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Title: PHE-05, Mathematical Methods in Physics-II
Institution: Indira Gandhi National Open University, India

Level:

Degree.

Description:
Change is the law of nature. We all know that most things evolve with time. They are also diverse and non-uniform in space. The evolution in space and time is best described in a quantitative way in terms of differential equations. The oscillations of a simple pendulum, as in an old fashioned wall clock, propagation of sound and light waves enabling us to hear and see, excitation and de-excitation of electrons in atoms which generate light waves, complicated interactions in chemical reactions, growth of bacteria feeding on rotten foodstuff, foxes eating rabbits who eat grass, can be modelled by differential equations. In fact, most of the natural laws in physics, chemistry, life sciences, astronomy, engineering etc. find their most natural expression in the language of differential equations.

It is for these reasons that this course is focussed entirely on differential equations. The course is presented in two blocks. The first block deals with ordinary differential equations, ie, differential equations in which the unknown function depends only on one variable. Differential equations involving unknown functions of more than one variable are called partial differential equations. These form the subject of Block 2. Our emphasis in this course is on studying the methods of solving ordinary and partial differential equations, with particular reference to their applications in physics.

Block 1: Ordinary Differential Equations:
1. First order ordinary differential equations
2. Second order ordinary differential equations with constant coefficients
3. Second order ordinary differential equations with variable coefficients
4. Some applications of ODEs in physics

Block 2: Partial Differentials Equations:
5. An introduction to partial differential equations
6. Partial differential equations in physics
7. Fourier series
8. Applications of Fourier series to PDEs.

Assessment is by one assignment (30%) and a final examination (70%).

Programmes for which this course is required or in which it can be included:
Bachelor of Science.


Languages:

English and Hindi

Media and methods employed: Printed text, tutorial support, study centres.
Contact programme.

Administrative information:
This is a 2 credit course. A credit is approximately 30 hours of study. 60 hours of study will therefore be required on this course.

Classification:

070315 CALCULUS, ANALYSIS, DYNAMICS
070430 PHYSICS

Date: 26 February 1998 bb
Source: 1997 Institution Update

© 1999 International Centre for Distance Learning, The Open University


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