Modules / Lectures
Module NameDownloadDescriptionDownload Size
Week 0CT1_IntroCT1_Intro138 kb
Week 1CT2_ErrorAnalCT2_ErrorAnal117 kb
Week 2CT3_LinSysCT3_LinSys150 kb
Week 3CT4_AlgebraicEqCT4_AlgebraicEq183 kb
Week 4CT5_RegressCT5_Regress199 kb
Week 5CT6_DifferIntegCT6_DifferInteg313 kb
Week 6CT7_ODE-IVPCT7_ODE-IVP267 kb
Week 7CT8_ODE-BVPCT8_ODE-BVP129 kb
Week 8CT9_PDECT9_PDE131 kb
Module NameDownload
Week_01_Assignment_1Week_01_Assignment_1
Week_02_Assignment_2Week_02_Assignment_2
Week_03_Assignment_3Week_03_Assignment_3
Week_04_Assignment_4Week_04_Assignment_4
Week_05_Assignment_5Week_05_Assignment_5
Week_06_Assignment_6Week_06_Assignment_6
Week_07_Assignment_7Week_07_Assignment_7
Week_08_Assignment_8Week_08_Assignment_8
Week_09_Assignment_9Week_09_Assignment_9
Week_10_Assignment_10Week_10_Assignment_10
Week_11_Assignment_11Week_11_Assignment_11
Week_12_Assignment_12Week_12_Assignment_12
Module NameDownloadDescriptionDownload Size
Week 0CT1_IntroCT1_Intro11 kb
Week 1CT2_ErrorAnalCT2_ErrorAnal16 kb
Week 1CT2_ErrorAnalCT2_ErrorAnal22 kb
Week 2CT3_LinSysCT3_LinSys13 kb
Week 2CT3_LinSysCT3_LinSys21 kb
Week 3CT4_AlgebraicEqCT4_AlgebraicEq21 kb
Week 3CT4_AlgebraicEqCT4_AlgebraicEq23 kb
Week 4CT5_RegressCT5_Regress24 kb
Week 4CT5_RegressCT5_Regress24 kb
Week 4CT5_RegressCT5_Regress25 kb
Week 4CT5_RegressCT5_Regress25 kb
Week 5CT6_DifferIntegCT6_DifferInteg18 kb
Week 5CT6_DifferIntegCT6_DifferInteg34 kb
Week 6CT7_ODE-IVPCT7_ODE-IVP94 kb
Week 6CT7_ODE-IVPCT7_ODE-IVP23 kb
Week 7CT8_ODE-BVPCT8_ODE-BVP84 kb
Week 8CT9_PDECT9_PDE19 kb
Week 8CT9_PDECT9_PDE26 kb


Sl.No Chapter Name MP4 Download Transcript Download
1IntroductionDownloadPDF unavailable
2Overview of Learning ModulesDownloadPDF unavailable
3Course PlanDownloadPDF unavailable
4Tutorial: ExcelDownloadPDF unavailable
5Errors and ApproximationsDownloadPDF unavailable
6Truncation and Round-Off ErrorsDownloadPDF unavailable
7Binary Numbers: IntroductionDownloadPDF unavailable
8Floating Point: Real numbers in decimal systemDownloadPDF unavailable
9Floating Point in Binary systemDownloadPDF unavailable
10Iterative MethodDownloadPDF unavailable
11Direct MethodDownloadPDF unavailable
12Sequential MethodDownloadPDF unavailable
13Linear Algebra: BasicsDownloadPDF unavailable
14Introduction to Linear EquationsDownloadPDF unavailable
15Rank Condition for Solving Linear EquationsDownloadPDF unavailable
16Motivating Gauss EliminationDownloadPDF unavailable
17Gauss Elimination DownloadPDF unavailable
18Tutorial Recap: Gauss EliminationDownloadPDF unavailable
19Back Substitution to find solutionDownloadPDF unavailable
20Gauss Jordan and LU DecompositionDownloadPDF unavailable
21Partial Pivoting in Gauss EliminationDownloadPDF unavailable
22Analysis of Gauss EliminationDownloadPDF unavailable
23Tri-Diagonal Systems: Practical RelevanceDownloadPDF unavailable
24Thomas Algorithm for Tri-Diagonal SystemsDownloadPDF unavailable
25Gauss Siedel MethodDownloadPDF unavailable
26Analysis of Gauss Siedel MethodDownloadPDF unavailable
27Gauss Siedel vs. Jacobi MethodsDownloadPDF unavailable
28Bonus: Example using MS ExcelDownloadPDF unavailable
29Summary: Linear EquationsDownloadPDF unavailable
30Introduction to Nonlinear EquationsDownloadPDF unavailable
31Bisection MethodDownloadPDF unavailable
32Analysis of Bisection MethodDownloadPDF unavailable
33Bonus: Excel Solution for Bisection MethodDownloadPDF unavailable
34Regula-Falsi MethodDownloadPDF unavailable
35Bonus: Excel Solution for Regula-Falsi MethodDownloadPDF unavailable
36Regula-Falsi vs. Secant MethodDownloadPDF unavailable
37Bonus: Excel Solution for Secant MethodDownloadPDF unavailable
38Some special casesDownloadPDF unavailable
39Fixed-Point IterationDownloadPDF unavailable
40Newton-Raphson MethodDownloadPDF unavailable
41Analysis of Fixed-Point IterationDownloadPDF unavailable
42Analysis of Newton-RaphsonDownloadPDF unavailable
43Problems with Newton-RaphsonDownloadPDF unavailable
44Multi-Variable Fixed-Point IterationDownloadPDF unavailable
45Multi-Variable Newton-RaphsonDownloadPDF unavailable
