Numerical Analysis: UMA 011

All official communication regarding the course policies and news will happen through the university LMS. Here, I will post course notes (slides) and video recording of zoom sessions only. 

Course Notes (slides) & zoom recordings                  
                                                                 
1) Numerical approximation, error analysis, stability of algorithms
Lecture set 1.1: (pdf, video)
Lecture set 1.2: (pdf, video)
Lecture set 1.3: (pdf, video)

2) Root finding algorithms
Lecture set 2.1: (pdf, video); compendium to set 2.1 (applications of root finding algorithms); set 2.1.1 (pdf)
Lecture set 2.2: (pdf, video)
Lecture set 2.3: (pdf, video)
Lecture set 2.4: (pdf, video)
Lecture set 2.5: (pdf, video)
Problem set 2.5.1: (pdf, solns: pg1, pg2)
Lecture set 2.6: (pdf, video)
Lecture set 2.7: (pdf, video)
Lecture set 2.8  (pdf)

3) Numerical solutions to systems of linear equations
3.1) Direct numerical methods
Lecture set 3.1.1: (pdf, video)
Lecture set 3.1.2: (pdf, video)
Lecture set 3.1.3: (video)
Lecture set 3.1.4: (pdf, video)
Lecture set 3.1.5: (pdf, video)
Lecture set 3.1.6: (pdf, video)
3.2) Matrix iterative schemes
Lecture set 3.2.1: (pdf, video)
Lecture set 3.2.2: (pdf, video)
Lecture set 3.2.3: (pdf, video)
Lecture set 3.2.4: (pdf, video)
Lecture set 3.2.5: (pdf, video)
Lecture set 3.2.6: (pdf, video)

4) Numerical interpolation of functions
Lecture set 4.1: (pdf, video)
Lecture set 4.2: (pdf, video)
Lecture set 4.3: (pdf, video)
 
5) Numerical integration of functions
Lecture set 5.1: (pdf, video)
Lecture set 5.2: (pdf, video)
Lecture set 5.3: (pdf, video)
 
6) Numerical solutions to ODEs
Lecture set 6.1: (pdf, video)

Lecture set 6.2: (pdf, video)

Numerical Laboratory

Matlab tutorial (pdf)