# MATH06070 2019 Mathematics for Science 2

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**Description**

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;*

**1.**

Analyse and sketch polynomial functions of a linear, quadratic and cubic nature. Discuss real world applications of these functions

**2.**

Analyse and sketch functions of a sinusoidal and rational nature. Discuss real world applications of these functions

**3.**

Analyse and sketch functions of a logarithmic and exponential nature. Discuss real world applications of these functions

**4.**

Use differential Calculus to analyse max/min curves and solve optimisation problems.

**5.**

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

### Module Dependencies

**Prerequisites**

**Co-requisites**

**Incompatibles**

### 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 & Continuous Assessment**

**End of Semester / Year Formal Exam**

### Coursework Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|

1 | Moodle quizzes | Continuous Assessment | Assessment | 10 % | OnGoing | 1,2,3,4,5 |

2 | CA test | Continuous Assessment | Assessment | 20 % | Week 10 | 1,2,3,4 |

### End of Semester / Year Assessment

Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
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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

**Required Reading**

2012-09-06

*Maths for Science*OUP Oxford

ISBN 0199644969 ISBN-13 9780199644964

Maths for science. 401pp. Good clean condition.

### Module Resources

**Non ISBN Literary Resources**

Maths for Science - Jordan, Ross & Murphy OUP

Foundation Maths - Anthony Croft & Robert Davison- Pearson Press.

**Journal Resources**

None

**URL Resources**

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.

**Other Resources**

None

**Additional Information**

None