2016/2017 Academic Calender

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UNIVERSITY OF MINES AND TECHNOLOGY
SEMESTER DATES - 2016/2017 ACADEMIC YEAR
FIRST SEMESTER - 16 1/2  WEEKS
Arrival of Continuing Students   Tuesday, August 23, 2016
Registration of Continuing Students   Wednesday, August 24, 2016, -
          Friday, August 26, 2016
Lectures Begin for Continuing Students   Monday, August 29, 2016
Late Registration with Fine   Monday, August 29, 2016 -
          Wednesday, August 31, 2016
Registration of Continuing Students Closes   Wednesday, August 31, 2016
                 
Arrival of Fresh students   Monday, September 5, 2016
Registration/Orientation/Medical   Tuesday September 6, 201–
Examination of Fresh Students   Friday September 9, 2016
                 
Lectures for fresh students begin   Monday September 12, 2016
                 
Matriculation    Saturday, October 8, 2016
                 
Deadline for Departments to submit Lists of          
Registered Students by Courses to Academic          
Affairs Unit   Friday, October 14, 2016
                 
Assessment of Course Delivery   Monday, November 7, 2016 -
          Friday, November 11, 2016
                 
First Semester Examinations   Tuesday, November 29, 2016 -
          Thursday, December 15, 2016
                 
Students Depart   Friday, December 16, 2016
                 
                 
SEMESTER VACATION FOR STUDENTS – 5 WEEKS
Semester Vacation   Friday, December 16, 2016 –
          Friday, January 20, 2017
                 
Christmas Break for Staff starts   Friday, December 23, 2016 -
Christmas Break for Staff ends   Tuesday, January 3, 2017
Work resumes   Wednesday, January 4, 2017
                 
Departmental Board Meetings to consider          
First Semester Examination Results   Friday, January 6, 2017
                 
Faculty/CENCES Board Meetings to consider   Monday, January 9, 2017
First Semester Examination Results          
                 
Board of Postgraduate Studies Meeting to consider          
First Semester Examination Results   Tuesday, January 10, 2017
                 
Auditing of Examination Results          
Faculties/CENCES   Wednesday, January 11, 2017 -
          Thursday, January 12, 2017
                 
School of Postgraduate Studies   Friday, January 13,, 2017
                 
Deadline for Submission of First   Tuesday, January 17, 2017
Semester Examination Results to Registrar          
                 
Special Academic Board Meeting to   Friday, January 20, 2017
Consider First Semester Examination Results          
                 
SECOND SEMESTER – 161/2 WEEKS
Arrival of Students   Saturday, January 21, 2017
                 
Registration of All Students   Monday, January 23, 2017 -
          Friday, January 27, 2017
                 
Lectures Begin   Monday, January 30, 2017
                 
Late Registration with Fine   Monday, January 30, 2017-
          Wednesday, February 1, 2017
                 
Registration of Students Closes   Wednesday, February 1, 2017
                 
Deadline for Departments to   Friday, February 3, 2017
Submit Lists of Registered Students          
by Courses to Academic Affairs Unit          
                 
Assessment of Course Delivery   Monday, April 17, 2017 –
          Friday, April 21, 2017
                 
Second Semester Examinations   Tuesday, May 2, 2017 –
          Thursday, May 18, 2017
                 
Students Depart   Friday, May 19, 2017
                 
Departmental Board Meetings to consider   Tuesday, June 6, 2017
Second Semester Examination Results          
                 
Faculty/CENCES Board Meetings to consider   Thursday, June 8, 2017
Second Semester Examination Results          
                 
Board of Postgraduate Studies Meeting to consider          
Second Semester Examination Results   Friday, June 9, 2017
                 
Auditing of Examination Results          
Faculties/CENCES   Monday, June 12, 2017 –
          Tuesday, June 13, 2017
                 
School of Postgraduate Studies   Wednesday, June 14, 2017
                 
Deadline for submission of Examination   Monday, June 19, 2017
Results to Registrar          
                 
Special Academic Board Meeting to   Thursday, June 22, 2017
consider Second Semester Examination Results          
                 
CONGREGATION   Saturday, July 22, 2017
                 
Annual Leave for Teaching Staff begins   Friday, June 9, 2017
                 
Annual Leave for Teaching Staff ends   Friday, July 21, 2017
                 
 
 
     
                 
   
                 
   

 

 

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Environmental and Safety Engineering

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The Department runs a 4-Year Bachelor of Science Degree programme in Environmental and Safety Engineering.   The aim of the Department is to provide a broad-based education and training in safety and environmental issues that will enable graduates to address environmental and safety engineering challenges in Ghana and elsewhere. 
The programme is composed of taught courses, seminars, fieldtrips, report writing and laboratory work. The taught courses are assessed largely through quizzes, class tests, homework and an end of semester examination.The Curriculum aims at providing knowledge of the Practical and essential principles of water, soil and air management, Safety Management, Health hazards, Hydrograph Analysis, water and air Modeling Systems, Waste Treatment Innovations and Engineering Economics.


Graduates of the Department will be equipped with the skill to identify, model and solve environmental and safety engineering problems.  Graduates will also be equipped with Methods of Controlling Hazards and Risk at work places.  They will also be able to know and prepare Energy-efficient Buildings and Design, Land use and Community Planning and Social Responsibility Strategies as well as be able to prepare and present engineering reports and apply relevant environmental principles to manage organizations and maintain cordial human relations.

The Department has strong academic staff with specialties in the fields of Environmental Chemistry, Environmental Process Engineering, Ergonomics and Stress Managements, Occupational Health and Safety, Meteorology, Risk Management and Hazard Control Systems.  Individual lecturers are heavily involved in research in their respective fields.
The Department is endowed with adequate laboratory facilities and resources to undertake research and outreach activities.  There exists contact with mining and allied industries that enable industrial attachments and fieldtrips to take place. Students are therefore always able to relate the practical with theory for effective understanding for a successful career.


 

BSc ENVIRONMENTAL AND SAFETY ENGINEERING

    ADMISSION REQUIREMENTS:

       i.            Applicants with SSSCE and WASSCE Certificates

         Applicant must have credits in the following subjects:

Credits in Core Subjects

Credits in Elective Subjects

English Language

Mathematics

Integrated Science

Physics

Mathematics

Chemistry


  ii.            Applicants with Ordinary and Advanced Level certificates

Candidates with GCE ordinary level must have passes in English, Mathematics, Additional Mathematics, Physics and Chemistry. Applicants with GCE advanced level Certificates must have credit passes in Mathematics Physics and Chemistry

   iii.            Mature Candidates

a.       Candidates must have attained 25 years of age.

b.       Candidates must have credits in 5 WASSCE/SSSCE subjects including English Language and Mathematics or passes in five subjects at SC/GCE Ordinary Level including English Language, Mathematics and a Science Subject.

c.       In addition the candidates must have had relevant working experience.

d.       Candidate must also pass an interview conducted at the Department.

 

 


DEPARTMENT CONTACT INFORMATION
Department:
  Environmental & Safety Engineering (BSc)
Phone Number:
  +233 (0) +233 3123 20324/20280
Postal Address:
  P O Box 237, Tarkwa, Ghana
Email Address:
  This email address is being protected from spambots. You need JavaScript enabled to view it.
Website:
  http://www.umat.edu.gh

PROGRAMME STRUCTURE

 

YEAR ONE SEMESTER ONE      
Course Code Course Name T P C
ES 141 Basic French I 1 1 1
ES 151 Applied Electricity 2 2 3
ES 153 Linear Algebra & Trigonometry 2 2 3
ES 155 Technical Drawing  1 3 2
ES 157 Communication Skills I 2 1 2
ES 159 Introduction to Computing 1 2 2
ES 161 Physical and Structural Geology  2 1 2
ES 167 Basic Mechanics 2 2 3
ES 171 Principles of Environmental Engineering 2 1 2
Total   15 15 20

 

YEAR ONE SEMESTER TWO       
Course Code Course Name T P C
ES 142 Basic French II 1 1 1
ES 150 Calculus 2 1 2
ES 152 Strength of Materials 2 2 3
ES 154 Physical and Analytical Chemistry 2 1 2
ES 156 Engineering Drawing 2 2 3
ES 158 Communication Skills II 2 1 2
ES 160 Mineralogy and Petrology 2 2 3
ES 162 Applied Electronics 2 1 2
ES 172 Introduction to Ecology and Biodiversity 2 1 2
Total   17 12 20

 

 

 
 
 
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Computer Science & Eng.

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The Computer Science and Engineering Department currently runs a four-year Bachelor of Science (BSc) degree programme. The programme is designed to provide students with a firm grounding in the concepts of Computer Science and Engineering and related courses to meet the requirements of educational institutions and industry. A graduate from the department is expected to have a broad knowledge in a fairly large area in Computing and Engineering and their applications.

The Computer Science and Engineering Department has qualified and experienced lecturers.
The Computer Science and Engineering Department at UMaT should be the preferred choice of candidates desirous of studying and applying Computer Science and Engineering in their everyday life because of the wide range of subjects covered.
The successful graduate will find employment in the Banking and Financial sectors, Mining and allied industries, Educational and Research institutions, just to mention a few.

