# MATH06102 2019 Mathematics 201H

**Full Title**

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**Description**

Taylors theorem, Lagrange multipliers, discrete Fourier transforms, z-transforms, vector algebra.

### Learning Outcomes

*On completion of this module the learner will/should be able to;*

**1.**

Approximate functions with polynomials in one and several variables using Taylor’s Theorem

**2.**

Apply Lagrange Multiples to find the maximum and minimum of functions of several variables

**3.**

Find the discrete Fourier transform of a signal

**4.**

Solve difference equations using the z-transform

**5.**

Compute area, volume and surface Integrals using polar, cylindrical and spherical coordinates.

### Module Dependencies

**Prerequisites**

### Indicative Syllabus

Approximation of functions with polynomials in one and two variables using Taylor’s theorem

Application of Lagrange multiples to find the maximum and minimum of functions of several variables

Discrete Fourier transform

Solve difference equations using the z-transform

Compute area, volume and surface Integrals using polar, cylindrical and spherical coordinates.

### Coursework & Assessment Breakdown

**Coursework & Continuous Assessment**

**End of Semester / Year Formal Exam**

### Coursework Assessment

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

1 | Continuous Assessment | Coursework Assessment | Assessment | 20 % | OnGoing | 1,2,3,4,5 |

### End of Semester / Year Assessment

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

1 | Final Exam | Final Exam | Closed Book Exam | 80 % | End of Term | 1,2,3,4,5 |

### Full Time Mode Workload

Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|

Lecture | Flat Classroom | Lecture | 4 | Weekly | 4.00 |

Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |

Independent Learning | Not Specified | Independent Learning | 4 | Weekly | 4.00 |

### Part Time Mode Workload

Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|

Lecture | Classroom Equipped for OLL. | Lecture | 4 | Weekly | 4.00 |

Tutorial | Classroom Equipped for OLL. | Tutorial | 1 | Weekly | 1.00 |

Independent Learning | Not Specified | Study | 4 | Weekly | 4.00 |

### Module Resources

**Non ISBN Literary Resources**

K.A. Stroud: "Engineering Mathematics", any edition

K.A. Stroud: "Further Engineering Mathematics", any edition

**Other Resources**

www.mathcentre.ac.uk

www.khanacademy.org

IT Sligo Maths Support Centre