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### 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 Level Undergraduate 3 Second Sub Session 15 credits (7.5 ECTS credits) Old Aberdeen No 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)

None.

None.

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

### Degree Programmes for which this Course is Prescribed

• BSc Applied Mathematics
• BSc Mathematics
• BSc Mathematics with Gaelic
• MA Applied Mathematics
• MA Mathematics
• Mathematics Joint
• Mathematics Major

### Contact Teaching Time

Sorry, we don't have that information available.

### Assessment

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

None.

### 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.

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