| Name | Download | Download Size |
|---|---|---|
| Lecture Note | Download as zip file | 1.4M |
| Module Name | Download |
|---|---|
| Week_01_Assignment_1 | Week_01_Assignment_1 |
| Week_02_Assignment_2 | Week_02_Assignment_2 |
| Week_03_Assignment_3 | Week_03_Assignment_3 |
| Week_04_Assignment_4 | Week_04_Assignment_4 |
| Week_05_Assignment_5 | Week_05_Assignment_5 |
| Week_06_Assignment_6 | Week_06_Assignment_6 |
| Week_07_Assignment_7 | Week_07_Assignment_7 |
| Week_08_Assignment_8 | Week_08_Assignment_8 |
| Week_09_Assignment_9 | Week_09_Assignment_9 |
| Week_10_Assignment_10 | Week_10_Assignment_10 |
| Week_11_Assignment_11 | Week_11_Assignment_11 |
| Week_12_Assignment_12 | Week_12_Assignment_12 |
| Module Name | Download | Description | Download Size |
|---|---|---|---|
| Week 0 | CT1_Intro | CT1_Intro | 11 |
| Week 1 | CT2_ErrorAnal | CT2_ErrorAnal | 16 |
| Week 1 | CT2_ErrorAnal | CT2_ErrorAnal | 22 |
| Week 2 | CT3_LinSys | CT3_LinSys | 13 |
| Week 2 | CT3_LinSys | CT3_LinSys | 21 |
| Week 3 | CT4_AlgebraicEq | CT4_AlgebraicEq | 21 |
| Week 3 | CT4_AlgebraicEq | CT4_AlgebraicEq | 23 |
| Week 4 | CT5_Regress | CT5_Regress | 24 |
| Week 4 | CT5_Regress | CT5_Regress | 24 |
| Week 4 | CT5_Regress | CT5_Regress | 25 |
| Week 4 | CT5_Regress | CT5_Regress | 25 |
| Week 5 | CT6_DifferInteg | CT6_DifferInteg | 18 |
| Week 5 | CT6_DifferInteg | CT6_DifferInteg | 34 |
| Week 6 | CT7_ODE-IVP | CT7_ODE-IVP | 94 |
| Week 6 | CT7_ODE-IVP | CT7_ODE-IVP | 23 |
| Week 7 | CT8_ODE-BVP | CT8_ODE-BVP | 84 |
| Week 8 | CT9_PDE | CT9_PDE | 19 |
| Week 8 | CT9_PDE | CT9_PDE | 26 |
| Sl.No | Chapter Name | MP4 Download |
|---|---|---|
| 1 | Introduction - Computational Techniques | Download |
| 2 | TAs Intro 01 - Numerical methods for Engineers | Download |
| 3 | TAs Intro 02 - Numerical methods for Engineers | Download |
| 4 | Overview of Learning Modules | Download |
| 5 | Errors and Approximations | Download |
| 6 | Course Plan | Download |
| 7 | Truncation and Round-Off Errors | Download |
| 8 | Tutorial: Excel | Download |
| 9 | Binary Numbers: Introduction | Download |
| 10 | Floating Point: Real numbers in decimal system | Download |
| 11 | Floating Point in Binary system | Download |
| 12 | Iterative Method | Download |
| 13 | Direct Method | Download |
| 14 | Sequential Method | Download |
| 15 | Linear Algebra: Basics | Download |
| 16 | Introduction to Linear Equations | Download |
| 17 | Rank Condition for Solving Linear Equations | Download |
| 18 | Motivating Gauss Elimination | Download |
| 19 | Gauss Elimination | Download |
| 20 | Tutorial Recap: Gauss Elimination | Download |
| 21 | Back Substitution to find solution | Download |
| 22 | Gauss Jordan and LU Decomposition | Download |
| 23 | Partial Pivoting in Gauss Elimination | Download |
| 24 | Analysis of Gauss Elimination | Download |
| 25 | Tri-Diagonal Systems: Practical Relevance | Download |
| 26 | Thomas Algorithm for Tri-Diagonal Systems | Download |
| 27 | Gauss Siedel Method | Download |
| 28 | Analysis of Gauss Siedel Method | Download |
| 29 | Gauss Siedel vs. Jacobi Methods | Download |
| 30 | Bonus: Example using MS Excel | Download |
| 31 | Summary: Linear Equations | Download |
| 32 | Introduction to Nonlinear Equations | Download |
| 33 | Bisection Method | Download |
| 34 | Analysis of Bisection Method | Download |
| 35 | Bonus: Excel Solution for Bisection Method | Download |
| 36 | Regula-Falsi Method | Download |
| 37 | Bonus: Excel Solution for Regula-Falsi Method | Download |
| 38 | Regula-Falsi vs. Secant Method | Download |
| 39 | Bonus: Excel Solution for Secant Method | Download |
| 40 | Some special cases | Download |
| 41 | Fixed-Point Iteration | Download |
