Knowledge Areas

Engineering Surveyor (Technologist)

Mathematics, Applied Mathematics and Statistics

Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor series, mean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic functions, conic sections, complex numbers, vector geometry, matrix algebra, space curves and surfaces, intersection of lines/planes, distance from points to lines/planes. Basic statistics, including sets, probability, permutations and combinationsmean, standard deviation and normal distribution. Euclidean and analytical geometry, trigonometric identities, laws of sines and cosines, proportion, co-ordinate systems, areas and volumes.

Total Credits: 48

Physics

Newton'€™s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum, Optics

Total Credits: 12

Surveying

Measurement science, distance measurement (optical, mechanical and electro-optical), angular measurement, measuring equipment (distance and angular, including sources and management of instrument errors, calibration and expected precision), spatial reference systems, distance and direction from coordinates, position determination using observed angles/directions, distances, or combinations of these, and Satellite Navigation Systems, setting out of pre-determined positions, heighting, areas, volumes, interpretation of maps/plans, design and setting out of horizontal and vertical curves, cross and longitudinal sections, cut and fill calculations, preparation of maps/plans,\n2-D coordinate transformations, control surveys, topographic surveys.

Total Credits: 60

Information Technology

Introduction to computer hardware, operating systems, data communications (local and wide area cover networks), word processing, spreadsheets, internet, software development (scientific/engineering) in a current programming language, databases and database management systems, use of information technology in surveying, 2-D CAD, security of systems and information. Spreadsheet design and formatting

Total Credits: 24

Geo-spatial Information Science

Nature of geo-spatial information, geo-spatial information in planning and decision-making, components of a GIS, data acquisition and manipulation, data structures (including vector, raster, hybrid), data modelling, geo-spatial databases and DBMS, applications of geo-spatial data using spatial analysis, spatial modelling and spatial statistics, visualisation and representation of geo-spatial information (including digital cartography).

Total Credits: 18

Photogrammetry and Remote Sensing

Electro-magnetic energy in remote sensing, earth satellite orbits, geometry of sensors and sensor systems (airborne, spaceborne and terrestrial), camera calibration, acquisition of images (including flight planning), image media and formats incl. image compression, principles of analogue and digital photography, ortho- rectification, mosaicing and georeferencing, digital elevation models . Ground Control, Laser scanning, photogrammetric measurement and data processsing including geometry of images, relative and absolute orientation, 3D resection,\n3D intersection, bundle adjustment and aero triangulation . Determination of 3-D coordinates in close-range photogrammetry. Accuracy and reliability assessment of photogrammetrically derived data, image (photo) interpretation , image processing (including image enhancement, image feature extraction, classification). creation of 3D computer model of landscapes settlements and buildings. Virtual globes

Total Credits: 24

Coordinate Systems and Map Projections

Two- and three-dimensional coordinate systems, grid reference systems, shape of the Earth, mathematical representations of the Earth, (including reference ellipsoids) geographical coordinates, different types of map projections, Including mathematical modles and projection properties), reference datums and common ellipsoids, SA Survey co-ordinate system and UTM system. Projection-to-projection transformations

Total Credits: 18

Adjustments and Error Theory

The nature of observations and data acquisition, types of errors, means, norms ,accuracy, precision, reliability, probability, confidence intervals, distributions and probability density functions, auto- and cross-correlation, hypothesis testing, least squares theory, simple and multiple regression, distribution functions, law of error propagation, least squares adjustments of survey observations( paramatric and condition equation case)

Total Credits: 24

Earth and Envionmental Science

Aastronomical geography, geomorphology, climatology, South African geography, structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment. Water management, Environment impact assessment, Environment management costing

Total Credits: 18

Business and Project Management

Management functions (planning, controlling, organising, decision-making), human resource management, financial management and management accounting, marketing and client relations, labour legislation, taxation, project planning, costing, resource allocation, project control and reporting, business communication, report writing, contract law. Risk management and Health and Safety management

Total Credits: 12

Professional Practice and Ethics

Professionalism, professional ethics, different types of professional practices, structuring a practice, client relationships,social responsibility;Registration and SA Council for Professional and Technical Surveyors (including legislation and rules),

Total Credits: 12

Category Specific Project/Research

Report-Portfolio of evidence demonstrating practical skills: Triangulation / GPS, Levelling, Traversing, Computer\nApplications, Cadastral Surveying, Topographical Surveying

Total Credits: 36

Cadastral Studies and Land Tenure

South African cadastral survey system and the Land Survey Act and Regulations, curvilinear boundaries, registration systems, Deeds registration, conveyancing, division of land, consolidation of land, legislation applicable to land ownership and division of land, sectional titles (including Sectional Titles Act and Regulations). Work reservation and misconduct

Total Credits: 12

Satellite Surveying and Geodesy

Geodetic surveying, global positioning satellite systems, satellite orbits and orbital parameters, time systems, 3-D positioning.

Total Credits: 12

Precise Engineering Surveying

Setting out of tunnels , bridges, dams, tall buildings and industrial structures, including supervision and monitoring.

Total Credits: 24

3D Modelling/Cartography/Visualisation

Visual perception, graphicacy, cartographic communication (including information sense-making, information use and information-knowledge transformation), graphic space, symbology (point, line, area, pictorial, 3-D), colour, cartographic design, typonomy, generalisation, map use, multimedia mapping, 2-D and 3-D visualisation, interactive maps, Web maps, general purpose maps, relief representation, thematic maps (including statistical mapping), image maps, intellectual property rights and copyright, privacy rights, information economics, computer- assisted cartographic systems, map printing.

Total Credits: 6

Engineering Surveyor (Professional)

Mathematics, Applied Mathematics and Statistics

Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor\nseries, mean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic functions, conic sections, complex numbers, vector geometry, matrix algebra, linear transformations, space curves and surfaces, intersection of lines/planes, distance from points to lines/planes, differential geometry. series and polynomials. Basic statistics, including sets, probability, permutations and combinationsmean, standard deviation and normal distribution. To be added to allow for changes in matriculation syllabus: Euclidean and analytical geometry, trigonometric identities, laws of sines and cosines, proportion, co-ordinate systems, areas and volumes.

Total Credits: 60

Physics

Kinematics, Newton'€™s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum.

Total Credits: 24

Surveying

Measurement science, distance measurement (optical, mechanical and electro-optical), angular measurement, measuring equipment (distance and angular, including sources and management of instrument errors, calibration and expected precision), spatial reference systems, distance and direction from coordinates, position determination using observed angles/directions, distances, or combinations of these, and Satellite Navigation Systems, setting out of pre-determined positions, heighting, areas, volumes, interpretation of maps/plans, design and setting out of horizontal and vertical curves, cross and longitudinal sections, cut and fill calculations, preparation of maps/plans, 2\nD coordinate transformations, control surveys, topographic surveys. Inertial navigation systems.

Total Credits: 60

Information Technology

Introduction to computer hardware, operating systems, data communications (local and wide area cover networks), word processing, spreadsheets, internet, software development (scientific/engineering) in a current programming language, systems development (including systems analysis and design), databases and database management systems, use of information technology in surveying, 2-D CAD, security of systems and information.

Total Credits: 30

Geo-spatial Information Science

Nature of geo-spatial information, geo-spatial information in planning and decision-making, components of a GIS, data acquisition and manipulation, feature classification, data structures (vector, raster, hybrid), data modelling, geo-spatial databases and DBMS, applications of geo-spatial data using spatial analysis, spatial modelling and spatial statistics, visualisation, representation of geo-spatial information (including digital cartography).

