# MATH06098 2019 Mathematics 101H

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**Description**

Applications of differentiation and integration; introduction to differential equations and complex numbers.

### Learning Outcomes

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

**1.**

Apply differentiation to sketch curves and optimise functions of one variable

**2.**

Apply integration to find areas and volumes

**3.**

Solve first order separable differential equations

**4.**

Calculate the partial derivatives of functions of several variables

**5.**

Apply De Moivre’s Theorem to find the powers of complex numbers

### Indicative Syllabus

Apply differentiation to sketch curves and optimise functions of one variable

Apply integration to find areas and volumes (using substitution, integration by parts, partial fractions and trigonometric substitutions)

Solve first order separable differential equations

Calculate the partial derivatives of functions of several variables

Algebra and geometry of complex numbers.

Apply De Moivre’s Theorem to find the powers of complex numbers

### 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 | 3 | Weekly | 3.00 |

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

Independent Learning | UNKNOWN | 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