| 42 | Newton-Raphson Method | Download |
| 43 | Analysis of Fixed-Point Iteration | Download |
| 44 | Analysis of Newton-Raphson | Download |
| 45 | Problems with Newton-Raphson | Download |
| 46 | Multi-Variable Fixed-Point Iteration | Download |
| 47 | Multi-Variable Newton-Raphson | Download |
| 48 | Out of Syllabus: Improvements to NR Methods | Download |
| 49 | Out of Syllabus: Roots of a polynomial | Download |
| 50 | Summary | Download |
| 51 | Introduction: Regression and Interpolation | Download |
| 52 | Linear Regression in One Variable | Download |
| 53 | Recap: Formula for Linear Regression | Download |
| 54 | Bonus: Linear Regression using MS-Excel | Download |
| 55 | Linear Regression in Multiple Variables | Download |
| 56 | Matrix Method for Multi-Linear Regression | Download |
| 57 | Polynomial Regression | Download |
| 58 | Functional Regression | Download |
| 59 | Bonus: X-Y versus Y-X data (Using MS Excel) | Download |
| 60 | Interpolation: Introduction & A Naïve Extension | Download |
| 61 | Bonus: MS-Excel for Naïve Interpolation | Download |
| 62 | Lagrange Interpolating Polynomials | Download |
| 63 | Newton's Forward Difference Polynomial | Download |
| 64 | Newton's Divided Differences: Derivation | Download |
| 65 | Interpolation Examples | Download |
| 66 | Bonus: MS-Excel for Newton's Polynomial | Download |
| 67 | Summary: Regression and Interpolation | Download |
| 68 | Numerical Differentiation: Introduction | Download |
| 69 | Numerical Differentiation Formula and Analysis | Download |
| 70 | Derivation using "Method of undetermined coefficients" | Download |
| 71 | Three-point differentiation formulae | Download |
| 72 | Bonus: Differentiation using MS-Excel | Download |
| 73 | Truncation vs. Round-Off Errors | Download |
| 74 | Numerical Differentiation Examples | Download |
| 75 | Summary of Numerical Differentiation | Download |
| 76 | Numerical Integration: Introduction | Download |
| 77 | Trapezoidal rule and Derivation | Download |
| 78 | Simpson's Rules for Integration | Download |
| 79 | Bonus: MS-Excel for Numerical Integration | Download |
| 80 | Error Analysis for Simpson's Rules | Download |
| 81 | Numerical Integration Examples | Download |
| 82 | Bonus: Integration using MS-Excel | Download |
| 83 | Summary of "Newton Cotes" Formulae | Download |
| 84 | Richardson's Extrapolation | Download |
| 85 | Gauss Quadrature | Download |
| 86 | Summary of Numerical Integration | Download |
| 87 | Introduction to ODE-IVP | Download |
| 88 | Motivation using an Example (Bonus) | Download |
| 89 | Euler's Methods and Second-Order Methods | Download |
| 90 | Second-Order Runge-Kutta Methods | Download |
| 91 | Summary of RK-2 | Download |
| 92 | Higher order RK Methods | Download |
| 93 | Bonus: ODE-IVP using MS-Excel | Download |
| 94 | Bonus: RK-2 and RK-4 Methods using MS-Excel | Download |
| 95 | Summary and Recap | Download |
| 96 | Introduction to Predictor-Corrector Methods | Download |
| 97 | Stability of Implicit Methods: Overview | Download |
| 98 | Stability Analysis of Euler's Methods | Download |
| 99 | Extension to multiple variables | Download |
| 100 | Local vs. Global Truncation Errors | Download |
| 101 | Richardson's Extrapolation | Download |
| 102 | Stiff System of ODEs: Introduction | Download |
| 103 | Adaptive Step-sizing | Download |
| 104 | Adaptive step-sizing and Embedded Methods | Download |
| 105 | Bonus: Errors and Extrapolation using MS-Excel | Download |
| 106 | Summary and Recap (Weeks 10 and 11) | Download |
| 107 | Introduction to ODE-BVP | Download |
| 108 | Shooting Method: An Overview | Download |
| 109 | Finite Difference Method: An Overview | Download |
| 110 | Solution using Shooting Method | Download |
