Module Descriptors
INTRODUCTORY MATHEMATICS
COIS31040
Key Facts
Digital, Technology, Innovation and Business
Level 3
30 credits
Contact
Leader: Steven Sims
Hours of Study
Scheduled Learning and Teaching Activities: 78
Independent Study Hours: 222
Total Learning Hours: 300
Assessment
  • CLASS TESTS weighted at 75%
  • ASSIGNMENT weighted at 25%
Module Details
ADDITIONAL ASSESSMENT DETAILS
1. 75% test comprising a suite of four one-hour tests assessing Learning Outcomes 1 - 4.

2. 25% spreadsheet based assignment assessing Learning Outcomes 1 - 5.

The assignment will be the final assessment.
INDICATIVE CONTENT
Numeracy - Use of electronic calculator, work with integers, fractions, decimals, percentages and ratios. Powers and roots, scientific notation. Accuracy: significant figures and decimal places, maximum possible error of a calculation. Binary, octal and hexadecimal systems: manual conversion and use of number system facilities on electronic calculators.

Financial arithmetic - Compound interest, APR and net present value.

Algebra - Simplification and evaluation of algebraic expressions. Manipulation and solution of equations, solution of quadratic equations including the use of the quadratic formula. Use of algebra to express relationships, proportional variation, independent and dependent variables. Solving simultaneous equations.
Co-ordinate Geometry - Use of Cartesian co-ordinates, distance between points, the slope of a line joining two points, dividing a line in a given ratio. The equation of a straight line. Solution of simultaneous equations graphically and algebraically. Graphical solution of polynomial functions.
Introduction to functions - form, notation, plotting, evaluating, polynomial functions.
Set theory - Use of the universal set, the empty set, set membership, union, intersection and complement of sets. Solution to problems using Venn diagrams. Number set members restricted to integers, rationals and reals.

Probability - Concept of probability, sample spaces, addition law for mutually exclusive events, multiplication law for independent events. Tree diagrams.

Descriptive Statistics - Graphical presentation of data: pie charts, histograms and cumulative frequency diagrams. Measures of central tendency: mean, mode and median for individual and grouped data. Measures of dispersion: range, variance and standard deviation.
Trigonometry ¿ Pythagoras¿s rule and the basic trigonometric identities.
An introduction to spreadsheets basics and using spreadsheets to support and complement the core mathematical content such where appropriate such as in the areas of co-ordinate geometry, functions, and descriptive statistics.
TEXTS
Foundation Mathematics, K. A. Stroud & D. J. Book, Palgrave Macmillan, 2009, ISBN-10: 0230579078, ISBN-13: 978-0230579071

How to Improve Your Maths Skills, Lakin, 2011, Prentice Hall, ISBN-13: 978-0273770022.

Complete Mathematics: Teach Yourself, Johnson & Neill, 2010, Teach Yourself, ISBN-13: 978-1444105025.

Microsoft Office Excel 2010 Step by Step, Curtis Frye, 2010, Microsoft Press, ISBN-13: 978-0735626942.
LEARNING OUTCOMES
1) DEMONSTRATE KNOWLEDGE AND UNDERSTANDING OF BASIC MATHEMATICAL AND STATISTICAL CONCEPTS AND PROCESSES APPLICABLE TO COMPUTING. (Knowledge and Understanding).
2) IDENTIFY APPROPRIATE METHODOLOGY FOR SOLVING QUANITATIVE PROBLEMS. (Application)
3) APPLY SUITABLE MATHEMATICAL OR STATISTICAL TECHNIQUES TO OBTAIN SOLUTIONS. (Application)
4) INTERPRET IN CONTEXT THE SOLUTION(S) TO QUANTITATIVE PROBLEMS. (Analysis, Application).
5) MAKE USE OF A SPREADSHEET TO CARRY OUT QUANTITATIVE ANALYSIS. (Analysis, Application)/
Module Learning Strategies
Core material will be delivered through 26 hours of lectures coupled with 52 hours of tutorials to practice and gain confidence with the techniques met in lectures, together with 26 hours of computer laboratory sessions where the appropriate spreadsheet skills will be developed.