Numerical Analysis 1
Fall 2025
Lecture board photos and screenshots
Day 01, Aug 26: Outline, photos and screenshots. What is numerical analysis? What is this course about? Machine numbers.
Day 02, Aug 28. More detail about floating-point machine numbers, and starting to think about machine arithmetic.
Day 03, Sep 2. Relative error in floating point arithmetics, and some remedies.
Day 04, Sep 4. Roundoff error bound. Root-finding 1D: bisection, functional iteration.
Day 05, Sep 9. Conditions for convergence of functional iteration to a fixed point, convergence with order q.
Day 06, Sep 11. Newton failure. Secant method. Stopping criteria. Linear systems.