OPERATIONS SEAFARER CERTIFICATION GUIDANCE NOTE SA MARITIME QUALIFICATIONS CODE

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1 Applied Marine Science and Page 1 of 10 Compiled by Approved by Chief Examiner Syllabus Committee: 26 February 2013 OPERATIONS SEAFARER CERTIFICATION GUIDANCE NOTE SA MARITIME QUALIFICATIONS CODE Applied Marine Science and

2 Applied Marine Science and Page 2 of 10 KNOWLEDGE, UNDERSTANDING AND Obtain the mathematical skills required for an understanding of the theoretical knowledge in the certificate courses 1. Algebra 1.1 Knows:.1 The standard algebraic manipulations leading to the transportation of equations and their solution. MODULE 1.2 How to produce a graph of given or observed data and extract information from the graph..3 How to convert between polar and rectangular coordinates..4 How to interpolate quickly and accurately..5 The properties of the ellipse. 1.2 Defines: error as the observed or calculated value minus the true value. 1.3 Explains the meaning of absolute error and relative error Written examination and assessment of evidence obtained from theoretical instruction. 1.1 Transposes equations to isolate a given variable. 1.2 Solves:.1 equations, giving answers rounded to a specified number of decimal places or significant figures..2 Problems leading to linear equations..3 Problems leading to simulations linear equations in two unknowns. 1.3 Plot points, given their Cartesian coordinates. 1.4 Draws:.1 A smooth graph through plotted points..2 A graph of given functions. 1.5 Given the abscissa, reads the value of the ordinate and vice versa. 1.6 Extracts values from graphs on ship s data 1.7 Uses:.1 Linear interpolation to find intermediate values in tables such as ullage tables, deadweight scales, deviation table.

3 Applied Marine Science and Page 3 of 10.2 A calculator to convert between polar and rectangular coordinates. 1.8 Interpolates in tables with two arguments. 1.9 Performs linear extrapolation Constructs by plotting an ellipse.

4 Applied Marine Science and Page 4 of Trigonometry KNOWLEDGE, UNDERSTANDING AND 2.1 Proficient in the use of trigonometrical function of angles. 2.2 Knows:.1 The range of values of trigonometrical functions..2 The range of values of the inverse functions..3 The value of a radian. DEMONSTRATI NG 2.1 Solves:.1 Problems reducible to right-angle triangles of trigonometrical functions..2 Problems on oblique plane triangles using the cosine and sine formulae. 2.2 Converts:.1 Polar co-ordinates to Cartesian and vice versa..2 Angles into radians and vice versa. 3. Mensuration and Geometry 3. Knows:.1 Perimeters and areas..2 The areas of sectors and segments of a circle..3 Surface areas and volumes. Simpson s 1 st, 2 nd and 3 rd Rule..5 The construction of a circle through two known points when angle between two points is known (Snellius Problem)..6 The properties of figures, parallel lines and constructions. 3.1 Calculates:.1 The perimeters and areas of: 1. a square 2. a rectangle 3. a parallelogram 4. a trapezium 5. a triangle 6. a circle.2 The areas of sectors and segment of a circle..3 The surface areas and volume of: 2. a cube 3. a rectangular and 4. triangle prism 5. a cylinder 6. a sphere.4 Areas and centroid of irregular figures..5 Volumes and centre of gravity of volumes of irregular figures..6 The distance from an object when the height and subtended vertical angle is known. 3.2 Constructs:.1 A circle through two known points when angle subtended between the two points is known..2 A triangle from given data.

5 Applied Marine Science and Page 5 of 10 KNOWLEDGE, UNDERSTANDING AND 3.3 Determines.1 By plotting three given points and the angles subtended by pairs of those points at a position..2 length of arc, given a radius and angle of sector. 3.4 Users Pythagoras s theorem to calculate one side of a right-angled triangle, given the other two. 4. Vectors 4. Knows:.1 That vector quantities have direction as well as magnitude..2 The graphical solution of sums and differences of vector quantities. 4.1 Calculates:.1 The vector sum of two or more vectors by graphical methods..2 The difference between two vectors by graphical methods..3 Sums and difference of vectors by resolution into perpendicular directions. 4.2 Resolves:.1 A given vector into components in two specific directions by drawing..2 A given vector into components in two specific perpendicular directions by calculation. 5. Statistics 5. Knows:.1 Graphical representation of data..2 Measures of central tendency..3 Standard deviation. 5.1 Draws bar and pie charts, histograms and frequency polygons from given data. 5.2 Calculates:.1 Mode, meridian and mean..2 Standard deviation. 6.Ellipse and Hyperbola 6. Knows the properties of the ellipse and hyperbola. 6. Constructs:.1 An ellipse by plotting..2 A family of hyperbola.