| 111 | Algorithm for Shooting Method | Download |
| 112 | Problems with Shooting Method | Download |
| 113 | Solving ODE-BVP using Finite Difference Method | Download |
| 114 | Microsoft Excel based Solution | Download |
| 115 | Recap of Week-12 (ODE-BVP) | Download |
| Sl.No | Chapter Name | English |
|---|---|---|
| 1 | Introduction - Computational Techniques | Download Verified |
| 2 | TAs Intro 01 - Numerical methods for Engineers | Download Verified |
| 3 | TAs Intro 02 - Numerical methods for Engineers | Download Verified |
| 4 | Overview of Learning Modules | Download Verified |
| 5 | Errors and Approximations | Download Verified |
| 6 | Course Plan | Download Verified |
| 7 | Truncation and Round-Off Errors | Download Verified |
| 8 | Tutorial: Excel | Download Verified |
| 9 | Binary Numbers: Introduction | Download Verified |
| 10 | Floating Point: Real numbers in decimal system | Download Verified |
| 11 | Floating Point in Binary system | Download Verified |
| 12 | Iterative Method | Download Verified |
| 13 | Direct Method | Download Verified |
| 14 | Sequential Method | Download Verified |
| 15 | Linear Algebra: Basics | Download Verified |
| 16 | Introduction to Linear Equations | Download Verified |
| 17 | Rank Condition for Solving Linear Equations | Download Verified |
| 18 | Motivating Gauss Elimination | Download Verified |
| 19 | Gauss Elimination | Download Verified |
| 20 | Tutorial Recap: Gauss Elimination | Download Verified |
| 21 | Back Substitution to find solution | Download Verified |
| 22 | Gauss Jordan and LU Decomposition | Download Verified |
| 23 | Partial Pivoting in Gauss Elimination | Download Verified |
| 24 | Analysis of Gauss Elimination | Download Verified |
| 25 | Tri-Diagonal Systems: Practical Relevance | Download Verified |
| 26 | Thomas Algorithm for Tri-Diagonal Systems | Download Verified |
| 27 | Gauss Siedel Method | Download Verified |
| 28 | Analysis of Gauss Siedel Method | Download Verified |
| 29 | Gauss Siedel vs. Jacobi Methods | Download Verified |
| 30 | Bonus: Example using MS Excel | Download Verified |
| 31 | Summary: Linear Equations | Download Verified |
| 32 | Introduction to Nonlinear Equations | Download Verified |
| 33 | Bisection Method | Download Verified |
| 34 | Analysis of Bisection Method | Download Verified |
| 35 | Bonus: Excel Solution for Bisection Method | Download Verified |
| 36 | Regula-Falsi Method | Download Verified |
| 37 | Bonus: Excel Solution for Regula-Falsi Method | Download Verified |
| 38 | Regula-Falsi vs. Secant Method | Download Verified |
| 39 | Bonus: Excel Solution for Secant Method | Download Verified |
| 40 | Some special cases | Download Verified |
| 41 | Fixed-Point Iteration | Download Verified |
| 42 | Newton-Raphson Method | Download Verified |
| 43 | Analysis of Fixed-Point Iteration | PDF unavailable |
| 44 | Analysis of Newton-Raphson | PDF unavailable |
| 45 | Problems with Newton-Raphson | PDF unavailable |
| 46 | Multi-Variable Fixed-Point Iteration | PDF unavailable |
| 47 | Multi-Variable Newton-Raphson | PDF unavailable |
| 48 | Out of Syllabus: Improvements to NR Methods | PDF unavailable |
| 49 | Out of Syllabus: Roots of a polynomial | PDF unavailable |
| 50 | Summary | PDF unavailable |
| 51 | Introduction: Regression and Interpolation | PDF unavailable |
| 52 | Linear Regression in One Variable | PDF unavailable |
| 53 | Recap: Formula for Linear Regression | PDF unavailable |
| 54 | Bonus: Linear Regression using MS-Excel | PDF unavailable |
| 55 | Linear Regression in Multiple Variables | PDF unavailable |
| 56 | Matrix Method for Multi-Linear Regression | PDF unavailable |
| 57 | Polynomial Regression | PDF unavailable |
