
3
University: Mbarara University ofScience and Technology
Course Description/Contents
Definition of probability function, conditional probability. Independent and mutually exclusive events. Usage of results in combinatorial theory in determining
probabilities of events. Random variable (discrete and continuous), the Distribution function, mean and variance.
1
Common distributions: Geometric; hyperbolic; Biomail; Poisson, Rectangular,
Exponential, Normal, t-distribution, Chi-square and F-distributions. Sampling,
randomness, bias, type I and type 2 errors. Level of significance, confidence
levels, sample sizes and tests and tests if significance for means, difference of
means, variance and ratio of variance for large samples.
Entry points
• A poisson distribution (the distribution of a given antelope species in
different game reserves can be described as a poisson distribution, and
related example can be given ofnumber ofHIV infected students in different
classes at a university. )
• Measures ofcentrality and variability (HIV Data is provided to the students
and they are asked to summarise it using descriptive statistics measures. )
• Difference of means (Data on CD4 counts from two different groups of
patients using mono therapy treatment and cocktail therapy.)
Course Code:
Course Title:
Year of Study:
Course Credit:
MTH2208
NUMERICAL ANALYSIS
TWO
3
University: Mbarara University of Science and Technology and Gulu University
Course Description/Contents
The course gives an introduction to numerical methods in common use for solving mathematically formulated problems. Good organisation of the computational processes to be done by a computer will be emphasized. Sources of errors
and propagation of errors, Error analysis, solution of equations, approximation
of functions, interpolation, numerical integration and differentiation, numerical solution of differential equations. Development of simple programs will be
done in a high-level programming language. The course will start with a short
introduction to a high-level programming language to be used in the course
2
Entry Points
• Sources of errors and Propagation of errors (Counting and measurements
ofHIVIAIDS indicators in various blood samples and their propagation as a
result ofaddition, subtraction, multiplication and division. )
• Interpolation and Approximation (TB and HIVIAIDS data from different
regions can be used through interpolation techniques to approximate HIV
prevalence in regions where TB prevalence is known. )
Course Code:
Course Title:
Year of Study:
Course Credit:
MTH2205
LINEAR PROGRAMMING
TWO
3
University: Mbarara University ofScience and Technology and Gulu Univerisity
Course Description/Contents
The general Linear Programming (LP) problem. The Algebra and Geometry of
LP models. Geometric Solutions of LP problems. Basic and optimal solutions to
a LP problem. The constraint set as a convex polytope. The connection between
extreme points of a constraint set and the basic solution.
The simplex method. The derivation of the conditions for existence and optimality of a solution. The initial basic solution, the big-M penalty method and
the Dual Simplex method. The two phase simplex method, the dual problems,
properties of duality.
The mutual Primal-Dual Simplex method Algorithm. Post optimality analysis:
investigation of how changes in the objective function and the constraints of a
LP problem would affect the current optimal solution.
Entry Points
•
The general linear programming problem (Maximising the patients' live
subject to accessibility ofARVs, appropriate Nutrition etc.)
• Interpolation and Approximation (TB and HIVIAIDS data from different
regions can be used through interpolation techniques to approximate HIV
prevalence in regions where TB prevalence is known. )
3
Course Code:
Course Title:
Year of Study:
Course Credit:
MTH3207
BIO MATHEMATICS
THREE
3
University: Mbarara University ofScience and Technology
Cou rse Descri ption/Contents
Population models: deterministic and stochastic approaches to the birth and
death process. Multi-phase population (e.g age dependent). Density dependent
population growth.
Dynamics of interacting species: the competition, the pre-predator and the
host parasite models.
Simple and general epidemics: deterministic and stochastic considerations
Entry Points
• Population Models (Description of birth and death processes. The disease
factor and example ofHIVIAIDS is given.)
• Simple and general epidemics (HIVIAIDS. H1Nl flue etc are taken as
examples. )
Course Code:
Course Title:
Year of Study:
Course Credit:
MTH3104
STATISTICAL INFERENCE
THREE
3
University: Mbarara University ofScience and Technology
Course Description/Contents
Some sampling techniques: simple random sampling, stratified random sampling and Monte Carlo sampling (from normal or any population)
Point estimation: parameters; method of moments; maximum likelihood estimation.