 


Computer Science and Engineering

Programmes Offered:

Computer Science and EngineeringBSc


Department Contact Information
Department:
  Computer Science and Engineering
Phone Number:
  +233 (0) 362 21139
Postal Address:
  P O Box 237, Tarkwa, Ghana
Email Address:
  This email address is being protected from spambots. You need JavaScript enabled to view it.
Website:
  http://www.umat.edu.gh

Programme Description

Computer science is the study of computer software whereas computer engineering is the study, design and analysis of computer hardware and software. Computer science differs from computer engineering in that, for the computer scientist, strategies for the theory of software development are of primary importance and for computer engineers, computer hardware is a principal concern and, in creating software, they tend to focus more on applying and merging techniques. The programme aims at providing firm grounding in basic concepts of both Computer Science and Engineering disciplines and related courses to meet the requirements for the Information, and Communication Technology (ICT) arena and allied industries.


Programme Admission Requirement BSc
For admission, candidates must have:

1. Passes in THREE CORE SUBJECTS at Senior High School (SHS) LEVEL in English, Mathematics, and Integrated Science AND passes in THREE SCIENCE ELECTIVES in Physics, Chemistry and Mathematics.
OR
2. Passes in the GCE ORDINARY-LEVEL in English, Mathematics, Physics, Chemistry and Mathematics and GCE ADVANCED Level passes in Physics, Chemistry, and Mathematics.

WASSCE-SSSCE Conversion

 

YEAR ONE
SEMESTER ONE
Course No. Subject T P C
CE 151
CE 155
CE 157
CE 159
CE 171
CE 167
CE 169
Applied Electricity
Technical Drawing
Communication Skills I
Introduction to Computing
Introduction to Computer Science and Engineering
Basic Mechanics
Linear Algebra
2
2
2
1
2
2
2
2
2
1
3
1
1
2
3
3
2
2
2
3
3
Totals
13 12 18
 
YEAR ONE
SEMESTER TWO
Course No. Subject T P C
CE 152
CE 156
CE 158
CE 164
CE 166
CE 168
CE 172
CE 174
Strength of Materials
Engineering Drawing
Communication Skills II
Basic Electronics
Calculus
Basic Material Science
Circuit Theory
Programming in C++
2
1
2
2
2
2
2
1
1
4
1
2
2
1
3
4
2
3
2
3
3
2
3
3
Totals
14 18 21

 

YEAR TWO
SEMESTER ONE
Course No. Subject T P C
CE 251
CE 265
CE 271
CE 273
CE 275
CE 277
CE 279
Literature in English I
Differential Equations
Data Structure and Algorithms
Computer Architecture
Electronics I
Programming with Visual Basic
Introduction to Data Base Systems
1
2
2
2
2
1
2
1
2
2
2
2
4
2
1
3
3
3
3
3
3
Totals
12 15 19
 
YEAR TWO
SEMESTER TWO
Course No. Subject T P C
CE 252
CE 260
CE 266
CE 278
CE 270
CE 272
CE 274
CE 276
Literature in English II
Mathematical Analysis
Signals and Systems
Introduction to Microprocessors
Fieldtrip and Technical Report Writing I
Electronics II
User Interface and Software Design
Software Engineering
1
2
2
2
0
2
2
2
1
2
2
1
4
2
2
2
1
3
3
2
1
3
3
3
Totals
13 16 19
 
YEAR THREE
SEMESTER ONE
Course No. Subject T P C
CE 361
CE 363
CE 365
CE 375
CE 377
CE 371
CE 373
Probability and Statistics
Numerical Analysis
Environmental Management
Operating Systems
Design Practices in Computer Science
Embedded System Design
Object - Oriented Programming with C++
2
2
2
2
2
2
2
1
1
2
2
2
2
2
2
2
3
3
3
3
3
Totals
14 12 19
 
YEAR THREE
SEMESTER TWO
Course No. Subject T P C
CE 352
CE 356
CE 374
CE 364
CE 380
CE 382
CE 372
CE 376
Public Relations
Fieldtrip and Technical Report Writing II
Data Communication and Computer Networks
Logic of Computer Science
Programming with Visual Basic
Simulation and Modelling
Web Programming
Digital Hardware Design
2
0
2
2
2
2
2
2
0
4
2
2
1
2
1
1
2
1
3
3
2
3
2
2
Totals
14 13 18

 

YEAR FOUR
SEMESTER ONE
Course No. Subject T P C
CE 451
CE 457
CE 459
CE 461
CE 471
CE 473
CE 475
Economic Development and Planning
Law of Contract and Tort
Operations Research
Principles of Economics
Industrial Electronics
Digital Signal and Image Processing
Artificial Intelligence
2
2
2
2
2
2
2
1
0
2
0
2
2
2
2
2
3
2
3
3
3
Totals
14 9 18
 
YEAR FOUR
SEMESTER TWO
Course No. Subject T P C
CE 450
CE 452
CE 454
CE 470
CE 472
CE 474
Project Work
Colloquium/Seminar
Business Entrepreneurship
Compiler Design
Network Principles and Computer Security
Introduction to Robotics
0
0
2
2
1
2
12
4
0
2
4
2
4
1
2
3
3
3
Totals
7 24 16

 

COURSE OUTLINE FOR
B.Sc. DEGREE PROGRAMME IN COMPUTER SCIENCE & ENGINEERING

YEAR ONE SEMESTER ONE

CE 151 Applied Electricity (2, 2, 3)
Circuit laws. Circuit theorems. Electrostatics. Electromagnetism. Magnetic circuits. Inductance. Alternating voltage and current. Signal waveforms. Introduction to electrical machines: transformers, Direct Current (DC) machines, induction machines and synchronous machines.

CE 155 Technical Drawing (2, 2, 3)
Lettering with inclined and vertical strokes. Word spacing and compositions. Construction of lines, angles, regular polygons and general loci. First and third angle orthogonal projections. Dimensioning, limits, fits and tolerance.

CE 157 Communication Skills I (2, 1, 2)
Tools, methods and systems of communication. Pre-writing and writing skills. Reading skills. Conventions and usages. Co-ordination and parallelism. Ambiguity.

CE 159 Introduction to Computing (1, 3, 2)
Introduction to Personal Computers (PCs). Windows operating system. Internet usage. Word processing using Microsoft (MS) Word. Spreadsheet using Microsoft (MS) Excel.

CE 167 Basic Mechanics (2, 1, 2)
Introductory concepts of engineering mechanics: involving basic principles in statics and dynamics with simple applications. Simple machines and conservation laws. Trusses.

CE 169 Linear Algebra (2, 2, 3)
Matrix algebra: determinants. Systems of linear equations and their solutions by matrix methods. Consistency of equations. Homogeneous systems of equations. Eigenvalues and Eigenvectors. Vector algebra: Scalar products. Vector products. Scalar triple products. Vector triple products. Geometrical applications of vectors. Complex algebra: the Argand diagram. De Moivre’s theorem and its applications (solution of polynomial equations, summation of series). Sequence and series.

CE 171 Introductions to Computer Science and Engineering (2, 1, 2)
Introduction to the fields of computer science and engineering. Current and future trends and challenges in various fields of computing. Social, ethical and economical issues related to computing technology. Introduction to problem-solving through programming. The algorithmic concepts, program control flow, and using prewritten functions. Exploration of career and professional development opportunities.

YEAR ONE SEMESTER TWO

CE 152 Strength of Materials (2, 1, 2)
Mechanical properties of materials. Simple stresses. Temperature stresses. Shear stresses. Torsional shear stresses. Beams: shear force and bending moments, bending stress in beams. Complex stresses: two dimensional stress. Mohr’s stress circle.

CE 156 Engineering Drawing (2, 2, 3)
Using Computer Aided Design (CAD) software to do the following: sectional views and standard conventions of sectional views. Curves of intersection of various planes and solids. Development of various solids like cylinders and spheres. Assembly drawings from both exploded views and working drawing views.

CE 158 Communication Skills II (2, 1, 2)
Supporting and developing sentences. Forms of discourse. Inductive and deductive reasoning. Registers. Editing. The use of footnotes. References. Newspapers and journals. Plagiarism.

CE 164 Basic Electronics (2, 2, 3)
Atomic structure. Semiconductor devices. Bipolar transistors. Rectification. Thyristors. Photo cells. Field Effect Transistors (FET).

CE 166 Calculus (2, 2, 3)
Differentiation: logarithmic and parametric differentiation. Differentiation of inverse trigonometric functions. Applications to maxima and minima. Leibnitz’s formula for nth (repeated) differentiation of a product. Indeterminate forms. Rolle’s theorem. Mean value theorem. Techniques of integration: integration by parts, reduction formulae. Improper integrals. Functions of several variables. Partial differentiation. Total derivatives. Langrange multipliers. Gradient. Divergence and curl of vectors.

CE 168 Basic Material Science (2, 1, 2)
Materials and properties. Bonding and atomic structure. The crystalline state. Structural disorder. Phase equilibra. Shaping of materials. Iron and steel. Brief treatment of non-ferrous metals. Thermoplastics, Thermosetting of materials and ceramics. Behaviour of materials in service.

CE 172 Circuit Theory (2, 2, 3)
Network theorems to Alternating Current (AC) Networks: network topology. Graph or network. Trees: node voltage and current equations. Two port networks: interconnection of networks, application of interconnection rules, loaded two ports, reciprocity and symmetry. Multiport networks: network equations. n-terminal networks. Two port devices: the gyrator. Laboratory work I: circuit practice, electromagnetism and the magnetic circuit, circuit laws and bridge circuits.