Total Credits: 24

Photogrammetry and Remote Sensing

Earth radiation model and electro-magnetic spectrum, satellite orbits, geometry of sensors and sensor systems\n(airborne, spaceborne and terrestrial), camera calibration , acquisition of images (including flight planning), image media and formats incl. image compression, principles of analogue and digital photography, photogrammetric measuremnet and data processsing including geometry of images, relative and absolute orientation, 3D resection, 3D intersection, bundle adjustment and aeriel triangulation, ortho-rectification, mosaicing and georeferencing, digital elevation models . Determination of 3-D coordinates in close-range photogrammetry. Accuracy and reliability assessment of photogrammetrically derived data, image (photo) interpretation , image processing (including image enhancement, image feature extraction, classification). creation of 3D computer model of landscapes settlements and buildings. Virtual globes.

Total Credits: 36

Coordinate Systems and Map Projections

Two- and three-dimensional coordinate systems, grid reference systems, shape of the Earth, mathematical representations of the Earth, (including reference ellipsoids) geographical coordinates, different types of map projections, Including mathematical modles and projection properties) projection–to-projection transformations, reference datums and common ellipsoids, SA Survey co-ordinate system and UTM system.

Total Credits: 18

Adjustments and Error Theory

The nature of observations and data acquisition, types of errors, means, norms ,accuracy, precision, reliability, probability, confidence intervals, distribution and probability density functions, estimation, auto- and cross- correlation, hypothesis testing, least squares theory, simple and multiple regression, distribution functions, law of error propagation, least squares adjustments of survey observations( paramatric and condition equation case), network adjustment (including free networks), adjustment of coordinate transformations, design of survey networks, statistical analysis of results and interpretation of data, data filtering (incl. Kalman filter). General Combined case, combined case, parametric case with conditions, adjsutment of best fiiring geometry and 3D rigid body transformation, goodness of fit test, errors of type I and II.Deformation analysis models.

Total Credits: 36

Earth and Environmental Studies

Geomorphology, structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment.

Total Credits: 24

Business and Project Management

Management functions (planning, controlling, organising, decision-making), human resource management, financial management and management accounting, marketing and client relations, labour legislation, taxation, project planning, costing, resource allocation, project control and reporting, business communication, report writing, contract law.

Total Credits: 12

Professional Practice and Ethics

Professionalism, professional ethics, different types of professional practices, partnerships and partnership law, structuring a practice, client relationships, SA survey profession and SA Council for Professional and Technical Surveyors (including legislation and rules), social responsibility.

Total Credits: 12

Category Specific Project/Research

The research project must have a design and or analysis component and include reporting and presentation of final results

Total Credits: 36

Cadastral Studies and Land Tenure

Total Credits: 12

Satellite Surveying and Geodesy

Earth gravity field, earth rotation dynamics and reference systems, geocentric coordinate systems, gravity observations, geoidal studies, tidal effects, datum and datum shifts, geodetic surveying, global positioning satellite systems, satellite orbits and orbital parameters, time systems, 3-D positioning.

Total Credits: 24

Land Management and Planning

Total Credits: 12

Precise Engineering Surveying

Specialised instrumentation (including sources of errors, calibration and expected precision), precise engineering surveying methods, precise heighting methods, design and optimisation of networks, precision surveys for construction and industrial applications (including precision alignment), deformation surveys and monitoring, analysis and interpretation of results, presentation of results. Setting out of tunnels , bridges, dams, tall buildings and industrial structures, including supervision and monitoring.

Total Credits: 48

3D modeling/Cartography / Visualisation

Visual perception, graphicacy, cartographic communication (including information sense-making, information use and information-knowledge transformation), graphic space, symbology (point, line, area, pictorial, 3-D), colour, cartographic design, typonomy, generalisation, map use, multimedia mapping, 2-D and 3-D visualisation, interactive maps, Web maps, general purpose maps, relief representation, thematic maps (including statistical mapping), image maps, intellectual property rights and copyright, privacy rights, information economics, computer- assisted cartographic systems, map printing.

Total Credits: 12

Engineering Surveyor (Technician)

Mathematics, Applied Mathematics and Statistics

algrebra;trigonometry;calculus;complex numbers;co ordinate geometry;analytic geometry;matrices;determinants differentation:partial differentation,series;integrated solutions of first order differential equations;numerical methods;statistics.

Total Credits: 36

Physics

Vectors; Kinematics-linear and angular; Dynamics-Newton’s laws and applications, sliding and rolling friction; Work, power, energy, impulse and momentum; Elasticity; Hydrostatics; Fluids dynamics; Heat and heat transfer; Laws of Thermodynamics; Waves; Electricity-forces, fields and current circuits; Light; Optics-application in instrumentation

Total Credits: 12

Surveying

Theory and Principles of Surveying-Engineering Surveying; Maps-Plans; Units of measure; Coordinate systems; Basic survey instruments and their use and adjustments; traversing; tape surveying; levelling-cut and fill, gradients calculations; tacheometry; Solution of triangles;Area and Volume determination; survey computer applications; triangulation;resection;trilateration;satellite positioning;curves;advanced survey instuments and electronic data capture. Setting out of simple engineering structures

Total Credits: 54

Information Technology

Introduction to computers; Microsoft software packages; Drawing graphs;Introduction to CAD; Computer hardware;\ncomputer software; Communication skills

Total Credits: 18

Geo-spatial Information Science

Introduction to geospatial information systems;maps and types of maps;basic catographic design principles; visualisation;spacial interpolation

Total Credits: 18

Photogrammetry and Remote Sensing

Electro-magnetic energy in remote sensing, Earth satellite orbits, geometry of sensors and sensor systems (airborne, spaceborne and terrestrial), camera calibration, acquisition of images (including flight planning), image media and formats incl. image compression, principles of analogue and digital photography, Ground Control

Total Credits: 18

Coordinate Systems and Map Projections

2-D and 3-D coordinate systems; grid reference systems; shape of earth; different types of map projections; SA Survey coordinate system

Total Credits: 12

Adjustments and Error Theory

The nature of observations and data acquisition, types of errors, means, norms, accuracy, precision; Adjustment of a survey and levelling traverse

Total Credits: 12

Earth and Environmental Science

Total Credits: 12

Business and Project Management

Develop an ability to communucate effectivley within the built environment (writen communucation, spoken communication, communication in the workplace);office orgaisation and methods;contracts; theory of management

Total Credits: 6

Professional Practice and Ethics

Introduction to the Land Survey Act and Regulations; introduction to land ownership; professional ethics; Professional and Technical Surveyors Act and registration with PLATO.

Total Credits: 6

Category Specific Project/Research

Report-Portfolio of evidence demonstrating practical skills: Triangulation / GPS, Levelling, Traversing, Computer\nApplications, Cadastral Surveying, Topographical Surveying

Total Credits: 30

Cadastral Studies and Land Tenure

Total Credits: 6

GISc (Technician)

GSc: Geographical science

Ability to understand Geographical science as it relates to GISc.
GSc1: Area and spatial analysis (12)
Comprises the reading, analysis and interpretation of spatial information; Basic concepts and terminology. Broader understanding of what GIS is and what it involves. Historical perspective. Application fields. Understand different fields contributing and forming part of GISc. Components of a GIS. Functionality, analysis and processess involved.

GSc2: Earth and environmental science (12)
GIS in earth and environmental studies:
A combination of any of the following: Climatology, Geomorphology, Hydrology, Ecology structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment, development science and theory, urban systems and human settlement, population geography, Disasters (natural and manmade), sustainable development, natural environmental systems (water, atmospheric, oceanographic, fauna/flora etc.), tourism, conservation (natural or heritage), climate change.

Total Credits: 24

MS: Mathematics and statistics

Ability to apply mathematics and statistics in solving GISc related problems.