46Out of Syllabus: Improvements to NR MethodsDownloadPDF unavailable
47Out of Syllabus: Roots of a polynomialDownloadPDF unavailable
48Summary DownloadPDF unavailable
49Introduction: Regression and InterpolationDownloadPDF unavailable
50Linear Regression in One VariableDownloadPDF unavailable
51Recap: Formula for Linear RegressionDownloadPDF unavailable
52Bonus: Linear Regression using MS-ExcelDownloadPDF unavailable
53Linear Regression in Multiple VariablesDownloadPDF unavailable
54Matrix Method for Multi-Linear RegressionDownloadPDF unavailable
55Polynomial RegressionDownloadPDF unavailable
56Functional RegressionDownloadPDF unavailable
57Bonus: X-Y versus Y-X data (Using MS Excel)DownloadPDF unavailable
58Interpolation: Introduction & A Naïve ExtensionDownloadPDF unavailable
59Bonus: MS-Excel for Naïve InterpolationDownloadPDF unavailable
60Lagrange Interpolating PolynomialsDownloadPDF unavailable
61Newton's Forward Difference PolynomialDownloadPDF unavailable
62Newton's Divided Differences: DerivationDownloadPDF unavailable
63Interpolation ExamplesDownloadPDF unavailable
64Bonus: MS-Excel for Newton's PolynomialDownloadPDF unavailable
65Summary: Regression and InterpolationDownloadPDF unavailable
66Numerical Differentiation: IntroductionDownloadPDF unavailable
67Numerical Differentiation Formula and AnalysisDownloadPDF unavailable
68Derivation using "Method of undetermined coefficients"DownloadPDF unavailable
69Three-point differentiation formulaeDownloadPDF unavailable
70Bonus: Differentiation using MS-ExcelDownloadPDF unavailable
71Truncation vs. Round-Off ErrorsDownloadPDF unavailable
72Numerical Differentiation ExamplesDownloadPDF unavailable
73Summary of Numerical DifferentiationDownloadPDF unavailable
74Numerical Integration: IntroductionDownloadPDF unavailable
75Trapezoidal rule and DerivationDownloadPDF unavailable
76Simpson's Rules for IntegrationDownloadPDF unavailable
77Bonus: MS-Excel for Numerical IntegrationDownloadPDF unavailable
78Error Analysis for Simpson's RulesDownloadPDF unavailable
79Numerical Integration ExamplesDownloadPDF unavailable
80Bonus: Integration using MS-ExcelDownloadPDF unavailable
81Summary of "Newton Cotes" FormulaeDownloadPDF unavailable
82Richardson's ExtrapolationDownloadPDF unavailable
83Gauss QuadratureDownloadPDF unavailable
84Summary of Numerical IntegrationDownloadPDF unavailable
85Introduction to ODE-IVPDownloadPDF unavailable
86Motivation using an Example (Bonus)DownloadPDF unavailable
87Euler's Methods and Second-Order MethodsDownloadPDF unavailable
88Second-Order Runge-Kutta MethodsDownloadPDF unavailable
89Summary of RK-2DownloadPDF unavailable
90Higher order RK MethodsDownloadPDF unavailable
91Bonus: ODE-IVP using MS-ExcelDownloadPDF unavailable
92Bonus: RK-2 and RK-4 Methods using MS-ExcelDownloadPDF unavailable
93Summary and RecapDownloadPDF unavailable
94Introduction to Predictor-Corrector MethodsDownloadPDF unavailable
95Stability of Implicit Methods: OverviewDownloadPDF unavailable
96Stability Analysis of Euler's MethodsDownloadPDF unavailable
97Extension to multiple variablesDownloadPDF unavailable
98Local vs. Global Truncation ErrorsDownloadPDF unavailable
99Richardson's Extrapolation DownloadPDF unavailable
100Stiff System of ODEs: IntroductionDownloadPDF unavailable
101Adaptive Step-sizingDownloadPDF unavailable
102Adaptive step-sizing and Embedded MethodsDownloadPDF unavailable
103Bonus: Errors and Extrapolation using MS-ExcelDownloadPDF unavailable
104Summary and Recap (Weeks 10 and 11)DownloadPDF unavailable
105Introduction to ODE-BVPDownloadPDF unavailable
106Shooting Method: An OverviewDownloadPDF unavailable
107Finite Difference Method: An OverviewDownloadPDF unavailable
108Solution using Shooting MethodDownloadPDF unavailable
109Algorithm for Shooting MethodDownloadPDF unavailable
110Problems with Shooting MethodDownloadPDF unavailable
111Solving ODE-BVP using Finite Difference MethodDownloadPDF unavailable
112Microsoft Excel based SolutionDownloadPDF unavailable
113Recap of Week-12 (ODE-BVP)DownloadPDF unavailable