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Complex Analysis, Short Course

  • Application Deadline
  • Unavailable
    Duration
University rank #501 (WUR) Online
This Complex Analysis course at The Open University UK develops the theory of functions of a complex variable, emphasising their geometric properties and indicating some applications.

About

In studying the Complex Analysis course at The Open University UK, you will consolidate many of the mathematical ideas and methods that you have learned in earlier modules, and it will set you in good stead for tackling further fields of study in mathematics, engineering and physics.

What you will study

There is no real number whose square is –1, but mathematicians long ago invented a system of numbers, called complex numbers, in which the square root of –1 does exist. 

These complex numbers can be thought of as points in a plane, in which the arithmetic of complex numbers can be pictured. When the ideas of calculus are applied to functions of a complex variable a powerful and elegant theory emerges, known as complex analysis.

The module shows how complex analysis can be used to:
  • determine the sums of many infinite series
  • evaluate many improper integrals
  • find the zeros of polynomial functions
  • give information about the distribution of large prime numbers
  • model fluid flow past an aerofoil
  • generate certain fractal sets whose classification leads to the Mandelbrot set.

Detailed Programme Facts

  • Deadline and start date Application deadline and start date were not specified by the programme.
  • Programme intensity Full-time
  • Credits
    30 alternative credits
  • Languages
    • English
  • Delivery mode
    Online

Programme Structure

You will learn

Successful study of this module should enhance your skills in understanding complex mathematical texts, working with abstract concepts, constructing solutions to problems logically and communicating mathematical ideas clearly.

English Language Requirements

This programme may require students to demonstrate proficiency in English.

Academic Requirements

  • This is an OU level 3 module. Level 3 modules build on study skills and subject knowledge acquired from studies at levels 1 and 2. They are intended only for students who have recent experience of higher education in a related subject, preferably with the OU. 
  • You need proficiency in algebra, trigonometry and calculus, and the mathematical maturity gained from OU level 2 mathematics modules. To study this module you should have a grade 2 pass (minimum) in at least one of the following: Pure mathematics, Mathematical methods, models and modelling, Mathematical methods, or the equivalent.  

Tuition Fee

Funding

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