Table of contents

• Marks distribution
• Class notes
• Projects
• Reference and extra reading

Marks distribution

• Midsem: No midsem (thanks to COVID)
• Sem: 50
• Projects: $10\times4$
• Assignments: 10

Class notes

• Introduction to numerical analysis
• Differential equations (part 1)
• Nonlinear equations (part 1)
• Matrix algorithms (part 1)
• Integration (part 1)
• Interpolation (part 1)

• Nonlinear equations (part 2)
• Matrix algorithms (part 2)
• Differential equations (part 2)
• Integration (part 2)
• Interpolation (part 2)
• Error analysis

Projects

1. Elastic pendulum simulation [Details]
2. Gravity well simulation (Taylor) [Details]
3. Estimation in bio-statistics [Details]
4. Fitting a distribution [Details]
5. Gauss-Jordan elimination [Details]
6. Least squares solution using $QR$ decomposition [Details]
7. Path independence in divided difference table [Details]
8. Soap film simulation [Details]
9. $LU$ decomposition [Details]
10. Gravity well simulation (Runge-Kutta) [Details]

Reference and extra reading

• Numerical Analysis by Timothy Sauer
• http://www.ohiouniversityfaculty.com/youngt/IntNumMeth/
• An Introduction to Numerical Analysis by Atkinson
• Matrix Computations by Golub and van Loan
• Rounding errors in algebraic processes by J. H. Wilkinson

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