| 58 | Functional Regression | PDF unavailable |
| 59 | Bonus: X-Y versus Y-X data (Using MS Excel) | PDF unavailable |
| 60 | Interpolation: Introduction & A Naïve Extension | PDF unavailable |
| 61 | Bonus: MS-Excel for Naïve Interpolation | PDF unavailable |
| 62 | Lagrange Interpolating Polynomials | PDF unavailable |
| 63 | Newton's Forward Difference Polynomial | PDF unavailable |
| 64 | Newton's Divided Differences: Derivation | PDF unavailable |
| 65 | Interpolation Examples | PDF unavailable |
| 66 | Bonus: MS-Excel for Newton's Polynomial | PDF unavailable |
| 67 | Summary: Regression and Interpolation | PDF unavailable |
| 68 | Numerical Differentiation: Introduction | PDF unavailable |
| 69 | Numerical Differentiation Formula and Analysis | PDF unavailable |
| 70 | Derivation using "Method of undetermined coefficients" | PDF unavailable |
| 71 | Three-point differentiation formulae | PDF unavailable |
| 72 | Bonus: Differentiation using MS-Excel | PDF unavailable |
| 73 | Truncation vs. Round-Off Errors | PDF unavailable |
| 74 | Numerical Differentiation Examples | PDF unavailable |
| 75 | Summary of Numerical Differentiation | PDF unavailable |
| 76 | Numerical Integration: Introduction | PDF unavailable |
| 77 | Trapezoidal rule and Derivation | PDF unavailable |
| 78 | Simpson's Rules for Integration | PDF unavailable |
| 79 | Bonus: MS-Excel for Numerical Integration | PDF unavailable |
| 80 | Error Analysis for Simpson's Rules | PDF unavailable |
| 81 | Numerical Integration Examples | PDF unavailable |
| 82 | Bonus: Integration using MS-Excel | PDF unavailable |
| 83 | Summary of "Newton Cotes" Formulae | PDF unavailable |
| 84 | Richardson's Extrapolation | PDF unavailable |
| 85 | Gauss Quadrature | PDF unavailable |
| 86 | Summary of Numerical Integration | PDF unavailable |
| 87 | Introduction to ODE-IVP | PDF unavailable |
| 88 | Motivation using an Example (Bonus) | PDF unavailable |
| 89 | Euler's Methods and Second-Order Methods | PDF unavailable |
| 90 | Second-Order Runge-Kutta Methods | PDF unavailable |
| 91 | Summary of RK-2 | PDF unavailable |
| 92 | Higher order RK Methods | PDF unavailable |
| 93 | Bonus: ODE-IVP using MS-Excel | PDF unavailable |
| 94 | Bonus: RK-2 and RK-4 Methods using MS-Excel | PDF unavailable |
| 95 | Summary and Recap | PDF unavailable |
| 96 | Introduction to Predictor-Corrector Methods | PDF unavailable |
| 97 | Stability of Implicit Methods: Overview | PDF unavailable |
| 98 | Stability Analysis of Euler's Methods | PDF unavailable |
| 99 | Extension to multiple variables | PDF unavailable |
| 100 | Local vs. Global Truncation Errors | PDF unavailable |
| 101 | Richardson's Extrapolation | PDF unavailable |
| 102 | Stiff System of ODEs: Introduction | PDF unavailable |
| 103 | Adaptive Step-sizing | PDF unavailable |
| 104 | Adaptive step-sizing and Embedded Methods | PDF unavailable |
| 105 | Bonus: Errors and Extrapolation using MS-Excel | PDF unavailable |
| 106 | Summary and Recap (Weeks 10 and 11) | PDF unavailable |
| 107 | Introduction to ODE-BVP | PDF unavailable |
| 108 | Shooting Method: An Overview | PDF unavailable |
| 109 | Finite Difference Method: An Overview | PDF unavailable |
| 110 | Solution using Shooting Method | PDF unavailable |
| 111 | Algorithm for Shooting Method | PDF unavailable |
| 112 | Problems with Shooting Method | PDF unavailable |
| 113 | Solving ODE-BVP using Finite Difference Method | PDF unavailable |
| 114 | Microsoft Excel based Solution | PDF unavailable |
| 115 | Recap of Week-12 (ODE-BVP) | PDF unavailable |
| Sl.No | Language | Book link |
|---|---|---|
| 1 | English | Not Available |
| 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 |