This is an introductory module in mathematics and computing.
The mathematics component introduces the student to fundamental mathematical concepts and methods that they will encounter in engineering. It revises and builds upon knowledge already gained from previous studies in mathematics.
The computing component introduces the learner to a suite of tools and techniques for developing numerical and computational skills aimed at allowing them to solve numerical problems using spreadsheets and to be able to communicate results effectively.
Mathematics:
• Introduction: Fractions, Percentages, Ratios, Proportion. Transposition and substitution of formulae. Law of indices and logarithms. Solution of quadratic equations. Binomial expansion.
• Mensuration: Determinations of surface areas and volumes of regular solids.
• Trigonometry: Properties of triangles. Trigonometric ratios. Sine and cosine rules. Degree and Radian measure.
• Graphical Methods: Linear, quadratic, cubic, logarithmic and exponential curves. Determination of laws by reduction to linear form. Sine and cosine graphs.
• Differential Calculus: Derivatives of elementary functions. Sums, products, quotients and composite functions. Maxima, minima, points of inflexion.
• Integral Calculus: Indefinite and definite integrals of simple algebraic, trigonometric, log and exponential functions. Areas under curves and average values.
• Statistics: Presentation of data. Discrete and continuous data. Measures of central tendency and dispersion. Permutations and combinations.
• Probability: Addition Law. Multiplication Law for independent events. Mutually exclusive events. Conditional probability.
Computing:
• Spreadsheet Basics: Workbooks, worksheets and cells. Formulae and functions. Mathematical forms and operations. Absolute, relative and mixed cell referencing. Named ranges. Editing and formatting spreadsheet elements. Chart types and charting techniques.
• Basic Functions: To include but not limited to; SUM, AVERAGE, MAX, MIN, COUNT, COUNTIF.
• Advanced Functions: Logical functions; AND, OR, NOT, IF. Lookup and reference functions; LOOKUP, HLOOKUP, VLOOKUP. Trigonometric function; SIN, COS, TAN. Nesting functions.
Mathematics:
Instruction will consist of 2 hours of lectures and a 1 hour tutorial per week. The emphasis of course delivery will be ‘hands-on’ problem solving to develop students’ confidence and ability.
Computing:
The computing laboratory provides an environment for the learner to develop, experiment with and explore the tools and techniques demonstrated in order to various problems linked to the module content. Students may be required to complete assigned exercises outside of the time allocated to the laboratory.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 70 |
| Other Assessment(s) | 30 |