Properties of estimators: unbiasedness, consistency, efficiency and sufficiency.
Interval estimation: hypothesis testing, the power of a test, best test abs the
Neyman-Pearson Lemma. Chi-Square tests for independence, goodness Fit, ho-
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mogeneity. Contingency tables. Correlation and regression analysis. Analysis of
variance. Some Non-Parametric tests: the sign test. The Wilcoxon Signed rank
test, The Mann-Whitney U Test. The Komogorow Smimov Test
Entry Points
• Sampling techniques (Sampling the HIV patients from the University
Population for HIV vaccine trials.)
• Correlation and Regression Analysis (Correlation between HIVprevalence
and poverty.)
• Interval estimation (Computation ofconfidence intervals on HIV data.)
5
Physics
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY 1101
PHYSICS PRACTICALS
ONE
3
Gulu University and Mharara University ofScience and Technology
Course Description/Contents
Errors in linear (Emphasis on strength and ductibility of latex) and Electrical
measurements, (Error analysis in measurements)
Electrostatic fields
Electromagnetic forces
Electromagnetic induction
Mechanical waves
Optical spectrometer
Semiconductor devices
Vacuum electronic devices
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY 1102
MATHEMATICAL PHYSICS
ONE
3
Gulu University and Mharara University ofScience and Technology
Cou rse Descri ption/Contents
Introduction to vector calculus: Scalar and Vector quantities; Addition and
Subtraction of Vectors; Scalar and Vector Operations; Unit Vectors; Coplanar
and non-Coplanar vectors.
Scalar and Vector Products: The Dot product; The cosine rule; The equation
of a plane; The cross product; The sine rule; The Triple vector product.
Differentiation and Integration of Vectors: Differentiability and continuity;
Partial Differentiation; Differentiation from 1st Principles; The gradient operator; The divergence of a vector; The Curl of a vector; Integration of single variable Functions; Definite and indefinite integrals; Line integrals; Gauss' divergence theorem, Stokes' theorem.
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Complex Variables: Exponential and circular Functions; Demoivres' Theorem; Solutions to equations; Differentiation and integration of complex numbers; The Cauchy-Riemann equation.
Hyperbolic Functions: Differentiation and integration of hyperbolic functions;
Expansion of hyperbolic functions.
Differential equations: First and second order differential equations; Separation of variables; Integrating factors; Linear first order differential equations; (Examples on modeling the infection and control, drugs and immune
system),Homogeneous second order differential equations with constant coefficients, Non-homogeneous Linear Equations; Forced oscillations.
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY 1103
PROPERTIES OF MATTER, HEAT AND THERMODYNAMICS
ONE
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Energy and forces between atoms and molecules (effect of petroleum products
atoms on Latex atoms)
Liquids: Surface Tension, Capillarity, Adhesion and Cohesion (illustrations on
HIV transmission modes, emphasis on sexuality)
Solids: Strength properties and elastic deformation (Strength properties, elastic
and plastic deformation of latex- the best elastic properties materials for condoms, points of yielding ,porosity necking and breaking points), ductile and
brittle solids; Stress, strain, moduli; The cantilever; Waves along an elastic bar;
Thermal properties (of Latex) - Gruneisen's law, heat flow along a uniform
bar.
Flow of liquids: Bemoulli's equation, Velocity of flow and pressure, Liquidvapor interface, Viscosity - Eyring's equation.
Transport phenomena in gases: Elements of kinetic theory; viscosity, thermal
conductivity and self-diffusion.
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Temperature: Thennodynamic equilibrium, concept of temperature, temperature scales, concept of heat, absolute zero.
The laws of the thermodynamics: The zeroth law (equilibrium equivalence:
relations to sexual network); the first and second laws ofthennodynamics; clausius and Kelin; statements of the second law.
Thermodynamic changes: Reversible and irreversible changes (Hiv infection
process); the Camot cycle; Clausius' inequality and entropy; heat engines.
Thermodynamic relations: Specific heats; equation of state; Maxwell's relations; examples - liquid film, Cp-Cv.
Maxwell's distribution of velocities: Mean speed and mean kinetic velocities
energy equipartition theorem treated simply.
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY 1206
ATOMIC PHYSICS
ONE
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Electromagnetic radiation: Lamor oscillator; Scattering of light by atoms;
Black body radiation; Plank's quantisation of black body radiation.