CE 174 Programming in C++ (1, 4, 3)
Introduction to C programming. Fundamental data types and storage classes. Operators and expressions. Standard C/C++ preprocessor. Standard C/C++ library and conditional program execution. Program loops and iteration. Modular programming. Arrays. Structures. Pointers to objects. Unions. Controlling devices. Operating system interaction. Mouse and graphic programming. Lists, trees, string, queues and stacks.

YEAR TWO SEMESTER ONE

CE 251 Literature in English I (1, 1, 1)
Introduction to literary terms and devices. Specific texts: prose, drama, poetry. Vocabulary and language use. Literature as a reflection of contemporary way of life or society (the text as mirrors). Literature and morality (the text as examples). Literature as a form of entertainment. African writers series.

CE 265 Differential Equations (2, 2, 3)
Ordinary differential equations. First order equations. Second order equations with constant coefficients. Laplace transforms and z-transforms and their application to solution of ordinary differential equations.

CE 271 Data Structures and Algorithm (2, 2, 3)
Review of basic data structures and their realization in object oriented environment. The following topics will be covered with emphasis on formal analysis and design: dynamic data structures, 2-3 trees, red-black trees, binary heaps, binomial and Fibonacci heaps, skip lists, universal hashing. Data structures for maintaining ranges, intervals and disjoint sets with applications. Basic algorithmic techniques like dynamic programming and divide- and-conquer. Sorting algorithms with analysis. Integer sorting algorithms with analysis. Integer selection, Graph algorithms like Depth First Search (DFS) with applications. Minimum Spanning Tree (MSTs) and shortest paths.

CE 273 Computer Architecture (2, 2, 3)
Subsystems of a computer. Instructions and their formats. Assembly programming. Performance metrics. Performance comparison. Information representation. Integer and floating point arithmetic. Processor data path design. Control unit design. Microprogramming. Performance improvement with pipelining. Memory organization: cache and virtual memory. Input/output organization, interrupts and Dynamic Memory Allocation (DMA).

CE 275 Electronics I (2, 2, 3)
Differential gain and output gain stages. Operational amplifiers and their application to analogue computers. Active filters. Signal generation. Voltage and switching regulators. Oscillators, feedback and stability.

CE 277 Programming with Java (2, 1, 2)
In-depth treatment of computer programming using JAVA. Solution of problems related to a variety of disciplines. An introduction to the basic concepts of software and hardware. Students will develop a variety of stand-alone applications and applets.

CE 279 Introduction to Data Base Systems (2, 2, 3)
The world of database systems. The Entity Relational (E-R) model, the three database models, representation and evaluation of relationship. The relational database model. Functional dependencies. Multi-valued and joint dependency. Normalization theory. Concurrency control in relational databases. Object-oriented data models. The database language Structured Query Language (SQL): constraints and triggers in Structured Query Language (SQL), system aspects of Structured Query Language (SQL). Object-oriented query languages. Extensible Markup Language (XML) databases.

YEAR TWO SEMESTER TWO

CE 252 Literature in English II (1, 1, 1)
Reading and appreciation. Literary terms. Specific texts: prose, drama, poetry. Vocabulary and language use. Literature as a reflection of contemporary way of life or society (the text as mirrors). Literature and morality (the text as examples). Literature as a form of entertainment. Shakespearean and modern classics.

CE 260 Mathematical Analysis (2, 2, 3)
Partial differential equations. The wave equation. Heat conduction equation and Laplace’s equation. Solutions by separation of variables. Legendre polynomials. Convergence of series. Power series. Taylor’s and Maclaurin’s series. Fourier series. Multiple integrals. Double and triple integrals. Line, surface and volume integrals. Green’s theorem.

CE 272 Electronics II (2, 2, 3)
Digital devices and circuits. Memories. Combinational systems. Synchronous and asynchronous sequential systems. Design example.

CE 266 Signals and Systems (2, 1, 2)
An introduction to signals and systems. Formalizing signals and systems. Continuous-time and discrete-time Linear Time-Invariant (LTI) systems in detail.  The Laplace transform for continuous time signals and systems. System realization through block-diagram representation and system inter-connection. The sampling theorem and its implications. Applications of signal and system theory.

CE 270 Fieldtrip and Technical Report Writing I (0, 4, 1)
Fieldtrips to areas of interest. Students will be expected to present reports upon which they will be assessed for their credits.

CE 274 User Interface and Software Design (2, 2, 3)
Evaluation, design and programming of user interface systems. Fundamentals of human cognition, system characteristics, and the interaction between humans and systems. Usability methods and user/task-centered design. Tools for designing and building user interfaces with emphasis on rapid applications development.

CE 276 Software Engineering (2, 2, 3)
Concepts and techniques relevant to production of large software systems: structured programming, requirements specification and analysis. Top-down design and development. Information hiding. Abstraction. Modularity. Object-oriented techniques. Separate compilation. Configuration management. Program libraries design patterns. Unified Modeling Language (UML) documentation. Validation. Quality assurance, safety, testing and test case generation. Software metrics. Cost analysis and estimation. Manpower and time management. Organization and management of large software design projects.

CE 278 Introduction to Microprocessors and Digital Control System (2, 2, 3)
Microprocessor architecture. Instruction set. Interfacing input and output devices. Interrupts. and 8051 Micro-controller. Basic concepts and terminologies of control system. Introduction and mathematical description of systems. Continuous and discrete time system. Quality control system processes. Control settings. Digital implementation of control system. Automation and controls

YEAR THREE SEMESTER ONE

CE 361 Probability and Statistics (2, 1, 2)
Introduction to probability. Random variables. Discrete and continuous distribution. Regression analysis and correlation. Methods of estimation. Confidence intervals. Test of hypothesis. Principles of reliability.

CE 363 Numerical Analysis (2, 1, 2)
Error analysis. Interpolation. Iterative methods of solving systems of linear and non-linear equations. Numerical solutions of ordinary and partial differential equations. Application of computer programming.

CE 365 Environmental Management (2, 2, 3)
Mine atmosphere. Air parameters. Mine gases. Mine dust. Atmospheric air. Air pollution. Heat in mines. Mine climate. Thermal stress environment. Thermal indices. Mine fires. Water quality and water pollution. Environmental Impact Assessment (EIA). Use of instruments for measuring air, gases, dust and thermal index.

CE 371 Embedded System Designs (2, 2, 3)
Introduction to embedded systems hardware needs. Interrupts basics Interrupt Service Routines (ISR). Survey of software architectures. Inter task communication. Message queue, mailboxes and pipes. Timer functions. Events interrupt routines in a Real-Time Operating Systems (RTOS) environment. Embedded system software design using an Real-Time Operating Systems (RTOS) hard real-time and soft real-time system principles, Task division, need of interrupt routines, shared data. Embedded software development tools. Debugging techniques.

CE 373 Object Oriented Programming with C++ (2, 2, 3)
Object oriented paradigm & C++ at a glance. Classes and objects. Object initialization and cleanup. Dynamic objects. Operator overloading. Inheritance. Virtual functions. Generic programming with templates. Streams computation with streams. Stream computation with files. Exception handling.

CE 375 Operating Systems (2, 2, 3)
Functions of operating systems. Layered architecture basic concepts: interrupt architecture, system calls and notion of process and threads. Synchronization and protection issues. Scheduling: memory management including virtual memory and paging techniques. Input-output architecture and device management. File systems: distributed file systems. Multitasking. Case studies of UNIX, Windows NT, Linux. Design and implementation of small operating systems.

CE 377 Design Practices in Computer Science (2, 2, 3)
Basic design methodology: introduction to the steps involved. Familiarization with software practices, tools and techniques. Software project involving conceptualization, design, analysis,  implementation and testing using the tools and techniques learnt.

YEAR THREE SEMESTER TWO

CE 352 Public Relations (2, 0, 2)
Meaning, nature and scope of Public Relations (PR) as exhibited by its definition and distinction from other forms of communication. Planning PR programmes. The role PR plays in organizations and as to whether to set up a PR department or depend on the services of a PR consultant. Media and press relations. Case studies.

CE 356 Fieldtrip and Technical Report Writing II (0, 4, 1)
Fieldtrip to areas of interest. Students will be expected to present reports upon which they will be assessed for their credits.

CE 372 Web programming (1, 4, 3)
Web page design using modern tools. Development of web pages from layout to posting on the Internet. Website usability, accessibility, security, and ethics. Introduction to www development, accessibility issues, standards, and programming: emphasizing Extensible Markup Language (XML) technologies and cascading style sheets. Visual design principles and information architecture. Client-server and server-client programming and protocols. Development for adaptive technologies and mobile devices.

CE 374 Data Communication and Computer Networks (2, 2, 3)
Fundamentals of digital communications, including channel capacity, error rates, multiplexing, framing and synchronization. Broadcast network and multi-access protocols, including Carrier Sensible Multiple Access with Collision Detection (CSMA/CD). Data link protocols, network protocols including routing and congestion control, Internet Protocol (IP). Transport protocol including Transfer Control Protocol (TCP). Network application services and protocols including email, www, Domain Name Server (DNS). Network security and management.

