MATH07039 2019 Mathematics 302H

General Details

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 Continuous 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