# ADVANCED MATHEMATICS AND COMPUTING A - 2020/1

Module code: ENG0019

## Module Overview

The module is designed to develop and extend the critical thinking skills and problem solving skills of the students beyond that which would normally be acquired in an A-level (or comparable level) course. From a theoretical perspective, students will study pure mathematics, probability & statistics together with some applied computational mathematics. The practical computing aspect of the module brings together a variety of techniques in data processing, analysis, modelling and probability and statistics so that students may further advance their problem solving skills and apply some of the theory within a variety of interesting and challenging contexts.

### Module provider

Civil and Environmental Engineering

### Module Leader

HARRISON Richard (FEPS)

### Number of Credits: 15

### ECTS Credits: 7.5

### Framework: FHEQ Level 3

### Module cap (Maximum number of students): 50

## Overall student workload

Independent Learning Hours: 117

Lecture Hours: 11

Tutorial Hours: 11

Laboratory Hours: 11

## Module Availability

Semester 1

## Prerequisites / Co-requisites

N/A

## Module content

Topics in pure mathematics, applied mathematics and computational methods, probability and statistics, data processing techniques and visualisation, computational (numerical) modelling, transformations of data signals.

## Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Coursework | Computing coursework task | 25 |

School-timetabled exam/test | Continuous assessment (online questions) | 25 |

School-timetabled exam/test | Mathematics component examination (1hr online) | 25 |

School-timetabled exam/test | Continuous assessment (online questions) | 25 |

## Alternative Assessment

Not applicable

## Assessment Strategy

The module has two equally weighted (50%) assessment components reflecting the balance of the mathematics and computing elements.

**Mathematics**

The assessment strategy for the mathematics components is designed to provide students with the opportunity to demonstrate

(i) their knowledge of relatively advanced mathematical concepts and rules

(ii) the development of critical thinking skills in interpreting and solving a variety of problems, in different contexts

(iii) an appropriate and accurate application of the mathematical techniques to a given problem.

Continuous in-semester assessment (25% overall weighting): students will attempt 5 x sets of online questions at regular intervals or at such a time that a particular topic has been covered. The questions will be MCQ/short answer. Each set of questions will carry a weighting of 5%. The duration of the individual assessments will be 30 minutes.

End of module examination (25% overall weighting – 1 hour): students will attempt online questions covering academic content/scenarios not previously assessed in the continuous assessment. The end of module exam will examine all learning objectives for the mathematics component.

Assessment type

UoA

Weight

Time guidance

Time sequence

School-timetabled sum. examination/test

Online Exam

25%

1 hour

Exam period

School-timetabled sum. examination/test

Online test 1

5%

30 mins

Week 2

School-timetabled sum. examination/test

Online test 2

5%

30 mins

Week 4

School-timetabled sum. examination/test

Online test 3

5%

30 mins

Week 6

School-timetabled sum. examination/test

Online test 4

5%

30 mins

Week 8

School-timetabled sum. examination/test

Online test 5

5%

30 mins

Week 10

**Computing **

The assessment strategy for the computing components is designed to provide students with an opportunity to demonstrate

(i) they have grasped more advanced processing techniques in Microsoft Excel

(ii) they have developed critical thinking skills in interpreting and solving a variety of problems, in different contexts

(iii) (iii) they can apply simple processing strategies/algorithmS

(iv) they can select and apply appropriate mathematical methods to a particular computational problem.

Continuous in-semester assessment (25% overall weighting): students will attempt 5 x sets of online questions at regular intervals or at such a time that a particular topic has been covered. The questions will be MCQ/short answer. Each set of questions will carry a weighting of 5%. The duration of the individual assessments will be 30 minutes.

Coursework task (25% overall weighting, in-semester): students will carry out a coursework task covering multiple learning objectives based on and extending the work in the lab worksheets. There will be a practical submission (Excel file) together with online questions. Time guidance for coursework is 6 hours. The single coursework component will assess all learning objectives not already assessed in the continuous assessment.

