# MATH06097 2019 Mathematics 201

**Full Title**

Mathematics 201

**Transcript Title**

Mathematics 201

**Code**

MATH06097

**Attendance**

N/A %

**Subject Area**

MATH - Mathematics

**Department**

CENG - Civil Eng. and Construction

**Level**

06 - NFQ Level 6

**Credit**

05 - 05 Credits

**Duration**

Semester

**Fee**

€

**Start Term**

2019 - Full Academic Year 2019-20

**End Term**

9999 - The End of Time

**Author(s)**

Leo Creedon, Fergal Gallagher

**Programme Membership**

SG_ECVIL_B07 201900 Bachelor of Engineering in Engineering in Civil Engineering
SG_ECVIL_B07 201900 Bachelor of Engineering in Engineering in Civil Engineering
SG_ECIVI_C06 201900 Higher Certificate in Engineering in Civil Engineering
SG_ECVIL_B07 202000 Bachelor of Engineering in Engineering in Civil Engineering

**Description**

Use differentiation and integration techniques, perform calculations using complex numbers.

### Learning Outcomes

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

**1.**

Use the remainder theorem and the factor theorem

**2.**

Find partial fractions

**3.**

Apply differentiation and integration techniques to algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions

**4.**

Solve optimisation, area and volume problems using calculus

**5.**

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

### Indicative Syllabus

- Remainder Theorem and Factor Theorem
- Partial Fractions
- Applications of differentiation to engineering problems
- Parametric and implicit differentiation
- Partial differentiation of functions such as z =f(x,y,w)
- Integration by substitution, partial fractions, and integration by parts
- Finding areas and volumes using integration
- Algebra and geometry of complex numbers including De Moivre’s Theorem.

### Coursework & Assessment Breakdown

**Coursework & Continuous Assessment**

20 %

**End of Semester / Year Formal Exam**

80 %

### Coursework Assessment

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

1 | Continuous Assessment | Continuous 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 Year | 1,2,3,4,5 |

### Full Time Mode Workload

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

Lecture | Flat Classroom | Theory | 5 | Weekly | 5.00 |

Tutorial | Not Specified | Tutorial | 1 | Weekly | 1.00 |

Independent Learning | UNKNOWN | Review of Course Material | 3 | Weekly | 3.00 |

Total Full Time Average Weekly Learner Contact Time 6.00 Hours

### Module Resources

**Non ISBN Literary Resources**

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

Bird, J., (2007). Engineering Mathematics. Any Edition. Routledge.

**Other Resources**

www.mathcentre.ac.uk

www.khanacademy.org

IT Sligo Maths Support Centre