Practical
This course will enable the students to -
- Familiarize with software MATHEMATICA, for numerical computation of the fundamental arithmetic operations using Mathematica.
- Develop the concept of complex numbers, conjugacy, continuity, and differentiability with the help of software.
- An introduction of analytic function, complex integration, singularity and residues.
Course Outcomes (COs):
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Course |
Learning outcomes (at course level) |
Learning and teaching strategies |
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|---|---|---|---|
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Course Code |
Course Title |
||
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CMAT 612 |
Practical(Practical)
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The students will be able to –
CO103: perform both simple and complicated mathematical calculations which requires no previous knowledge of or training in computer programming CO104: Describe fundamental properties of the complex system that lead the development of complex analysis. CO105: learn basic problems of complex analysis by using Mathematica. CO106: Demonstrate accurate and efficient use of complex analysis techniques.
|
Approach in teaching:
Interactive Lectures, Discussion via software Learning activities for the students: Self learning assignments, Effective questions, Giving tasks
|
CONTENTS
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Find Real and Imaginary parts of complex numbers.
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Calculate Absolute value and argument, conjugates of complex numbers.
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Check analyticity of Real functions.
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Check analyticity of Complex functions, multivariate functions.
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Check whether a function has singularity or not?
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Check whether a function is meromorphic or not?
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Find poles of given functions.
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Calculate residues and Find sum of residues of given functions.
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Calculate real definite integral by contour integration.