Assessment type

UoA

Weight

Time guidance

Time sequence

Computing coursework task

Coursework

25%

6 hours

Weeks 5 - 10

School-timetabled sum. examination/test

Online test 1

5%

30 mins

Week 3

School-timetabled sum. examination/test

Online test 2

5%

30 mins

Week 5

School-timetabled sum. examination/test

Online test 3

5%

30 mins

Week 7

School-timetabled sum. examination/test

Online test 4

5%

30 mins

Week 9

School-timetabled sum. examination/test

Online test 5

5%

30 mins

Week 11

Formative ‘assessment’ is ongoing throughout the semester through work on tutorial questions in mathematics and laboratory worksheets.

Feedback from formative assessment is provided orally on a one-to-one basis and to the whole group in tutorial/problems classes. Fully worked solutions to mathematics tutorial problems will be provided via SurreyLearn.

Feedback will be provided on the continuous online assessment via Surreylearn.

A module aggregate score of 50% is required to pass the module.

## Module aims

- • Reinforce and extend existing mathematical knowledge.
- • Develop competency in applying some relatively advanced mathematical concepts.
- • Introduce some of the wider symbolic language of mathematics.
- • Develop critical thinking and problem solving skills in mathematical and computational processes.

## Learning outcomes

Attributes Developed | ||

001 | Solve a variety of problems pure & applied mathematics, probability and statistics. | CKPT |

002 | Interpret and use mathematical symbols and vocabulary. | CKPT |

003 | Apply a problem solving strategy that may involve the use of multiple mathematical concepts. | CKPT |

004 | Construct and manipulate a variety of mathematical statements. | CKPT |

005 | Perform calculations, data analysis, and graphing with Microsoft Excel through the use of formulas, functions and graphical tools. | CKPT |

006 | Use problem solving heuristics and design (or follow) algorithms to carry out a specific sequence of processing steps and calculations. | CKPT |

007 | Implement appropriate numerical methods to model and/or solve mathematical problems. | CKPT |

008 | Construct a mathematical model of a given scenario based on data. | CKPT |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

## Methods of Teaching / Learning

Mathematics component:

The teaching and learning strategy is designed to familiarise students with mathematical concepts and techniques, supported by extensive use of examples and applications; students are engaged in the solution of problems and application of techniques in tutorials/problems classes.

The learning and teaching methods include:

• Lectures (1 hr/week, for 11 weeks) to introduce new concepts and techniques and provide illustrative examples and applications (online or classroom based.)

• Guided self-study to cover certain topics, in order to develop students’ independent learning skills.

• Problem sheets of examples for technique selection and skills development.

• Tutorial classes (1 hr/week for 11 weeks) for the development of skills in problem solving, using problems sheets. Assistance is given both at individual level, and for the group on common areas of difficulty (online or classroom based.)

• Independent learning approx. 5 hrs/week

**Computing component:**

The teaching and learning strategy is designed to facilitate students practical and critical thinking skills development in a challenging problem solving context involving a variety of concepts from mathematics, statistics, data analysis, modelling and computing. The processes, concepts and techniques, are reinforced in a “hands on” manner using dedicated laboratory worksheets designed to be used at the computer. Students are engaged in practical and theoretical tasks as well as critical thinking/problem solving as they work through each laboratory worksheet.

• Computer laboratories (online or in-situ delivery) (1 hr/week, for 11 weeks.)

• Support sessions (online or in-situ delivery) (approximately 5 hours per semester.)

• Independent learning and completing lab worksheets, approximately 5 hrs/week)

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

## Reading list

https://readinglists.surrey.ac.uk

Upon accessing the reading list, please search for the module using the module code: **ENG0019**

## Other information

The module may be delivered fully online, in-situ or as a hybrid such as online mathematics and lab based computing components.

*This module has a capped number and may not be available to ERASMUS and other international exchange students. Please check with the International Engagement Office email: ieo.incoming@surrey.ac.uk*

## Programmes this module appears in

Programme | Semester | Classification | Qualifying conditions |
---|---|---|---|

Mathematics with Foundation Year BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 50% is required to pass the module |

Mathematics with Statistics with Foundation Year BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 50% is required to pass the module |

Financial Mathematics with Foundation Year BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 50% is required to pass the module |

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2020/1 academic year.