The Atom: Bohr model of the atom - spectra of the hydrogen atom; Successes
and failures of the Bohr model.
Quantum effects: The photoelectric effect; Compton effect; Characteristic Xray spectra; Mosley's law; absorption of X-rays.
Nuclear structure: Rutherford's model and -particle scattering; Nuclear binding energy. Radioactive decays; The law of radioactive decay (half life Viiral
halflife, Viral decay patterns after introduction ofARVs); Radioactive series
Nuclear energy-fission and fusion
Wave mechanics: Wave function and probability amplitude; Schrodinger's
equation for a free particle and for a particle in box - energy eigen values and
eigen functions; Introduction to elementary particles.
8
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY2104
CLASSICAL MECHANICS 11
TWO
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Line, surface and volume integrals, curvilinear coordinates: Transformations; gradient; divergence curl; operator identities; theorems of gauss, Green
and Stokes (in rectangular; spherical and cylindrical co-ordinates).
Simple partial differential equations: Laplace's equation; the equations wave
equation.
Waves and wave motion: Galilean formulation; waves on strings; particles;
waves in fluids; he general wave equation; solution of the wave equation.
Boundary conditions; Fourier series; waves in a rectangular box; superposition
and interference of waves; wave packets; phase and group velocities; de Broglie
waves; energy density and intensity.
Special relativity: Lorentz transformation matrix, space and time four vectors;
force and energy in relativistic mechanics.
The Lagrangian and Hamiltonian: Generalized coordinates; Lagrangianformulation and applications; Hamiltonian and applications to simple problems
including central orbits and small oscillations; canonical coordinates and applications. (Success of HIV infection depends on several parameters such as:
immunity of Host, Viral load of Donor,CD4 count, ABC conformity, etc, these
could be looked at as degrees offreedom)
Moving coordinate systems: Non-inertial frames; rotating coordinate systems;
velocity, acceleration, Coriolis and centripetal forces. systems of particles' center of mass motion relative to the center of mass, central forces and application
to gravitation.
Rigid bodies: Kinetic energy and angular momentum about a fixed axis; equation of motion and conservation laws.
Rotating frames of reference (Cartesian and spherical): Inertia tensor, Euler's equation of motion; spin and precession-the top and rotations and the gyroscope.
9
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY2106
ENVIRONMENTAL PHYSICS
TWO
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Production, processing and transport of resources and services.
Energy exploitation: Hydroelectric, Solar energy, biomass, Nuclear energy,
fossil energy, chemical energy and other renewable energy sources.
Climatic changes: Weather and climate elements, local seasons and atmospheric
effects, energy balance, global warming, air motion, satellite meteorology.
Pollution: solid and fluid pollutants, basic acoustics and noise, transport of
pollutants. Interactions of electromagnetic fields and nuclear radiations with
matter. (negative effects to immunity-relation to HIV infection.) (Green house
effect-conducive temperature for opportunistic infections such as malaria, TB.
Meningitis. cholera, etc)
Radiation and radioactivity: Radioactive sources, radiation monitoring and
safety, radioactive pollution. Nuclear detection techniques and devices.
Environmental policy: hazards and risks with technology, mitigation ofglobal
warming, Damping ofdomestic and industrial waste, laws, agreements and conventions governing environmental degradation. (Need to Develop HIV policy,
Disposal ofHIV related waste).
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY3103
SOLID STATE PHYSICS 11
THREE
3
Gulu University and Mbarara University ofScience and Technology
Cou rse Descri ption/Contents
The free electron theory of metals: The electron gas; the Fermi energy; the
Fermi surface and momentum; the electronic specific heat; electrical and ther-
10
mal conductivity of metals - the Wiedeman - Franz relation; Matthiessen's rule
motion of conduction electrons in a magnetic field - cyclotron frequency; static
magneto-conductivity; hall effect; dielectric response of an electron gas.
Introduction to the band theory of solids: Semi quantitative discussion of the
origin of energy bands; metals, insulators and semiconductors; electrons and
holes - concept of effective mass; cyclotron resonance.
Application of the band theory to semiconductors: Intrinsic semi conductors
- nobilities; Fermi level and energy gap relations; electrical conductivity of
intrinsic semiconductors. Extrinsic semiconductors - nand p types, position of
Fermi level, carrier concentration; the Hall effect and applications.
