MATH06091 2018 Mathematics 3

General Details

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_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_KNETW_C06 201800 Higher Certificate in Science in Computing in Computer Networks SG_KSODV_C06 201800 Higher Certificate in Science 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
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 Continuous 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

Recommended Reading
2017 Discrete Maths for Computing Palgrave MacMillan

Module Resources