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    Scheme of Work

    Qualification: BETC National Diplomain Mechanical Engineering/Year (2),Class (A)

    Unit No:28 Unit Title:

    REF. CONTENT POSSIBLE ACTIVITIES RESOURCES

    Week1&2 Be able to useadvancedgraphical techniques

    Whole class teaching

    Introduction to unit

    scheme of work

    assessment requirements.

    plotting of straight line graphs, choice of axes andexplain how to rearrange equations into straightline form.

    demonstration of plotting of straight line graphswith a minimum of three points to obtain point ofintersection.

    discuss the shape of the graphical plot of a

    quadratic equation and the effects of the variousparameters.

    explain the formation of a table of values withpossible use of computer to assist and thendemonstrate how to plot smooth curves and theapplication to find the roots of a quadratic equation.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides) Printed Lecture Notes.

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    Students feedback questions and comments related to the

    present lecture.

    Week3&4 Be able to useadvanced graphicaltechniques

    Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    explain how by plotting a quadratic and linear graph

    simultaneously the intersection can be projectedonto thex-axis to give the roots of an equation, eg

    Plot the graph of 22xy = and use the graph to solvethe equation

    0432 2 =+ xx .

    explain how laws which are not apparently linearcan be reduced to give a straight line relationshipand then demonstrate the reduction of typicalexamples, eg

    baxy +=2 , plotyagainst 2x .

    revise the laws of logarithms and explain howlogarithms can be used to reduce laws of the type

    naxy = to a straight line form.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    Week5&6 Be able to useadvanced graphicaltechniques

    Recap

    Students feedback questions and comments related to

    previous lecture.

    Whole class teaching

    to review the previous weeks work and

    demonstration of solution of laws of the type naxy =

    but using logarithmic graph paper.

    explain and demonstrate the differing type of cubicequation, eg 1 root, 2 roots, 3 roots.

    show how a table can be built up manually andcomputer generated and demonstrate plotting of acubic equation.

    summarize all the previous weeks work usingmanual and graphical techniques

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    Week7&8 Be able to applyalgebraic techniques Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    define an arithmetic progression and express anarithmetic progression in terms of the first term (a)and the common difference (d).

    explain the expression for the nth term and the sum

    to n terms define a geometric progress and expressa geometric progression in terms of the first term(a) and the common ratio (r).

    explain the expression for the nth term, the sum to

    n terms and the sum to infinity.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    Week9&10 Be able to applyalgebraic techniques Recap

    Students feedback questions and comments related to

    previous lecture.

    Whole class teaching

    introduce the idea of a complex number and explainthe Argand diagram.

    demonstration of the algebra of complex numbersin Cartesian form.

    introduce the polar form of a complex number anddemonstrate the algebra of complex numbers inpolar form.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    Week11&12 Be able to applyalgebraic techniques Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    discuss the relationship between the two forms of

    complex number and demonstrate the use of acalculator to interchange between the two forms ofa complex number.

    explain the application of complex numbers in

    practical situations, eg alternating current theoryand mechanical vector analysis.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    Week13&14 Be able to applyalgebraic techniques

    Recap

    Students feedback questions and comments related to

    previous lecture.

    Whole class teaching review the evaluation of the mean, median and

    mode for discrete and grouped data

    explain the significance of standard deviation andvariance and demonstrate the evaluation ofstandard deviation and variance for ungroupeddata.

    demonstrate the evaluation of standard deviationand variance for grouped data and show how to use

    the statistical functions on calculators to obtain themean, standard deviation and variance.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides) Printed Lecture Notes.

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    Week8 Eid Al-Adha

    Holiday

    Week15&16 able to manipulatetrigonometricexpressions and apply

    trigonometrictechniques

    Recap

    Students feedback questions and comments related to

    previous lecture. Quiz.

    Whole class teaching

    to revise the relationship between degrees andradians.

    explain amplitude, periodic time and frequency anddemonstrate the concept of graph sketching forperiodic functions.

    discuss shapes ofsinx, 2 sinx, sinx, sin 2xfor

    values ofxbetween 0 and 360 by using

    Interactive white

    board.

    PowerPointpresentation

    (Teaching slides)

    Printed Lecture Notes.

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    Powerpoint demonstration

    Week17&18 able to manipulatetrigonometricexpressions and applytrigonometrictechniques

    Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    using Powerpoint to demonstrate the concepts ofphase angle and phase difference followed by a

    demonstration of how a single wave results from acombination of two waves of the same frequencyusing graphs and phasor addition.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    introduce the compound angle formulae anddemonstrate its use followed by an explanation ofthe expansion of

    R sin (wt +????) in the form a cos wt + b sin wt andthen lead learners in solution of simple problems.

    Week19&20 Be able to applycalculus Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    revise the concept of differentiation and review of

    standard derivatives.

    demonstration of the differentiation of differentfunctions, including polynomial, exponential and thedifferentiation of various combinations of sums of

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    trigonometric functions.

    Week21&22 Be able to applycalculus

    Recap

    Students feedback questions and comments related to

    previous lecture.

    Whole class teaching

    demonstrate methods of differentiation of functionsusing function of a function, product and quotientrules

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

    Week23&24 Be able to applycalculus Recap

    Students feedback questions and comments related to

    previous lecture.

    Whole class teaching

    demonstrate the evaluation of differentialcoefficients and introduce the concept of successivedifferentiationand applications, eg velocity and acceleration.

    Interactive white

    board.

    PowerPoint

    presentation(Teaching slides)

    Printed Lecture Notes.

    Week25&26 Be able to apply Recap Interactive white

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    calculus Students feedback questions and comments related to

    previous lecture.

    Whole class teaching

    introduce the idea of stationary points and show

    how to evaluate maximum and minimum values fora rangeof functions

    demonstrate calculation of maximum/minimumvalues for practical applications.

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

    Week27&28 Be able to applycalculus Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    revise the concept of integration and review ofstandard integrals, indefinite integration, constantof integration and definite integration.

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    demonstrate evaluation of definite integrals andapplication eg area under a curve.

    Week29&30 Be able to applycalculus Recap

    Students feedback questions and comments related to

    previous lecture.

    Whole class teaching

    demonstrate the application of integration tocalculate the mean (average) values

    demonstrate the application of integration tocalculate the root mean square (rms) values

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

    Week31&32 Be able to applycalculus Recap

    Students feedback questions and comments related to

    previous lecture.

    Quiz.

    Whole class teaching

    explain the three methods for finding areas of

    irregular shapes

    Interactive white

    board.

    PowerPoint

    presentation

    (Teaching slides)

    Printed Lecture Notes.

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    discuss the idea of linking the three methods andcomparing with integration to find the area under acurve.

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