Numerical Analysis - FMNF05 

Programs C & D   -  Spring term, 2019

Teacher

 Dr. Alexandros Sopasakis

            tel.

046 222-4440

Office  MH 562B    

Office hours

 Mondays 9:00-10:30 at MH 562B or by appointment

            email:

sopasak@maths.lth.se

Lectures at Gårdingsalen                              Exercises at E:3336


Course Evaluation/Feedback  (active periodically-teacher will let you know)
 

Tentative Daily Schedule. Check TimeEdit for updated times/dates.
Week Monday
15-17
Tuesday
13-15
Thursday
15-17
Friday
13-15
Weekly
Homework
4

21/1

Ch. 1.1, 1.2
Root finding methods: Bisection, Fixed point

22/1

Ch. 1.4, 1.5
Root finding methods: Secant, Newton's

24/1

Ch. 2.1, 2.2
Solving systems of equations: Gaussian, LU factorization

25/1

Ch. 2.3
Condition number, Swamping & Help 
for Assignment 1

Assignment 1

5

28/1

Ch. 2.5
Solving systems of equations: iterative techniques

29/1

Ch. 3.1, 3.2, 3.3
Interpolation:
Lagrange &Chebyshev polynomials

31/1

Ch. 3.4
Interpolation:
cubic splines

1/2

Exercise Session
for Assignment 2

Assignment 2

6

 

4/2

Ch. 3.5 
Computer graphics:
Bezier curves

 

5/2

Ch. 3.2
Interpolation: Vandermonte

 

7/2

Ch. 4.1
Linear 
Least Squares 

 

8/2
Ch. 4.3
QR & Gram-Schmidt Orthogonalization

Exercise Session
for Assignment 3

Assignment 3
7 11/2
Ch. 12.1, 12.2
Power Method & Eigenvalues/vectors
12/2
Ch. 4.4
Nonlinear Least Squares, Deflation
14/2
Ch. 10.1, 10.2
DFT Intro

15/2

Exercise Session for Assignment 4

Assignment 4
8

18/2
Ch. 10.2, 10.3
DFT

19/2
Ch. 10.3
FFT
 

21/2
Ch. 5.2
Trigonometric Interpolation

22/2

Exercise Session
for Assignment 5

Assignment 5

9
Exam sign up 

25/2
Ch. 5.2
Numerical Integration,
Newton-Cotes Formulas

26/2
Ch. 5.5
Composite N-C and Gaussian Quadr.
28/2
Ch. 5.5

Gaussian Quadrature
 

1/3

Exercise Session 
for Assignment 6


Assignment 6

10
Exam sign up

4/3
Ch. 6.1 & 6.2 
ODEs,
Euler Method

5/3
Ch. 6.2 & 6.6
ODE Theory: Stability

7/3
More about ODEs
Video Link Announced & 
Exam Format Presentation

8/3

Exercise Session 
for Assignment 7

Assignment 7
11
 
11/3
Course Summary
Note: provided via online videos (link announced previously in class)


 

     
Examination/Tentamen
Week 12

Thursday March 21, 2019
8:00-12:00
Location: MA:10A, MA:10B, MA:10C, MA:10D

Old Exams: May. 2017, Aug. 2017.

Note: All materials provided in these web pages is the property of the author (Dr. Alexandros Sopasakis).
As such any reproduction or any other use must by accompanied by an expressed written consent by the author.