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## CSM1033 - Mathematics 1B (2012)

MODULE TITLE | Mathematics 1B | CREDIT VALUE | 15 |
---|---|---|---|

MODULE CODE | CSM1033 | MODULE CONVENER | Ken O'Brien (Coordinator) |

DURATION: TERM | 1 | 2 | 3 |
---|---|---|---|

DURATION: WEEKS | 10 |

Number of Students Taking Module (anticipated) | 74 |
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Mathematics is at the heart of all Science and Engineering subjects. Provided the student has at least a good grade at GCSE maths and they have taken the CSM1027 module in term one, this module takes students of all levels of experience or confidence in maths and brings them up to a level required to use maths as a tool in their other chosen pathways and modules. As well as providing a clear reinforcement of those areas of maths that will be required, the module has in place a number of levels of support for students who feel they need to address perceived weakness in the subject.

*The module is suitable for non-specialist students. The module is recommended for interdisciplinary pathways.*

The module aims to extend the work encountered in CSM1027 and covers a range of engineering maths topics. The module includes an introduction to the software package MathCad.

**Module Specific Skills and Knowledge:**

1. Use Level 1 mathematical skills in algebra, trigonometry, calculus and statistics, ensuring that more advanced topics may be studied with confidence in later modules.

**Discipline Specific Skills and Knowledge:**

2. Formulate in mathematical and statistical terms simple problems encountered in geo-scientific and energy related areas.

3. Take data from a range of sources and undertake simple modeling tasks with external guidance.

**Personal and Key Transferable/ Employment Skills and Knowledge:**

4. Apply given tools/methods accurately and appropriately to a well defined problem and further appreciate the complexity of mathematical issues in the degree discipline.

5. Present mathematical work, and communicate conclusions to a wide audience in a clear and logical way.

6. Demonstrate familiarity with the software package MathCad to support the study and communication of mathematics.

Week 1 Elementary theory of matrices; elementary theory of determinants; solution of equations.

Week 2 Elementary vector theory and applications.

Week 3 Complex numbers.

Week 4 Further differentiation; Applications.

Week 5 Numerical integration; e.g. Simpson’s rule

Week 6 Integration (i) by substitution; (ii) by partial fractions; (iii) by parts / Engineering applications

Week 7 Statistics & Probability.

Week 8 Linear correlation & regression.

Week 9 Iteration techniques; Newton-Raphson.

Week 10 Final topic tutorial and module review.

MathCAD:

Graphs: drawing, finding gradients and areas under curves. Variables and functions; linking together, defining variable ranges. Entering formulae, changing the subject of a formula. Introduction to assignment problem.

Scheduled Learning & Teaching Activities | 40.00 | Guided Independent Study | 110.00 | Placement / Study Abroad |
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Category | Hours of study time | Description |

Scheduled learning & teaching activities | 20 | Lectures |

Scheduled learning & teaching activities | 10 | Whole group tutorials |

Scheduled learning & teaching activities | 10 | IT-based practical workshops |

Guided independent study | 110 | Lecture & assessment preparation; wider reading |

An optional foundation stream with:

a) Foundation lectures - 10 hours

b) Small group tutorials - 10 hours

Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|

Weekly tutorial worksheets | 2-3 hours each | 1,4 | Weekly model answers |

Coursework | 40 | Written Exams | 60 | Practical Exams |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
---|---|---|---|---|

7 MCQ tests (CMA1 - CMA6) |
10 | 1-2 hours each | 1 | Computer-based |

2 written courseworks (TMA1 - TMA3) |
15 | 3-5 hours each | 1-5 |
In-script marks, summary comments & tutorial discussion |

A computer-based MathCad in-class test |
15 | 1 hour | 6 | Summary comments |

Examination | 60 | 2 hours | 1-4 | Tutor meeting |

Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-reassessment |
---|---|---|---|

Summative assessment | Additional assessment | All | August Ref/Def period |

Examination | Additional examination | All | August Ref/Def period |

As above 1 piece of CW 40% and/or 1 Exam 60%

information that you are expected to consult. Further guidance will be provided by the Module Convener

*ELE – College to provide hyperlink to appropriate pages*

*HELM & MathAid(UoP) *

Web based and electronic resources:

*MathCentre: www.mathcentre.ac.uk *

Reading list for this module:

Type | Author | Title | Edition | Publisher | Year | ISBN | Search |
---|---|---|---|---|---|---|---|

Set | Stroud, K A | Engineering Mathematics | Macmillan | 2007 | 000-0-333-94790-8 | [Library] |

CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
---|---|---|---|

PRE-REQUISITE MODULES | CSM1027 |
---|---|

CO-REQUISITE MODULES |

NQF LEVEL (FHEQ) | 1 (NQF Level 4) | AVAILABLE AS DISTANCE LEARNING | No |
---|---|---|---|

ORIGIN DATE | Monday 12 March 2012 | LAST REVISION DATE | Wednesday 17 October 2012 |

KEY WORDS SEARCH | Engineering, Mathematics |
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