MATH06067 2012 Mathematics 3
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;
Perform essential vector operations
Carry out useful co-ordinate geometry calculations
Use matrix algebra to perform linear transformations e.g. translations, rotations, projections
Carry out differential calculus
Module Dependencies
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 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
Giannasi & Low, 2010, Mathematics for Computing and Information Tecnology
Grossman, 2010, Discrete mathematics for Computing
Edwards & Penny, 2010, Calculus and Analytic Geometry
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