Math 2.0

Resources / course

Advanced Engineering Mathematics QVAQ2GS6D4

URIm2://res/QVAQ2GS6D4
Kindcourse
CreatorsH S Mahato (instructor)
Date2023-01-06
MSC00-XX
Scopein
Idscourse 03w5sq511:111105167

Expressions

e1: edition

Languageen
Date2023-01-06
Contents
  • part 1: week-01
  • session 1: Lecture 1: Introduction on functions of a single variable
  • session 2: Lecture 2: Basic definitions
  • session 3: Lecture 3: Mean value Theorems
  • session 4: Lecture 4: Extremum of function of single variable
  • session 5: Lecture 5: Examples
  • part 2: week-02
  • session 6: Lecture 6: Introduction on functions of two variable
  • session 7: Lecture 7: Basic definitions
  • session 8: Lecture 8: Partial differentiation
  • session 9: Lecture 9: Extremum of function of two variable
  • session 10: Lecture 10: Examples
  • part 3: week-03
  • session 11: Lecture 11: Convergence and divergence test
  • session 12: Lecture 12: Beta function, Gamma function
  • session 13: Lecture 13: Differentiation under integral sign
  • session 14: Lecture 14: Line integral, integration in R^2 (Double integral)
  • session 15: Lecture 15: Examples
  • part 4: week-04
  • session 16: Lecture 16: Double integral
  • session 17: Lecture 17: Integration in R3
  • session 18: Lecture 18: Triple integral
  • session 19: Lecture 19: Examples
  • session 20: Lecture 20: Introduction to Differential equation
  • session 21: Lecture 21: Exact form
  • session 22: Lecture 22: Second order differential equation
  • part 5: week-05
  • session 23: Lecture 23: Iterative method (bisection and fixed point)
  • session 24: Lecture 24: Newton-Raphson, Jacobi and Gauss-Seidel method
  • session 25: Lecture 25: Finite difference method
  • session 26: Lecture 26: Newton’s forward and backward interpolation
  • session 27: Lecture 27: Numerical integration
  • part 6: week-06
  • session 28: Lecture 28: Vector space and Subspace
  • session 29: Lecture 29: Basis and dimension
  • session 30: Lecture 30: Rank of a matrix
  • session 31: Lecture 31: Gauss-Elimination Method
  • session 32: Lecture 32: Linear Transformation
  • part 7: week-07
  • session 33: Lecture 33: Examples
  • session 34: Lecture 34: Matrix Representation
  • session 35: Lec 35: Eigenvalues and Eigenvectors
  • session 36: Lecture 36: Cayley-Hamilton Theorem
  • part 8: week-08
  • session 37: Lecture 37: Diagonalisation of a Matrix
  • session 38: Lecture 38: Examples and applications
  • session 39: Lecture 39: Types of matrices
  • session 40: Lecture 40: Equivalent Matrices and Elementary Matrices
  • part 9: week-09
  • session 41: Lecture 41: Introduction to the vector function
  • session 42: Lecture 42: Differentiation and integration of the vector function
  • session 43: Lecture 43: Partial differentiation of vector function
  • session 44: Lecture 44: Directional derivative of a vector function
  • session 45: Lecture 45: Examples on directional derivative, tangent plane and normal
  • part 10: week-10
  • session 46: Lecture 46: Divergence and curl of a vector function
  • session 47: Lecture 47: Application to mechanics of vector calculus
  • session 48: Lecture 48: Serret-Frenet formula and more applications to mechanics
  • session 49: Lecture 49: Examples on finding unit vectors, curvature and torsion
  • session 50: Lecture 50: Application of vector calculus to the particle dynamics
  • part 11: week-11
  • session 51: Lecture 51: Line integral of vector function
  • session 52: Lecture 52: Surface integral of vector function
  • session 53: Lecture 53: Volume integral of vector function and Gauss Divergence Theorem
  • session 54: Lecture 54: Green's theorem and Stoke's theorem
  • session 55: Lecture 55: Verification and application of Divergencen theorem, Green's theorem and Stoke's theorem
  • part 12: week-12
  • session 56: Lecture 56: Basic properties of a complex valued function
  • session 57: Lecture 57: Analytic Complex valued function
  • session 58: Lecture 58: Complex Integration and theorems
  • session 59: Lecture 59: Application of Cauchy's integral formula
  • session 60: Lecture 60: Regular and Singular point of a complex valued function
  • part 13: Live Session
  • session 61: Live Session 15-02-2024
  • session 62: Live Session 19-04-2024
  • session 63: Live Session 11-02-2025

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