MS1 Mathematics: Introduction to higher mathematics and problem solving (24)
Differential and integral calculus of functions of one variable, partial derivatives, solving systems of linear and non-linear equations, trigonometric functions, conic sections, vector geometry, matrix algebra, linear transformations, differential geometry. Basic statistics: regression, distributions, error theory, correlation, sampling. including sets, probability, mean standard deviation.

Total Credits: 24

PS: Physical science

Ability to understand the principles of Physics in geomatics practice, instrumentation and technology related to GISc.

PS1 Kinematics, Newton’s laws of motion, Friction, Momentum, and work (12)
Kinematics, Newton’s laws of motion, work, energy, power, gravity, periodic motion, interference, diffraction, refraction and reflection of waves, electricity and magnetism, electromagnetic spectrum. Optics.

Total Credits: 12

AM: Analytical methods

Understand and apply different analytical methods related to GISc.

AM3: Geometric measures (9)
Distances and lengths; direction; shape; area; volume proximity and distance decay; adjacency and connectivity. Terrain Analysis.

AM4: Basic analytical operations (9)
Buffer; overlay; neighborhoods; map algebra.

Total Credits: 18

CF: Conceptual Foundation

Ability to work in a information technology environment.

CF1: Introduction to information technology (12)
Introduction to computer hardware, operating systems, data communications (local and wide area cover networks), word processing, spread sheets, internet, distributed systems, CAD, security of systems and data/information, data storage, data dissemination, spatial data integration (coordinate systems, projections, resembling rasters).

Total Credits: 12

CV: Cartography and visualization

Understand and apply cartography and visualization tecqniques.

CV2: Data considerations (8)
Source materials for mapping; Data abstraction: classification, selection, and generalization; Projections as a map design issue.

CV3: Principles of map design (8)
Map design fundamentals; Basic concepts of symbolization; Color for cartography and visualization; Typography for cartography and visualization; Visual perception, graphicacy, cartographic communication (including information sense-making, information use and information-knowledge transformation), graphic space, symbology (point, line, area, pictorial, 3-D), colour, cartographic design, typonomy, generalisation, map use, multimedia mapping, 2-D and 3-D visualisation, Web maps, general purpose maps, relief representation, thematic maps (including statistical mapping).

CV6: Map use and evaluation (8)
The power of maps; Map reading; Map interpretation; Map analysis; Evaluation and testing; Impact of uncertainty.

Total Credits: 24

DA: Design aspects

Understanding the design aspects of databases for geospatial data.

DA4 Database design (12)
Modeling: Conceptual model; Logical models; Physical models.

Total Credits: 12

DM: Data modelling

Understand DBMS and Data modelling.

DM2: Database management systems (4)
Co-evolution of DBMS and GIS; Relational DBMS; Object-oriented DBMS; Object-relational DBM; Extensions of the relational model.

DM3:Tessellation data models (4)
Grid representations; The raster model; Grid compression methods; Terrain models including the Triangulated Irregular Network (TIN) model; Resolution; Hierarchical data models.

DM4: Vector and object data models (4)
Geometric primitives; The spaghetti model; The topological model; Classic vector data models; The network model.

Total Credits: 12

DN: Data manipulation

Ability to implement data manipulation in a GISc environment.

DN1: Representation transformation (6)
Impacts of transformations; Data model and format conversion; Interpolation; Vector-to-raster and raster-to-vector conversions; Raster resampling; Coordinate transformations.

DN2: Generalization and aggregation (6)
Scale and generalization, caveats of generalising algorithms (Douglas-Peuker) and auto-snap-up routines; Approaches to point, line, and area generalization; Classification and transformation of attribute measurement levels; Aggregation of spatial entities.

Total Credits: 12

GC: Geocomputation

Understand basic computer programmes in a geographical information system.

GC10: Computer programming (12)
Algorithms; Standard query language (SQL); Scripting.

Total Credits: 12

GD: Geospatial data

Ability to demonstrate an understanding of working with Geospatial data.

GD1: Earth geometry (4)
Earth’s shape; geoid, spheres and ellipsoids.

GD3: Georeferencing systems (6)
Geographic coordinate system; Plane coordinate systems; Linear referencing systems. Two- and three-dimensional coordinate systems, grid reference systems, SA Survey co-ordinate system and UTM system.

GD4: Datums (2)
Horizontal datums; Vertical datums. Reference datums.

GD5: Map projections (6)
Map projection types and characteristics; Georeferencing; projection properties.

GD6: Data quality (6)
Primary and secondary sources, Geometric accuracy; Thematic accuracy; Logical consistency, Resolution; Precision; Metadata. Completeness and temporal quality. Digitsing and editing of data.

GD7: Land surveying, land law and GPS/GNSS (6)
Survey theory and electro-optical methods; Land law: South African cadastral survey system and the Land Survey Act and Regulations, registration systems.Global Positioning System (GNSS).

GD10: Aerial imaging and photogrammetry (6)
Principles of analogue and digital photography, photogrammetric measurement and data processing including geometry of images, relative and absolute orientation. Knowledge of photogrametric and satellite sensors, methods and products.

Total Credits: 36

GS: GI S&T and society

Ability to understand and apply professionalism, ethics and relevant legislation in the GISc environment.

GS6: Ethical aspects of geospatial information and technology (12)
Ethics and professionalism in the GISc practice; Codes of ethics for geospatial professionals; Codes of conduct in the GISc field. Legislation regulating the profession. Intellectual property rights and copyright, privacy rights.

Total Credits: 12

OI: Organizational and institutional aspects

Ability to operate safely and within the Geomatics Industry legal requirements.

OI5: Institutional and interinstitutional aspects (6)

Understanding of Spatial data infrastructures; Adoption of standards; Data transfer and exchange; Spatial data sharing among organizations; Data warehousing.

OI7: Business and project management (6)

Effective communication within the built environment (written and spoken communication, communication in the workplace); office organisation and methods; contracts; awareness of management theory,  marketing and client relations. Introduction to project management.

Total Credits: 12

RM: Research methodology

Ability to demonstrate technical proficiency in the application of relevant technologies and producing a related report.

RM1: Portfolio of evidence (8)

Technical Report-Portfolio of evidence demonstrating communication skills in the application of relevant competencies applied in the GISc field. 

Total Credits: 8

Credits for specialization

Select one but not more than three core KA's for specialization (10)

Total Credits: 10

Land Surveyor (Professional)

Mathematics, Applied Mathematics and Statistics

Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor series,\nmean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic\nfunctions, conic sections, complex numbers, vector geometry, matrix algebra, linear transformations, space curves\nand surfaces, intersection of lines/planes, distance from points to lines/planes, differential geometry. series and\npolynomials. Basic statistics, including sets, probability, permutations and combinationsmean, standard deviation\nand normal distribution. To be added to allow for changes in matriculation syllabus: Euclidean and analytical\ngeometry, trigonometric identities, laws of sines and cosines, proportion, co-ordinate systems, areas and volumes.

Total Credits: 60

Physics

Kinematics, Newton's laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum.

Total Credits: 24

Surveying

Measurement science, distance measurement (optical, mechanical and electro-optical), angular measurement,\nmeasuring equipment (distance and angular, including sources and management of instrument errors, calibration\nand expected precision), spatial reference systems, distance and direction from coordinates, position determination\nusing observed angles/directions, distances, or combinations of these, and Satellite Navigation Systems, setting out\nof pre-determined positions, heighting, areas, volumes, interpretation of maps/plans, design and setting out of\nhorizontal and vertical curves, cross and longitudinal sections, cut and fill calculations, preparation of maps/plans, 2-D coordinate transformations, control surveys, topographic surveys. Inertial navigation systems.

Total Credits: 60

Information Technology

Introduction to computer hardware, operating systems, data communications (local and wide area cover networks),\nword processing, spreadsheets, internet, software development (scientific/engineering) in a current programming\nlanguage, systems development (including systems analysis and design), databases and database management\nsystems, use of information technology in surveying, 2-D CAD, security of systems and information.

