MATH06070 2019 Mathematics for Science 2
This module introduces the functions which occur most commonly in science and ways of examining their behaviour. The primary focus is to understand where these functions occur, both in real life and science, and to provide students with the ability to recognise and analyse them appropriately. The module also introduces statistical methods and analysis.
Learning Outcomes
On completion of this module the learner will/should be able to;
Analyse and sketch polynomial functions of a linear, quadratic and cubic nature. Discuss real world applications of these functions
Analyse and sketch functions of a sinusoidal and rational nature. Discuss real world applications of these functions
Analyse and sketch functions of a logarithmic and exponential nature. Discuss real world applications of these functions
Use differential Calculus to analyse max/min curves and solve optimisation problems.
Identify different types of data and use appropriate tables and curves to analyse data sets.
Teaching and Learning Strategies
This module will be delivered full time. This will include live lectures supported by online VLE (Moodle) based notes, videos and associated quizzes.
Module Assessment Strategies
This module is 30% Continuous Assessment and 70% Final Exam
Students are required to achieve 100% in each online Quiz before the deadline. (Summative)
Students complete 1 CA test based on these online Quizzes, (Summative)
Repeat Assessments
Repeat Continuous Assessment and/or Final Exam
Indicative Syllabus
Analyse and sketch polynomial functions of a linear, quadratic and cubic nature. Discuss real world applications of these functions
- Solving linear and quadratic functions
- Sketching linear quadratic and cubic curves,
- Real world applications of these.
Analyse and sketch functions of a sinusoidal and rational nature. Discuss real world applications of these functions
- Basic trigonometry
- Unit circle
- Sketching and analysing Sine waves
- Rational functions
- Real world applications of these.
Analyse and sketch functions of a logarithmic and exponential nature. Discuss real world applications of these functions
- Exponential growth and decay in Science
- Sketching exponential and log functions
- Using the log laws to solve logarithmic equations
- pH & dB calculations.
Use differential Calculus to analyse max/min curves and solve optimisation problems.
- Differential Calculus
- From first principles
- By rule
- Max/min problems
- Analysing max/min curves
Identify different types of data and use appropriate tables and curves to analyse data sets.
- Characteristics of data
- Measures of central tendency and dispersion
- Frequency distribution and cumulative frequency tables
- Charts, histograms and ogives.
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Moodle quizzes | Coursework Assessment | Assessment | 10 % | OnGoing | 1,2,3,4,5 |
2 | CA test | Coursework Assessment | Assessment | 20 % | Week 10 | 1,2,3,4 |
End of Semester / Year Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Final Exam | Final Exam | Closed Book Exam | 70 % | End of Term | 1,2,3,4,5 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Tiered Classroom | Lecture | 2 | Weekly | 2.00 |
Tutorial | Flat Classroom | Maths practical | 1 | Weekly | 1.00 |
Independent Learning | Not Specified | Self Study | 4 | Weekly | 4.00 |
Required & Recommended Book List
2012-09-06 Maths for Science OUP Oxford
ISBN 0199644969 ISBN-13 9780199644964
Maths for science. 401pp. Good clean condition.
Module Resources
Maths for Science - Jordan, Ross & Murphy OUP
Foundation Maths - Anthony Croft & Robert Davison- Pearson Press.
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Mathematics for Science (Semester 2) - Moodle site.
Maths Learning Centre IT Sligo
www.mathtutor.ac.uk online videos and tutorials relating to many topics on the module.
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