- 10:50 PM, Sunday, 20 Sep 2020

Course |
Postgraduate |

Semester |
Sem. I |

Subject Code |
AVP611 |

Subject Title |
Mathematics For Electrical Engineering |

Linear algebra: linear system of equations range and null space, singular value decomposition of a matrix, pseudo-inverse of a matrix, optimal solution of a system.

Probability: random experiments, sample space, events, sigma algebra, probability measure random variables, probability distribution function, discrete and continuous distributions, joint distributions, distribution of functions of random variables, some random processes.

Fourier series and Fourier transform LTI system, signals, sampling and sampling theorem, discrete and continuous signals, DFT, Wavelet transforms.

Complex analysis, Introduction to vector algebra and phasors.

1. Bracewell R., Fourier Transform and its applications(3rd edition), McGraw Hill, 2000

2. Strang G., Linear Algebra and its applications, (4th edition), Thomson 2006

3. Leon-Garcia A., Probability, statistics and Random Processes for Electrical Engineers, Pearson Prentice Hall, 2008. edition), Thomson 2006

4. K. Hoffman and R. Kunze; Introduction to Linear Algebra , Prentice-Hall, 1996, 2/e.

5. R. Horn and C. Johnson, Matrix Analysis; Cambridge, C.U.P.,1991

6. H. A. Priestley, Introduction to Complex Analysis, 2nd edition (Indian), Oxford, 2006.

7. J. H. Mathews and R.W. Howell, Complex Analysis for Mathematics and Engineering, 3rd edition, Narosa, 1998.

8. J Heading, ”Mathematical Methods in Science and Engineering”, 2nd ed.

9. Trevor P. Humphreys, A Reference Guide to Vector Algebra