Total Credits: 30

Geo-spatial Information Science

Nature of geo-spatial information, geo-spatial information in planning and decision-making, components of a GIS,\ndata acquisition and manipulation, data structures (including vector, raster, hybrid), data modelling, geo-spatial\ndatabases and DBMS, , applications of geo-spatial data using spatial analysis, spatial modelling and spatial statistics,\nvisualisation and representation of geo-spatial information (including digital cartography).

Total Credits: 24

Photogrammetry and Remote Sensing

Earth radiation model and electro-magnetic spectrum, satellite orbits, geometry of sensors and sensor systems\n(airborne and satellite), camera calibration , acquisition of images (including flight planning), image media and\nformats incl. image compression, principles of analogue and digital photography, photogrammetric measuremnet\nand data processsing including geometry of images, relative and absolute orientation, 3D resection, 3D intersection,\nbundle adjustment and aero triangulatio+B1n, ortho-rectification, mosaicing and georeferencing, digital elevation\nmodels . Determination of 3-D coordinates in close-range photogrammetry. Accuracy and reliability assessment of\nphotogrammetrically derived data, image (photo) interpretation , image processing (including image enhancement,\nimage feature extraction, classification). creation of 3D computer model of landscapes settlements and buildings.Virtual globes

Total Credits: 36

Coordinate Systems and Map Projections

Two-dimensional coordinate systems, three-dimensional coordinate systems, grid reference systems, shape of the Earth, mathematical representations of the Earth (including reference ellipsoids), geographical coordinates, different types of map projection transformations, reference datums and ellipsoids, SA Survey co-ordinate system and UTM system.

Total Credits: 18

Adjustments and Error Theory

The nature of observations and data acquisition, types of errors, means, norms ,accuracy, precision, reliability,\nprobability, confidence intervals, distributions and probability density functions, auto- and cross-correlation,\nhypothesis testing, least squares theory, simple and multiple regression, distribution functions, law of error\npropagation, least squares adjustments of survey observations( paramatric and condition equation case), network adjustment (including free networks), adjustment of coordinate transformations, design of survey networks,\nstatistical analysis of results and interpretation of data.

Total Credits: 30

Earth and Environmental Science

Geomorphology, structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment.

Total Credits: 24

Business and Project Management

Management functions (planning, controlling, organising, decision-making), human resource management, financial\nmanagement and management accounting, marketing and client relations, labour legislation, taxation, project\nplanning, costing, resource allocation, project control and reporting, business communication, report writing, contract law.

Total Credits: 12

Professional Practice and Ethics

Professionalism, professional ethics, different types of professional practices, partnerships and partnership law, structuring a practice, client relationships, SA Council for Professional and Technical Surveyors (including legislation and rules), and social responsibility. (A minimum of 30% of the time must be spent on professionalism).

Total Credits: 12

Category Specific Project / Research

The reserch project must have a system design and or spatial analysis component and include reporting and presentation of final results. The time spend on research topic selection, research proposal, analysis and interpretation, progress reporting, and liaison with research supervisor must be a minimal of 300 hours.

Total Credits: 36

Cadastral Studies and Land Tenure

Land ownership and land tenure (including indigenous systems), rights in land (including servitudes, leases, statutory rights), nature and function of the cadastre, cadastral surveying systems, South African cadastral survey system and the Land Survey Act and Regulations, curvilinear boundaries, case law on boundaries, registration\nsystems, Deeds registration, conveyancing, division of land, consolidation of land, legislation applicable to land ownership and division of land, sectional titles (including Sectional Titles Act and Regulations).

Total Credits: 36

Satellite Surveying and Geodesy

Earth gravity field, earth rotation dynamics and reference systems, geocentric coordinate systems, gravity observations, geoidal studies, tidal effects, datum and datum shifts, geodetic surveying, global navigation satellite systems, satellite orbits and orbital parameters, time systems, 3-D positioning.

Total Credits: 24

Land Management and Planning

Urban dynamics and development, land use systems and types, land use planning and control, socio-economic influences, environmental and physical influences, planning legislation and constraints on township development, community dynamics, social compacts, layout design, engineering considerations for services, integrated environmental management, environmental impact analysis, land development objectives of local government, land management and administration, land valuation.

Total Credits: 18

Precise Engineering Surveying

Total Credits: 24

3D Modelling /Cartography /Visualisation

Visual perception, graphicacy, cartographic communication (including information sense-making, information use and information-knowledge transformation), graphic space, symbology (point, line, area, pictorial, 3-D), colour, cartographic design, typonomy, generalisation, map use, multimedia mapping, 2-D and 3-D visualisation, interactive maps, Web maps, general purpose maps, relief representation, thematic maps (including statistical mapping), image maps, intellectual property rights and copyright, privacy rights, information economics, computer-assisted cartographic systems, map printing.

Total Credits: 10

GISc (Technologist)

GSc: Geographical science

Understanding Geographical science as it relates to GISc

GSc1: Area and spatial analysis (12)
Comprises the reading, analysis and interpretation of spatial information; Basic concepts and terminology. Broader understanding of what GIS is and what it involves. Historical perspective. Application fields. Understand different fields contributing and forming part of GISc. Components of a GIS. Functionality, analysis and processes involved.

GSc2: Earth and environmental science (12)
GIS in earth and environmental studies:
A combination of any of the following: Climatology, Geomorphology, Hydrology, Ecology structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment, development science and theory, urban systems and human settlement, population geography, Disasters (natural and manmade), sustainable development, natural environmental systems (water, atmospheric, oceanographic, fauna/flora etc.), tourism, conservation (natural or heritage), climate change.

Total Credits: 24

MS:Mathematics and statistics

Understanding mathematics and statistics in solving GISc related problems.

MS1: Mathematics: Introduction to higher mathematics and problem solving (48)

Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor series, mean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic functions, conic sections, complex numbers, vector geometry, matrix algebra, eigen vectors and values, linear transformations, space curves and surfaces, differential geometry. Series and polynomials. Basic statistics: regression, distributions, error theory, correlation, sampling. including sets, probability, permutations and combinations, and mean, standard deviation.

Total Credits: 48

PS: Physical science

Understanding the principles of Physics in geomatics practice, instrumentation and technology related to GISc.

PS1: Kinematics, Newton’s laws of motion, Friction, Momentum, and work (12)
Kinematics, Newton’s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravity, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electricity and magnetism, electromagnetic spectrum. Optics.

Total Credits: 12

AM: Analytical methods

Understanding and ability to apply different analytical methods related to GISc.

AM3: Geometric measures (8)
Distances and lengths; direction; shape; area; volume proximity and distance decay; adjacency and connectivity. Terrain analysis.

AM4: Basic analytical operations (8)
Buffer; overlay; neighborhoods; map algebra

AM5: Basic analytical methods (8)
Point pattern analysis; Kernels and density estimation; Spatial cluster analysis; Spatial interaction; Analyzing multidimensional attributes; Cartographic modeling; Multi-criteria evaluation; Spatial process models. Geostatistics. Network analysis.

AM7: Basic spatial statistics (8)
Graphical methods; Stochastic processes; The spatial weights matrix; Global measures of spatial association; Local measures of spatial association; Outliers; Bayesian methods.

Total Credits: 32

CF: Conceptional Foundation

Ability to work in an information technology environment.

CF1: Introduction to information technology(16)
Computer hardware, operating systems, data communications (local and wide area cover networks), word processing, spread sheets, internet, systems development (including systems analysis and design), security of systems and information. distributed systems, CAD, security of systems and data/information, data storage, data dissemination, spatial data integration (coordinate systems, projections, resembling rasters).

