|
School
of Mathematics, Statistics & Information Technology
Courses:
Mathematics
| Statistics | Computer Science
| Information Systems
Programmes
are offered in the above disciplines as well as the following:
Mathematics:
Applied
Mathematics:
Jump to On-line Faculty Handbook Applied Mathematics Entry
Summary of Programme:
To provide students with the opportunity to acquire:
Advanced knowledge in Modern Applied Mathematics; strong quantitative problem-solving
skills; an appreciation of the wide range of applications of modern Applied
Mathematics; skills in reporting project results both orally and by writing.
Course
Description:
SECOND
YEAR:
First
Semester
MATH215 - DISCRETE MATHEMATICS
This module is the continuation of the Discrete Mathematics section of
MATH110. The study of basic theories with applications of discrete mathematics is continued.
MATH255
- OPERATIONS RESEARCH MODELLING
To teach students to formulate real problems as mathematical models; to
interpret the solution in terms of the real world; to formulate and test
policies for managing dynamic systems; to communicate results through
report-writing.
Second
Semester
MATH232 - VECTOR CALCULUS
To give students a solid foundation in the theory and methods required
in Applied Mathematics.
MATH242
- DIFFERENTIAL EQUATIONS
To give students a solid foundation in the basic theory of differential
equations and skills in solving differential equations.
THIRD
YEAR:
First
Semester
MATH353 - DIFFERENTIAL EQUATIONS
To acquire knowledge of the underlying mathematical theory needed to analyse
dynamic systems and to acquire the skills to master the solution techniques used to solve differential
equations.
MATH361
- OPERATIONS RESEARCH METHODS
To acquire knowledge of the theory behind optimisation algorithms; to acquire the skills in sloving optimisation problems.
Second
Semester
MATH370 - OPTIMISATION (2002)
To acquire knowledge of the theory underpinning the algorithms used to
solve nonlinear programming problems and to acquire the skills to master
the computational algorithms required to solve nonlinear programming problems.
MATH371
- NUMERICAL METHODS (2003)
To give students a solid foundation in the theory and techniques of numerical
methods and skills in solving mathematical problems numerically.
AND
ONE OF:
MATH322 - NETWORKS AND GRAPH THEORY
MATH330 - COMPLEX ANALYSIS
STAT322 - STOCHASTIC PROCESSES
To expose the student to a range of application of stochastic processes
and to provide the student with the necessary techniques for recognizing
and solving problems in this area.
OTHER
REQUIREMENTS:
First year Mathematics and Second year Mathematics
Pure
Mathematics
Jump to On-line Faculty Handbook Mathematics Entry
Summary of
Programme:
In the first
two years students will have exposure to both Pure Mathematics and to
the techniques required by applied mathematicians, statisticians, computer
and other scientists. The final two years of the programme are devoted
to advanced courses in Pure Mathematics. The programme gives students
the opportunity to study in depth topics in Pure Mathematics.
COURSE
DESCRIPTION:
FIRST
YEAR:
First
Semester
MATH110 - DIFFERENTIAL CALCULUS & DISCRETE MATHEMATICS:
To introduce and develop the Differential and Integral Calculus as well
as the fundamentals of proof technique, rudimentary logic and Discrete
Mathematics.
Second
Semester
MATH120 - INTEGRAL CALCULUS & LINEAR ALGEBRA:
To develop further the Integral Calculus and to introduce elementary Linear
Algebra.
SECOND
YEAR:
First
Semester
MATH211 - INTRODUCTION TO ALGEBRA & NUMBER THEORY
This module discusses basic theories from Modern Algebra and Number Theory,
which are fundamental in various parts of Mathematics and Computer Science.
MATH213
- ADVANCED CALCULUS
This module gives a coherent treatment of basic theories and problem solving
techniques from Multivariable Calculus, which is fundamental to Mathematics
and Applied Sciences.
Second
Semester
MATH222 - INTRODUCTION TO REAL ANALYSIS
This is an introductory single module on Real Analysis. Basic topics,
which are fundamental in further real analysis and in other parts of Mathematics
are discussed.
MATH224
- LINEAR ALGEBRA
This module gives a coherent treatment of basic theories and problem solving
techniques from Linear Algebra and its applications, which are fundamental
to Mathematics and the Applied Sciences.
THIRD YEAR:
First Semester
MATH310 - REAL ANALYSIS
To introduce
and develop in a mathematically rigorous manner, the Riemann integral,
sequences and series of functions, and metric spaces.
MATH353 - DIFFERENTIAL EQUATIONS
To acquire knowledge of the underlying mathematical theory needed to analyse dynamic systems and to acquire the skills to master the solution techniques used to solve differential equations.
Second Semester
MATH340 - ALBEGRAIC STRUCTURES
This
module investigates properties of groups, rings, polynomial rings and
fields. These structures are fundamental to Modern Algebra. The module
seeks to develop an ability to handle abstract ideas. It is suitable for
every serious undergraduate mathematics student, particularly future
graduate students and secondary school teachers.