CE 376 Digital Hardware Design (2, 1, 2)
Combinational circuit design using Medium Scale Integration/Large Scale Integration (MSI/LSI) and programmable logic modules. Iterative and tree networks. Sequential circuit design and implementation. Algorithmic state machine design. Asynchronous and pulse mode circuit design. Hardware description language and synthesis. Micro- program control design. Testing of digital systems. Introduction to hardware-software co-design.

CE 378 Logic of Computer Science (2, 1, 2)
Review of the principle of mathematical induction. The principle of structural induction. Review of boolean algebras. Syntax of propositional formulas. Truth and the semantics of propositional logic. Notions of satisfiability, validity and inconsistency. Deduction systems for propositional logic. Soundness and completeness of deduction systems. First order logic (FOL): syntax and semantics. Proof theory for FOL. Introduction to model theory. Completeness and compactness theorems. First order theories. Programming exercises will include representation and evaluation, conversion to normal-forms, tautology checking. Proof normalization. Resolution. Unification. Skolemization. Conversion to Horn-clauses. Binary-decision diagrams.

CE 380 Programming with Visual Basics (1, 4, 2)
Introduction to structure programming, design environment, controls, properties, programming, and applications of Visual Basic programming language. Utilizes Visual Basics, a general-purpose language but also emphasizes problem-solving solutions and methods for variable applications. Students are introduced to object-oriented and event-driven programming. Topics include forms, events, properties, syntax and file processing. Problems related to a variety of disciplines are solved.

CE 382 Simulation and Modelling (2, 2, 3)
Fundamentals of modeling. Classification of simulation models. The simulation process. System investigation, model formulation, validation and translation. Time flow mechanisms. Design of computer simulation experiments. Simulation of complex discrete-event systems with applications in industrial and service organizations. Tactical planning and management aspects. Random variable generation and analysis.

YEAR FOUR SEMESTER ONE

CE 451 Economic Development and Planning (2, 1, 2)
Theories and concepts of development. Foreign aid, grants and investment. Techniques of economic development planning. Third world and economic development planning, with particular emphasis on Ghana.

CE 457 Law of Contract and Tort (2, 0, 2)
Law and legal system. Contract and conditions for valid contracts. Contracts and business organizations. Abrogation of contracts.

CE 459 Operations Research (2, 2, 3)
Application of the following operations research techniques in solving relevant problems: linear and integer programming, assignment and transportation problems. Decision analysis. Project scheduling methods: Critical Path Method, (CPM), Program Evaluation and Review Technique (PERT). Simulation techniques. Application of appropriate computer software.

CE 461 Principles of Economics (2, 0, 2)
Introduction to microeconomics. Demand and supply and price theory. Elasticities. Economies of scale. Optimal input combinations and cost functions. Perfect competition, monopoly, imperfect competition. Business organizations and securities. Introduction to macroeconomics. Functions of government. Measurement of national output and income. Money and banking.

CE 471 Industrial Electronics (2, 2, 3)
Design of amplifiers. FET amplifiers. Frequency response of wide-band/narrow-band amplifiers, Large signal (power) amplifiers (class A, B, AB, C etc.). Differential amplifiers and current sources. Op-Amps. Feedback and stability. Quasi-linear circuits: Phase-Locked-Loop (PLL) circuits, Integrated Circuit IC oscillators timers and circuits: frequency-to-voltage, voltage-to-frequency converters. Basic Programmer Logic Controller (PLC).

CE 473 Digital Signals and Image Processing (2, 2, 3)
Signal representation in time domain, Fourier transform, sampling theorem, linear time-invariant system, discrete convolution, z-transform, discrete Fourier transform, and discrete filter design. Introduction and digital image fundamentals. Image transforms. Image enhancement. Image restoration. Image compression. Image segmentation. Representation and description. Recognition and interpretation

CE 475 Artificial Intelligence (2, 1, 2)
Problem solving, search techniques, control strategies, game playing (minimax), reasoning, knowledge representation through predicate logic, rule-based systems semantic nets, frames, conceptual dependency formalism. Planning. Handling uncertainty: Bayesian networks, Dempster-Shafer theory, certainty factors. Fuzzy logic. Learning through neural nets: Back propagation, radial basis functions. Neural computational models: Hopfield nets, Boltzman machines. Logic Programming Language (PROLOG) programming.

YEAR FOUR SEMESTER TWO

CE 450 Project Work (0, 12, 4)
Selected project work under the supervision of an academic Senior Member.

CE 452 Colloquium/Seminar (0, 4, 1)
Student will prepare a paper on a selected topic and present it in a seminar under supervision.

CE 454 Business Entrepreneurship (2, 0, 2)
Forms of Business organization. Management of business enterprises. Budget preparation process. Management of working capital. Investment in asserts.

CE 470 Compiler Design (2, 2, 3)
Compilers and translators. Lexical and syntactic analysis: top-down and bottom up parsing techniques. Internal form of source programs. Semantic analysis, symbol tables, error detection and recovery, code generation and optimization. Type checking and static analysis. Algorithms and implementation techniques for type-checking code generation and optimization. Students will design and implement translators, static analysis, type-checking and optimization.

CE 472 Network Principles and Computer Security (2, 2, 3)
Fundamentals of computer network programming. Client-server programming. Concepts of computer network programming including the RPC procedure call, Common Object Request Broker Architecture (CORBA), multicasts, and broadcasts. Overview of computer network theory and practice from a systems perspective: network infrastructure, local area network (LAN) protocols, wide area network (WAN) protocols, switching technologies, Internet Protocol (IP), Transmission Control Protocol (TCP), network security, and network configuration, design, and performance. Element of information security. Security issues and control. Cryptography methods of information security.

CE 474 Introduction to Robotics (2, 2, 3)
Discrete-time and quantized data control systems. Z-transform and state space methods. Principles of digital control. Digital controllers and components. Controller software. Industrial and robotic systems. Descriptions of 3D space, geometry of robotics manipulators. Transducers and interfacing.

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General Drilling

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This is a two year (4-semester) programme run by the Department of Geological Engineering. The programme aims at addressing the needs of middle level personnel in drilling for mineral/oil exploration, geotechnical and hydrogeological establishments. The successful candidate should be competent to take up jobs in the mining, oil, hydrogeological and allied industries and be able to design, operate, work in a team and supervise drilling operations under all conditions as well as have knowledge in using modern drilling equipment.



Computer Science and Engineering

Programmes Offered:

General Drilling Diploma


Department Contact Information
Department:
  Geological Engineering
Phone Number:
  +233 (0) 362 21139
Postal Address:
  P O Box 237, Tarkwa, Ghana
Email Address:
  This email address is being protected from spambots. You need JavaScript enabled to view it.
Website:
  http://www.umat.edu.gh

Programme Description

The Diploma in General Drilling programme is to address the need of middle level personnel in drilling for mineral/oil exploration, geotechnical and hydrogeological establishment.

Objectives of the Programme

  • Diplomates competent to take up jobs in the mining, oil, hydrogeological and allied industries
  • Confident drillers who can design, operate, work in a team and supervise drilling operations under all conditions.
  • Diplomates equipped with knowledge in using modern drilling equipment.

Programme Admission Requirement

Applicants must satisfy any of the following:

  1. WASSCE/SSCE credits in Integrated Science, Core Mathematics, English Language, and credits in the following elective subjects: Physics, Mathematics plus Chemistry or Technical Drawing or Metal Work or Applied Electricity or Electronics.
  2. General Certificate of Education (GCE) Ordinary Level credits in five (5) subjects including English Language, Chemistry, Physics, and Mathematics; and General Certificate of Education (GCE) Advanced Level passes in Chemistry, Physics, and Mathematics.
  3. City and Guilds of London Institute Part III Certificate or its equivalent in either Mechanical, Automobile, or Electrical Engineering.
  4. Holders of Certificate of Proficiency in General Drilling (one year course) from University of Mines and Technology or a recognised institution are eligible.
  5. Mature Applicants should be at least 25 years of age and should have any of the following:

 

  • GCE Ordinary Level Certificate with credits or SSCE with passes in five subjects including English Language and Mathematics plus experience in the relevant area of study.
  • City and Guilds of London Institute Part II Certificate or its equivalent plus experience in the relevant area of study.

Matured applicants will be selected after passing an interview to be conducted by the Department.
vi)    Foreign Applicants with equivalent certificates and grades are eligible.

Assessment Requirements:
Assessment of students shall involve:

  • Continuous assessment made up of records of attendance to lectures, exercises, laboratory work and field work (40 %); and
  • End of Semester Examinations (60 %)

Requirements for Graduation:
Candidates must:

  • Pass all required courses;
  • Achieve a minimum of 73 credits;
  • Obtain Cumulative Weighted Average (CWA) mark of 50 % and above; and
  • Complete a supervised project work in the Final Year.