Total Credits: 16

CV: Cartography and visualization

CV2: Data considerations (8)
Source materials for mapping; Data abstraction: classification, selection, and generalization; Projections as a map design issue.

CV3: Principles of map design (8)
Map design fundamentals; Basic concepts of symbolization; Color for cartography and visualization; Typography for cartography and visualization; Visual perception, graphicacy, cartographic communication (including information sense-making, information use and information-knowledge transformation), graphic space, symbology (point, line, area, pictorial, 3-D), colour, cartographic design, typonomy, generalisation, map use, multimedia mapping, 2-D and 3-D visualisation, interactive maps, Web maps, general purpose maps, relief representation, thematic maps (including statistical mapping), Virtual globes.

CV6: Map use and evaluation (8)
The power of maps; Map reading; Map interpretation; Map analysis; Evaluation and testing; Impact of uncertainty.

Total Credits: 24

DA: Design aspects

Understanding the design aspects of databases for geospatial data.

DA4: Database design (12)
Modeling: Conceptual model; Logical models; Physical models.

Total Credits: 12

DM: Data modelling

Understanding and ability to apply DBMS and data modelling.

DM2: Database management systems (8)
Co-evolution of DBMS and GIS; Relational DBMS; Object-oriented DBMS; Object-relational DBM; Extensions of the relational model. Data mining. Spatial data structures i.e. lists, R- and KD-trees.

DM3: Tessellation data models (8)
Grid representations; The raster model; Grid compression methods; The hexagonal model; Terrain models including the Triangulated Irregular Network (TIN) model; Resolution; Hierarchical data models.

DM4: Vector and object data models (8)
Geometric primitives; The spaghetti model; The topological model; Classic vector data models; The network model; Linear referencing;

Total Credits: 24

DN: Data manipulation

Ability to implement data manipulation in a GISc environment.

DN1: Representation transformation (16)
Impacts of transformations; Data model and format conversion; Interpolation; Vector-to-raster and raster-to-vector conversions; Raster resampling; Coordinate transformations; Data fusion.

DN2 Generalization and aggregation (8)
Scale and generalization, caveats of generalising algorithms (Douglas-Peuker) and auto-snap-up routines; Approaches to point, line, and area generalization; Classification and transformation of attribute measurement levels; Aggregation of spatial entities.

Total Credits: 24

GC: Geocomputation

Ability to compile basic computer programmes in a geographical information system.

GC10 Computer programming (24)
Algorithms; Standard query language (SQL); Imperative and functional programming language; Software development for desktop and mobile devices.

Total Credits: 24

GD: Geospatial data

Ability to demonstrate an understanding of working with Geospatial data.

GD1: Earth geometry (6)
Earth’s shape; geoid, spheres and ellipsoids.

GD3: Georeferencing systems (8)
Geographic coordinate system; Plane coordinate systems; Linear referencing systems. Two- and three-dimensional coordinate systems, grid reference systems, geographical coordinates; SA Survey co-ordinate system and UTM system.

GD4: Datums (6)
Horizontal datums; Vertical datums. Reference datums.

GD5: Map projections (8)
Map projection types and characteristics; Georeferencing; mathematical models of projection and projection properties; Reprojections.

GD6: Data quality (6)
Primary and secondary sources, Geometric accuracy; Thematic accuracy; Logical consistency, Resolution; Precision; Metadata. Completeness and temporal quality. Digitizing and editing of data.

GD7: Land surveying, land law and GPS/GNSS (8)
Survey theory and electro-optical methods; Land law: South African cadastral survey system and the Land Survey Act and Regulations, registration systems.Global Positioning System (GNSS).

GD10: Aerial imaging and photogrammetry ((6)
Principles of analogue and digital photography, photogrammetric measurement and data processing including geometry of images, relative and absolute orientation, ortho-rectification, mosaicing, digital elevation models. Accuracy and reliability assessment of photogrammetrically derived data, image (photo) interpretation, creation of 3D computer model of landscapes. Virtual globes.

GD11: Satellite and shipboard remote sensing (8)
Earth radiation model and electro-magnetic spectrum, electo-magnetic energy in remote sensing, sensor systems (airborne, space borne and terrestrial), satellite orbits, geometry of sensors and sensor systems (airborne and satellite), acquisition of images, image media and formats incl. image compression, Nature of multispectral image data; Platforms and sensors; Algorithms and processing; Ground verification and accuracy assessment; Applications and settings; image processing (including image enhancement, image feature extraction, classification). Application of aerial laser scanning.

Total Credits: 56

GS: GI S&T and society

Ability to understand and apply professionalism, ethics and the law in the GISc environment.

GS6: Ethical aspects of geospatial information and technology (6)
Ethics and professionalism in the GISc practice; Codes of ethics for geospatial professionals; Codes of conduct in the GISc field. Legislation regulating the profession. Intellectual property rights and copyright, privacy rights.

GS7: Business and project management (6)
Management functions (planning, controlling, organising, decision-making), human resource management, financial management and management accounting, marketing and client relations, labour legislation, taxation, project planning, costing, resource allocation, project control and reporting, business communication, report writing, contract law. Risk management and Health and Safety management.

Total Credits: 12

OI: Organizational and institutional aspects

Ability to operate safely and within the Geomatics Industry legal requirements.

OI5: Institutional and interinstitutional aspects (8)

Spatial data infrastructures; Adoption of standards; Data transfer and exchange; Spatial data sharing among organizations; Openness; Balancing data access, security, and privacy; Implications of distributed GI S&T; Inter-organisational and vendor GI systems (software, hardware and systems). Data warehousing.

OI6: Coordinating organisations (national and international) (4)

National and international organisations and programs; State and regional coordinating bodies; Professional organizations; Publications; The geospatial community; The geospatial industry.

Total Credits: 12

RM: Research mehodology

Ability to demonstrate technical proficiency in the application of relevant technologies and producing a related report.

RM1: Portfolio of evidence (20)

Project and Report - Portfolio of evidence demonstrating practical skills in the application of relevant competencies applied in the GISc field. 

Total Credits: 20

Credits for specialization

Select one but not more than three core KA's for further specialization.

Total Credits: 20

GISc (Professional)

MS: Mathematics and Applied Mathematics

Applying mathematics and statistics in solving GISc related problems

MS1 Mathematics: Introduction to higher mathematics and problem solving (48):
Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor series, mean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic functions, conic sections, complex numbers, vector geometry, matrix algebra, eigen vectors and values, linear transformations, space curves and surfaces, differential geometry. Series and polynomials. Basic statistics: regression, distributions, error theory, correlation, sampling. including sets, probability, permutations and combinations, and mean, standard deviation.

Total Credits: 48

PS: Physical science

Understanding the principles of Physics in geomatics practice, instrumentation and technology related to GISc

PS1 Kinematics, Newton's laws of motion, friction, momentum, and work (12):
Kinematics, Newton’s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravity, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electricity and magnetism, electromagnetic spectrum. Optics.

Total Credits: 12

AM: Analytical methods

Understanding and applying different analytical methods related to GISc

AM3: Geometric measures (12)
Distances and lengths; direction; shape; area; volume proximity and distance decay; adjacency and connectivity; Terrain Analysis.

AM4: Basic analytical operations (12)
Buffer; overlay; neighborhoods; map algebra.

AM5: Basic analytical methods (12)
Point pattern analysis; Kernels and density estimation; Spatial cluster analysis; Spatial interaction; Analyzing multidimensional attributes; Cartographic modeling; Multi-criteria evaluation; Spatial process models; Geostatistics; Network analysis.

AM7: Spatial statistics (12)
Graphical methods; Stochastic processes; The spatial weights matrix; Global measures of spatial association; Local measures of spatial association; Outliers; Bayesian methods.

Total Credits: 48

DA: Design aspects

Understanding and applying the design aspects of databases for geospatial data.