Magnetic properties ofsolids treated simply: Diamagnetism and Paramagnetism; nuclear demagnetization; brieftreatment ofNMR (Detection and treatment
ofHIV related Malignant tumors using perturbation theory and MR Spectroscopy) and ESR, Measurement of magnetic susceptibility. ferromagnetism and
anti-ferromagnetism - ferromagnetic order; curie point; temperature dependence
of magnetization; brief treatment of domains and hysteresis; anti-ferromagnetic
order; susceptibility below the Nee'l temperature.
Ferrimagnetic order. Curie temperature and susceptibility of ferrimagnets; applications of ferrites; recorder reader heads; memory devices (magnetic tapes
and discs)
Introduction to superconductivity: Meaning of superconductivity; an experimental survey +*/ofproperties of superconductors - the meissner effect (type 1
and II superconductors), heat capacity, energy gap; high Tc - superconductors
treated briefly.
Brief treatment of application of superconductivity.
11
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY3104
SIMULATION PHYSICS
THREE
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Solving of system oflinear algebraic equations: Interpolation and extrapolation, Integration algorithms, special jUnctions, square root algorithms, optimization. (emphasis on Linear and Non linear programmingproblems to maximize
and minimize HIV related Data) limit value and eigenvalue problems, Fourier
transformation, normal and partial differential equations, Monte Carlo methods,
Applications of modeling in Physics.
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY3106
QUANTUM MECHANICS 11
THREE
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Approximation methods: Variational principle; time - independent and time
- dependent perturbation theory; the Born approximation and its applications;
partial wave analysis. Further solutions to Schrodinger's equation; hydrogen
and hydrogen - like atoms; the deuteron.
Vector addition of angular momenta: Symmetry of state functions for twoelectron atoms. Further discussion of the Pauli exclusion principle.
12
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY3205
RESEARCH PROJECT
THREE
3
Gulu University and Mbarara University ofScience and Technology
Cou rse Descri ption/Contents
Major Objective: To introduce students to research methods and report writmg.
Course outline: workshop writing, proposal writing, Implementation of project
work, oral presentation of reports (15 minutes) (emphasis can be put on HIV
related Data.)
Requirements: Field work allowance, Computer facilities and stationary.
Production of reports: Four copies of well typed and spiral bound reports.
Course Code:
Course Title:
Year of Study:
Course Credit:
PHY3308
ELECTRONICS AND INSTRUMENTATION
THREE
3
Gulu University and Mbarara University ofScience and Technology
Course Description/Contents
Transducers: Photodetectors, light emitting displays. Mechanical detectors.
thermoelectric transducers. (HIV virus bDNA tests)
Transmiters and receivers: siginal generators and detectors, transmission,
modulation and demodulation, radio receiver.
Examples of measuring instruments: the multimeter, the oscilloscopes, pressure gauges.
Examples of regulators: thermostats, automatic switching, remote control.
13
Engineering
Course Code:
Course Title:
Year of Study:
Course Credit:
ENG 111
COMMUNICATION SKILLS AND HUMANITIES
FOR ENGINEERS
ONE
3CU
Kyamhogo University and Makerere University
Course Description/Contents
The course introduces students to Communication Skills and Humanities so as
to equip them with Skills in Communication, Knowledge about their Environment and Socio-political and Economic issues.
