Modules / Lectures
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noc21_ae02_assignment_Week_8noc21_ae02_assignment_Week_8


Sl.No Chapter Name MP4 Download
1Lecture-01: Linear Algebra: Introduction Download
2Lecture-02: Linear Algebra: Introduction (contd.) Download
3Lecture-03: Linear Algebra: Permutation Matrix, Existence of Solution Download
4Lecture-04: Linear Algebra: Permutation Matrix, Existence of Solution (contd.) Download
5Lecture-05: Linear Algebra: Linear Independence, Basis Vector and Dimensions Download
6Lecture-06: Linear Algebra: Null Space, Column Space, Row Space, Introduction to Orthogonal System Download
7Lecture-07: Linear Algebra: Orthogonal System, Projection, Determinant Download
8Lecture-08: Linear Algebra: Orthogonal System, Projection, Determinant (contd.) Download
9Lecture-09: Linear Algebra: Properties of Determinant, Cramer's Rule, Introduction to Eigen Values Download
10Lecture-10: Linear Algebra: Eigen Values, Eigen Vectors, SVD Download
11Lecture-11: Linear Algebra: Eigen Values, Eigen Vectors, SVD (contd.) Download
12Lecture-12: ODE: Introduction to ODEs, Initial Value Problem, Separation of Variables Download
13Lecture-13: ODE: Solution of Exact ODEs, First Order Linear Systems Download
14Lecture-14: ODE: Solution of Second Order Linear ODEs Download
15Lecture-15: ODE: Existence and Uniqueness of Solution, Non-Homogeneous System Download
16Lecture-16: ODE: Higher Order Linear ODEs, Variation of Parameters, System of ODEs Download
17Lecture-17: ODE: Linear Systems, Superposition for Homogeneous Systems Download
18Lecture-18: Fourier Analysis, Orthogonality of Trigonometric Systems, Euler's Formula Download
19Lecture-19: Parseval's Theorem, Fourier Integrals, Laplace Transforms Download
20Lecture-20: PDE: Introduction to PDEs, Solution of PDEs using Characteristics Curve Download
21Lecture-21: PDE: First Order PDEs, Dilation Invariant Solution of Differential Equations Download
22Lecture-22: PDE: Solution of Linear PDEs Download
23Lecture-23: PDE: Separation of Variables, Eigenvalue Problem, Poisson Integral RepresentationDownload
24Lecture-24: PDE: Boundary Conditions, Solution of 2D systems Download
25Lecture-25: Introduction to Numerical Methods, Mathematical Models, Errors Download
26Lecture-26: Errors, Numerical Differentiation, Stability Download
27Lecture-27: Roots of Equations: Graphical Method, Bi-Section Mehtod, False-Position MethodDownload
28Lecture-28: Secant Method, Brent's Method, Multipoint Iteration Method, Derative Free MethodDownload
29Lecture-29: Complex Roots, Birge-Vieta Method, Bairstow's method Download
30Lecture-30: Solution of Linear Algebric Equations, Gauss Elimination Method Download
31Lecture-31: Direct Methods: Gauss Elimination, Gauss-Jordan, Crout's Method, Cholesky Method, Iterative Methods: Jacobi Iteration Method, Gauss-SeidelDownload
32Lecture-32: Extrapolation Method, Eigenvalue Problem, Jacobi Method, Householder's Method for Symmetric Matrices, Power Method, Inverse Power MethodDownload
33Lecture-33: Interpolation: Taylor's Series, Lagrange and Newton Interpolation, Iterated Interpolation, Hermite Interpolation, Finite Difference OperationsDownload
34Lecture-34: Piecewise and Spline Interpolation, Bivariate Interpolation, Least Square Approximation, Uniform Polynomial ApproximationDownload
35Lecture-35: Numerical Differentiation and Intergration, Methods Based on Finite Differences, Methods based on Undetermined Coefficients, Extrapolation Methods, Partial DifferentiationDownload
36Lecture-36: Numerical Integration: Newton-Cotes Method, Gaussian Integration Methods, Lobatto Integration Method, Radau Integration Method, Composite Integration MethodsDownload
37Lecture-37: Double Integration: Trapezoidal Rule, Simpson's Rule, Solution of ODEs: Difference Equation, Single Step Methods, Explicit MethodsDownload
38Lecture-38: Runge-Kutta Methods, Euler-Cauchy Method, Multi-step Methods, Predictor-Corrector MethodsDownload
39Lecture-39: System of Differential Equations, Stability Analysis, Solution of Boundary Value Problem: Shooting MethodDownload
40Lecture-40: Numerical Approach to Solution of PDEs: Heat Conduction Equation, Convergence and StabilityDownload