DA4 Database design (24)
Modelling tools; Conceptual model; Logical model; Physical model

Total Credits: 24

CF: Conceptional Foundation

Understanding the information technology environment

CF7: Introduction to information technology, domains and elements of geographical information (24):
Computer hardware, operating systems, data communications (local and wide area cover networks), word processing, spread sheets, internet, systems development (including systems analysis and design), distributed systems, CAD, security of systems and data/information, data storage, data dissemination, spatial data integration (coordinate systems, projections, resembling rasters). Geographic phenomena, geographic information, and geographic tasks are described in terms of space, time, and properties. Elements of GI i.e. discrete entities, events and processes, fields in space and time, integrated models.

Total Credits: 24

DM: Data modelling

Understanding and applying DBMS and Data modelling

DM2: Database management system (12)
Co-evolution of DBMS and GIS; Relational DBMS; Object-oriented DBMS; Object-relational DBM; Extensions of the relational model. Data mining. Spatial data structures i.e. lists, R- and KD-trees.

DM3: Tessellation data models (12)
Grid representations; The raster model; Grid compression methods; The hexagonal model; Terrain models including the Triangulated Irregular Network (TIN) model; Resolution; Hierarchical data models.

DM4: Vector and object data models (12)
Geometric primitives; The spaghetti model; The topological model; Classic vector data models; The network model; Linear referencing; Object-based spatial databases.

Total Credits: 36

DN: Data manipulaion

Implementing data manipulation in a GISc environment

DN1: Representation transformation (16)
Impacts of transformations; Data model and format conversion; Interpolation; Vector-to-raster and raster-to-vector conversions; Raster resampling; Coordinate transformations; Data fusion.

DN2: Generalization and aggregation (8)
Scale and generalization, caveats of generalizing algorithms (Douglas-Peuker) and auto-snap-up routines; Approaches to point, line, and area generalization; Classification and transformation of attribute measurement levels; Aggregation of spatial entities.

Total Credits: 24

GC: Geocomputation

Compiling basic computer programmes in a geographical information system

GC10: Computer programming (36)
Algorithms; Standard query language (SQL); Imperative and functional programming language; Agent based models; Celular automata; Software development for desktop and mobile devices.

Total Credits: 36

RM: Research methodology

Undertaking research, compile technical and project reports.

RM1: Portfolio of evidence (36)
Mini thesis demonstrating research and practical skills in the application of relevant competencies applied in the GISc field.

Total Credits: 36

CV: Cartography and visualization

Understanding and applying cartography and visualization techniques

CV2: Data considerations (8)
Source materials for mapping; Data abstraction: classification, selection, and generalization; Projections as a map design issue.

CV3: Principles of map design (8)
Map design fundamentals; Basic concepts of symbolization; Color for cartography and visualization; Typography for cartography and visualization; Visual perception, graphicacy, cartographic communication (including information sense-making, information use and information-knowledge transformation), graphic space, symbology (point, line, area, pictorial, 3-D), colour, cartographic design, typonomy, generalization, map use, multimedia mapping, data visualization, 2-D and 3-D visualization, interactive maps, Web maps, general purpose maps, relief representation, thematic maps (including statistical mapping), Virtual globes. Presentation and manipulation of point clouds.

CV6: Map use and evaluation (8)
The power of maps; Map reading; Map interpretation; Map analysis; Evaluation and testing; Impact of uncertainty.

Total Credits: 24

GD: Geospatial data

Understanding working with Geospatial data

GD1: Earth geometry (8)
Earth’s shape; geoid, spheres and ellipsoids

GD3: Georeferencing systems (8)
Geographic coordinate system; Plane coordinate systems; Linear referencing systems. Two- and three-dimensional coordinate systems, grid reference systems, geographical coordinates; SA Survey co-ordinate system and UTM system.

GD4: Datums (8)
Horizontal datums; Vertical datums. Reference datums.

GD5: Map projections (8)
Map projection types and characteristics; Georeferencing; mathematical models of projection and projection properties; Reprojections.

GD6: Data quality (8)
Primary and secondary sources, Geometric accuracy; Thematic accuracy; Logical consistency, Resolution; Precision; Metadata. Completeness and temporal quality. Digitsing and editing of data.

GD7: Land surveying, land law, and GPS/GNSS (12)
Survey theory and electro-optical methods; Land law: South African cadastral survey system and the Land Survey Act and Regulations, registration systems.Global Positioning System (GNSS).

GD10 Aerial imaging and photogrammetry (8)
Principles of analogue and digital photography, photogrammetric measurement and data processing including geometry of images, relative and absolute orientation, bundle adjustment and aero triangulation, ortho-rectification, mosaicing, digital elevation models. Accuracy and reliability assessment of photogrammetrically derived data, image (photo) interpretation, creation of 3D computer model of landscapes settlements and buildings. Virtual globes

GD11 Satellite and shipboard remote sensing (12)
Earth radiation model and electro-magnetic spectrum, electo-magnetic energy in remote sensing, sensor systems (airborne, space borne and terrestrial), satellite orbits, geometry of sensors and sensor systems (airborne and satellite), acquisition of images, image media and formats incl. image compression. Nature of multispectral image data; Platforms and sensors; Algorithms and processing; Ground verification and accuracy assessment; Applications and settings; image processing (including image enhancement, image feature extraction, classification). Application of terrestial and aerial laser scanning. Hyperspectral; radar remote sensing.

Total Credits: 72

GSc: Geographical Science

Understanding Geographical Science as it relates to GISc

GSc1 Area and spatial analysis (12)
Comprises the reading, analysis and interpretation of spatial information; Basic concepts and terminology. Place and landscape. Broader understanding of what GIS is and what it involves. Geography as a foundation for GIS. Historical perspective. Application fields. Understand different fields contributing and forming part of GISc. Components of a GIS. Functionality, analysis and processess involved.

GISc2 Earth and environmental science (12)
GIS in earth and environmental studies:
A combination of any of the following: Climatology, Geomorphology, Hydrology, Ecology structural geology, engineering geology, interpretation of geological maps, integrated environmental management, environmental impact assessment, development science and theory, urban systems and human settlement, population geography, Disasters (natural and manmade), sustainable development, natural environmental systems (water, atmospheric, oceanographic, fauna/flora etc.), tourism, conservation (natural or heritage), climate change:

Total Credits: 24

GS: GI S&T and society

Applying professionalism and ethics in the GISc environment

GS6: Ethical aspects of geospatial information and technology (6)

Ethics and professionalism in the GISc practice; Codes of ethics for geospatial professionals; Codes of conduct in the GISc field.

Legislation regulating the profession. Intellectual property rights and copyright, privacy rights.

GS8: Business and project management (6)

Effective communication within the built environment (written and spoken communication, communication in the workplace); Management functions (planning, controlling, organising, decision-making), human resource management, financial management and management accounting, marketing and client relations, labour legislation, taxation, project planning, costing, resource allocation, project control and reporting, business communication, report writing, contract law. Risk management and Health and Safety management

Total Credits: 12

OI: Organizational and institutional aspects

Operating in the geomatics industry

OI5: Institutional and interinstitutional aspects (8)

Spatial data infrastructures; Adoption of standards; Metadata; Data transfer and exchange; Spatial data sharing among organizations; Openness; Balancing data access, security, and privacy; Implications of distributed GI S&T; Inter-organisational and vendor GI systems (software, hardware and systems). Data warehousing.

OI6: Coordinating organisations (National and international) (4)

National and international organisations and programs; State and regional coordinating bodies; Professional organizations; Publications; The geospatial community; The geospatial industry.

Total Credits: 12

Credits for specialization

The learner may select one but not more than three core KA's for specialization.