Communication Skills
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Fundamental skills
Reading
Listening (HIV-AIDS counselling)
Note taking
Note making
Speaking
Interaction skills (HIV-AIDS counselling)
Work place (HIV-AIDS counselling)
Conducting of meetings
Writing and Reporting Skills
• Academic Writing
• Technical and scientific report writing: the report structure and format: types
ofreport, the language ofreport writing (grammatical and punctuation rules),
report formats
• Oral presentation oftechnical reports: effective public speaking, techniques of
oral presentation, the language of oral presentations. Seminar and workshop
presentations
• Curriculum Vitae writing
• Office and business writing
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• Inter-office and intra office communication
• Business correspondences
• Memo and letter writing
Work Environment
• Labour relations (HIV-AIDS support)
• Labour laws (HIV-AIDS patients' rights)
• Operational health and safety in engineering practice (Nutrition, safe habits)
Social Studies
• Social Structures (Cultural norms like widow inheritance, female genital
mutilation, right to protect against infection)
• Gender issues (Cultural norms like widow inheritance, female genital
mutilation, right to protect against infection, right to decide on sex matters)
• Population Trends (Widows and orphans)
• Human Rights (Cultural norms like widow inheritance, female genital
mutilation, right to protect against infection)
Civic Education
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Organisation involvement in National Development (HIV-AIDS and
development)
Governments: forms of government, arms of government (Government
support to HIV-AIDS programmes)
NGOs (HIV-AIDS outreach support programmes to families)
Civil Society organisation (HIV-AIDS outreach support programmes to
families and awareness)
Association
Trade Unions
Leadership Skills (Leadership in the fight against HIV-AIDS)
15
Course Code
Course Title:
Year of Study:
Course Credit:
EM 121
ENGINEERING MATHEMATICS 11
ONE
4CU
Kyambogo University and Makerere University
Course Description/Contents
• Introduces methods of Integration and multiple integrals.
Solving first and second order Ordinary Differential Equations.
• Examining limits of various types of sequences.
• Tests for convergence of infinite series.
• Differentiation and integration of vector functions.
• Introduction to Probability theory.
• Integral Calculus: definite integrals, indefinite integrals, methods of
integration, double integrals, multiple integrals, application of integration.
• Ordinary Differential Equations: definitions, equations offirst order and
degree, second order equations with constant coefficients, applications of
differential equations. Methods of solving differential equations (HIV-AIDS
relatedfirst order differential equations)
• Sequences and Series: sequences, series, arithmetic and geometric series,
methods of summation of finite series, convergence principle for series,
monotone real sequences, Liebniz test for real series, tests for convergence
and divergence of series, the binomial series, partial fractions and the
binomial expansion, exponential and related series (Decay and exponential
functions relating to the HIV-AIDS virus), the logarithmic series, power
series, Taylor series, uniform convergences, Laurent series, analyticity at
infinity, zeros and singularities, Maclaurin series, binomial theorem, Fourier
series; average value Fourier coefficients, complex form, even and odd
functions, applications.
• Vector Calculus: vector functions, derivatives of vector functions,
divergence and curl of a vector function, line and surface integrals, triple
integrals, Stoke's theorem, the divergence (Green's or gauss's) theorem.
• Probability Theory: introduction, conditional probability, partitions, total
probability, mathematical expectation, probability and moment generating
functions, random variables, discrete and continuous distributions, common
distributions: Binomial, Poisson. normal, exponential, variance and
16
correlation (Number ofpeople likely to be infected, number ofpeople likely to
access support services)
Course Code:
Course Title:
Year of Study:
Course Credit:
TCE 126
WORKSHOP PRACTICE
ONE
SCU
Kyambogo University and Makerere University
Course Description/Contents
• Exposes students to the basic skills of workshop technology related to civil
and building engineering works.
• Enables students to appreciate and skilfully use the workshop tools and
equipment.
• Imparts skills in the main aspects of brickwork, concrete practice, carpentry
and joinery, setting up and construction of buildings.
Carpentry and Joinery
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Woodwork
Hand and machine operations
Measuring and marking out
Wood cutting, shaping, drilling and assembling
Wood joints
Joining by gluing, planning, nailing, screwing
Finishing and preserving
Safety precautions (Protection against infection)
Building Construction
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Levelling and setting out of buildings on different types of terrain
Excavations for different types of foundations
Timbering to excavations, other protection measures
Preparation of reinforcement
Assembling formwork for columns, beams and other elements
Preparation of concrete
Placement of concrete in foundation excavations, cQlumns and beams
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Construction of the plinth wall
Construction of floor slab
Stripping temporary works
Wall construction in brickwork, blockwork and stonework
Roof construction
Finishes
Safety precautions (Protection against irifection)
Electrical Technology
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Electrical engineering
Technology of domestic and industrial machine installations
Use of tools and instruments
Mounting and installing of electrical circuits
Circuit checking and fault finding
Safety regulations (Protection against infection)
Metal Fabrication
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Materials and processes
Tools, machines and their uses
Oxygen cutting
Gas and arc welding
Safety precautions (Protection against irifection)
Course Code:
Course Title:
Year of Study:
Course Credit:
EM 211
ENGINEERING MATHEMATICS III
TWO
4CU
Kyambogo University and Makerere University
Course Description/Contents
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Introduces use of Numerical Analysis in Engineering problems
Examines limits of functions of several variables
Introduces Fourier and Laplace transforms
Solving Partial Differential Equations of 1st and 2nd order
18
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Examine various sampling methods
Examine various tests: hypothesis, Chi-square, correlation, regression
Introduce Special functions like Gamma, Beta, Bessel, Legendre, Elliptic
NumericalAnalysis: iterative methods. solution ofequations by iteration.finite
differences. interpolation. numerical differentiation. numerical integration,
numerical solution of differential equations (HIV-AIDS related first order
differential equations)
Integral Transforms: Fourier transforms; Laplace transforms; definitions,
theorems, the inverse Laplace transform, unit step functions, periodic
functions, the Dirac Delta Function, Green's functions, application of
transforms to solving differential equations, other applications.