 

YEAR ONE
SEMESTER ONE
Course No. Subject T P C
GL 121
GL 123
GL 125
GL 127
GL 129
GL 131
GL 133
GL 135
GL 137
Trigonometry and Calculus
Physical and Structural Geology
Land Surveying
Technical and Engineering Drawing
Internal Combustion Engine
Exploratory Drilling and Safety
Basic French 1
Communication Skills
Field Trip - Reverse Circulation Drilling
2
2
2
1
1
2
1
2
0
2
1
2
3
3
4
1
1
1
3
2
3
2
2
3
1
2
1
Totals
13 18 19
 
YEAR ONE
SEMESTER TWO
Course No. Subject T P C
GL 122
GL 124
GL 126
GL 128
GL 130
GL 132
GL 134
GL 136
GL 138
CE 172
CE 172
CE 172
Statistics & Probability
Strength of Materials
Mineralogy and Petrology
Introduction to Computing
Hydraulic Systems
Water Well Drilling
Technical Report Writing
Basic French II
Field Trip - Water Well Drilling
Programming in C++
Programming in C++
Programming in C++
2
2
2
2
2
2
2
1
0
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
2
3
2
3
2
2
1
1
1
1
1
Totals
15 11 18

 

YEAR TWO
SEMESTER ONE
Course No. Subject T P C
GL 221
GL 223
GL 225
GL 227
GL 229
GL 231
GL 233
GL 235
GL 237
Percussive Drilling
Rig Maintenance
Pneumatics
Literature in English
Elements of Mining and Rock Fragmentation
Hydrogeology
Basic Electricity
Entrepreneurial Skills
Field Trip - Core Drilling
2
2
2
1
2
2
2
2
0
1
3
1
0
2
1
1
1
1
2
3
2
1
3
2
2
2
1
Totals
15 11 18
 
YEAR TWO
SEMESTER TWO
Course No. Subject T P C
GL 222
GL 224
GL 226
GL 228
GL 230
GL 232
GL 234
GL 236
Rock and Soil Mechanics
Orientation Drilling
Project Work
Rock and Mineral Deposits of Ghana
Seminar
Managerial Skills
Environmental Management
Training on Oil Rig
2
1
1
2
1
2
2
1
2
3
8
2
2
1
1
1
3
2
3
3
2
2
2
1
Totals
12 21 18


YEAR ONE SEMESTER ONE

GL 121 Trigonometry and Calculus (2, 2, 3)

Trigonometry
Introduction: The general angle; the trigonometrical ratios of angles of any magnitude; trigonometrical ratios of 30º, 45º, 60º; Graphs of  ,  ,

Trigonometrical identities: the formulae for  ,  ,  ; the double angle formulae; the factor formulae; the Sine rule, the Cosine rule, area of triangle, radians, solving trigonometrical equations.

Calculus
Limits; differentiation of a composite function; implicit differentiation; maxima and minima; integration as the inverse of differentiation; application of integration to: trigonometry, polynomials, and exponential functions, areas and volumes; Integration techniques: integration by substitution, by parts and by resolution into partial fractions.

GL 123 Physical and Structural Geology (2, 1, 2)
Various disciplines in geology. The rock cycle, strata and geological time scale. Internal structure of the earth, the solar system, plate tectonics, weathering, soils, mass wasting.
Primary and secondary structures: bedding; cross bedding; graded bedding, ripple marks; desiccation cracks, sole marking, pillow lavas load cast; unconformities, folds, joints, faults, cleavages and schistosities.

GL 125 Land Surveying (2, 2, 3)
General surveying procedures and operations. Compass surveying and application in horizontal distance measurements and obstacles in chaining. Vertical control (levelling) and applications. Theodolite and applications. Traversing and computation. Modern positioning systems (electronic and satellite). Setting out and orientation of drill hole positions.

GL 127 Technical and Engineering Drawing (1, 3, 2)
Construction of lines, angles, regular polygons and general loci, first and third angle orthogonal projections. Sectional views and standard conventions of sectional views. Curves of intersections of various planes and solids, development of various solids like cylinders and spheres.

GL 129 Internal Combustion Engines (1, 3, 2)
Engine calculations. Energy conversion process. Fuel injection equipment. Fault finding - loss of power, engine knocks, diesel knock, detonation, warning, devices, fault, causes, remedies. Cooling System - liquid cooling, air cooling, thermosiphon, cooling, pressurised pump-assisted cooling, thermostats. Lubrication System. Power chart.

Internal Combustion Engines – cylinder compression test, cylinder leakage test, calibration and phasing test, exhaust gas analysis.

GL 131 Exploratory Drilling (2, 4, 3)
History of drilling, principles of drilling, drilling methods, main uses of diamond drill, general description of diamond drill, mechanical features of a diamond drill, core care and handling.

Drill tools and accessories: diamond bits, reaming shell, core barrels, rods, casings, pump, overburden, drill techniques, fluids for mud application, vibration, borehole deviation and survey.

GL 133 Basic French I (1, 1, 1)
Etablir l’Identité de quelqu’un. Entrer en contact avec le monde francophone. Savoir décrire les activités et les situer dans le temps. Savoir décrire sa famille et les liens familiaux. Etudier la santé et les sports.

GL 135 Communication Skills (2, 1, 2)
Introduction to communication. Communication in organisations. Listening skills. Note-taking and note-making. Reading skills. Writing skills. Avoiding common grammatical errors.

GL 137 Field Trip - Reverse Circulation Drilling (0, 1, 1)
Field trip to reverse circulation drilling operation: students will be expected to present reports to be assessed for credits.

YEAR ONE SEMESTER TWO
GL 122 Statistics and Probability (2, 1, 2)
Collection of data, descriptive analysis of data. Numerical descriptive measures - measures of central tendency, the mean, median and mode. Measures of dispersion - the range, the mean, deviation, the variance or standard deviation, the coefficient of variation, measurement of positions and shapes.

Events, sample space, definition of measure of probability of events, conditional probability and independent events, some basic laws and rules in probability, Bayes’ theorem, permutation and combination, probability distribution.

GL 124 Strength of Materials (2, 1, 2)
Mechanical properties of materials, simple stresses, temperature stresses, shear stresses, torsional shear stresses, beams; shear force and bending moments, bending stress in beams deflection beams, complex stresses, two dimensional stress, Mohr’s stress circle.

GL 126 Mineralogy and Petrology (2, 2, 3)
Crystallography: formation, classification, description of crystals; seven crystal systems, stereographic projections, twinned crystals. Physical properties of minerals.
Classification of minerals. Mineral Chemistry. Polymorphism, pseudomorphism, noncrystalline minerals.

Sedimentary rock formation, composition, classification, textures and description. Igneous Rock formation, composition, structures, textures and description. Metamorphic Rocks: factors and types of metamorphism, metamorphic zones and facies. Textures and structures. Classification, description and study of important metamorphic rocks.

GL 128 Introduction to Computing (2, 1, 2)
Introduction to computers, windows operating system, internet usage, word processing using MS word, spreadsheet using MS excel.

GL 130 Hydraulic Systems (2, 2, 3)
Basic principles of hydraulics (hydrostatic and hydrodynamics), properties of hydraulic fluids, filters and filtration, hydraulic pumps (construction, sizing and selection), control of hydraulic systems, actuators (linear and rotary), hydraulic reservoirs and accumulators, seals and packing, hydraulic pipes, hoses, and fittings, basic hydraulic circuits; hydraulic system maintenances, repairs and reconditioning.

GL 132 Water Well Drilling (2, 1, 2)
Well types, well drilling methods, environmental consideration, siting of drill holes, casings, methods and techniques of water well development, problems associated with water well supplies, types of hand pumps, preparation of concrete pad, design of screen types for basement formation, water level testing, mechanised borehole.

GL 134 Technical Report Writing and Presentations (2, 1, 2,)
Elements of technical writing. Writing of curriculum vitae (CV), minutes and reports. Career skills. Email communication. Presentation skills.

GL 136 Basic French II (1, 1, 1)
Les déplacements (I). Les déplacements (II). Les achats. Etudier la vie universitaire. Etudier l’art culinaire.

GL 138 Field Trip - Water Well Drilling (0, 1, 1)
Field trip to water well drilling operation. Students will be expected to present reports upon which they will be assessed for their credits.

YEAR TWO SEMESTER ONE
GL 221 Percussive Rock Drilling (2, 1, 2)
Introduction to rotary air blast drilling. Tools for rotary drilling, hydraulic rock drills: top hammer and DTH, pneumatic rock drills, principle of percussive drilling, setting parameters, and production drilling.

GL 223 Rig Maintenance (2, 3, 3)
Fault finding/inspection, diagnoses before repairs, minor repairs, major repairs, top overhaul, decarbonising and valve grinding, engine washing equipment, washing chemicals, engine, dismantling procedures, engine reconditioning, use of liners, wet liners installation procedures, dry liners installation and equipment, engine crankshaft reconditioning.

GL 225 Pneumatics (2, 1, 2)
Basic Thermodynamics, First Law and Second Law, non-flow and flow equations, application to closed and open systems, types of compressors; (reciprocating rotary, centrifugal and axial) drivers; accessories; lubrication system; control valves; actuators; piping, hoses and fittings; air tools; air filters and water separators; selection and siting compressors; air distribution system; safety and maintenance.

GL 227 Literature in English (1, 0, 1)
Introduction to literature. Analysis, interpretation and appreciation of literature: prose, drama and poetry. Selected texts (African and non-African classics).

GL 229 Elements of Mining and Rock Fragmentation (2, 2, 3)
Basic introduction to underground and surface mining terminologies: description of various operations in underground and surface mining - drilling, blasting, mucking, supporting, stoping, ventilation, benching, stripping, reclamation, including technology and equipment. Introduction to underground and surface mining methods; elements of mine ventilation; Sampling and resource evaluation; materials handling equipment; explosives - types of explosives, their properties and areas of use. Methods of ground fragmentation: drilling and blasting, environmental impact of mining.

