Mathematics - Advanced Engineering Mathematics

Total Lectures


Mod-01 Lec-01 Review Groups, Fields and Matrices


Mod-01 Lec-01 Review Groups, Fields and Matrices
Mod-01 Lec-02 Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors
Mod-01 Lec-03 Basis, Dimension, Rank and Matrix Inverse
Mod-01 Lec-04 Linear Transformation, Isomorphism and Matrix Representation
Mod-01 Lec-05 System of Linear Equations, Eigenvalues and Eigenvectors
Mod-01 Lec-06 Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices
Mod-01 Lec-07 Jordan Canonical Form, Cayley Hamilton Theorem
Mod-01 Lec-08 Inner Product Spaces, Cauchy-Schwarz Inequality
Mod-01 Lec-09 Orthogonality, Gram-Schmidt Orthogonalization Process
Mod-01 Lec-10 Spectrum of special matrices,positive/negative definite matrices
Mod-02 Lec-11 Concept of Domain, Limit, Continuity and Differentiability
Mod-02 Lec-12 Analytic Functions, C-R Equations
Mod-02 Lec-13 Harmonic Functions
Mod-02 Lec-14 Line Integral in the Complex
Mod-02 Lec-15 Cauchy Integral Theorem
Mod-02 Lec-16 Cauchy Integral Theorem (Contd.)
Mod-02 Lec-17 Cauchy Integral Formula
Mod-02 Lec-21 Classification of Singularities, Residue and Residue Theorem
Mod-03 Lec-22 Laplace Transform and its Existence
Mod-03 Lec-23 Properties of Laplace Transform
Mod-03 Lec-24 Evaluation of Laplace and Inverse Laplace Transform
Mod-03 Lec-25 Applications of Laplace Transform to Integral Equations and ODEs
Mod-03 Lec-26 Applications of Laplace Transform to PDEs
Mod-03 Lec-27 Fourier Series
Mod-03 Lec-28 Fourier Series (Contd.)
Mod-03 Lec-29 Fourier Integral Representation of a Function
Mod-03 Lec-30 Introduction to Fourier Transform
Mod-03 Lec-31 Applications of Fourier Transform to PDEs
Mod-04 Lec-32 Laws of Probability - I
Mod-04 Lec-33 Laws of Probability - II
Mod-04 Lec-34 Problems in Probability
Mod-04 Lec-35 Random Variables
Mod-04 Lec-36 Special Discrete Distributions
Mod-04 Lec-37 Special Continuous Distributions
Mod-04 Lec-38 Joint Distributions and Sampling Distributions
Mod-04 Lec-39 Point Estimation
Mod-04 Lec-40 Interval Estimation
Mod-04 Lec-41 Basic Concepts of Testing of Hypothesis
Mod-04 Lec-42 Tests for Normal Populations
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