RealAnalysis: limits offunctions, continuity and differentiability, mean value
theorem, integrability, the fundamental theorem of calculus, differentiation
and repeated integral.
Partial Differential Equations: exact first order linear equations, solution
of first and second order equations by separation of variables, applications to
wave equation, heat equation, diffusion equation, Laplace's equation.
Statistics: representation of data, frequency distributions. histograms.
frequency polygon, measures of central tendency (mean. mode, median),
sampling techniques. point estimation, properties of estimators, interval
estimation. hypothesis testing. chi-square, contingency tables, correlation and
regression tests (Number ofpeople likely to be irifected, number of people
likely to access support services)
Course Code and Name:
Course Title:
Year of Study:
Course Credit:
TCE 322
WATER SUPPLY ENGINEERING
THREE
3CU
Kyambogo University and Makerere University
Course Description/Contents
• Covers conventional and point water supply systems and water transport
• Covers theory water analysis and conventional water treatment plus the
application of WHO and Uganda drinking water guidelines.
• Water supply systems.
• Water transportation and distribution.
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Water quality parameters, analysis and application of water analysis. Risk
assessment, water protection (Opportunistic infection and nutrition)
Water treatment: Unit processes of aeration, sedimentation, filtration,
chlorination (Opportunistic injection and nutrition and HIV-AIDS treatment)
Uganda drinking water Guidelines, WHO and NEMA standards. Comparison
with EU standards and/or a selected region (Living a safe, non-risky life)
• Environmental quality management (Keeping healthy andproductive)
• Efficient use of water
Course Code and Name:
Course Title:
Year of Study:
Course Credit:
TCE 324
BUILDING SERVICES
THREE
4CU
Kyambogo University and Makerere University
Course Description/Contents
The course introduces and examines requirements for building services and
methods of installing them.
Electrical Installation
•
•
•
•
Brief Outline of Electricity Generation. Electrical Terms and Definitions.
Power Distribution and Voltages.
Electric Cables.
Electrical Power Supply to Domestic, Industrial and Commercial Installation,
Work Sites and Other Public Buildings.
• Power Supply to Special Installations such as Chemical Stores, Livestock
Buildings and Arenas.
• Circuit Layouts and Installation in Different Elements of a Structure.
Accessories For Domestic and Industrial Use. Illumination. Bell Circuits.
Supply Tariffs. Testing of Completed Installations. Electrical Drawings.
Plumbing
• Plumbing Tools and Equipment
• Safety Precautions (Protection against infection)
• Drills. Bending Machines. Oxy-Acetylene Welding Equipment.
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• Threading of Pipes. Mild Steel Fittings.
• Bending Pipes and Tubes. Joining Tubes. Copper, Steel and Plastic Pipes
Used for Commercial Gas, Cold and Hot Water, Waste Flush and Warming
Pipes. Commercial Strengths of Pipes. Sizes of Pipes for Different Uses.
Water Supply
• Methods of Distribution.
• Connection of Supply from the Water Mains.
• Cold Water Storage and Distribution Systems to Various Types of
Buildings.
• Supplies to Buildings Above the Level ofthe Mains Head. Hot Water Supply
Systems to Domestic Buildings.
• Taps and Valves For Domestic Hot and Cold Water Systems and Methods of
Fixing Them.
