MATH06099 2019 Mathematics 102H
Solution of first and second order differential equations using Laplace transforms and other techniques.
Linear algebra including eigenvalues and eigenvectors.
Learning Outcomes
On completion of this module the learner will/should be able to;
Solve first order separable and linear differential equations
Solve first and second order differential equations using Laplace transforms
Solve second order differential equations using the auxiliary equation and the particular solution.
Matrix addition, subtraction and multiplication, inverses, determinants, eigenvalues and eigenvectors.
Solve linear systems of equations using Gaussian elimination
Indicative Syllabus
Solution of first order separable and linear differential equations
Definition and calculation of Laplace transforms and inverse Laplace transforms
Solution of first and second order differential equations using Laplace transforms
Solution of second order differential equations using the auxiliary equation
Matrix addition, subtraction and multiplication
Solution of linear systems using row reduction of matrices, matrix inverses.
Determinants, eigenvalues and eigenvectors
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 | 3 | Weekly | 3.00 |
Tutorial | Flat Classroom | Tutorial | 1 | Weekly | 1.00 |
Independent Learning | UNKNOWN | 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