Modules / Lectures
NameDownloadDownload Size
Lecture NoteDownload as zip file1.4M
Module NameDownload
Module NameDownloadDescriptionDownload Size
Week 0CT1_IntroCT1_Intro11
Week 1CT2_ErrorAnalCT2_ErrorAnal16
Week 1CT2_ErrorAnalCT2_ErrorAnal22
Week 2CT3_LinSysCT3_LinSys13
Week 2CT3_LinSysCT3_LinSys21
Week 3CT4_AlgebraicEqCT4_AlgebraicEq21
Week 3CT4_AlgebraicEqCT4_AlgebraicEq23
Week 4CT5_RegressCT5_Regress24
Week 4CT5_RegressCT5_Regress24
Week 4CT5_RegressCT5_Regress25
Week 4CT5_RegressCT5_Regress25
Week 5CT6_DifferIntegCT6_DifferInteg18
Week 5CT6_DifferIntegCT6_DifferInteg34
Week 8CT9_PDECT9_PDE19
Week 8CT9_PDECT9_PDE26

Sl.No Chapter Name MP4 Download
2Overview of Learning ModulesDownload
3Course PlanDownload
4Tutorial: ExcelDownload
5Errors and ApproximationsDownload
6Truncation and Round-Off ErrorsDownload
7Binary Numbers: IntroductionDownload
8Floating Point: Real numbers in decimal systemDownload
9Floating Point in Binary systemDownload
10Iterative MethodDownload
11Direct MethodDownload
12Sequential MethodDownload
13Linear Algebra: BasicsDownload
14Introduction to Linear EquationsDownload
15Rank Condition for Solving Linear EquationsDownload
16Motivating Gauss EliminationDownload
17Gauss Elimination Download
18Tutorial Recap: Gauss EliminationDownload
19Back Substitution to find solutionDownload
20Gauss Jordan and LU DecompositionDownload
21Partial Pivoting in Gauss EliminationDownload
22Analysis of Gauss EliminationDownload
23Tri-Diagonal Systems: Practical RelevanceDownload
24Thomas Algorithm for Tri-Diagonal SystemsDownload
25Gauss Siedel MethodDownload
26Analysis of Gauss Siedel MethodDownload
27Gauss Siedel vs. Jacobi MethodsDownload
28Bonus: Example using MS ExcelDownload
29Summary: Linear EquationsDownload
30Introduction to Nonlinear EquationsDownload
31Bisection MethodDownload
32Analysis of Bisection MethodDownload
33Bonus: Excel Solution for Bisection MethodDownload
34Regula-Falsi MethodDownload
35Bonus: Excel Solution for Regula-Falsi MethodDownload
36Regula-Falsi vs. Secant MethodDownload
37Bonus: Excel Solution for Secant MethodDownload
38Some special casesDownload
39Fixed-Point IterationDownload
40Newton-Raphson MethodDownload
41Analysis of Fixed-Point IterationDownload
42Analysis of Newton-RaphsonDownload
43Problems with Newton-RaphsonDownload
44Multi-Variable Fixed-Point IterationDownload
45Multi-Variable Newton-RaphsonDownload
46Out of Syllabus: Improvements to NR MethodsDownload
47Out of Syllabus: Roots of a polynomialDownload
48Summary Download
49Introduction: Regression and InterpolationDownload
50Linear Regression in One VariableDownload
51Recap: Formula for Linear RegressionDownload
52Bonus: Linear Regression using MS-ExcelDownload
53Linear Regression in Multiple VariablesDownload
54Matrix Method for Multi-Linear RegressionDownload
55Polynomial RegressionDownload
56Functional RegressionDownload
57Bonus: X-Y versus Y-X data (Using MS Excel)Download
58Interpolation: Introduction & A Naïve ExtensionDownload
59Bonus: MS-Excel for Naïve InterpolationDownload
60Lagrange Interpolating PolynomialsDownload
61Newton's Forward Difference PolynomialDownload
62Newton's Divided Differences: DerivationDownload
63Interpolation ExamplesDownload
64Bonus: MS-Excel for Newton's PolynomialDownload
65Summary: Regression and InterpolationDownload
66Numerical Differentiation: IntroductionDownload
67Numerical Differentiation Formula and AnalysisDownload
68Derivation using "Method of undetermined coefficients"Download
69Three-point differentiation formulaeDownload
70Bonus: Differentiation using MS-ExcelDownload
71Truncation vs. Round-Off ErrorsDownload
72Numerical Differentiation ExamplesDownload
73Summary of Numerical DifferentiationDownload
