MATH06102 2019 Mathematics 201H
Taylors theorem, Lagrange multipliers, discrete Fourier transforms, z-transforms, vector algebra.
Learning Outcomes
On completion of this module the learner will/should be able to;
Approximate functions with polynomials in one and several variables using Taylor’s Theorem
Apply Lagrange Multiples to find the maximum and minimum of functions of several variables
Find the discrete Fourier transform of a signal
Solve difference equations using the z-transform
Compute area, volume and surface Integrals using polar, cylindrical and spherical coordinates.
Module Dependencies
Indicative Syllabus
Approximation of functions with polynomials in one and two variables using Taylor’s theorem
Application of Lagrange multiples to find the maximum and minimum of functions of several variables
Discrete Fourier transform
Solve difference equations using the z-transform
Compute area, volume and surface Integrals using polar, cylindrical and spherical coordinates.
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Continuous Assessment | Coursework Assessment | Assessment | 20 % | OnGoing | 1,2,3,4,5 |
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 |
Full Time Mode Workload
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 |
Part Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Classroom Equipped for OLL. | Lecture | 4 | Weekly | 4.00 |
Tutorial | Classroom Equipped for OLL. | Tutorial | 1 | Weekly | 1.00 |
Independent Learning | Not Specified | Study | 4 | Weekly | 4.00 |
Module Resources
K.A. Stroud: "Engineering Mathematics", any edition
K.A. Stroud: "Further Engineering Mathematics", any edition
www.mathcentre.ac.uk
www.khanacademy.org
IT Sligo Maths Support Centre