Total Credits: 48

Mine Surveyor (Professional)

Mathematics and Applied Mathematics

Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor series, mean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic functions, conic sections, complex numbers, vector geometry, matrix algebra, linear transformations, space curves and surfaces, intersection of lines/planes, distance from points to lines/planes, differential geometry. series and polynomials. Basic statistics, including sets, probability, permutations and combinationsmean, standard deviation and normal distribution. To be added to allow for changes in matriculation syllabus: Euclidean and analytical geometry, trigonometric identities, laws of sines and cosines, proportion, co-ordinate systems, areas and volumes.

Total Credits: 70

Physics

Kinematics, Newton’s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum. Optics

Total Credits: 30

Basic Surveying and Engineering Surveying

Measurement science, distance measurement (optical, mechanical and electro-optical), angular measurement, measuring equipment (distance and angular, including sources and management of instrument errors, calibration and expected precision), spatial reference systems, distance and direction from coordinates, position determination using observed angles/directions, distances, or combinations of these, and Satellite Navigation Systems, setting out of pre-determined positions, heighting, areas, volumes, interpretation of maps/plans, design and setting out of horizontal and vertical curves, cross and longitudinal sections, cut and fill calculations, preparation of maps/plans, 2D coordinate transformations, control surveys, topographic surveys. Inertial navigation systems.

Total Credits: 60

Information Technology

Introduction to computer hardware, operating systems, data communications (local and wide area cover networks),\nword processing, spreadsheets, internet, software development (scientific/engineering) in a current programming language, systems development (including systems analysis and design), databases and database management systems, use of information technology in surveying, 2-D CAD, security of systems and information. Spreadsheet design and formatting

Total Credits: 20

Geo-spatial Information Science

Nature of geo-spatial information, geo-spatial information in planning and decision-making, components of a GIS, data acquisition and manipulation, data structures (including vector, raster, hybrid), data modelling, geo-spatial databases and DBMS, applications of geo-spatial data using spatial analysis, spatial modelling and spatial statistics, visualisation and representation of geo-spatial information (including digital cartography).

Total Credits: 10

Photogrammetry

Earth satellite orbits, geometry of sensors and sensor systems (airborne, spaceborne and terrestrial), camera calibration, acquisition of images (including flight planning), image media and formats incl. image compression, principles of analogue and digital photography, ortho- rectification, mosaicing and georeferencing, digital elevation models . Ground Control, Laser scanning

Total Credits: 10

Coordinate Systems and Map Projections

Two- and three-dimensional coordinate systems, grid reference systems, shape of the Earth, mathematical representations of the Earth, (including reference ellipsoids) geographical coordinates, different types of map projections, Including mathematical modles and projection properties) projection–to-projection transformations, reference datums and common ellipsoids, SA Survey co-ordinate system and UTM system.

Total Credits: 20

Adjustments, Error Theory and Statistics

The nature of observations and data acquisition, types of errors, means, norms ,accuracy, precision, reliability, probability, confidence intervals, distributions and probability density functions, auto- and cross-correlation, hypothesis testing, least squares theory, simple and multiple regression, distribution functions, law of error propagation, least squares adjustments of survey observations( paramatric and condition equation case), network adjustment (including free networks), adjustment of coordinate transformations, design of survey networks, statistical analysis of results and interpretation of data.

Total Credits: 30

Earth and Environmental Studies

Environmental pitfalls in minerals exploration, Mining and the environment, Water management, Air pollution from mining operations, Environment impact assessment, Compiling an EMPR, Environment management costing

Total Credits: 20

Business and Project Management

Management functions (planning, controlling, organising, decision-making), human resource management, financial management and management accounting, marketing and client relations, labour legislation, taxation, project planning, costing, resource allocation, project control and reporting, business communication, report writing, contract law. Risk maangement and Health and Safety management

Total Credits: 20

Professional Practice

Professionalism, professional ethics, different types of professional practices, partnerships and partnership law, structuring a practice, client relationships, SA survey profession and SA Council for Professional and Technical Surveyors (including legislation and rules), social responsibility.

Total Credits: 10

Research project

The research project must have a design and or analysis component and include reporting and presentation of final results

Total Credits: 20

Cadastral Studies and Land Tenure

Land ownership and land tenure (including indigenous systems), rights in land (including servitudes, leases, statutory rights), nature and function of the cadastre, cadastral surveying systems, South African cadastral survey system and the Land Survey Act and Regulations, curvilinear boundaries, case law on boundaries, registration systems, Deeds registration, conveyancing, division of land, consolidation of land, legislation applicable to land ownership and division of land, sectional titles (including Sectional Titles Act and Regulations).

Total Credits: 10

Precise Engineering Surveying

Shaft Surveying, Deformation surveying, Surface subsidence, deformation caused by mining activities, types of deformation, Risk modelling and analysis, Mine Health and Safety Act, Specialised instrumentation (including sources of errors, calibration and expected precision) Specialized surveying equipment (precsise Level, Total stations, Geomos, Piezometers, inclometers) Design of precise control networks, monumentation, automated surveying equipment applications, network adjustments, analysis of data, presentation of data

Total Credits: 30

3D Modelling (Mine Planning)

Mine Planning Terminology, Mine Ventilation layouts, Mine Ventilation constraints (gasses, airflow, Health and safety act requirements), Environmental control - airflow, cooling, calculation of volumes of narrow tabular and massive type ore bodies, design of mine development to allow safe holing on gradient, mine design, layout and sequence, deep, intermediate, shallow, single reef/seam, multi reef/seam, wide reef/seam , irregular ore body, pipe deposits, massive ore bodies, stopes, tunnels, large excavations,

Total Credits: 20

Mineral Management

Mineral rights, law of the Certficate of Competency, land use systems and types,land use planning and control, environmental and physical influences, community dynamics, social impacts, integrated environmental management, environmental impact analysis, mining property valuation

Total Credits: 20

Mine Valuation / Evaluation / Geostatistics

Sampling Theory, sampling procedures, sampling and assay errors, ore flow, pay limits, ore reserves, ore/metal accounting factors, financial mine planning, calssical statistics, non-spatial estimation techniques, data analysis, classical estimation methods, geostatistical estimation methods, oregenisis, structural geology, SAMREC code

Total Credits: 60

Mining Geology

Mineralogy, petrology, physical geology, structural geology, historical geology, economic geology, prospecting methods, geological maps, chemistry

Total Credits: 20

Rock Mechanics

Purpose of rock engineering, elastic theory, stresses and strains - compression, tension, shear, Young's Modulas, Poissons Ratio, strength of support materials - rock types etc, convergence, distribution of stress around openings, fracture around openings, effects of geology, factors governing rock behaviour, energy release rate, excess shear stress

Total Credits: 20

Mine Surveyor (Technologist)

Mathematics and Applied Mathematics

Differential and integral calculus of functions of one variable, differential equations, partial derivatives, Taylor\nseries, mean value theorem, solving systems of linear and non-linear equations, trigonometric functions, hyperbolic functions, conic sections, complex numbers, vector geometry, matrix algebra, space curves and surfaces, intersection of lines/planes, distance from points to lines/planes. Basic statistics, including sets, probability, permutations and combinationsmean, standard deviation and normal distribution. Euclidean and analytical geometry, trigonometric identities, laws of sines and cosines, proportion, co-ordinate systems, areas and volumes.

