Students Staff

Module Details

MA202-5-SP-CO: Differential Equations

Year: 2017/18
Department: Mathematical Sciences
Essex credit: 15
ECTS credit: 7.5
Available to Study Abroad / Exchange Students: Yes
Full Year Module Available to Study Abroad / Exchange Students for a Single Term: No
Outside Option: No
Pre-requisites: MA101
Co-requisites:

Staff
Supervisor: Dr Hadi Susanto
Teaching Staff: Dr Hadi Susanto, email hsusanto@essex.ac.uk; Dr Chris Antonopoulos, email canton@essex.ac.uk
Contact details: Miss Claire Watts, Department Manager, email: cmwatts@essex.ac.uk, tel. 01206 873040

Module is taught during the following terms
Autumn Spring Summer

Module Description

The subject of ordinary differential equations is a very important branch of Applied Mathematics. Many phenomena from Physics, Biology, Engineering, Chemistry, Finance, among others, may be described using ordinary differential equations. To understand the underlying processes, we have to find and interpret the solutions to these equations. The last part of the module is devoted to the study of nonlinear differential equations and stability. The course provides an overview of standard methods for solving single ordinary differential equations and systems of ordinary differential equations, with an introduction to the underlying theory.

Teaching and Assessment

Teaching Methods

This module runs at 3 contact hours per week. In the Summer term 3 revision lectures are given.

Assessment

20 per cent Coursework Mark, 80 per cent Exam Mark

Coursework

Coursework for this module comprises 2 tests worth 10% each, one in week 20 and one in week 25.

Exam Duration and Period

2:00 during Summer Examination period.

Other information

Prerequisite: MA101-4-FY. Available independently to Socrates/IP students spending all relevant terms at Essex. 'A' level Maths or equivalent normally required.

Resources

Please note: Due to differing publication schedules, some of this information is based upon the previous academic year.

Teaching Materials

Available via (ORB) Online Resource Bank.

Lecture Recording

Of 37 hours, 33 (89.2%) hours available to students:
4 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).

Bibliography

  • Essential reading:
  • * W.E. Boyce and R.C. Di Prima, Elementary Differential Equations and Boundary Value Problems, (10th edition), Wiley Interscience (2011).
  • * E. A. Coddington, An Introduction to Ordinary Differential Equations, Dover Publications (1989).
  • Recommended Reading:
  • 1. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill Publ. Company, New York (1984).
  • 2. Ph. Hartman, Ordinary Differential Equations (Classics in Applied Mathematics No.38), SIAM Philadelphia (2002, 2-nd edition).
  • 3. D. Jordan and P. Smith, Nonlinear Ordinary Differential Equations. An Introduction for Scientists and Engineers, Oxford University Press (2007).
  • 4. D. Jordan and P. Smith, Nonlinear Ordinary Differential Equations: Problems and Solutions - A Sourcebook for Scientists and Engineers, Oxford University Press (2007).

Further information

External Examiner Information

  • Name: Dr Clare Dunning
    Institution: The University of Kent
    Academic Role: Reader in Applied Mathematics