Modules / Lectures

Sl.No | Chapter Name | MP4 Download |
---|---|---|

1 | Lecture-01: Linear Algebra: Introduction | Download |

2 | Lecture-02: Linear Algebra: Introduction (contd.) | Download |

3 | Lecture-03: Linear Algebra: Permutation Matrix, Existence of Solution | Download |

4 | Lecture-04: Linear Algebra: Permutation Matrix, Existence of Solution (contd.) | Download |

5 | Lecture-05: Linear Algebra: Linear Independence, Basis Vector and Dimensions | Download |

6 | Lecture-06: Linear Algebra: Null Space, Column Space, Row Space, Introduction to Orthogonal System | Download |

7 | Lecture-07: Linear Algebra: Orthogonal System, Projection, Determinant | Download |

8 | Lecture-08: Linear Algebra: Orthogonal System, Projection, Determinant (contd.) | Download |

9 | Lecture-09: Linear Algebra: Properties of Determinant, Cramer's Rule, Introduction to Eigen Values | Download |

10 | Lecture-10: Linear Algebra: Eigen Values, Eigen Vectors, SVD | Download |

11 | Lecture-11: Linear Algebra: Eigen Values, Eigen Vectors, SVD (contd.) | Download |

12 | Lecture-12: ODE: Introduction to ODEs, Initial Value Problem, Separation of Variables | Download |

13 | Lecture-13: ODE: Solution of Exact ODEs, First Order Linear Systems | Download |

14 | Lecture-14: ODE: Solution of Second Order Linear ODEs | Download |

15 | Lecture-15: ODE: Existence and Uniqueness of Solution, Non-Homogeneous System | Download |

16 | Lecture-16: ODE: Higher Order Linear ODEs, Variation of Parameters, System of ODEs | Download |

17 | Lecture-17: ODE: Linear Systems, Superposition for Homogeneous Systems | Download |

18 | Lecture-18: Fourier Analysis, Orthogonality of Trigonometric Systems, Euler's Formula | Download |

19 | Lecture-19: Parseval's Theorem, Fourier Integrals, Laplace Transforms | Download |

20 | Lecture-20: PDE: Introduction to PDEs, Solution of PDEs using Characteristics Curve | Download |

21 | Lecture-21: PDE: First Order PDEs, Dilation Invariant Solution of Differential Equations | Download |

22 | Lecture-22: PDE: Solution of Linear PDEs | Download |

23 | Lecture-23: PDE: Separation of Variables, Eigenvalue Problem, Poisson Integral Representation | Download |

24 | Lecture-24: PDE: Boundary Conditions, Solution of 2D systems | Download |

25 | Lecture-25: Introduction to Numerical Methods, Mathematical Models, Errors | Download |

26 | Lecture-26: Errors, Numerical Differentiation, Stability | Download |

27 | Lecture-27: Roots of Equations: Graphical Method, Bi-Section Mehtod, False-Position Method | Download |

28 | Lecture-28: Secant Method, Brent's Method, Multipoint Iteration Method, Derative Free Method | Download |

29 | Lecture-29: Complex Roots, Birge-Vieta Method, Bairstow's method | Download |

30 | Lecture-30: Solution of Linear Algebric Equations, Gauss Elimination Method | Download |

31 | Lecture-31: Direct Methods: Gauss Elimination, Gauss-Jordan, Crout's Method, Cholesky Method, Iterative Methods: Jacobi Iteration Method, Gauss-Seidel | Download |

32 | Lecture-32: Extrapolation Method, Eigenvalue Problem, Jacobi Method, Householder's Method for Symmetric Matrices, Power Method, Inverse Power Method | Download |

33 | Lecture-33: Interpolation: Taylor's Series, Lagrange and Newton Interpolation, Iterated Interpolation, Hermite Interpolation, Finite Difference Operations | Download |

34 | Lecture-34: Piecewise and Spline Interpolation, Bivariate Interpolation, Least Square Approximation, Uniform Polynomial Approximation | Download |

35 | Lecture-35: Numerical Differentiation and Intergration, Methods Based on Finite Differences, Methods based on Undetermined Coefficients, Extrapolation Methods, Partial Differentiation | Download |

36 | Lecture-36: Numerical Integration: Newton-Cotes Method, Gaussian Integration Methods, Lobatto Integration Method, Radau Integration Method, Composite Integration Methods | Download |

37 | Lecture-37: Double Integration: Trapezoidal Rule, Simpson's Rule, Solution of ODEs: Difference Equation, Single Step Methods, Explicit Methods | Download |

38 | Lecture-38: Runge-Kutta Methods, Euler-Cauchy Method, Multi-step Methods, Predictor-Corrector Methods | Download |

39 | Lecture-39: System of Differential Equations, Stability Analysis, Solution of Boundary Value Problem: Shooting Method | Download |

40 | Lecture-40: Numerical Approach to Solution of PDEs: Heat Conduction Equation, Convergence and Stability | Download |

Sl.No | Chapter Name | English |
---|---|---|

1 | Lecture-01: Linear Algebra: Introduction | Download Verified |

2 | Lecture-02: Linear Algebra: Introduction (contd.) | Download Verified |

3 | Lecture-03: Linear Algebra: Permutation Matrix, Existence of Solution | Download Verified |