74Numerical Integration: IntroductionDownload
75Trapezoidal rule and DerivationDownload
76Simpson's Rules for IntegrationDownload
77Bonus: MS-Excel for Numerical IntegrationDownload
78Error Analysis for Simpson's RulesDownload
79Numerical Integration ExamplesDownload
80Bonus: Integration using MS-ExcelDownload
81Summary of "Newton Cotes" FormulaeDownload
82Richardson's ExtrapolationDownload
83Gauss QuadratureDownload
84Summary of Numerical IntegrationDownload
85Introduction to ODE-IVPDownload
86Motivation using an Example (Bonus)Download
87Euler's Methods and Second-Order MethodsDownload
88Second-Order Runge-Kutta MethodsDownload
89Summary of RK-2Download
90Higher order RK MethodsDownload
91Bonus: ODE-IVP using MS-ExcelDownload
92Bonus: RK-2 and RK-4 Methods using MS-ExcelDownload
93Summary and RecapDownload
94Introduction to Predictor-Corrector MethodsDownload
95Stability of Implicit Methods: OverviewDownload
96Stability Analysis of Euler's MethodsDownload
97Extension to multiple variablesDownload
98Local vs. Global Truncation ErrorsDownload
99Richardson's Extrapolation Download
100Stiff System of ODEs: IntroductionDownload
101Adaptive Step-sizingDownload
102Adaptive step-sizing and Embedded MethodsDownload
103Bonus: Errors and Extrapolation using MS-ExcelDownload
104Summary and Recap (Weeks 10 and 11)Download
105Introduction to ODE-BVPDownload
106Shooting Method: An OverviewDownload
107Finite Difference Method: An OverviewDownload
108Solution using Shooting MethodDownload
109Algorithm for Shooting MethodDownload
110Problems with Shooting MethodDownload
111Solving ODE-BVP using Finite Difference MethodDownload
112Microsoft Excel based SolutionDownload
113Recap of Week-12 (ODE-BVP)Download

Sl.No Chapter Name English
1IntroductionPDF unavailable
2Overview of Learning ModulesPDF unavailable
3Course PlanPDF unavailable
4Tutorial: ExcelPDF unavailable
5Errors and ApproximationsPDF unavailable
6Truncation and Round-Off ErrorsPDF unavailable
7Binary Numbers: IntroductionPDF unavailable
8Floating Point: Real numbers in decimal systemPDF unavailable
9Floating Point in Binary systemPDF unavailable
10Iterative MethodPDF unavailable
11Direct MethodPDF unavailable
12Sequential MethodPDF unavailable
13Linear Algebra: BasicsPDF unavailable
14Introduction to Linear EquationsPDF unavailable
15Rank Condition for Solving Linear EquationsPDF unavailable
16Motivating Gauss EliminationPDF unavailable
17Gauss Elimination PDF unavailable
18Tutorial Recap: Gauss EliminationPDF unavailable
19Back Substitution to find solutionPDF unavailable
20Gauss Jordan and LU DecompositionPDF unavailable
21Partial Pivoting in Gauss EliminationPDF unavailable
22Analysis of Gauss EliminationPDF unavailable
23Tri-Diagonal Systems: Practical RelevancePDF unavailable
24Thomas Algorithm for Tri-Diagonal SystemsPDF unavailable
25Gauss Siedel MethodPDF unavailable
26Analysis of Gauss Siedel MethodPDF unavailable
27Gauss Siedel vs. Jacobi MethodsPDF unavailable
28Bonus: Example using MS ExcelPDF unavailable
29Summary: Linear EquationsPDF unavailable
30Introduction to Nonlinear EquationsPDF unavailable
31Bisection MethodPDF unavailable
32Analysis of Bisection MethodPDF unavailable
33Bonus: Excel Solution for Bisection MethodPDF unavailable
34Regula-Falsi MethodPDF unavailable
35Bonus: Excel Solution for Regula-Falsi MethodPDF unavailable
36Regula-Falsi vs. Secant MethodPDF unavailable
37Bonus: Excel Solution for Secant MethodPDF unavailable
38Some special casesPDF unavailable
39Fixed-Point IterationPDF unavailable
40Newton-Raphson MethodPDF unavailable
41Analysis of Fixed-Point IterationPDF unavailable
42Analysis of Newton-RaphsonPDF unavailable
43Problems with Newton-RaphsonPDF unavailable
