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1.4 Compute maximum and minimum values of quadratic functions, composite functions, inverse functions, the area of a polygon, the equation of a straight line, locus, measures of central tendency and measures of dispersion and probability
Unit code: R/617/6693 RQF
Level: 4
Unit Aims
This unit aims to provide an opportunity to learn mathematics and statistics and equip learners with the mathematical skills to analyse and solve problems that will enable them to work within the field of IT. The unit covers number systems, logic, relations, functions, quadratic equations, quadratic functions, simultaneous equations, polynomial equations, exponential functions, logarithmic functions, coordinate geometry and matrices. The unit provides an opportunity to learn statistics and equip learners with the descriptive and analytical methods for dealing with variability in observed data. It covers graphical presentation of data, descriptive statistics, index numbers, correlation and regression, time series, probability and statistical inference.
Learning Outcomes and Assessment Criteria
Learning Outcomes: To achieve this unit, the learner must be able to:
Assessment Criteria: Assessment of these outcomes demonstrates the learner can:
1. Understand the mathematics underpinning information technology
1.1 Explain the nature of the roots of quadratic equations, the rules of exponents and logarithms and a function
1.2 Explain the relationship between a domain, range and function
1.3 Rewrite an exponential equation in logarithmic form and a logarithmic equation in exponential form
1.4 Compute maximum and minimum values of quadratic functions, composite functions, inverse functions, the area of a polygon, the equation of a straight line, locus, measures of central tendency and measures of dispersion and probability
1.5 Analyse the impact of quadratic inequalities, polynomial equations, exponential equations, logarithmic equations and simultaneous equations on hardware design
2. Understand the statistics underpinning information technology
2.1 Calculate summary measures correctly
2.2 Define and interpret probability models
2.3 Evaluate methods of estimation and hypothesis testing
2.4 Analyse the concepts of statistical methodologies
Indicative Content
Functions
Quadratic equations
Simultaneous equations
Indices and logarithms
Exponential and logarithmic equations
Coordinate geometry
Equation of straight line and locus
Measures of central tendency
Measures of dispersion
Permutations and combinations
Probability
Probability distribution
Descriptive and inferential statistics, variables, data types and collection, sampling
Frequency distribution and presentation of data
Measures of location
Measures of dispersion, skewness and coefficient of variation
Index
Time series
Probability
Discrete probability distribution
Normal distribution
Confidence intervals
Hypothesis testing
Testing the difference between two means, two proportion
Correlation and regression
Chi-squared tests and quality control
Recommended Text
Lan Foo Huat, Yong Kien Cheng (2017) Essential SPM Additional Mathematics, Sasbadi Wong
Pek Wei, Dr. Wong Sin Mong (2016) Success Additional Mathematics SPM, Oxford Fajar
J.S. Ratti, Marcus S. McWaters (2015) College Algebra and Trigonometry, 3rd Edition, Addison
Wesley Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger, (2016) Algebra and Trigonometry, 5th Edition, Addison Wesley
Allan G. Bluman (2015) Elementary Statistics A Step by Step Approach, 9th Edition, McGraw Hill
Prem S. Mann (2017) Introductory Statistics, 9th Edition, John Wiley & Sons
Allan G. Bluman (2017) Elementary Statistics A Step by Step Approach, 10 Edition, McGraw Hill
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