MATH06090 2018 Mathematics 2

General Details

Full Title
Mathematics 2
Transcript Title
Mathematics 2
Code
MATH06090
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
COMP - Computing & Creative Practices
Level
06 - NFQ 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
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 Continuous 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

Recommended Reading
2017 Discrete maths for Computing Palgrave MacMillan

Recommended Reading
2016 Foundation Mathematics Pearson

Module Resources