• Cold and Hot Water Pipe Work:
• Materials and Sizes.
• Cold and Hot Water Storage Cisterns. Hard and Soft Water.
• Noise in Pipes and Taps. Rain Water.
• Harvesting and Storage for Domestic Use.
Drainage and Sanitation
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•
•
•
•
•
•
Above-Ground Drainage.
Roof Drainage.
Underground Drains.
Drains Passing Into and Under Buildings
Sanitary Appliances.
Common Materials for Sanitary Appliances.
Various Types and Methods offixing Sinks. Baths. Lavatory Basins. Traps and
their Water Seals. W c.s and Methods of Fixing Them, Flush Pipes to WC
Pan. Automatic Flashing Cisterns. Ventilation ofWC.s (Misconception about
methods oftransmission)
Sewage and Waste Water Disposal (Condom and HIV-AIDS related waste
disposal)
• Disposal Scheme. Construction
• Details ofCesspools and Soakaways,
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• Manholes/Inspection Chambers. Septic Tanks, Lagoons.
• Legal Considerations.
Air Conditioning
• Introduction to Air Conditioning, Air Conditioning Units and Systems,
Installation and Maintenance. Heating and Cooling Systems: Space Heating
and Cooling, Ventilation Standards and Practices, Refrigeration Plant and
Installation.
Other Services
•
•
•
•
•
Telephone Services.
Gas Installations
Noise Consideration.
Installation of Lifts and Escalators.
Fire Prevention Systems.
Special Services.
Course Code and Name: TCE 415
ENVIRONMENTAL
Course Title:
MANAGEMENT
FOUR
Year of Study:
Course Credit:
3CU
ENGINEERING
AND
Kyambogo University and Makerere University
Course Description/Contents
This course deals with environmental systems, pollution, and its control, environmentallaws and management strategies
•
•
•
•
•
•
Introduction to Environmental processes and Engineering
Climate change, adaptation and mitigation
Ecosystems in the environment
Air Pollution
Water quality andpollution (Irifected bodyfluids)
Environmental quality management
Waste management (Condom and HIV-AIDS related waste disposal)
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•
•
•
•
Noise Pollution
Land use and control of soil pollution
Wetlands use and management
Environmental legislation. policy and institutional framework (Policy and
legislation related to HIV-AIDS)
• Environmental impact Assessment and monitoring development project
• Environmental audit of projects
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List of Participants
Gulu University
Consultant
1.
2.
3.
4.
18. Prof. Xiaohua Xia
Mr. Opika Opoka Hector
Mr. Daniel NKwata Katongo1e
Prof. Elizabeth Opiyo
Mr. Geofrey Tabo 010k
Makerere University
5. Dr. Stephen Mukiibi
6. Dr. Vincent A. Ssembatya
Mbarara University of Science &
Technology
7. Mr. Emmanuel Ntambi
8. Mr. Simon K. Anguma
9. Mr. Kenneth Kwikiriza
Katuramu
Kyambogo University
10.
11.
12.
13.
14.
Dr. Robinah Dumba
Dr. Rosemary Nabadda
Mr. Aaron Wanyama
Mr. Ben Bosco Buga
Mr. Moses N. Twesigye-omwe
University of Pretoria
19. Prof. Zipporah Ng'ang'a
Jomo Kenyatta University of
Agriculture and Tech.
20. Prof. Michae1 KeUy Jesuites
Guest
21.Dr. Sau1 Onyango
Uganda AIDS Commission
UNESCO
22.
Mrs. A1ice A. Ochanda
AWSE
23. Prof. Caro1ine Lang'at-Thoruwa
24. Mrs. Mary Mwangi
25. Mrs. Monica Gammimba
Aga Khan University
15. Ms. Samina Vertejee
16. Mrs. Mercy Muwema Mwanja
17. Mrs. Anne Muli
24
@
AWSE
United Nations
Educational, Scientific and
CulturalOrganlzat1on
Organisation
des Nations UnJes
pour I'education,
la science et la culture
~trs:::a::Engln_;"9
African Women in Science and Engineering
United Nations Avenue, ICRAF House
PO. Box 30677-00100
Nairobi, Kenya
lel. 254·20· 7224750 or 7224000 Ex!. 4750
Fax. 254·20· 7224001
E-mail: [email protected]