GL 231 Hydrogeology (2, 1, 2)
The Hydrologic Cycle: precipitation, evaporation, runoff and stream flow measurements.
Properties of aquifers: porosity and permeability of various types of rocks. Groundwater recharge: hydrologic horizons, condensation theory, infiltration theory, aquifer types and properties, groundwater dynamics, hydraulic head, hydraulic gradient, Darcy’s law, hydraulic conductivity, flow lines and equipotential lines Well installation, drilling methods, well design, well development and aquifer tests

GL 233 Basic Electricity (2, 1, 2)
Circuit laws. Electrostatics and capacitance. Electromagnetism. Magnetic Circuits. Alternating Voltage and Current.

GL 235 Entrepreneurial Skills (2, 1, 2)
Introduction to Business Entrepreneurship: Forms of business ownership. Financial management. Insurance. Industrial relations and Labour relations.

GL 237 Field Trip - Core Drilling (0, 1, 1)
Field trip to Core Drilling Operation: students will be expected to present reports upon which they will be assessed for their credits.

YEAR TWO SEMESTER TWO
GL 222 Rock and Soil Mechanics (2, 2, 3)

Scope of rock mechanics. Rock strength and deformability. Engineering rock mass classification. Excavation support systems. Determination of moisture content, density, porosity, RQD and UCS. Origin and classification of soils. Phase relationships. Permeability of soils. Compaction of soils. Site investigation. Determination of moisture content, Atterberg limits. Particle size analysis, soil density, constant and falling head permeability.

GL 224 Orientation Drilling (1, 3, 2)
Mechanical hole making methods, cable tool drill string components, types of cable drill rigs, rotary drilling, auger drilling, prime movers, cable tool operation.

GL 226 Project Work (1, 8, 3)
Data obtained either during the previous industrial attachment or from elsewhere is processed and analysed/interpreted and presented as project work.

GL 228 Rock and Mineral Deposits of Ghana (2, 2, 3)
Processes of formation of mineral deposits. Magmatic concentration of deposits. Alteration, hydrothermal and replacement deposits. Sedimentary and residual deposits and supergene enrichment. Mineral fuels and traps. Industrial Mineral formation and properties. Classification of the various non-metallics and aggregates in Ghana.
Statigraphy of the Birimian. Proterozoic ganitoids. Distribution, origin of gold, manganese, etc. in the Birimain and Tarkwaian. Dahomeyan, Togo, Buem and Voltaian Systems. Accraian and Sekondian Series.

GL 230 Seminar (1, 3, 2)
Students are either given current topics on drilling operations or are made to discuss and present an update of their project works at a forum.

GL 232 Managerial Skills (2, 1, 2)
Introduction to management. Planning and organising. Case studies to demonstrate the concept of management in industry.

GL 234 Training on Oil Rig (1, 1, 1)
Components of oil rigs, oil drilling techniques, overview of site preparation and drilling, removal of drill pipe, casing, dangers of oil drilling, safety measures at drilling site, technical services, oil spills and environmental concerns.

GL 236 Environmental Management (2, 1, 2)
Waste generation, land pollution, air and water pollution, noise pollution, green house effect, ozone depletion, solid waste management, water resource management, land rehabilitation.


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Mathematics

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The Mathematics Department currently runs a four-year Bachelor of Science (BSc) degree programme. The programme is designed to provide students with a firm grounding in the concepts of Mathematics and related courses to meet the requirements of educational institutions and industry. A graduate from the department is expected to have a broad knowledge in a fairly large area in Mathematics/Statistics and their applications.

The Mathematics Department has qualified and experienced lecturers. Presently, the academic staff comprises one Associate Professor, one Senior Lecturer, two Lecturers, three Technical Instructors and an Adjunct Professor. The department’s research interests are in the areas of Optimisation, Curve Fitting, Fluid Dynamics and +Mathematical/Statistical Modelling, amongst others.
The Mathematics Department at UMaT should be the preferred choice of candidates desirous of studying and applying Mathematics in their everyday life because of the wide range of subjects covered. The successful graduate will find employment in the Banking and Financial sectors, Mining and allied industries, Educational and Research institutions, just to mention a few.

 


Mathematics

Programmes Offered:

Mathematics BSc


Department Contact Information
Department:
  Mathematics
Phone Number:
  +233 (0) 362 21139
Postal Address:
  P O Box 237, Tarkwa, Ghana
Email Address:
  This email address is being protected from spambots. You need JavaScript enabled to view it.
Website:
  http://www.umat.edu.gh

Programme Description

The 4-year BSc programme aims at providing knowledge of the engineering properties of earth materials, mineral deposits, and groundwater resources. The exploitation of these resources can impact the environment so the programme gives serious considerations to such issues through a well-balanced curriculum between geology, groundwater, engineering and the environment.


Programme Admission Requirement BSc
For admission, candidates must have:

1. Passes in THREE CORE SUBJECTS at Senior High School (SHS) LEVEL in English, Mathematics, and Integrated Science AND passes in THREE SCIENCE ELECTIVES in Physics, Chemistry and Mathematics.
OR
2. Passes in the GCE ORDINARY-LEVEL in English, Mathematics, Physics, Chemistry and Mathematics and GCE ADVANCED Level passes in Physics, Chemistry, and Mathematics.

WASSCE-SSSCE Conversion

YEAR ONE
SEMESTER ONE
Course No. Subject T P C
MA 151
MA 155
MA 157
MA 159
MA 171
MA 173
MA 175
Applied Electricity
Technical Drawing
Communication Skills I
Introduction to Computing
Trigonometry and Coordinate Geometry
Vector Analysis
Basic Linear Algebra
2
2
2
1
2
2
2
2
2
1
3
1
2
1
3
3
2
2
2
3
2
Totals
13 12 17
 
YEAR ONE
SEMESTER TWO
Course No. Subject T P C
MA 156
MA 158
MA 170
MA 172
MA 174
MA 176
MA 178
Engineering Drawing
Communication Skills II
Discrete Mathematics
Calculus of a Single Variable
Higher Linear Algebra
Probability and Statistics I
Vector Applications
2
2
2
2
2
2
2
2
1
1
2
1
2
1
3
2
2
3
2
3
2
Totals
14 10 17

 

YEAR TWO
SEMESTER ONE
Course No. Subject T P C
MA 251
MA 271
MA 273
MA 275
MA 277
MA 279
Literature in English I
Calculus of Several Variables
Real Analysis I
Numerical Methods
Probability and Statistics II
Basic Physical Chemistry
1
2
2
2
2
2
1
2
2
2
2
2
1
3
3
3
3
3
Totals
11 11 16
 
YEAR TWO
SEMESTER TWO
Course No. Subject T P C
MA 252
MA 270
MA 272
MA 274
MA 276
MA 278
Literature in English II
Differential and Integral Calculus
Real Analysis II
Ordinary Differential Equations
Numerical Methods and Scientific Computing
Physics I
1
2
2
2
2
2
1
2
2
2
2
2
1
3
3
3
3
3
Totals
11 11 16
 
YEAR THREE
SEMESTER ONE
Course No. Subject T P C
MA 371
MA 373
MA 375
MA 377
MA 379
MA 381
Physics II
Linear Partial Differential Equations
Regression Analysis
Numerical Methods for Ordinary Differential Equations
Elements of Topology
Statistical Modelling
2
2
2
2
2
2
2
2
2
2
2
2
3
3
3
3
3
3
Totals
12 12 18
 
YEAR THREE
SEMESTER TWO
Course No. Subject T P C
MA 352
MA 372
MA 374
MA 376
MA 378
MA 380
Public Relations
Special Mathematical Functions
Elements of Abstract Algebra
Optimization Techniques
Complex Analysis
Statistical Inference
2
2
2
2
2
2
1
2
2
2
2
2
2
3
3
3
3
3
Totals
12 11 17

 

YEAR FOUR
SEMESTER ONE
Course No. Subject T P C
MA 451
MA 457
MA 461
MA 471
MA 473
MA 000
MA 000
Economic Development Planning
Law of Contract and Torts
Principles of Economics
Introduction to Geophysics
Sample Survey Theory
* Elective
* Elective
2
2
2
2
2
2
2
1
0
0
1
2
2
2
2
2
2
2
3
3
3
Totals
14 8 17
* Electives: Students are to select any two of the following
* MA 475 Mathematical Economics I
* MA 477 Time Series and Forecasting I
* MA 479 Optimization Techniques
* MA 481 Computer Appreciation (Visual Basic and C++)
YEAR FOUR
SEMESTER TWO
Course No. Subject T P C
MA 454
MA 450
MA 452
MA 470
MA 000
MA 000
Business Entrepreneurship
Project Work
Colloquium/Seminar
Design and Analysis of Experiments
* Elective
* Elective
2
0
0
2
2
2
1
12
4
2
2
2
2
4
1
3
3
3
Totals
8 23 16
* Electives: Students are to select any two of the following:
* MA 472 Mathematical Economics II
* MA 474 Time Series and Forecasting II
* MA 476 Mathematical Programming
* MA 478 Programming in C/C++ and Java.

 

DETAILED COURSE DESCRIPTION

YEAR ONE SEMESTER ONE

MA 151 Applied Electricity (2, 2, 3)
Circuit laws. Circuit theorems. Electrostatics. Electromagnetic. Magnetic circuits. Inductance. Alternating voltage and current. Signal waveforms. Introduction to transformers, DC machines, Induction Machines and Synchronous machines.

