Course Overview
The course is designed for all employees irrespective of their division. It deals with some advanced topics in Engineering Mathematics like Linear Algebra, Theory of Complex Variables etc. Refer to the syllabus to know more:
Duration: 2520 minutes
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Syllabus
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Lectures/...
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1. Analytic Functions
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2. Cauchy-Reimann Equations
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3. Harmonic Functions, Harmonic Conjugates and Milne's Method
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4. Applications to the Problems of Potential Flow -I
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5. Applications to the Problems of Potential Flow -II
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6. Complex Integration
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7. Cauchy's Theorem - I
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8. Cauchy's Theorem - II
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9. Cauchy's Integral Formula for the Derivatives of an Analytic Function
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10. Morera's Theorem, Liouville's Theorem and Fundamental Theorem of Algebra
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11. Winding Number and Maximum modulus Principle
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12. Sequences and Series
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13. Uniform Convergence of Series
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14. Power Series
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15. Taylor Series
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16. Laurent Series
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17. Zeros and Singularities of an Analytic Function
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18. Residue at Singularity
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19. Residue at Theorem
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20. Meromorphic Functions
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21. Evaluation of Real Integrals Using Residues - I
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22. Evaluation of Real Integrals Using Residues - II
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23. Evaluation of Real Integrals Using Residues - III
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24. Evaluation of Real Integrals Using Residues - IV
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25. Evaluation of Real Integrals Using Residues - V
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26. Bilinear Transformations
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27. Cross Ratio
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28. Conformal Mapping - I
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29. Conformal Mapping - II
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30. Conformal mappings from half plane to disk and half plane to half plane - I
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31. Conformal mappings from disk to disk and angular region to disk
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32. Application of Conformal Mappings to Potential Theory
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33. Review of Z-transforms - I
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34. Review of Z-transforms - II
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35. Review of Z-transforms - III
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36. Review of Bilateral Z-transforms
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37. Finite Fourier Transforms
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38. Fourier Intergral and Fourier Transforms
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39. Fourier Series
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40. Discrete Fourier Transforms - I
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41. Discrete Fourier Transforms - II
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42. Basic Concepts of Probability
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Certificate
Simple Certificate
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Completion Badge - Advanced Engineering Mathematics