# MATH06101 2019 Mathematics 202H

### General Details

Full Title
Mathematics 202H
Transcript Title
Mathematics 202H
Code
MATH06101
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
CENG - Civil Eng. and Construction
Level
06 - NFQ Level 6
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_H08 201900 Bachelor of Engineering (Honours) in Civil Engineering SG_EMECH_H08 201900 Bachelor of Engineering (Honours) in Mechanical Engineering SG_EELEC_H08 202000 Bachelor of Engineering (Honours) in Electronics and Self Driving Technologies SG_EROBO_H08 202000 Bachelor of Engineering (Honours) in Robotics and Automation
Description

A geometric approach to vectors, matrices and vector fields and their applications to forces and velocities in three dimensions.

### 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 linear transformations and isometries as matrix operations including rotation and reflection. Find eigenvalues and eigenvectors

5.

Calculate the radial and tangential components of rotating systems

6.

Calculate the gradient of a scalar field and the divergence and curl of a vector field

### Indicative Syllabus

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

Linear transformations and isometries as matrix operations, including rotations, reflections and dilations. Eigenvalues and eigenvectors.

Calculus of vector functions and vector fields and applications (including coriolis force)

Calculate the gradient of a scalar field and the divergence and curl of a vector field

### 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 1,2,3,4,5,6

### 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 1,2,3,4,5,6

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Lecture 4 Weekly 4.00
Tutorial Flat Classroom Tutorial 1 Weekly 1.00
Independent Learning Not Specified Independent Learning 4 Weekly 4.00
Total Full Time Average Weekly Learner Contact Time 5.00 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