MATH08008 2013 Mathematics 4
Maths for 4th year classes in M & E department
Learning Outcomes
On completion of this module the learner will/should be able to;
Use first and second order differential equations to model and solve engineering problems
Solve geometrical problems using the i, j, k orthogonal triad system, and compute dot products and cross products. Compute projections and angles between vectors and interpret results geometrically
Use Gaussian elimination to solve systems of m equations in n unknowns and apply this to networks (including electrical networks using Kirchoff's Laws)
Calculate Fourier transforms and inverse Fourier transforms
Solve first and second order difference equations using z-transforms
Indicative Syllabus
1. Review of the solution of first and second order differential equations. Application to model and solve engineering applications
2. Vector geometry of 2, 3 and higher dimensions. The i, j, k orthogonal triad system, computation of dot products and cross products. Computation of projections and angles between vectors and interpretation of results geometrically
3. Gaussian elimination, solution of systems of m equations in n unknowns and applications to networks (including electrical networks using Kirchoff's Laws)
4. Calculate Fourier transforms and inverse Fourier transforms of functions using the theory of even and odd functions and complex numbers. Calculate the magnitude spectra and phase spectra of a Fourier transform
5. Sequences, sampling of functions, first and second order difference equations. Definition and properties of the z-transform. Inverse z-transform and left shift theorems. Solution of first and second order difference equations using z-transforms
Coursework & Assessment Breakdown
Coursework Assessment
Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
---|---|---|---|---|---|---|
1 | Continuous Assessment Continious Assesment | Continuous Assessment | UNKNOWN | 30 % | 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 | 70 % | End of Term | 1,2,3,4,5 |
Full Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |
Lecture | Tiered Classroom | Theory | 2 | Weekly | 2.00 |
Independent Learning | Not Specified | Independent Learning | 4 | Weekly | 4.00 |
Part Time Mode Workload
Type | Location | Description | Hours | Frequency | Avg Workload |
---|---|---|---|---|---|
Lecture | Distance Learning Suite | Lecture | 2 | Weekly | 2.00 |
Tutorial | Distance Learning Suite | Tutorial | 1 | Weekly | 1.00 |
Independent Learning | Not Specified | Independent Learning | 4 | Weekly | 4.00 |
Module Resources
Authors |
Title |
Publishers |
Year |
K.A.Stroud |
Engineering Mathematics |
Palgrave and Macmillan |
2007 |
None