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MX3536: DIFFERENTIAL EQUATIONS (2017-2018)

Last modified: 25 May 2018 11:16


Course Overview

Differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. In this course we will study the concept of a differentialk equation systematically from a purely mathematical viewpoint. Such abstraction is fundamental to the understanding of this concept.

Course Details

Study Type Undergraduate Level 3
Term Second Term Credit Points 15 credits (7.5 ECTS credits)
Campus Old Aberdeen Sustained Study No
Co-ordinators
  • Dr Zur Izhakian

Qualification Prerequisites

  • Either Programme Level 3 or Programme Level 4

What courses & programmes must have been taken before this course?

  • Either Mathematics (MA) or Mathematical Sciences (MX)
  • MA1005 Calculus 1 (Passed)
  • MA1508 Calculus II (Passed)
  • Any Undergraduate Programme (Studied)

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

No

Course Description

A differential equation is a mathematical equation that relates a function with its derivatives. In applications, the functions usually represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between the two. Differential equations are also key in purely mathematical theories such as Differential Geometry and many other subjects.

In this course we will cover the following aspects of the theory and techniques for solution of differential equations:

1. Exact Equations

2. First Order Equations

3. First and Second Order Linear Equations

4. Existence and Uniqueness Theorems

5. Picard's Method of Approximation


Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers


Details, including assessments, may be subject to change until 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

Summative Assessments

1st Attempt

  • 2-hour written exam (80%)
  • In-course assessment (20%)


Resit

  • 2-hour written exam
  • Final grade is taken as best of either:
    • 100% resit paper OR
    • 80% resit paper and 20% coursework

Formative Assessment

There are no assessments for this course.

Feedback

​In course assessment graded within 2 weeks of assessment; Feedback given in written format.

Final exam will be red-marked to indicate full/partial/wrong answers.

Course Learning Outcomes

None.

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