6 Applied Marine Science and Page 6 of 10 KNOWLEDGE, UNDERSTANDING AND 1. Spherical Trigonometry 1. Knows:.1 The meaning of a great circle and small circle..2 That a spherical triangle is a figure on the surface of a sphere bounded by arcs of three great circles..3 That the angle between two great circles is the angle between the planes in which they lie..4 How the length of a side is measured as an angle..5 That the sum of the angles of a spherical triangle exceeds 180º but is less than 540º.6 That no side exceeds 180º MODULE Given two parts of a quadrangle triangle, uses Napier s Rules to solve for any other part. 1.2 Solves:.1 Problems involving oblique spherical triangles by using cosine and sine formula..2 Problems on spherical triangles by dropping a perpendicular and solving the resulting right-angled triangles..3 Uses tables to solve spherical triangles. MODULE 3 1. Calculus 1.Defines the concepts of differentiation and integration As for module Differentiate given functions from first principles to obtain identities.1 Use identities in solving practical problems..2 Use integration identities to solve given problems.

7 Applied Marine Science and Page 7 of 10 KNOWLEDGE, UNDERSTANDING AND DEMONSTRATI NG CRITERIA FOR EVALUATING MODULE 4 Obtain the scientific skills required for an understanding of the theoretical knowledge in the certificate courses. 1.Light 2.Sound 3.Heat 1.1 Knows:.1 The laws of reflection and refraction..2 Refraction through thin lenses..3 Refraction through prisms. 1.2 Understand total internal reflection 2.1 Defines sound as a longitudinal wave motion set up by a vibrating object in a material medium. 2.2 States:.1 The approximate range of frequency of audible sound..2 That sound obeys the laws of reflection and refraction..3 That the velocity of sound in sea water is about 150 m/sec and increases with temperature, pressure and salinity..4 That both reflection and transmission take place at a boundary between different media. 2.3 Knows that sound at frequencies above the upper audible limit is known as ultrasound. 2.4 Describes:.1 The effect of atmospheric temperature, humidity gradient and the wind on the audibility of sound at a distance..2 The application of reflection to the measurement of depth by echo sounder..3 The Doppler effect on the frequency heard when there is relative motion between the source and the receiver. 3.1 Knows natural sources of heat. 3.2 Construction of a liquid-in-glass thermometer. 3.3 States:.1 How the thermometer is graduated using upper and lower fixed points..2 That substances can exist in three states, solid, liquid and vapour..3 Boyle s and Charles gas laws. 3.4 Describes:.1 The thermo dynamic temperature scale..2 Describes the methods of heat transfer. 3.5 Differentiates between sensible and latent heat. 3.6 Explains what is meant by saturated and unsaturated vapour As for module Reports on the principles used in:.1 Sextant..2 Azimuth mirror.3 binoculars.4 Periscopes 1.2 Demonstrates the correct use of sextant, azimuth mirror and binoculars. 2.1 Report on principles used in:.1 Echo sounding..2 Direction and distance of sound signals due to atmosphere conditions. 2.2 Performs:.1 calculations involving the speed of sound and echoes..2 calculations on shift of frequencies observed from sound signals of ships approaching each other. 3. Reports:.1 on principles used in calibrating a thermometer..2 on the cooling effect due to evaporation..3 on the vapour compression refrigeration cycle. 3.2 Solves..1 simple numerical problems on conduction between substances in contact with each other, including mixtures of liquids and solids placed in liquids..2 problems involving change of state and latent heat. 1.3

