MATH06091 2018 Mathematics 3
Full Title
Mathematics 3
Transcript Title
Mathematics 3
Code
MATH06091
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
COEL - Computing & Electronic Eng
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_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_KNCLD_B07 201800 Bachelor of Science in Computing in Computer Networks and Cloud Infrastructure
SG_KSMAR_C06 201800 Higher Certificate in Science in Computing in Smart Technologies
SG_KCMPU_H08 201800 Bachelor of Science (Honours) in Computing
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_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_KSOFT_B07 201800 Bachelor of Science in Computing in Software Development
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_KNCLD_B07 202100 Bachelor of Science in Computing in Computer Networks and Cloud Infrastructure
SG_KNCLD_B07 202100 Bachelor of Science in Computing in Computer Networks and Cloud Infrastructure
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
Description
This subject adds further to the Mathematical skill set of computing students. The module begins with the student developing competence in the usage and application of various co-ordinate geometry formulae and then looks at the application of matrices to transformations of geometric objects. The middle section of the module spends time on differentiation and its applications. The final section develops competence in performing vector operations.
Learning Outcomes
On completion of this module the learner will/should be able to;
1.
Demonstrate competence in co-ordinate geometry calculations.
2.
Apply matrix algebra to linear transformations.
3.
Solve problems by determining and using derivatives.
4.
Show competence in the use of partial derivatives.
5.
Demonstrate competence in vector operations
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. Co-ordinate geometry and linear transformations: Distance, midpoint, divisors, slope, angle between lines. Equation of a line and plane. Equation of a circle and sphere. Tangent and normal line and plane.
2. Matrix representation of transformations such as rotations and translations, Apply matrices to composite transformations on geometric objects.
3. Differentiation: Derivatives, higher derivatives of polynomial, trignometric, exponential and logarithmic functions. Product, quotient and chain rule. Applications such as finding equations of tangent and normal lines, rate of change problems, optimisation problems. Newton Raphson approximation method.
4.Partial Differentiation: Partial derivatives, higher partial derivatives. Applications such as finding equations of tangent planes and normal planes, rate of change problems, optimisation problems.
5. Vectors: components of a vector, unit vector, direction cosines, scaler product, vector product, angle between vectors, differentiation of vectors.
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 |
End of Semester / Year Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | End of term exam | Final Exam | Closed Book Exam | 70 % | Week 7 | 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