MA 155 Technical Drawing (2, 2, 3)
Lettering with inclined and vertical strokes. Word spacing and compositions. Construction of lines. Angles. Regular polygons and general loci. Descriptive Geometry. First and third angle orthogonal projections. Dimensioning, limits, fits and tolerance.

MA 157 Communication Skills I (2, 1, 2)
Oral and written communication skills. Ability to express ideas in good English. Correction of common deficiencies in English grammar. Comprehension and critical reading skills.

MA 159 Introduction to Computing (1, 3, 2)
Introduction to PCs. Windows operating system. Internet usage. Word Processing using MS word. Spreadsheet using MS excel. Programming using visual basic applications (VBA).

MA 171 Trigonometry and Coordinate and Geometry (2, 1, 2)
Principles of induction. Indices. Logarithms. Surds. Polynomials. Rational functions. Partial fractions. Sequences and finite series. Binomial theorem for a positive integral index. Trigonometric functions: addition and factor theorems, circular measure. Equations of lines and circles. Conic sections: Parabola, ellipse and hyperbola. Parametric representation of curves. Hyperbolic functions.

MA 173 Vector Analysis (2, 2, 3)
Vectors in Euclidian spaces, especially in dimensions 1, 2, and 3. Positive vector. Dot product (scalar product). Cross product (vector product). Composition and resolution of vectors. Vector equation of a line. Vector equation of a plane. The straight line and the plane. The angle between a line and a plane. The angle between two lines and between two planes. Scalar triple products.

MA 175 Basic Linear Algebra (2, 1, 2)
Matrix algebra. Systems of linear equations. Algebra of linear transformations and their representation by matrices. Eigenvalues and eigenvectors. Similar matrices. Cayley – Hamilton’s theorem. Diagonalisation of symmetric positive – definite matrices.

MA 156 Engineering Drawing (2, 2, 3)
Sectional views and standard conventions of sectional views. Curves of intersection of various planes and solids. Development of various solids like cylinders and spheres. Assembly drawings from both exploded view and working drawing views.

MA 158 Communication Skills II (2, 1, 2)
Communication skills. Oral presentation. Formal speech making. Conducting interviews and meetings. Communication process. Skill in communication. Channels in communication in an organization. Preparation of official documents such as letters, memos, reports, minutes and proposals.

MA 170 Discrete Mathematics (2, 1, 2)
Multinomial coefficients. Complex numbers. De Moivre’s theorem. Finite difference equations. The z-transform approach to solution. Difference equations with characteristic polynomial which have complex roots. Boolean algebra. Basic Boolean functions. Digital logic gates. Minterm and maxterm expansions. Elements of proof theory. Relations in a set. Partial ordering. Zorn’s lemma.

MA 172 Calculus of a Single Variable (2, 2, 3)
Limits. Differentiation of a composite function. Implicit differentiation. Maxima and minima. Integration as the inverse of differentiation. Application of integration to: trigonometry, polynomials, hyperbolic and exponential functions, areas and volumes. Integration techniques: integration by substitution, by parts and by resolution into partial fractions.

MA 174 Higher Linear Algebra (2, 1, 2)
Vector spaces and subspaces. Basis dimension and coordinates. Change of basis. Annihilating polynomial. Linear functional, Dual spaces. Multi-linear forms. Inner product spaces. Orthogonalisation process. Hermitian, bilinear and quadratic forms. Reduction to a canonical form. Unitary and normal transformations.

MA 176 Probability and Statistics I (2, 2, 3)
Introduction to study of statistics: general introduction to the nature and use of statistics and some basic concepts. Descriptive analysis of data: graphical and tabular representation of data. Calculation of measures of central tendency and dispersion. Coefficient of skewness and kurtosis. Probability: definition of some basic terms. Permutation and Combinations. Definition of measure probability of events. Conditional probability and independence. Events. Some basic laws and rules in probability. Bayes’ theorem.

MA 178 Vector Applications (2, 1, 2)
Vector mechanics: Statics and Dynamics. Velocity, momentum and moments. Equilibrium and conservation laws. Introduction to vector-valued functions. Differentiation of vector-valued functions. Cartesian tensors and their transformations. Coordinate-free definitions of gradient, curl and divergence. Scalar and vector potential. Notion of orthogonal curvilinear coordinates and bases.

MA 251 Literature in English I (1, 1, 1)
Introduction to literary terms and devices. Specific texts: prose, drama, poetry. Vocabulary and language use. Literature as a reflection of contemporary way of life or society (the text as mirrors). Literature and morality (the text as examples). Literature as a form of entertainment. African Writers Series.

MA 271 Calculus of Several Variables (2, 2, 3)
Partial differentiation of a function of several variables. Differentiation of implicit functions. Jacobians. Differentiation of a vector functions of several variables. The tangent vector. Curvilinear co-ordinates. Plane polar, cylindrical and spherical co-ordinates. Multiple integrals. Line integrals, multiple, surface and volume integrals.

MA 273 Real Analysis I (2, 2, 3)
Introduction to the theory of real numbers. Least upper bound, greatest lower bound of a set. Convergence of sequences. Upper and lower limits. The Bolzano-Wierstrass theorem and the Cauchy principles of convergence. The notion of a function, limit and continuity. Inverse and composite functions.

MA 275 Numerical Methods (2, 2, 3)
Sources and types of error; round-off errors, truncation error, Basic error analysis. Evaluation of functions. Numerical solution of non-linear algebraic equation; one-point methods; simple iteration, secant and Newton-Raphson methods. Acceleration and relaxation. Bracketing methods; Bisection and false-position methods. Numerical solution of sets of linear algebraic equations: elimination back substitution. Matrix inversion. Instabilities and pivoting. Gaussian elimination. Iterative methods for linear systems: Gauss-Jacobi, Gauss-Siedel and successive over relaxation (SOR). Convergence and error analysis. Order of an iterative process. Use of computer essential.

MA 277 Probability and Statistics II (2, 2, 3)
Random variables and probability distributions: expectations and variances of random variables, properties. Moments and moment generating functions. Some special discrete distributions: Bernoulli, binomial, geometric, negative binomial, Poisson and multinomial distributions. Some special continuous distributions: uniform, exponential, Gaussian, gamma, beta, chi-squared and other related distributions. Joint probability distributions: properties, marginal and conditional distributions. Conditional mean and variance.

MA 279 Basic Physical Chemistry (2, 2, 3)
Atomic theory, Bonding and Periodicity. Properties of gases, solids and liquids. Chemical equilibrium, Ionic equilibrium, Radioactivity.

MA 252 Literature in English II (1, 1, 1)
Reading and appreciation. Literary terms. Specific texts: prose, drama, poetry. Vocabulary and language use. Literature as a reflection of contemporary way of life or society (the text as mirrors). Literature and morality (the text as examples). Literature as a form of entertainment. Shakespearean and modern classics.

MA 270 Differential and Integral Calculus (2, 2, 3)
Improper integrals. Integrals depending on a parameter. Differentiation and Integration under the integral sign. Gamma and beta functions; Stirling’s formula. Basic properties and use of the Laplace transform. Fourier series and orthogonal functions: Lengendre polynomials and Bessel functions. Fourier transforms. Calculus of Cartesian tensors.

MA 272 Real Analysis II (2, 2, 3)
Differentiation and integration of vector functions of a real variable. Simple applications. Numerical series and convergence test. Functions series. Functions of many variables, continuity, and partial differentiation. Totals differential, tangent plane to a surface. Taylor’s theorem. Extrema.

MA 274 Ordinary Differential Equations (2, 2, 3)
Ordinary differential equations of first order: Separable, Homogeneous, Linear, Exact. Integrating factors. Linear differential equations of the second order with constant coefficients. Systems of first order equations. Solution of ordinary differential equations of second order using methods of variation of parameters. Reduction of nth order equation to a system of first order equations. Series solution of differential equations. D-operator methods for particular integrals. Laplace transforms and application to solution of differential equations.

MA 276 Numerical Methods and Scientific Computing (2, 2, 3)
Flowcharts and algorithms. The structure and details of one of FORTRAN or Basic. Practical solutions of problems using a computer.

MA 278 Physics I (2, 2, 3)
Principles of Newtonian mechanics, single particle under the action of variable forces (F (x), F (t), F (v)). Motion in 1-dimention. Potential energy. Stable, unstable and neutral equilibrium. Free, damped and forced harmonic oscillator. Resonance. Motion in 2, 3 dimensions. Force fields. Conservation theorem of energy. Linear and angular momentum. Central forces. Effective potential. Kepler’s laws and planetary motion. 2-3 dimensional harmonic oscillators. General theorems on the motion of a system of particles with applications to the motion of a rigid body. Variational principles. Lagrange and Hamilton’s equations. Normal coordinates.

MA 371 Physics II (2, 2, 3)
Continuum mechanics: Lagrangian and Eulerian description of motion. Equation of continuity. Deformation: deformation gradient tensors. Strain tensors. Stress tensors. Cauchy’s equations of motion or conservation of momentum. Hook’s law for elastic media strain-rate tensor. Newtonian viscosity. Viscous flow. Navier-Stokes equations. Simple examples. Bernoulli’s flow in 2 dimensions. Complex potential. Blasuis theorem, Milne-Thompson theorem. Waves. Electrostatics: law of force, electric potential. Electric field equations (including point and dipole sources), boundary conditions and Gauss’ law in vacuo and in dielectric media.