Sl.No Chapter Name English
1Lecture-01: Linear Algebra: Introduction Download
Verified
2Lecture-02: Linear Algebra: Introduction (contd.) Download
Verified
3Lecture-03: Linear Algebra: Permutation Matrix, Existence of Solution Download
Verified
4Lecture-04: Linear Algebra: Permutation Matrix, Existence of Solution (contd.) Download
Verified
5Lecture-05: Linear Algebra: Linear Independence, Basis Vector and Dimensions Download
Verified
6Lecture-06: Linear Algebra: Null Space, Column Space, Row Space, Introduction to Orthogonal System Download
Verified
7Lecture-07: Linear Algebra: Orthogonal System, Projection, Determinant Download
Verified
8Lecture-08: Linear Algebra: Orthogonal System, Projection, Determinant (contd.) Download
Verified
9Lecture-09: Linear Algebra: Properties of Determinant, Cramer's Rule, Introduction to Eigen Values Download
Verified
10Lecture-10: Linear Algebra: Eigen Values, Eigen Vectors, SVD Download
Verified
11Lecture-11: Linear Algebra: Eigen Values, Eigen Vectors, SVD (contd.) PDF unavailable
12Lecture-12: ODE: Introduction to ODEs, Initial Value Problem, Separation of Variables PDF unavailable
13Lecture-13: ODE: Solution of Exact ODEs, First Order Linear Systems PDF unavailable
14Lecture-14: ODE: Solution of Second Order Linear ODEs PDF unavailable
15Lecture-15: ODE: Existence and Uniqueness of Solution, Non-Homogeneous System PDF unavailable
16Lecture-16: ODE: Higher Order Linear ODEs, Variation of Parameters, System of ODEs PDF unavailable
17Lecture-17: ODE: Linear Systems, Superposition for Homogeneous Systems PDF unavailable
18Lecture-18: Fourier Analysis, Orthogonality of Trigonometric Systems, Euler's Formula PDF unavailable
19Lecture-19: Parseval's Theorem, Fourier Integrals, Laplace Transforms PDF unavailable
20Lecture-20: PDE: Introduction to PDEs, Solution of PDEs using Characteristics Curve PDF unavailable
21Lecture-21: PDE: First Order PDEs, Dilation Invariant Solution of Differential Equations PDF unavailable
22Lecture-22: PDE: Solution of Linear PDEs PDF unavailable
23Lecture-23: PDE: Separation of Variables, Eigenvalue Problem, Poisson Integral RepresentationPDF unavailable
24Lecture-24: PDE: Boundary Conditions, Solution of 2D systems PDF unavailable
25Lecture-25: Introduction to Numerical Methods, Mathematical Models, Errors PDF unavailable
26Lecture-26: Errors, Numerical Differentiation, Stability PDF unavailable
27Lecture-27: Roots of Equations: Graphical Method, Bi-Section Mehtod, False-Position MethodPDF unavailable
28Lecture-28: Secant Method, Brent's Method, Multipoint Iteration Method, Derative Free MethodPDF unavailable
29Lecture-29: Complex Roots, Birge-Vieta Method, Bairstow's method PDF unavailable
30Lecture-30: Solution of Linear Algebric Equations, Gauss Elimination Method PDF unavailable
31Lecture-31: Direct Methods: Gauss Elimination, Gauss-Jordan, Crout's Method, Cholesky Method, Iterative Methods: Jacobi Iteration Method, Gauss-SeidelPDF unavailable
32Lecture-32: Extrapolation Method, Eigenvalue Problem, Jacobi Method, Householder's Method for Symmetric Matrices, Power Method, Inverse Power MethodPDF unavailable
33Lecture-33: Interpolation: Taylor's Series, Lagrange and Newton Interpolation, Iterated Interpolation, Hermite Interpolation, Finite Difference OperationsPDF unavailable
34Lecture-34: Piecewise and Spline Interpolation, Bivariate Interpolation, Least Square Approximation, Uniform Polynomial ApproximationPDF unavailable
35Lecture-35: Numerical Differentiation and Intergration, Methods Based on Finite Differences, Methods based on Undetermined Coefficients, Extrapolation Methods, Partial DifferentiationPDF unavailable
36Lecture-36: Numerical Integration: Newton-Cotes Method, Gaussian Integration Methods, Lobatto Integration Method, Radau Integration Method, Composite Integration MethodsPDF unavailable
37Lecture-37: Double Integration: Trapezoidal Rule, Simpson's Rule, Solution of ODEs: Difference Equation, Single Step Methods, Explicit MethodsPDF unavailable
38Lecture-38: Runge-Kutta Methods, Euler-Cauchy Method, Multi-step Methods, Predictor-Corrector MethodsPDF unavailable
39Lecture-39: System of Differential Equations, Stability Analysis, Solution of Boundary Value Problem: Shooting MethodPDF unavailable
40Lecture-40: Numerical Approach to Solution of PDEs: Heat Conduction Equation, Convergence and StabilityPDF unavailable


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