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Marks distribution:
| 30 % | Internal Evaluation | Consists of 4 programming quizzes |
| 30 % | Mid-term exam | Theory paper |
| 40 % | End-term exam | Theory paper |
| Date | References | |
|---|---|---|
| Lecture 01 | 1st Aug 2025 | Introduction (Ch 1 till Theorem 4); Video |
| Lecture 02 | 6th Aug 2025 | Bisection Method (Ch 3.1) |
| Lecture 03 | 7th Aug 2025 | Newton-Raphson Method (Ch 3.2 before `Implicit Functions') |
| Lecture 04 | 8th Aug 2025 | Order of Convergence (Ch 1.2) |
| Lecture 05 | 13th Aug 2025 | quiz0 |
| Lecture 06 | 14th Aug 2025 | Secant Method (Ch 3.3) |
| Lecture 07 | 21st Aug 2025 | LU Decomposition (Ch 4.2), Video |
| Quiz 1 | 22nd Aug 2025 | quiz1, input-q1p1, input-q1p2, input-q1p3 |
| Lecture 08 | 26th Aug 2025 | Cholesky Decomposition (Ch 4.2) |
| Lecture 09 | 6th Sept 2025 | Gaussian Elimination (Ch 4.3 till Theorem 04), Video |
| Lecture 10 | 6th Sept 2025 | Norms and Error Analysis (Ch 4.4) |
| Lecture 11 | 10th Sept 2025 | Neumann Series and Iterative Refinement (Ch 4.5 before 'Equilibration') |
| Lecture 12 | 11th Sept 2025 | Iterative Methods (Ch 4.6 till Corr 1 excluding Thm 3,4), Video |
| Quiz 2 | 12th Sept 2025 | quiz2, input-q2p1, input-q2p2, input-q2p3-A, input-q2p3-b, input-q2p3-x0 |
| Lecture 13 | 13th Sept 2025 | Steepest Descent Method (Ch 4.7 before Conjugate Directions) |
| Lecture 14 | 13th Sept 2025 | Conugate Method (Ch 4.7 until Theorem 2) |
| Lecture 15 | 17th Sept 2025 | Notes |
| Lecture 16 | 18th Sept 2025 | Notes |
| Lecture 17 | 19th Sept 2025 | Notes |
| Mid-Term Exam | 8th Oct 2025 | Question Paper |
| Lecture 18 | 8th Oct 2025 | Power Method (Ch 5.1) |
| Lecture 19 | 9th Oct 2025 | Orthogonal Factorization (Ch 5.3, Theorem 1, 2 and Lemma 1), Video |
| Lecture 20 | 8th Oct 2025 | Schur's Theorem (Ch 5.2 till Lemma 2) |
| Lecture 21 | 15th Oct 2025 | SVD, Video |
| Lecture 22 | 16th Oct 2025 | SVD and Pseudoinverse (Ch 5.4 till Theorem 2) |
| Quiz 3 | 17th Oct 2025 | quiz3, input-q3p1, input-q3p2, input-q3p3-A, input-q3p3-b |
| Lecture 23 | 29th Oct 2025 | Polynomial Interpolation (Ch 6.1 till Theorem 2) |
| Lecture 24 | 30th Oct 2025 | Divided Difference (Ch 6.2 till Theorem 4) |
| Lecture 25 | 31st Oct 2025 | Spline Interpolation (Ch 6.4 until Theorem 1) |
| Lecture 26 | 1st Nov 2025 | Chebyshev Polynomials and Lagrange Form (Ch 6.1) |
| Lecture 27 | 5th Nov 2025 | Runge-Kutta Method Notes |
| Lecture 28 | 5th Nov 2025 | Introduction to multi-step methods (Adams-Bashforth) Notes |
| Lecture 29 | 6th Nov 2025 | Numerical Differentiation (Ch 7.1) |
| Lecture 30 | 7th Nov 2025 | Numerical Integration (Ch 7.2) |
| Lecture 31 | 12th Nov 2025 | Numerical Integration: Error Analysis (Ch 7.2) |
| Lecture 32 | 13th Nov 2025 | Simpson's Rule, Method of Undertermined Coefficients (Ch 7.2) |
| Quiz 4 | 14th Nov 2025 | quiz4, input-q4p2, input-q4p3 |
| End Term Exam | 25th Nov 2025 |
| Nr. | Book | Authors |
|---|---|---|
| [1] | Numerical Analysis: Mathematics of Scientific Computing | David Kincaid and Ward Cheney |