| No | Date | Topics/Presentations |
| 1 | January 18, 2021 | Introduction: What? Why? How? |
| 2 | January 21, 2021 | Asymptotic Notations |
| 3 | January 23, 2021 | Master Theorem, Numerical Errors and Order of Convergence |
| 4 | January 28, 2021 | Nonlinear Equations: Bracketing Methods |
| 5 | February 1, 2021 | Nonlinear Equations: Open Methods-1 |
| 6 | February 4, 2021 | Nonlinear Equations: Open Methods-2 |
| 6a | February 8, 2021 | Nonlinear Equations: Polynomial Roots |
| 6b | February 8, 2021 | System of Nonlinear Equations |
| 7 | February 8, 2021 | Numerical Linear Algebra: LU Decomposition |
| 7a | February 8, 2021 | Numerical Linear Algebra: Theorems on LU Decomposition |
| 8 | February 11, 2021 | Numerical Linear Algebra: Gaussian Elimination |
| 9 | February 15, 2021 | Numerical Linear Algebra: Iterative Methods-1 |
| 10 | February 18, 2021 | Numerical Linear Algebra: Iterative Methods-2 |
| 10a | February 18, 2021 | Numerical Linear Algebra: Iterative Methods-Theorems and Proof |
| 11 | February 22, 2021 | Numerical Linear Algebra: Iterative Methods-Krylov Subspace |
| 12 | February 25, 2021 | Numerical Linear Algebra: QR and SVD |
| 13 | March 1, 2021 | Numerical Linear Algebra: Eigenvalues |
| 14 | March 4 , 2021 | Numerical Interpolations: Polynomial - Divided Differences |
| 15 | March 8, 2021 | Numerical Interpolations: Polynomial - Lagrange |
| 16 | March 18, 2021 | Numerical Interpolations: Hermite |
| 17 | March 22, 2021 | Numerical Interpolations: Spline |
| 18 | March 25, 2021 | Numerical Integration: Newton-Cotes-1 |
| 19 | March 29, 2021 | Numerical Integration: Newton-Cotes-2 |
| 20 | April 1, 2021 | Numerical Integration: Simpsons |
| 21 | April 5, 2021 | Numerical Integration: Quadrature-1 |
| 22 | April 8, 2021 | Numerical Integration: Quadrature-2 |
| 23 | April 12, 2021 | Numerical Differentiation: RK Methods |
| 24 | April 15, 2021 | Numerical Differentiation: Multistep Methods-1 |
| 25 | April 19, 2021 | Numerical Differentiation: Multistep Methods-2 |
| 26 | April 22, 2021 | Numerical Differentiation: Shooting Methods |
| 27 | April 28, 2021 | Numerical Differentiation: Finite Difference Methods |
| 28 | May 3, 2021 | Numerical Differentiation: Convergence |
| 29 | May 6, 2021 | Advanced Topics Discussions |
| No | Date | Exercises |
| 1 | January 22, 2021 | Python and C++: Recap, Running Time |
| 2 | January 29, 2021 | Nonlinear Equations: Bracketing Methods |
| 3 | February 5, 2021 | Nonlinear Equations: Open Methods |
| 4 | February 12, 2021 | Numerical Linear Algebra: Gaussian and Decomposition |
| 5 | February 19, 2021 | Numerical Linear Algebra: Iterative Methods |
| 6 | February 26, 2021 | Numerical Linear Algebra: Eigen Value Problems |
| 7 | March 5, 2021 | Numerical Linear Algebra: SVD, QR Decomposition |
| 8 | March 19, 2021 | Numerical Interpolations: Divided Differences, Lagrange |
| 9 | March 26, 2021 | Numerical Interpolations: Splines |
| 10 | April 8, 2021 | Numerical Integrations |
| 11 | April 9, 2021 | Numerical Integrations |
| 12 | April 16, 2021 | Numerical Differentiation |
| 13 | April 23, 2021 | Numerical Differentiation |
| 14 | April 30, 2021 | Exam |
| No | Assignments | Issue Date | Due Date |
| 1 | Assignment-1 | January 23, 2021 | February 15, 2021 |