Главная
Study mode:
on
1
Analytic Functions, C-R Equations
2
Harmonic Functions
3
Line Integral in the Complex
4
Cauchy Integral Theorem
5
Cauchy Integral Theorem (Contd.)
6
Cauchy Integral Formula
7
Power and Taylor Series of Complex Numbers
8
Power and Taylor Series of Complex Numbers (Contd.)
9
Taylor's , Laurent Series of f(z) and Singularities
10
Classification of Singularities, Residue and Residue Theorem
11
Laplace Transform and its Existence
12
Properties of Laplace Transform
13
Evaluation of Laplace and Inverse Laplace Transform
14
S30 2072
15
Applications of Laplace Transform to PDEs
16
Fourier Series (Contd.)
17
Fourier Integral Representation of a Function
18
Introduction to Fourier Transform
19
Applications of Fourier Transform to PDEs
20
Laws of probability I
21
Laws of probability II
22
Problems in probability
23
Random variables
24
Special Discrete Distributions
25
Special Continuous distributions
26
Vector Spaces, Subspaces, Linearly Dependent / Independent of Vectors
27
Review Groups, Fields and Matrices
28
Basis, Dimension, Rank and Matrix Inverse
29
Jordan Canonical Form,Cayley Hamilton Theorem
30
Concept of Domain, Limit, Continuity and Differentiability
31
Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices
32
Spectrum of special matrices,positive/negative definite matrices
33
System of Linear Equations, Eigen values and Eigen vectors
34
Linear Transformation, Isomorphism and Matrix Representation
35
Orthogonality , Gram-Schmidt Orthogonalization Process
36
Inner Product Spaces, Cauchy - Schwarz Inequality
Description:
Explore advanced mathematical concepts in this comprehensive 34-hour course covering complex analysis, Laplace and Fourier transforms, probability theory, linear algebra, and more. Delve into topics like analytic functions, Cauchy integral theorem, power series, singularities, and residue theorem. Learn about Laplace and Fourier transforms and their applications to partial differential equations. Study probability laws, random variables, and special distributions. Investigate vector spaces, matrices, eigenvalues, and linear transformations. Master orthogonality, inner product spaces, and the Gram-Schmidt process. Gain a deep understanding of advanced engineering mathematics to enhance your problem-solving skills in various scientific and engineering fields.

Advanced Engineering Mathematics

NIOS
Add to list
#Mathematics #Trigonometry #Fourier Series #Statistics & Probability #Probability #Algebra #Linear Algebra #Vector Spaces #Complex Numbers #Matrices #Linear Transformations #Mathematical Analysis #Laplace Transform #Eigenvalues
0:00 / 0:00
1 of 36

Analytic Functions, C-R Equations