Math 2.0

Resources / course

Advanced Engineering Mathematics B95KBQCK44

URIm2://res/B95KBQCK44
Kindcourse
CreatorsP. Panigrahi (instructor), J. Kumar (instructor), P.D. Srivastava (instructor), Somesh Kumar (instructor)
Date2013-04-29
MSC00-XX
Scopein
Idscourse 03w5sq511:111105035

Expressions

e1: edition

Languageen
Date2013-04-29
Contents
  • part 1: Linear Algebra
  • session 1: Review Groups, Fields and Matrices
  • session 2: Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors
  • session 3: Basis, Dimension, Rank and Matrix Inverse
  • session 4: Linear Transformation, Isomorphism and Matrix Representation
  • session 5: System of Linear Equations, Eigenvalues and Eigenvectors
  • session 6: Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices
  • session 7: Jordan Canonical Form, Cayley Hamilton Theorem
  • session 8: Inner Product Spaces, Cauchy-Schwarz Inequality
  • session 9: Orthogonality, Gram-Schmidt Orthogonalization Process
  • session 10: Spectrum of special matrices,positive/negative definite matrices
  • part 2: Theory of Complex Variables
  • session 11: Concept of Domain, Limit, Continuity and Differentiability
  • session 12: Analytic Functions, C-R Equations
  • session 13: Harmonic Functions
  • session 14: Line Integral in the Complex
  • session 15: Cauchy Integral Theorem
  • session 16: Cauchy Integral Theorem (Contd.)
  • session 17: Cauchy Integral Formula
  • session 18: Power and Taylor's Series of Complex Numbers
  • session 19: Power and Taylor's Series of Complex Numbers (Contd.)
  • session 20: Taylor's, Laurent Series of f(z) and Singularities
  • session 21: Classification of Singularities, Residue and Residue Theorem
  • part 3: Transform Calculus
  • session 22: Laplace Transform and its Existence
  • session 23: Properties of Laplace Transform
  • session 24: Evaluation of Laplace and Inverse Laplace Transform
  • session 25: Applications of Laplace Transform to Integral Equations and ODEs
  • session 26: Applications of Laplace Transform to PDEs
  • session 27: Fourier Series
  • session 28: Fourier Series (Contd.)
  • session 29: Fourier Integral Representation of a Function
  • session 30: Introduction to Fourier Transform
  • session 31: Applications of Fourier Transform to PDEs
  • part 4: Probability and Statistics
  • session 32: Laws of Probability - I
  • session 33: Laws of Probability - II
  • session 34: Problems in Probability
  • session 35: Random Variables
  • session 36: Special Discrete Distributions
  • session 37: Special Continuous Distributions
  • session 38: Joint Distributions and Sampling Distributions
  • session 39: Point Estimation
  • session 40: Interval Estimation
  • session 41: Basic Concepts of Testing of Hypothesis
  • session 42: Tests for Normal Populations

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