44Multi-Variable Fixed-Point IterationPDF unavailable
45Multi-Variable Newton-RaphsonPDF unavailable
46Out of Syllabus: Improvements to NR MethodsPDF unavailable
47Out of Syllabus: Roots of a polynomialPDF unavailable
48Summary PDF unavailable
49Introduction: Regression and InterpolationPDF unavailable
50Linear Regression in One VariablePDF unavailable
51Recap: Formula for Linear RegressionPDF unavailable
52Bonus: Linear Regression using MS-ExcelPDF unavailable
53Linear Regression in Multiple VariablesPDF unavailable
54Matrix Method for Multi-Linear RegressionPDF unavailable
55Polynomial RegressionPDF unavailable
56Functional RegressionPDF unavailable
57Bonus: X-Y versus Y-X data (Using MS Excel)PDF unavailable
58Interpolation: Introduction & A Naïve ExtensionPDF unavailable
59Bonus: MS-Excel for Naïve InterpolationPDF unavailable
60Lagrange Interpolating PolynomialsPDF unavailable
61Newton's Forward Difference PolynomialPDF unavailable
62Newton's Divided Differences: DerivationPDF unavailable
63Interpolation ExamplesPDF unavailable
64Bonus: MS-Excel for Newton's PolynomialPDF unavailable
65Summary: Regression and InterpolationPDF unavailable
66Numerical Differentiation: IntroductionPDF unavailable
67Numerical Differentiation Formula and AnalysisPDF unavailable
68Derivation using "Method of undetermined coefficients"PDF unavailable
69Three-point differentiation formulaePDF unavailable
70Bonus: Differentiation using MS-ExcelPDF unavailable
71Truncation vs. Round-Off ErrorsPDF unavailable
72Numerical Differentiation ExamplesPDF unavailable
73Summary of Numerical DifferentiationPDF unavailable
74Numerical Integration: IntroductionPDF unavailable
75Trapezoidal rule and DerivationPDF unavailable
76Simpson's Rules for IntegrationPDF unavailable
77Bonus: MS-Excel for Numerical IntegrationPDF unavailable
78Error Analysis for Simpson's RulesPDF unavailable
79Numerical Integration ExamplesPDF unavailable
80Bonus: Integration using MS-ExcelPDF unavailable
81Summary of "Newton Cotes" FormulaePDF unavailable
82Richardson's ExtrapolationPDF unavailable
83Gauss QuadraturePDF unavailable
84Summary of Numerical IntegrationPDF unavailable
85Introduction to ODE-IVPPDF unavailable
86Motivation using an Example (Bonus)PDF unavailable
87Euler's Methods and Second-Order MethodsPDF unavailable
88Second-Order Runge-Kutta MethodsPDF unavailable
89Summary of RK-2PDF unavailable
90Higher order RK MethodsPDF unavailable
91Bonus: ODE-IVP using MS-ExcelPDF unavailable
92Bonus: RK-2 and RK-4 Methods using MS-ExcelPDF unavailable
93Summary and RecapPDF unavailable
94Introduction to Predictor-Corrector MethodsPDF unavailable
95Stability of Implicit Methods: OverviewPDF unavailable
96Stability Analysis of Euler's MethodsPDF unavailable
97Extension to multiple variablesPDF unavailable
98Local vs. Global Truncation ErrorsPDF unavailable
99Richardson's Extrapolation PDF unavailable
100Stiff System of ODEs: IntroductionPDF unavailable
101Adaptive Step-sizingPDF unavailable
102Adaptive step-sizing and Embedded MethodsPDF unavailable
103Bonus: Errors and Extrapolation using MS-ExcelPDF unavailable
104Summary and Recap (Weeks 10 and 11)PDF unavailable
105Introduction to ODE-BVPPDF unavailable
106Shooting Method: An OverviewPDF unavailable
107Finite Difference Method: An OverviewPDF unavailable
108Solution using Shooting MethodPDF unavailable
109Algorithm for Shooting MethodPDF unavailable
110Problems with Shooting MethodPDF unavailable
111Solving ODE-BVP using Finite Difference MethodPDF unavailable
112Microsoft Excel based SolutionPDF unavailable
113Recap of Week-12 (ODE-BVP)PDF unavailable

Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available