6Week 1 : Lecture 6 : Arithmetic Error: Condition Number and Stable ComputationDownload
7Week 2 : Lecture 7 : Tutorial Session - 1: Problem SolvingDownload
10Week 2 : Lecture 10 : Linear Systems: LU-Factorization (Doolittle and Crout)Download
12Week 3 : Lecture 12 : Linear Systems: Operation Count for Direct MethodsDownload
13Week 3 : Lecture 13 : Tutorial Session - 2: Python Coding for Naive Gaussian Elimination MethodDownload
14Week 3 : Lecture 14 : Tutorial Session - 3: Python Coding for Thomas AlgorithmDownload
16Week 3 : Lecture 16 : Matrix Norms: Condition Number of a MatrixDownload
17Week 5 : Lecture 22 : Tutorial Session - 4: Python implementation of Jacobi MethodDownload
18Week 5 : Lecture 23 : Eigenvalues and Eigenvectors: Power Method (Construction)Download
19Week 5 : Lecture 24 : Eigenvalues and Eigenvectors: Power Method (Convergence Theorem)Download
20Week 5 : Lecture 25 : Eigenvalues and Eigenvectors: Gerschgorin's Theorem and Applications Download
21Week 5 : Lecture 26 : Eigenvalues and Eigenvectors: Power Method (Inverse and Shifted Methods)Download
24Week 6 : Lecture 29 : Tutorial Session - 5: Implementation of Bisection MethodDownload
25Week 6 : Lecture 30 : Nonlinear Equations: Regula-falsi and Secant MethodsDownload
26Week 6 : Lecture 31 : Nonlinear Equations: Convergence Theorem of Secant MethodDownload
28Week 7 : Lecture 33 : Nonlinear Equations: Newton-Raphson's method (Convergence Theorem)Download
31Week 7 : Lecture 36 : Nonlinear Equations: System of Nonlinear EquationsDownload
32Week 8 : Lecture 37 : Nonlinear Equations: Implementation of Newton-Raphson's Method as Python CodeDownload
34Week 8 : Lecture 39 : Polynomial Interpolation: Lagrange and Newton FormsDownload
36Week 8 : Lecture 41 : Polynomial Interpolation: Mathematical Error in Interpolating PolynomialDownload
37Week 9 : Lecture 42 : Polynomial Interpolation: Arithmetic Error in Interpolating PolynomialsDownload
38Week 9 : Lecture 43 : Polynomial Interpolation: Implementation of Lagrange Form as Python CodeDownload
39Week 9 : Lecture 44: Polynomial Interpolation: Runge Phenomenon & Piecewise Polynomial InterpolationDownload
48Week 11 : Lecture 53 : Numerical Differentiation: Primitive Finite Difference FormulaeDownload
49Lecture 54 : Numerical Differentiation: Method of Undetermined Coefficients and Arithmetic ErrorDownload
51Week 11 : Lecture 56 : Numerical ODEs: Euler Methods (Error Analysis)Download
56Week 12 : Lecture 61 : Numerical ODEs: Two-point Boundary Value ProblemsDownload

Sl.No Chapter Name English
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6Week 1 : Lecture 6 : Arithmetic Error: Condition Number and Stable ComputationDownload
Verified
7Week 2 : Lecture 7 : Tutorial Session - 1: Problem SolvingDownload
Verified
Verified
Verified
10Week 2 : Lecture 10 : Linear Systems: LU-Factorization (Doolittle and Crout)Download
Verified
Verified
12Week 3 : Lecture 12 : Linear Systems: Operation Count for Direct MethodsDownload
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13Week 3 : Lecture 13 : Tutorial Session - 2: Python Coding for Naive Gaussian Elimination MethodDownload
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14Week 3 : Lecture 14 : Tutorial Session - 3: Python Coding for Thomas AlgorithmDownload
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15Week 3 : Lecture 15 : Matrix Norms: Subordinate Matrix NormsPDF unavailable
16Week 3 : Lecture 16 : Matrix Norms: Condition Number of a MatrixPDF unavailable
17Week 5 : Lecture 22 : Tutorial Session - 4: Python implementation of Jacobi MethodPDF unavailable