MATH322 - NETWORKS AND GRAPH THEORY
To explore proof techniques and algorithms and to acquire problem solving skills in discrete mathematics.
MATH330 - COMPLEX ANALYSIS
This module discusses basic
theories and techniques from Complex Analysis, including methods of
solving classical problems relevant to Applied Sciences.
Note: MATH310 and MATH340 are compulsory. At least two from
MATH322, MATH330 and MATH353 should be completed.
Operations
Research
Summary
of Programme:
To provide students with a broad understanding of the theory underpinning
Operations Research; necessary skills for the application of Operations
Research in industry, commerce and natural resource management; skills in
reporting projects results both orally and in writing.
Course
Description:
First
Year:
First year mathematics, first year Statistics, plus two other first year
subjects.
Second
Year:
Second year Mathematics, second year Applied Mathematics, second year
Statistics plus one other second year subject.
Third
Year:
Selection from third year Applied Mathematics (MATH351, MATH361, MATH370
(2002), MATH371 (2003), selection from third year Statistics:
STAT311
- PROBABILITY THEORY
To expose the student to a range of applications of probability theory
and to provide the student with the necessary techniques for recognizing
and solving problems in probability.
STAT322
- STOCHASTIC PROCESSES
To expose the student to a range of application of stochastic processes
and to provide the student with the necessary techniques for recognizing
and solving problems in this area.
STAT325
- STATISTICAL MODELLING FOR FINANCE
To expose the student to a range of statistical models which are used
in finance and elsewhere.
and
courses from third year Biometry
BMET314
- MULTIPLE REGRESSION ANALYSIS
To provide students in Agriculture, the Life Sciences and Statistics with
an overview of multivariate regression methods, including logistic regression.
BMET316
- MULTIVARIATE ANALYSIS
To teach students to use multivariate analysis.
Mathematical
Sciences
4 Streams:
Applied Mathematics
Computer Science
Mathematics
Statistics
This structured
programme provides an opportunity for students to acquire a broad background
in mathematical sciences comprising Applied Mathematics, Statistics, Mathematics
and Computer Science, as well as advanced skills in a least one of these.
In addition, they acquire familiarity with notation and language of mathematical
sciences and the foundation for further study in one of these.
Statistics & Biometry:
Statistics
& Biometry
Jump to On-line Faculty Handbook Statistics Entry
Jump to On-line Faculty Handbook Biometry Entry
Summary
of Programme:
The undergraduate courses offered in Statistics and Biometry consist of
both theory and applied components. Students who complete these courses
are capable of conducting statistical analysis of any data using either
Minitab or Genstat software. The modules offered at honours level are
meant to enhance students’ ability to design, analyse and interpret
statistical results in a professional manner. Our Honours’ programme
prepares students for further studies, namely M.Sc. and Ph.D. levels and
encourages them to work independently.
COURSE
DESCRIPTION:
FIRST
YEAR:
First Semester
STAT110 - INTRODUCTION TO STATISTICS
To introduce the student to basic statistical theory and methods, and
in particular to equip the student with the knowledge to apply these ideas
to statistical problem solving.
Second
Semester
STAT120 - STATISTICAL METHODS
To expand the student’s knowledge of basic statistical theory and
methods, to introduce the student to a wide range of statistical techniques
and to reinforce the student’s ability to solve statistical problems.
SECOND
YEAR:
First Semester
STAT210 - PROBABILITY THEORY
To introduce the student to the elements of probability theory.
STAT213
- SAMPLE SURVEY METHODS
To equip the student with the tools to design and effectively analyze
the results of a sample drawn from a finite population.
Second
Semester
STAT220 - STATISTICAL INFERENCE
To introduce the student to the elements of statistical inference.
THIRD
YEAR:
First Semester
STAT311 - PROBABILITY THEORY
To expose the student to a range of applications of probability theory
and to provide the student with the necessary techniques for recognizing
and solving problems in probability.
BMET314
- MULTIPLE REGRESSION ANALYSIS
To provide students in Agriculture, the Life Sciences and Statistics with
an overview of multivariate regression methods, including logistic regression.
BMET316
- MULTIVARIATE ANALYSIS
To teach students to use multivariate analysis.
Second
Semester
STAT322 - STOCHASTIC PROCESSES
To expose the student to a range of application of stochastic processes
and to provide the student with the necessary techniques for recognizing
and solving problems in this area.
STAT325
- STATISTICAL MODELLING FOR FINANCE
To expose the student to a range of statistical models which are used
in finance and elsewhere.
SERVICE
COURSES OFFERED IN EACH YEAR
First
Semester:
STAT101 - BASIC STATISTICS
To introduce the student to the basic concepts of Statistics and how these
may be applied in problem solving.
BMET210
- INTRODUCTION TO BIOMETRY
To provide students in Agriculture and the Life Sciences with the skills
necessary to adequately analyze and summarize various types of data using
appropriate statistical methods.
BMET314
- INTRODUCTION TO MULTIPLE REGRESSION
BMET316 - APPLIED MULTIVARIATE ANALYSIS
Second
Semester:
BMET222 - DESIGN AND REGRESSION
To introduce students in Agriculture and the Life Sciences to the concepts
of efficient experimental design through blocking and treatment selection.