Total Credits: 50

Physics

Newton'€™s laws of motion, work, energy, power, rotational dynamics, torque, angular momentum, gravitation, periodic motion, simple harmonic motion, interference, wave motion, diffraction, refraction and reflection of waves, Doppler effect, electric charge and field, electric potential, capacitance, resistance, electric current, electromagnetic induction, magnetic field, electromagnetic spectrum, Optics

Total Credits: 20

Basic Surveying and Engineering Surveying

Measurement science, distance measurement (optical, mechanical and electro-optical), angular measurement, measuring equipment (distance and angular, including sources and management of instrument errors, calibration and expected precision), spatial reference systems, distance and direction from coordinates, position determination using observed angles/directions, distances, or combinations of these, and Satellite Navigation Systems, setting out of pre-determined positions, heighting, areas, volumes, interpretation of maps/plans, design and setting out of horizontal and vertical curves, cross and longitudinal sections, cut and fill calculations, preparation of maps/plans,\n2-D coordinate transformations, control surveys, topographic surveys. Inertial navigation systems.

Total Credits: 60

Information Technology

Introduction to computer hardware, operating systems, word processing, spreadsheets, internet, software development (scientific/engineering) in a current programming language, systems development (including systems analysis and design), databases and database management systems, use of information technology in surveying, 2-D CAD, security of systems and information. Spreadsheet design and formatting

Total Credits: 20

Geo-spatial Information Science

Nature of geo-spatial information, geo-spatial information in planning and decision-making, components of a GIS, data acquisition and manipulation, data structures (including vector, raster, hybrid), data modelling, geo-spatial databases and DBMS, applications of geo-spatial data using spatial analysis, spatial modelling and spatial statistics, visualisation and representation of geo-spatial information (including digital cartography).

Total Credits: 10

Coordinate Systems and Map Projections

Two- and three-dimensional coordinate systems, grid reference systems, shape of the Earth, mathematical representations of the Earth, (including reference ellipsoids) geographical coordinates, different types of map projections, Including mathematical modles and projection properties) projection–to-projection transformations, reference datums and common ellipsoids, SA Survey co-ordinate system and UTM system.

Total Credits: 10

Adjustments, Error Theory and Statistics

The nature of observations and data acquisition, types of errors, means, norms ,accuracy, precision, reliability, probability, confidence intervals, distributions and probability density functions, auto- and cross-correlation, hypothesis testing, least squares theory, simple and multiple regression, distribution functions, law of error propagation, least squares adjustments of survey observations( paramatric and condition equation case), network adjustment (including free networks), adjustment of coordinate transformations, design of survey networks, statistical analysis of results and interpretation of data.

Total Credits: 20

Business and Project Management

Management functions (planning, controlling, organising, decision-making), human resource management, financial management and management accounting, marketing and client relations, labour legislation, taxation, project planning, costing, resource allocation, project control and reporting, business communication, report writing, contract law. Risk mangement and Health and Safety management

Total Credits: 20

Professional Practice

Professionalism, professional ethics, different types of professional practices, structuring a practice, client relationships,social responsibility;Registration and SA Council for Professional and Technical Surveyors (including legislation and rules), Petroleom and Mine Heath and Safety Act and regulations;Mining Lease and mineral rights law;Samrec and Samval codes.

Total Credits: 10

Category Specific Research project

The research project must have a design and or analysis component and include reporting and presentation of final results

Total Credits: 20

Precise Mine/Engineering Surveying

Shaft Surveying, Deformation surveying, Surface subsidence, deformation caused by mining activities, types of deformation, Specialised instrumentation (including sources of errors, calibration and expected precision); specialised instrumentation Design of precise control networks, monumentation, automated surveying equipment applications, network adjustments,

Total Credits: 10

3D Modelling (Mine Planning and Practice)

Mining methods(underground,opencast,massive);Mine Planning ; Mine Ventilation constraints; mine design (layout and sequence)

Total Credits: 10

Mineral Management

Mineral rights, law of the Certficate of Competency, land use systems and types,land use planning and control,\nenvironmental and physical influences, community dynamics, social impacts, integrated environmental management, environmental impact analysis, mining property valuation

Total Credits: 20

Mine Valuation / Evaluation / Geostatistics

Sampling Theory, sampling procedures, sampling and assay errors, ore flow, pay limits, ore reserves, ore/metal accounting factors, financial mine planning, calssical statistics, non-spatial estimation techniques, data analysis, classical estimation methods, geostatistical estimation methods, oregenisis, structural geology, SAMREC code

Total Credits: 40

Mining Geology

Mineralogy, petrology, physical geology, structural geology, historical geology, economic geology, prospecting methods, geological maps, chemistry

Total Credits: 20

Rock Mechanics

Purpose of rock engineering, elastic theory, stresses and strains - compression, tension, shear, Young's Modulas,\nPoissons Ratio, strength of support materials - rock types etc, convergence, distribution of stress around openings, fracture around openings, effects of geology, factors governing rock behaviour, energy release rate, excess shear stress

Total Credits: 20

Mine Surveyor (Technician)

Mathematics and Applied Mathematics

algrebra;trigonometry;calculus;complex numbers;co ordinate geometry;analytic geometry;matrices;determinants differentation:partial differentation,series;integrated solutions of first order differential equations;numerical methods;statistics.

Total Credits: 40

Physics

Vectors; Kinematics-linear and angular; Dynamics-Newton’s laws and applications, sliding and rolling friction; Work, power, energy, impulse and momentum; Elasticity; Hydrostatics; Fluids dynamics; Heat and heat transfer; Laws of Thermodynamics; Waves; Electricity-forces, fields and current circuits; Light; Optics-application in instrumentation

Total Credits: 8

Basic Surveying and Engineering Surveying

Theory and Principles of Surveying-Mine Surveying; Maps-Plans; Units of measure; Coordinate systems; Basic survey instruments and their use and adjustments; traversing; tape surveying; levelling-Cut and fill, Gradients calculations; tacheometry; Solution of triangles;Area and Volume determination; survey computer applications; triangulation;resection;trilateration;missing date calculations;satellite stations;surveying of ore passes;shaft surveying;curves;advanced survey instuments and data capture.

Total Credits: 52

Information Technology

Introduction to computers; Microsoft software packages; Drawing graphs;Introduction to CAD; Computer hardware;\ncomputer software; Communication skills

Total Credits: 20

Geo-Spatial Information Science

intrduction to geospatial information systems;maps and types of maps;catographic design principals;\nvisualisation;spacial interpolation

Total Credits: 10

Coordinate Systems and Map Projections

2-D and 3-D coordinate systems; grid reference systems; shape of earth; different types of map projections; SA Survey coordinates system

Total Credits: 10

Adjustments, Error Theory and Statistics

The nature of observations and data acquisition, types of errors, means, norms, accuracy, precision; Adjustment of a survey and levelling traverse

Total Credits: 12

Business and project Managment

Develope an ability to communucate effectivley within the mining industry( writen communucation,spoken communication,communication in the workplace);office orgaisation and methods;contracts ;theory of managment

Total Credits: 6

Professional Practice and Ethics

Introduction to the MHSA and Petroleum Act for surveying and sampling; introduction to the mining lease law,Samrec and Sanval codes; profession ethics; professional and technical surveyors act and registration.

Total Credits: 6

Category Specific Research project

Report-Portfolio of evidence demonstrating practical skills: Sample a stope face-development (reef drive, raise, cross-cut); Compilation of a stope-development sampling record; Map a stope face/development end-Cartography and visualisation; Performance of broken ore sampling

Total Credits: 16

3D Modelling / Cartography / Visualisation

Introduction to cartography;basic map production procedures; map design and representation; digital mapping

Total Credits: 10

Mine Sampling and Valuation

Sampling theory and procedures (basic principles and definitions), sampling methods; Sampling reports; Averaging and weighing of sampling results; regular and irregular sampling intervals; weighing by length, area and mass; Calculation of tonnage and mineral content; ore flow; pay limits; grade control; life of mine; valuation of a mineral deposits;managment control factors; present values and compound interest;taxation;borehole valuation; statistical valuation(distribution,probabilty and regression)sampling and valuation computer applications.repoting

Total Credits: 40

Mining geology

mineralogy; physical geology; structural geology

Total Credits: 10