MATH401 – Engineering Mathematics
Module code
MATH401
Module title
Engineering Mathematics
Prescription
To develop mathematical skills, concepts and understanding in order to perform calculations and solve problems within engineering contexts.
Programmes
- SX1705
NZQA Level
Level 4
NZQA Credits
15
Delivery method
- Web-Supported
Learning hours
- Total learning hours
- 150
Resources required
- Learning Outcomes
- Manipulate and solve algebraic expressions and equations
Solve, manipulate and apply mathematical functions, including application of graphs where appropriate
Apply the rules and principles of trigonometry using both degree and radian measure
Demonstrate knowledge of differentiation and integration techniques and apply them to solve engineering problems
Demonstrate knowledge and application of one of the following:
5.1 Complex numbers, logic expressions and numbers OR
5.2 Basic statistical concepts and techniques. - Content
- -Rules for simplifying, factorising, exponents and fractions; Simple manipulation of surds; Linear equations.
-Basic functions: linear-, quadratic-, exponential-, logarithmic function; Solve quadratic, exponential and log equations; Solve simultaneous equations; Graphs: linear-, polynomial-: logarithmic-, simple rational functions: Amplitude, frequency, period, phase displacement and time displacement of a graph.
-Trigonometric identities and formulae; Degree and radian measure; Solve trigonometric equations; Graphs trigonometric functions; Calculation or areas and volumes.
-Differentiation and integration rules and concepts; Applications of differentiation: tangent to a curve, minima and maxima, optimisation techniques, rate of change of time dependent variable, growth and decay rates; Application of integration: Area under a curve, mean value, RMS (non-trigonometric only), first and second moments of area, Simpson's rule.
-Complex numbers: rectangular and polar conversion, quadratic equation with complex roots, Logic expressions and numbers: Conversions between and operations on binary, hexadecimal, decimal and binary coded decimal numbers; Boolean algebraic expressions.
-Mean, median, range, standard deviation, Scatter diagrams, Regression analysis, Correlations - Teaching and Learning Strategy
- Learning will be facilitated using a range of teaching and learning methods, which may include:
Practical - laboratory; practical or workshop sessions and activities; demonstrations
Theory - includes web-supported tutor facilitated/directed presentations; lectures and tutorials; group activities; peer presentations and review; group/individual research; online learning activities; case studies; guest speakers - Assessment Criteria
- Portfolio of Evidence100
Assessment in this module is achievement-based. The portfolio is comprised of multiple assessment tasks. To pass this module all tasks must be submitted and an overall minimum pass mark of 50 is required.