8 Applied Marine Science and Page 8 of 10 KNOWLEDGE, UNDERSTANDING AND CRITERIA FOR EVALUATING 3.7 Defines:.1 Saturated Vapour Pressure..2 Relative humidity.3 Dew point..4 Critical temperature and critical pressure. 3.8 Understands isothermal and adiabatic expansion/compression of gasses. 4.Magnetism 4.1 Differentiates:.1 Between magnetic and non-magnetic materials..2 Differentiates between soft iron and hard iron materials. 4.2 Knows:.1 The first and second law of magnetism..2 Terrestrial magnetism..3 About the variation curve by the earth s magnetic field..4 About the deviation caused by magnetism induced in ship s hull. 4. Reports:.1 On the construction of a magnetic compass card as laid down in safety of navigation regulations..2 On deviations caused by induction in Hard iron. during building period and induction in Soft. Iron. for a well placed compass. 4.3 Has:.1 A knowledge of the restoring moments in a magnetic needle system when distributed by external forces..2 An understanding of induction of magnetism in the ship s hull during the building period in hard iron and soft iron..3 A knowledge of the magnetic effects caused by electric currents. 5.Electricity 5.1 Understands.1 Difference between conductors and insulators..2 Ohm s law..3 Electrical energy and power..4 Electromagnetic induction. 5.2 Uses Ohm s law to calculate values in simple circuits. 5.1 Calculates the equivalent resistance of resistors in series and in parallel. 5.2 Uses:.1 Ohm s Law to calculate values in simple circuits..2 An ammeter and voltmeter to measure current, p-d and resistance in a circuit

9 Applied Marine Science and Page 9 of 10 KNOWLEDGE, UNDERSTANDING AND 5.3 Distinguish between primary and secondary cells. 5.4 Describes:.1 The basic construction of a: 1. Simple cell 2. Dry cell.2 The basic construction and action of a lead-acid cell..3 The basic construction and action of Alkaline cells..4 electrolysis as a process by which a substance is decomposed by the passage of an electrical circuit..5 The electrolytic action between two connected dissimilar metals immersed in a electrolyte..6 Compare the advantages of lead-acid and alkaline cells. 5.3 Reports:.1 on the principle of operations of: Electric motors. Generators/alternators Electro-magnetic log Navigation Light Sentinel Gyro alarm system Buzzer circuit Electro-magnetic relay circuit breakers Fuses.2 On the care of lead-acid cells and the precautions to take in battery lockers and during charging..3 reports on corrosion in ship s hull due to electrolytic action. 5.4 Describes:.1 A moving-coil galvanometer and the principle on which it works..2 The use of shunts and multipliers to vary the range scales. 5.5 Explains:.1 How a galvanometer is used as: an ammeter. a voltmeter.2 How ammeters and voltmeters should be connected in an electric circuit. 5.6 Discuss the basic methods used to counteract electrolytic corrosion in ship s hull. 6. Fluid Mechanics 6.1 Defines pressure as the force acting normally per unit area. 6.2 Calculates the pressure and thrust on tanks subject to a head or liquid. 6.3 Discuss Bernoulli s theorem 6.0 Reports on Bernoulli s theorem to explain squat cushion effect banking effect

10 Applied Marine Science and Page 10 of 10 KNOWLEDGE, UNDERSTANDING AND 7. Material Science 7.1 Knows Hooke s law and Young s Modules. 7.2 Understands:.1 The terms: stress strain elasticity elastic and plastic flow yield point breaking stress factory safety.2 The existence of shear force and bending moments on homogeneous simple supported loaded with point loads. 7.1 Calculates shear forces and bending moments on simple supported beams and draws shear force and bending moment diagrams. 8. Mechanics 9. Waves 8.1 Describes what is meant by a machine. 8.2 Defines: 1. V.R. 2. M.A. 3. efficiency 9.1 Distinguish between transverse and longitudinal waves Understands: frequency (f) wave length (l) period (T) velocity (v).2 And the relationship between the above..3 Constructive and destructive interference. 9.3 Defines electromagnetic radiation. 8.1 Solves:.1 Problems on simple machines..2 problems on the following machines 1. lever 2. moving pulley 3. block and tackle 4. wheel and axle 5. screw jack 9.1 Uses the relationship between speed, wave length and frequency to calculate the wave length for a given frequency and vice versa. 9.2 Draws a diagram of the electromagnetic spectrum showing the approximate range of wave length occupied by: radio waves infra red waves visible light ultraviolet radiation x-rays gamma rays