4 | Lecture-04: Linear Algebra: Permutation Matrix, Existence of Solution (contd.) | Download Verified |

5 | Lecture-05: Linear Algebra: Linear Independence, Basis Vector and Dimensions | Download Verified |

6 | Lecture-06: Linear Algebra: Null Space, Column Space, Row Space, Introduction to Orthogonal System | Download Verified |

7 | Lecture-07: Linear Algebra: Orthogonal System, Projection, Determinant | Download Verified |

8 | Lecture-08: Linear Algebra: Orthogonal System, Projection, Determinant (contd.) | Download Verified |

9 | Lecture-09: Linear Algebra: Properties of Determinant, Cramer's Rule, Introduction to Eigen Values | Download Verified |

10 | Lecture-10: Linear Algebra: Eigen Values, Eigen Vectors, SVD | Download Verified |

11 | Lecture-11: Linear Algebra: Eigen Values, Eigen Vectors, SVD (contd.) | Download Verified |

12 | Lecture-12: ODE: Introduction to ODEs, Initial Value Problem, Separation of Variables | Download Verified |

13 | Lecture-13: ODE: Solution of Exact ODEs, First Order Linear Systems | Download Verified |

14 | Lecture-14: ODE: Solution of Second Order Linear ODEs | Download Verified |

15 | Lecture-15: ODE: Existence and Uniqueness of Solution, Non-Homogeneous System | Download Verified |

16 | Lecture-16: ODE: Higher Order Linear ODEs, Variation of Parameters, System of ODEs | Download Verified |

17 | Lecture-17: ODE: Linear Systems, Superposition for Homogeneous Systems | Download Verified |

18 | Lecture-18: Fourier Analysis, Orthogonality of Trigonometric Systems, Euler's Formula | Download Verified |

19 | Lecture-19: Parseval's Theorem, Fourier Integrals, Laplace Transforms | Download Verified |

20 | Lecture-20: PDE: Introduction to PDEs, Solution of PDEs using Characteristics Curve | Download Verified |

21 | Lecture-21: PDE: First Order PDEs, Dilation Invariant Solution of Differential Equations | Download Verified |

22 | Lecture-22: PDE: Solution of Linear PDEs | Download Verified |

23 | Lecture-23: PDE: Separation of Variables, Eigenvalue Problem, Poisson Integral Representation | Download Verified |

24 | Lecture-24: PDE: Boundary Conditions, Solution of 2D systems | Download Verified |

25 | Lecture-25: Introduction to Numerical Methods, Mathematical Models, Errors | Download Verified |

26 | Lecture-26: Errors, Numerical Differentiation, Stability | Download Verified |

27 | Lecture-27: Roots of Equations: Graphical Method, Bi-Section Mehtod, False-Position Method | Download Verified |

28 | Lecture-28: Secant Method, Brent's Method, Multipoint Iteration Method, Derative Free Method | Download Verified |

29 | Lecture-29: Complex Roots, Birge-Vieta Method, Bairstow's method | Download Verified |

30 | Lecture-30: Solution of Linear Algebric Equations, Gauss Elimination Method | Download Verified |

31 | Lecture-31: Direct Methods: Gauss Elimination, Gauss-Jordan, Crout's Method, Cholesky Method, Iterative Methods: Jacobi Iteration Method, Gauss-Seidel | Download Verified |

32 | Lecture-32: Extrapolation Method, Eigenvalue Problem, Jacobi Method, Householder's Method for Symmetric Matrices, Power Method, Inverse Power Method | Download Verified |

33 | Lecture-33: Interpolation: Taylor's Series, Lagrange and Newton Interpolation, Iterated Interpolation, Hermite Interpolation, Finite Difference Operations | Download Verified |

34 | Lecture-34: Piecewise and Spline Interpolation, Bivariate Interpolation, Least Square Approximation, Uniform Polynomial Approximation | Download Verified |

35 | Lecture-35: Numerical Differentiation and Intergration, Methods Based on Finite Differences, Methods based on Undetermined Coefficients, Extrapolation Methods, Partial Differentiation | Download Verified |

36 | Lecture-36: Numerical Integration: Newton-Cotes Method, Gaussian Integration Methods, Lobatto Integration Method, Radau Integration Method, Composite Integration Methods | Download Verified |

37 | Lecture-37: Double Integration: Trapezoidal Rule, Simpson's Rule, Solution of ODEs: Difference Equation, Single Step Methods, Explicit Methods | Download Verified |

38 | Lecture-38: Runge-Kutta Methods, Euler-Cauchy Method, Multi-step Methods, Predictor-Corrector Methods | Download Verified |

39 | Lecture-39: System of Differential Equations, Stability Analysis, Solution of Boundary Value Problem: Shooting Method | Download Verified |

40 | Lecture-40: Numerical Approach to Solution of PDEs: Heat Conduction Equation, Convergence and Stability | Download Verified |

Sl.No | Language | Book link |
---|---|---|

1 | English | Download |

2 | Bengali | Not Available |

3 | Gujarati | Not Available |

4 | Hindi | Not Available |

5 | Kannada | Not Available |

6 | Malayalam | Not Available |

7 | Marathi | Not Available |

8 | Tamil | Not Available |

9 | Telugu | Not Available |