MATH07039 2019 Mathematics 302H
Full Title
Mathematics 302H
Transcript Title
Mathematics 302H
Code
MATH07039
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
CENG - Civil Eng. and Construction
Level
07 - NFQ Level 7
Credit
05 - 05 Credits
Duration
Semester
Fee
€
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
Leo Creedon, Fergal Gallagher
Programme Membership
SG_ECIVL_K08 201900 Bachelor of Engineering (Honours) in Civil Engineering (Add-on)
Description
A geometric approach to vectors, matrices and vector fields in three dimensions.
This module will be approximately 8 weeks in duration due to work placement.
Learning Outcomes
On completion of this module the learner will/should be able to;
1.
Find the scalar and cross product of vectors with applications including the projection of vectors, angles, areas, volumes and angular velocity
2.
Find the vector equations of lines and planes in three dimensions
3.
Determine the linear independence of vectors with geometric interpretation
4.
Find functions of vectors including linear transformations and isometries as matrix operations including rotation and reflection. Find eigenvalues and eigenvectors
Indicative Syllabus
Vector algebra, addition and subtraction, scalar multiplication, triangle law for addition.
Scalar product and cross product of vectors with applications including the projection of vectors, angles, areas, volumes and angular velocity
Find the vector equations of lines and planes in three dimensions
Linear Independence of vectors, vector spaces, basis, dimension and rank
Vector functions including linear transformations and isometries as matrix operations, including rotations, reflections and dilations.
Eigenvalues and eigenvectors.
Coursework & Assessment Breakdown
Coursework & Continuous Assessment
20 %
End of Semester / Year Formal Exam
80 %
Coursework Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | Continuous Assessment | Coursework Assessment | Assessment | 20 % | OnGoing | 1,2,3,4 |
End of Semester / Year Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | Final Exam | Final Exam | Closed Book Exam | 80 % | End of Term | 1,2,3,4 |
Full Time Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Flat Classroom | Lecture | 5 | Weekly | 5.00 |
| Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |
| Independent Learning | Not Specified | Independent Learning | 5 | Weekly | 5.00 |
Total Full Time Average Weekly Learner Contact Time 6.00 Hours
Part Time Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Flat Classroom | Lecture | 5 | Weekly | 5.00 |
| Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |
| Independent Learning | Not Specified | Independent learning | 5 | Weekly | 5.00 |
Total Part Time Average Weekly Learner Contact Time 6.00 Hours
Module Resources
Non ISBN Literary Resources
K.A. Stroud: "Engineering Mathematics", any edition
K.A. Stroud: "Further Engineering Mathematics", any edition
Other Resources
www.mathcentre.ac.uk
www.khanacademy.org
IT Sligo Maths Support Centre