This module aims to provide students with a broad and solid foundation in mathematical concepts and techniques that they may encounter in subsequent programme modules.
Learning Outcomes
On successful completion of this module the learner will be able to:
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Learning Outcome Description
LO1
Carry out calculations involving trigonometric functions using a calculator and solve right angled and non right angled triangles.
Describe and execute the elementary vector operations in two dimensions.
LO2
Execute the elementary Matrix operations and identify the inverse Matrix relationship and use Matrices to implement two dimensional rotations .
LO3
Laboratory work using online software
Dependencies
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
No recommendations listed
Co-requisite Modules
No Co-requisite modules listed
Additional Requisite Information
No Co Requisites listed
Indicative Content
Trigonometry
Converting from degrees to Radians and Radians to degrees.
Understanding and using Trigonometric ratios and their inverses to solve unknown values in a triangle.,
Using Pythagoras’s Theorem in Right angled triangles.
Solve non-right angled triangles using Sine Rule and Cosine Rule.
Finding the area of a triangle.
Vectors
Addition of vectors in two dimensions. Scalar multiplication and scalar product in two and three dimensions.
Using Graphical representations of vectors in two dimensions.
Finding angles between vectors.
Matrices
Identifying the dimensions of a matrix.
Addition of matrices.
Multiplication of matrices.
Transposing a matrix.
Finding the inverses of 2x2 and 3x3 matrices.
Calculating determinants of 2x2 and 3x3 matrices.
Using Cramer's Rule to solve a system of 2 linear equations with 3 unknown variables.
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
20.00%
Practical
30.00%
End of Module Formal Examination
50.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Examination
% of Total Mark
20
Timing
n/a
Learning Outcomes
1,2
Non-marked
No
Assessment Description n/a
No Project
Practical
Assessment Type
Practical/Skills Evaluation
% of Total Mark
30
Timing
n/a
Learning Outcomes
3
Non-marked
No
Assessment Description n/a
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
50
Timing
End-of-Semester
Learning Outcomes
1,2
Non-marked
No
Assessment Description Final Exam
Reassessment Requirement
Repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
Reassessment Description One written exam.
SETU Carlow Campus reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time
Workload Type
Workload Category
Contact Type
Workload Description
Frequency
Average Weekly Learner Workload
Hours
Lecture
Contact
Lecture
12 Weeks per Stage
2.00
24
Laboratory
Contact
Laboratory
12 Weeks per Stage
1.00
12
Estimated Learner Hours
Non Contact
Learner Hours
15 Weeks per Stage
5.93
89
Total Weekly Contact Hours
3.00
Module Resources
Recommended Book Resources
Ralph P. Grimaldi. Discrete and Combinatorial Mathematics, 5th. Pearson College Division, p.980, [ISBN: 0201726343].
Frank Giannasi,Robert Low. Maths for Computing and Information Technology, Addison-Wesley Longman, p.259, [ISBN: 0582236541].
Vince, John. Foundation Mathematics for Computer Science, [ISBN: 03319214375].
This module does not have any article/paper resources