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This module sets the basic ideas to solve certain ordinary differential equations, such as scalar equations of the first order, linear equations of the second order and systems of linear equations. It mainly takes into account their qualitative and analytical aspects. Outline Syllabus includes: first order scalaroster; Scalar linear odes of the second order; Existence and uniqueness of the solutions; Autonomous systems of two linear odds with first order.
Overall contact hours: 42
Private study times: 108
Total study period: 150
80% examination, 20% course work
e. Keysty, Advanced Engineering Mathematics (10th edition), John Wiley, 2011
Robert L. Borrelli, Courtney S. Coleman, Differential equations: a modeling perspective, 2nd edition (ISBN: ) , 2004.
The intended topic-specific learning outcomes. When successful completing the module, the students can:
1 demonstrates the knowledge and critical understanding of the established principles within ordinary partial differential equations (odes);
2 demonstrate the ability to use a series of established techniques and a reasonable degree of skills in the calculation and manipulation of the material to solve problems in the following areas: Phase portraits, stability of fixed points, the frogwenius method, autonomous linear linear systems from odes;
3 Apply the concepts and principles in basic ODE methods in well-defined contexts through those in which they were first examined, and show the opportunity to evaluate critically
the adequacy of different tools and techniques.
The intended generic learning outcomes. When successful completing the module, the students can:
Demonstrate an increased ability:
1 Manage your own learning and use suitable resources.
2 Understanding logical arguments, identify the assumptions taken and the conclusions;
3 Communicate uncomplicated arguments and conclusions reasonably accurately and clearly;
4 Manage your time and use your organizational skills to plan and implement efficient and effective work of work;
5 solve problems relating to qualitative and quantitative information;
6 Use of information technology skills such as online resources (Moodle), Internet communication;
7 Communicate technical material competent;
8 demonstrate an increased level of skill in terms of and calculation.
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