# MATH06067 2012 Mathematics 3

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**Description**

To develop a set of essential mathematical skills for computer professionals

### Learning Outcomes

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

**1.**

Perform essential vector operations

**2.**

Carry out useful co-ordinate geometry calculations

**3.**

Use matrix algebra to perform linear transformations e.g. translations, rotations, projections

**4.**

Carry out differential calculus

### Module Dependencies

**Prerequisites**

### Indicative Syllabus

**1. Vectors: **Co-ordinate system, unit vector, direction cosines, scaler product, vector product, angle between vectors.

**2. Co-ordinate geometry and linear transformations:** Distance, midpoint, divisors, slope, angle between lines, equation of a line, perpendicular distance from point to a line. Equation of a circle. Intersection of line and cirle. Tangent line to a cirle. Matrix representation of transformations such as projections, rotations and translations. Apply matrix algebra to composite transformations on geometric objects.

**3. Differential Calculus:** Derivatives and higher derivatives of polynomial, trignometric, exponential and logarithmic functions. Product, quotient and chain rule. Applications of differentiation.

**4. Applications with computers:** Apply computing to some of the above topics.

### 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 Inclass examination | Continuous Assessment | UNKNOWN | 30 % | Week 8 | 1,2,3 |

### End of Semester / Year Assessment

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

1 | Final Exam A 2 hour written examination paper | Final Exam | UNKNOWN | 70 % | End of Term | 1,2,3,4 |

### Full Time Mode Workload

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

Lecture | Lecture Theatre | Lecture | 3 | Weekly | 3.00 |

Tutorial | Flat Classroom | Mathematical problem solving | 1 | Weekly | 1.00 |

Independent Learning | UNKNOWN | Self study | 3 | Weekly | 3.00 |

### Module Resources

**Non ISBN Literary Resources**

Giannasi & Low, 2010, *Mathematics for Computing and Information Tecnology*

Grossman, 2010, *Discrete mathematics for Computing*

Edwards & Penny, 2010, *Calculus and Analytic Geometry*

**Other Resources**

Calculator

**Additional Information**