To introduce students to statistical modelling through multiple linear
regression methods.
Computer Science:
Jump to On-line Faculty Handbook Computer Science Entry
Summary
of Programme:
Computer Science is concerned with the study of problem solving with computers.
It is a field that tries to deal with questions like:
- How
can we use computers to solve certain problems?
- What
makes some problem solutions better than others?
- How
do we verify that we have a correct solution to a problem?
- What
problems can and can't be solved by a computer?
Problems that we'd like to solve using computers come in various shapes
and sizes, from developing a simple calculator to interacting with a web-server
on the other side of the world. To instruct a computer to solve a problem
we must program a solution using a programming language like C++, Java,
Visual Basic or Perl. Learning how to program effectively takes time and
dedication and will be a major part of what you learn in Computer Science.
Description
of Courses:
First Year
CSCI131
Introduction to Computer Science
This module first introduces the student to the computer as a tool for
the study of Computer Science. This is followed by an introduction to
Computer Science as an academic discipline in terms of the formal structures
of Computer Science and the algorithmic process.
CSCI141
Programming and Structures
In order to solve problems using a computer, programs invariably have
to be written. This requires the use of a programming language. This module
introduces Computer Science students to the programming language that
will primarily be using to write programs to solve problems. It introduces
a programming methodology, programming structures and the elaborates on
the algorithmic process introduced in the previous module.
Second
Year
CSCI215
Computer Organization and Architecture
To provide students with an understanding of the architecture of a computer and its low level operations.
CSCI223
Algorithmics
Elaborates
on the basic algorithms used in Computer Science and the data structures
associated with them. It also introduces techniques that can be used to
formally analyze algorithms and comines this with empirical techniques
to asses the space and time complexity associated with algorithms and
data structures.
CSCI224
Distributed Computing
To be able to design effective distributed computing systems.
Third Year
CSCI313 Computability and Automata
A study of the theory of computation formally covering the computation
process, computable objects, decidability and effective enumeration and
universal machines.
CSCI315
Operating Systems
Deals with the major components of modern operating systems of operating
systems and how they interface with the management of computing resources
in a net-centric computing environment.
CSCI323
Intelligent Systems
An introduction to artificial intelligence challenge that examines the
logical foundations of artificial intelligence and knowledge representation.
Also examines various models used to solve the problems of artificial
intelligence programming languages that support artificial intelligence
concepts.
CSCI325
Software Design
Examines various programming and program design paradigms. Also deals
with aspects that control the programming process such as quality assurance
and testing, formal techniques for requirements and specification, programming
tools, environments and integration techniques.
Honours
The year
spent doing Computer Science honours will have doubled your university
exposure to Computer Science by the time you have completed the course.
You will spend the year working in the Computer Science community and
benefit enormously from the experience. The modules on offer are:
Information Systems:
Jump to On-line Faculty Handbook Business Information Systems Entry
Summary
of Programme:
This programme aims to equip students with the skills, knowledge, tools
and values to act as change agents in the technological field. First and
second year courses focus on the principles of end-user computing, hardware,
software, data communications, types of information systems and programming.
Third year courses detail the rigorous process of documenting the user
requirements of an information system, designing a system and the ensuing
programming and database implementation issues. Honours courses explore
aspects of Information Systems in greater depth.
Description
of Courses:
First
Year
BISS111 End User Computing: Essential computing concepts and software
package skills are covered.
BISS121
Business Information Systems Fundamentals: Covers the nature and use of
Information Technology in organisations from the perspective of Systems
theory. The process of Systems Analysis is investigated and students are
introduced to business problem solving, programming and web page design.
Second
Year
BISS213
Systems Analysis Fundamentals
Introduction to the fundamentals of systems theory, systems analysis and design.
BISS221
Business Programming and Data Structures: Equips students with skills
in programming, focusing on business-oriented problems. Detailed familiarity
with a current programming language is complemented with data structures
and algorithm development.
Third Year
BISS313
Advanced Systems Analysis and Design: Detailed
study of the process of determining user requirements and designing an
appropriate Information System to meet the identified needs. Tools and
techniques of documenting systems are complemented by consideration of
soft issues such as communication, group dynamics and interviewing skills.
BISS312
Information Management: Detailed study of current design and implementation
techniques and concepts within a database environment.
BISS321
Commercial Software Development: Extensive physical design, programming,
testing and implementation of an Information System in an object-oriented,
client-server environment. This course is a logical continuation of BISS313.
BISS322
Information Systems Management: Successful IS products and projects require
careful management at various levels. Resource, project and change management
strategies and skills are covered in addition to cost analysis and presentation
techniques.
Honours
Honours courses
explore aspects of Information Systems in greater depth. Topics include:
BISS750
Software Engineering
BISS760 Decision Support Technology
ENTR701 Entreneurship
BISS712 Business Reengineering
BISS780 Managing IS Resources
BISS781 Contemporary Topics in Information Systems
BISS790 Research Project
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