MATH06090 2018 Mathematics 2
Full Title
Mathematics 2
Transcript Title
Mathematics 2
Code
MATH06090
Attendance
N/A %
Subject Area
MATH - 0541 Mathematics
Department
COMP - Computing & Creative Practices
Level
06 - Level 6
Credit
05 - 05 Credits
Duration
Semester
Fee
€
Start Term
2018 - Full Academic Year 2018-19
End Term
9999 - The End of Time
Author(s)
John Weir, Donny Hurley, Fran O'Regan
Programme Membership
SG_KAPPL_H08 201800 Bachelor of Arts (Honours) in Computing in Application Design and User Experience
SG_KSMAR_H08 201800 Bachelor of Science (Honours) in Computing in Smart Technologies
SG_KSODV_H08 201800 Bachelor of Science (Honours) in Computing in Software Development
SG_KNCLD_H08 201800 Bachelor of Science (Honours) in Computing in Computer Networks and Cloud Infrastructure
SG_KAPPL_B07 201800 Bachelor of Arts in Computing in Application Design and User Experience
SG_KNCLD_B07 201800 Bachelor of Science in Computing in Computer Networks and Cloud Infrastructure
SG_KCMPU_H08 201800 Bachelor of Science (Honours) in Computing
SG_KSMAR_C06 201800 Higher Certificate in Science in Computing in Smart Technologies
SG_KSMAR_B07 201800 Bachelor of Science in Computing in Smart Technologies
SG_KGAME_C06 201800 Higher Certificate in Science in Games Development
SG_KGADV_B07 201800 Bachelor of Science in Computing in Games Development
SG_KAPPL_C06 201800 Higher Certificate in Science in Computing in Application Design and User Experience
SG_KSODV_B07 201800 Bachelor of Science in Computing in Software Development
SG_KNETW_C06 201800 Higher Certificate in Science in Computing in Computer Networks
SG_KSODV_C06 201800 Higher Certificate in Science in Software Development
SG_KCMPU_C06 201800 Higher Certificate in Science in Computing in Computing
SG_KCMPU_B07 201800 Bachelor of Science in Computing in Computing
SG_KAPPL_H08 201900 Bachelor of Arts (Honours) in Computing in Application Design and User Experience
SG_KSMAR_H08 201900 Bachelor of Science (Honours) in Computing in Smart Technologies
SG_KSODV_H08 201900 Bachelor of Science (Honours) in Computing in Software Development
SG_KCMPU_H08 201900 Bachelor of Science (Honours) in Computing
SG_KSMAR_C06 201900 Higher Certificate in Science in Computing in Smart Technologies
SG_KCMPU_C06 201900 Higher Certificate in Science in Computing in Computing
SG_KCMPU_B07 201900 Bachelor of Science in Computing in Computing
SG_KNCLD_B07 201900 Bachelor of Science in Computing in Computer Networks and Cloud Infrastructure
SG_KNCLD_H08 201900 Bachelor of Science (Honours) in Computing in Computer Networks and Cloud Infrastructure
SG_KSODV_B07 201900 Bachelor of Science in Computing in Software Development
SG_KNCLD_H08 202000 Bachelor of Science (Honours) in Computing in Computer Networks and Cloud Infrastructure
SG_KCMPU_H08 202000 Bachelor of Science (Honours) in Computing
SG_KSODV_H08 202000 Bachelor of Science (Honours) in Computing in Software Development
SG_KSMAR_H08 202000 Bachelor of Science (Honours) in Computing in Smart Technologies
SG_KAPPL_H08 202100 Bachelor of Arts (Honours) in Computing in Application Design and User Experience
SG_KCNCS_H08 202100 Bachelor of Science (Honours) in Computing in Computer Networks and Cyber Security
SG_KCNCS_B07 202100 Bachelor of Science in Computing in Computer Networks and Cyber Security
SG_KGADV_B07 202100 Bachelor of Science in Computing in Games Development
SG_KSODV_B07 202100 Bachelor of Science in Computing in Software Development
SG_KSODV_H08 202100 Bachelor of Science (Honours) in Computing in Software Development
SG_KCMPU_H08 202100 Bachelor of Science (Honours) in Computing
SG_KCMPU_C06 202100 Higher Certificate in Science in Computing
SG_KCMPU_B07 202100 Bachelor of Science in Computing
