Ordinary Differential Equations
20
CM-0225D
2015/6
Semester 1
A
FHEQ Level 5
Standard module
Computer Science
School of Electrical Engineering & Computer Science
Dr Ci Lei
-
CM-0125L ENG1074L
None
To present an introduction to further standard theoretical methods for solving ordinary differential equations and to instill an understanding of the use of orthogonal polynomials.
Formative exercises encourage the on-going digestion of the material, with the extent of the cumulative knowledge and skills acquired assessed through a coursework assignments and a formal examination.
Study Hours: | ||||||
Lectures: | 12.00 | Directed Study: | 150.00 | |||
Seminars/Tutorials: | 24.00 | Other: | 0.00 | |||
Laboratory/Practical: | 12.00 | Formal Exams: | 2.00 | Total: 200.00 |
On successful completion of this module you will be able to...
show a breadth of knowledge of some of the techniques of solving ordinary differential equations and the use of orthogonal polynomials.
On successful completion of this module you will be able to...
manipulate with and apply to realistic physical cases the fundamental theories of ordinary differential equations and orthogonal polynomials;
Manipulate with, and apply in simple cases, the fundamental theory of differential equations, functions of several variables and multiple integrals.
On successful completion of this module you will be able to...
learn and work independently with patience and persistence using good general skills of organization and time-management, be adaptable with a readiness to assess problems from new areas logically through an analytical approach, write coherently and clearly communicate results.
001. | Assessment Type | Duration | Percentage |
Coursework | 30% | ||
Description | |||
Individual coursework | |||
002. | Assessment Type | Duration | Percentage |
Examination - closed book | 2.00 | 70% | |
Description | |||
Examination | |||
900. | Assessment Type | Duration | Percentage |
Examination - closed book | 3.00 | 100% | |
Description | |||
Supplementary examination |
Complementary functions and particular integrals (revision for second-order equations mainly); integrating factors; variation of parameters; wronskian; recognition of non-linear ordinary differential equations; power series methods; Legendre polynomials, Rodrigue`s formula, orthogonality of Legendre polynomials; Chebyshev polynomials.
3