18Week 5 : Lecture 23 : Eigenvalues and Eigenvectors: Power Method (Construction)PDF unavailable
19Week 5 : Lecture 24 : Eigenvalues and Eigenvectors: Power Method (Convergence Theorem)PDF unavailable
20Week 5 : Lecture 25 : Eigenvalues and Eigenvectors: Gerschgorin's Theorem and Applications PDF unavailable
21Week 5 : Lecture 26 : Eigenvalues and Eigenvectors: Power Method (Inverse and Shifted Methods)PDF unavailable
22Week 6 : Lecture 27 : Nonlinear Equations: OverviewPDF unavailable
23Week 6 : Lecture 28 : Nonlinear Equations: Bisection MethodPDF unavailable
24Week 6 : Lecture 29 : Tutorial Session - 5: Implementation of Bisection MethodPDF unavailable
25Week 6 : Lecture 30 : Nonlinear Equations: Regula-falsi and Secant MethodsPDF unavailable
26Week 6 : Lecture 31 : Nonlinear Equations: Convergence Theorem of Secant MethodPDF unavailable
27Week 7 : Lecture 32 : Nonlinear Equations: Newton-Raphson's methodPDF unavailable
28Week 7 : Lecture 33 : Nonlinear Equations: Newton-Raphson's method (Convergence Theorem)PDF unavailable
29Week 7 : Lecture 34 : Nonlinear Equations: Fixed-point Iteration MethodsPDF unavailable
30Lecture 35:Nonlinear Equations: Fixed-point Iteration Methods (Convergence)&Modified Newton's MethodPDF unavailable
31Week 7 : Lecture 36 : Nonlinear Equations: System of Nonlinear EquationsPDF unavailable
32Week 8 : Lecture 37 : Nonlinear Equations: Implementation of Newton-Raphson's Method as Python CodePDF unavailable
33Week 8 : Lecture 38 : Polynomial Interpolation: Existence and UniquenessPDF unavailable
34Week 8 : Lecture 39 : Polynomial Interpolation: Lagrange and Newton FormsPDF unavailable
35Week 8 : Lecture 40 : Polynomial Interpolation: Newton’s Divided Difference FormulaPDF unavailable
36Week 8 : Lecture 41 : Polynomial Interpolation: Mathematical Error in Interpolating PolynomialPDF unavailable
37Week 9 : Lecture 42 : Polynomial Interpolation: Arithmetic Error in Interpolating PolynomialsPDF unavailable
38Week 9 : Lecture 43 : Polynomial Interpolation: Implementation of Lagrange Form as Python CodePDF unavailable
39Week 9 : Lecture 44: Polynomial Interpolation: Runge Phenomenon & Piecewise Polynomial InterpolationPDF unavailable
40Week 9 : Lecture 45 : Polynomial Interpolation: Hermite InterpolationPDF unavailable
41Week 9 : Lecture 46 : Polynomial Interpolation: Cubic Spline InterpolationPDF unavailable
42Week 10 : Lecture 47 : Polynomial Interpolation: Tutorial SessionPDF unavailable
43Week 10 : Lecture 48 : Numerical Integration: Rectangle RulePDF unavailable
44Week 10 : Lecture 49 : Numerical Integration: Trapezoidal RulePDF unavailable
45Lecture 50 : Numerical Integration: Simpson's Rule PDF unavailable
46Week 10 : Lecture 51 : Numerical Integration: Gaussian Quadrature RulePDF unavailable
47Week 11 : Lecture 52 : Numerical Integration: Tutorial SessionPDF unavailable
48Week 11 : Lecture 53 : Numerical Differentiation: Primitive Finite Difference FormulaePDF unavailable
49Lecture 54 : Numerical Differentiation: Method of Undetermined Coefficients and Arithmetic ErrorPDF unavailable
50Week 11 : Lecture 55 : Numerical ODEs: Euler MethodsPDF unavailable
51Week 11 : Lecture 56 : Numerical ODEs: Euler Methods (Error Analysis)PDF unavailable
52Week 12 : Lecture 57 : Numerical ODEs: Runge-Kutta MethodsPDF unavailable
53Week 12 : Lecture 58 : Numerical ODEs: Modified Euler's MethodsPDF unavailable
54Week 12 : Lecture 59 : Numerical ODEs: Multistep MethodsPDF unavailable
55Week 12 : Lecture 60 : Numerical ODEs: Stability AnalysisPDF unavailable
56Week 12 : Lecture 61 : Numerical ODEs: Two-point Boundary Value ProblemsPDF unavailable