SG_KSMAR_H08 202100 Bachelor of Science (Honours) in Computing in Smart Technologies
SG_KSODV_H08 202200 Bachelor of Science (Honours) in Computing in Software Development
SG_KCMPU_H08 202200 Bachelor of Science (Honours) in Computing
SG_KSODV_H08 202400 Bachelor of Science (Honours) in Computing in Software Development
SG_KCMPU_H08 202400 Bachelor of Science (Honours) in Computing
SG_KAPPL_H08 202400 Bachelor of Arts (Honours) in Computing in Application Design and User Experience
SG_KNCLD_H08 202400 Bachelor of Science (Honours) in Computing in Computer Networks and Cloud Infrastructure
Description
This subject adds further to the Mathematical skills set for students in the computing area. The module begins with a section on relations and functions and properties associated with these. The middle section covers matrix algebra and also covers probability, combinations and permutations. In the latter stage of the module time is spent on developing competence in trigonometry, complex numbers and quaternions.
Learning Outcomes
On completion of this module the learner will/should be able to;
1.
Distinguish and classify properties of relations and functions.
2.
Show competence in performing matrix operations and solving matrix equations.
3.
Demonstrate competence in calculating probabilities.
4.
Utilize trigonometric functions and solve trignometric equations.
5.
Demonstrate competence in the use of complex numbers and quaternions.
Teaching and Learning Strategies
The student will engage with the content of the module through lectures and tutorials.
The student will work on practical examples and exercise sheets to develop and apply their learning.
Module Assessment Strategies
Written examination at end of semester and also a written examination around mid-semester.
Repeat Assessments
The repeat assessment will involve a repeat examination.
Indicative Syllabus
1. Relations: Properties such as domain, range, restriction, anti-restriction, composition, inverse, reflexive, symmetric, transitive and equivalence. Functions: properties such as injective, surjective, bijective, composition, inverse.
2. Matrices: operations, determinant, inverse, solution of equations.
3. Probability: sample space, mutually exclusive events, independent events, conditional probability, Bayes theorem, probability trees, expected value, combinations and permutations.
4. Trigonometry: angles, trignometric functions, inverse trignometric functions, trignometric identities, trignometric equations, polar co-ordinates.
5. Complex numbers and quaternions: Cartesian, polar and exponential form, conjugate, arithmetic operations, DeMoivre's theorem.
Coursework & Assessment Breakdown
Coursework & Continuous Assessment
30 %
End of Semester / Year Formal Exam
70 %
Coursework Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | Continuous assessment breakdown | Coursework Assessment | Closed Book Exam | 30 % | Week 7 | 1,2,3 |
End of Semester / Year Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | End of term exam | Final Exam | Closed Book Exam | 70 % | End of Term | 1,2,3,4,5 |
Full Time Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Lecture Theatre | Lecture | 3 | Weekly | 3.00 |
| Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |
| Independent Learning | Not Specified | Independent Learning | 3 | Weekly | 3.00 |
Total Full Time Average Weekly Learner Contact Time 4.00 Hours
Required & Recommended Book List
Recommended Reading
2017 Maths for Computing and Information Technology Prentice Hall
2017 Maths for Computing and Information Technology Prentice Hall
Recommended Reading
2017 Discrete maths for Computing Palgrave MacMillan
2017 Discrete maths for Computing Palgrave MacMillan
Recommended Reading
2016 Foundation Mathematics Pearson
2016 Foundation Mathematics Pearson