MA 373 Linear Partial Differential Equations (2, 2, 3)
Definition of a partial differential equation of the first order. Cauchy problem and its characteristics. Method of Lagrange. Classification of second order equations (parabolic, hyperbolic, elliptic). Laplace’s and Poisson’s equations. Separation of variables. Fundamental solution of potentials and their properties. The wave and heat equations. Method of eigenfunction expansions.

MA 375 Regression Analysis (2, 2, 3)
Basic concepts of regression and correlation analysis. Simple regression model: estimation of regression coefficients and error variance. Inferences about the regression coefficients. Coefficient of determination. Multiple regression model: Some basic concepts and results of matrices and vectors. Expectation and covariance matrix for linear combination(s) of random variables. Estimation of the multiple regression model by the least squares method. Inference about regression coefficients using analysis of variance. Concepts of multi-collinearity and the use of dummy or qualitative variables. Residual analysis: testing regression model assumptions.

MA 377 Numerical Methods for Ordinary Differential Equations (2, 2, 3)
Methods for first-order differential equations: Taylor’s method, Euler methods, Runge-Kutta methods, multi-step methods. Methods for higher-order differential equations: Taylor’s, Euler and Runge-Kutta methods.

MA 379 Elements of Topology (2, 2, 3)
The concept of a topology: open sets, closed sets, interior, closure, derived sets and boundary of a subset. Continuous mapping. Metric spaces. Uniformly continuous mapping homeomorphism. Dense sets. Separable spaces. Connectedness. Compactness.

MA 381 Statistical Modelling (2, 2, 3)

Statistical inference: basic concepts of statistical inference, sampling distributions. Introduction to sampling methods. Sampling distributions of sample means. Proportions and variances. Estimation: point and interval estimation of parameters (mean, proportion and variance). Analysis of variance test for several means. Non-parametric tests: introduction, chi-square tests, test for randomness, Mann-Whitney U-test, Wilcoxon signed rank test, Kruskal-Wallis and Fried’s tests and sign test.

MA 352 Public Relations (2, 1, 2)
Reading and appreciation. Literary terms. Specific texts: prose, drama, poetry. Vocabulary and language use. Literature as a reflection of contemporary way of life or society (the text as mirrors). Literature and morality (the text as examples). Literature as a form of entertainment. Shakespearean and modern classics.

MA 372 Special Mathematical Functions (2, 2, 3)
Series solution of certain linear differential equations of second order (example Legendre’s equation and Bessel’s equation). Special functions: Legendre polynomials. Bessel functions, Hermit and Chebychev polynomial, Laguerre and hypergeometric functions. Gamma and beta functions: Sterling’s formula, asymptotic expansions. The method of steepest descent. The method of stationary phase. Recurrence relation. Watson’s Lemma. The error function. The exponential integral.

MA 374 Elements of Abstract Algebra (2, 2, 3)
Rings and fields: Definitions, examples and properties. Polynomial rings. Euclidean algorithms. Ideal and quotient rings. The homomorphism theorems. The field of quotients of an integral domain. Principal ideal domains. Factorization in principal ideal domain. Groups. Examples of groups such as cyclic groups. Groups of permutations and dihedral groups. Subgroups, cosets and Lagrange’s theorems for groups.

*MA 376 Optimization Techniques (2, 2, 3)
Description of the problem of optimization and geometry of Rn, n>1. Convex sets and convex functions. Solution of systems of algebraic and transcendental equations. Matrices. Farkas lemma, gradient and Hessian of a function on Rn. Unconstrained and constrained problems in Rn. Derivative of subjective function available or unavailable, algorithms of Davies, Swann and Campey (DSC), Powell and Goggin (DSC-Powell). Simultaneous search and sequential algorithms. Constrained linear problems in Rn, n>1.

MA 378 Complex Analysis (2, 2, 3)
Algebra of complex numbers. Convergence of series. Uniform convergence of sequences and functions. Power series. Functions defined by power series. Analytical functions. Differentiation. Cauchy-Riemann equations. Cauchy’s theorem. Cauchy’s integral formulae. Harmonic functions. Conformal mapping. Calculus of residues. Elements of analytical continuation. Maximum modulus principle. Rouche’s theorem and fundamental theorem of algebra.

MA 380 Statistical Inference (2, 2, 3)
Estimation: Properties of point estimators. Uniformly minimum variance estimators. Cramer Rao lower bound. Sufficient statistics. Likelihood functions and methods of estimation. General methods of interval estimation. Means and variances of normal distributions, properties. Tests of hypotheses: Power and operating characteristic curves. Sample size estimation: Neyman-Pearson lemma. Likelihood ratio tests and applications.

MA 451 Economic Development and Planning (2, 1, 2)
Theories and concepts of development. Foreign aid, grants and investment. Techniques of economic development planning. Third world and economic development planning (case studies). Planning periods in Ghana.

MA 457 Law of Contract and Torts (2, 0, 2)
Law and the legal system. Contract and conditions for valid contracts. Contracts and business organizations. Abrogation of contracts.

MA 461 Principles of Economics (2, 0, 2)
Introduction to microeconomics. Demand and supply and price theory. Elasticities. Economics of scale. Optimal input combinations and cost functions. Perfect competition, monopoly, imperfect competition (monopolistic competition, oligopoly, cartel, etc).Business organization and securities. Introduction to macroeconomics. Functions of government. Measurement of national output and income. Money and banking. Unemployment and inflation.

MA 471 Introduction to Geophysics (2, 1, 2)
Geosphere. General geophysics and physics of the earth: Structure and origin of the earth. The continental and oceanic crusts. The mantle and core of the earth. Terrestrial heat flow. Continental drift and ocean floor spreading. Introduction to exploration geophysics.

MA 473 Sample Survey Theory (2, 2, 3)
Introduction: Basic ideas of sampling. Sampling techniques: simple random, stratified, systematic, cluster and multistage. Regression and ratio estimations. Errors in surveys.

*MA 475 Mathematical Economics I (2, 2, 3)
Microeconomic theory is treated with a mathematical approach. Topics will include the following: theory of consumer behaviour, constrained optimizing behaviour. The Slutsky equation, construction of utility number. Theory of the firm. Constrained optimizing behaviour, CES production function, market equilibrium with lagged adjustment and continuous adjustment. Multi market equlibruim. Pareto optimality. General economic optimization over time. Linear models. Input-output (I-O) models, Linear programming concepts and solutions.

*MA 477 Time Series and Forecasting I (2, 2, 3)
Basic concepts: definitions, basis of time series analysis, types of time series. Components of time series: Trend, seasonality, cyclic variations, etc. Trend analysis: moving averages, exponential smoothing, autoregressive and partial autoregressive functions. Use of SPSS.

*MA 481 Computer Appreciation (2, 2, 3)
Development of window-based mathematical application software, using one of visual basic or visual C++.

* Elective

MA 454 Business Entrepreneurship (2, 1, 2)
Forms of business organization. Management of business enterprises. Budget preparation process. Management of working capital. Investment in assets.

MA 450 Project Work (0, 12, 4)
Students select topics on various areas in Mathematics for their project work.

MA 452 Colloquium/Seminar (0, 4, 1)
Students will prepare a paper on a selected topic and present it in a seminar under supervision.

MA 470 Design and Analysis of Experiments (2, 2, 3)
Objectives and definitions. Role of randomization and replication. Experiments involving paired data. Fixed effects, random effects and mixed effects models. Analysis of variance (ANOVA). Special design: Completely randomized design (CRD); assumption, randomization, multiple comparisons, estimation of parameters, unequal sample sizes; randomized complete block design (RCBD), estimation and effects of missing observation, relative efficiency. Latin Square and Pair-Wise orthogonal Latin square design. Split-plot design. Analysis of covariance (ANACOVA). Factorial experiments, rules of calculation of mean square and expected mean square and tests of significance, confounding, fractional replication.

*MA 472 Mathematical Economics II (2, 2, 3)
Micro-economic theory is treated with a mathematical approach in the following areas: Simple model of income determination, consumption and investment, the IS curve. Monetary equilibrium, the LM curve. Labour wages and price (inflation) models. Full employment equilibrium models of income determination. Aggregate demand and supply analysis. Balance of trade (payments), model of income determination. Stabilization policy, comparative statistics, analysis of monetary fiscal policy, the Harold Domar growth model, the neo-classical growth model. (Prerequisite MA 479).

*MA 474 Time Series and Forecasting II (2, 2, 3)
Time series models: moving average, autoregressive, autoregressive integrated moving average, autoregressive moving average. Box-Jenkins method of modeling time series data. Forecasting: prediction limits, forecast updating, Holt-Winter’s methods. Use of SPSS.

*MA 476 Mathematical Programming (2, 2, 3)
Linear programming in Rn, n>1. Duality theorem and complementary slackness principle. Elements of unconstrained and constrained non-linear programming in Rn, n>1. Network analysis, inventory control, queuing theory, simulation and game theory. Linear programming and solution methods (graphical and simplex). Application of linear programming to transportation assignment problems.

*MA 478 Programming in C/C++ and Java (2, 2, 3)
Development of mathematical and other application software using C/C++ and Java.

*Elective.

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