Analysis & Linear algebra K+Kf+Bt, part a, fall 2002,

home, week 1, week 2, week 3, week 4, week 5, week 6, week 7

TMV035, 5.0 points - course info

All info and material (except literature) for the course can be found from this web page with links.

Lectures and examination:
Kenneth Eriksson
tel: 772 3515, 0520-72977 (home), 0703-958488
Matematiskt Centrum, Villa Aseco, Eklandagatan 80.

Axel Målqvist
tel: 772 5400
Matematiskt Centrum, Villa Aseco, Eklandagatan 80.
Jan Södesten
tel: 772 1015
Matematiskt Centrum, room 2252, Eklandagatan 86.

Group mentors:
K12: Axel Målqvist
K34: Georgios Foufas
K56: Fredrik Bengzon
Kf123: Tobias Gebäck
Bt12: Erik Broman, tel 7725323,
Bt34: David Heintz,
Bt56: Fredrik Bengzon

When to be where!

Applied Mathematics: Body & Soul (AMB&S) by Eriksson/Estep/Johnson, distributed in class.
Användarhandledning till Matlab 6 (AhM6) by Pärt-Enander/Sjöberg, Uppsala University 1998, sold at Cremona.
Lectures part 1 (eq solving) postscript  pdf
Some extras
Lectures part 2 (lin alg intro) postscript  pdf
Special lecture (partInBox & Lambert-B) postscript  pdf
Lectures part 3 (linearization & derivative) postscript  pdf
Lectures part 4 (more on linear algebra) postscript  pdf

Software: MATLAB by MathWorks. Available on (most) Chalmers computer systems. Private licence can be bought at Cremona (400:- ?). The matlab program can also be borrowed through Chalmers library.
Mathematics Laboratory (ML), demos & virtual math laboratorys covering most of the AMB&S program, matlab code examples and shells.

Project f(x)=0
Project groups of 3-4 work on mathematical modeling, typically resulting in (analytically unsolvable) equations, implement solvers for such (general algebraic) equations, apply these to the derived model equations, and present their work in oral and written form.

Grades 5 (good), 4 (fair), 3 (acceptable), U (failed), based on written exam 021023 f/M (förmiddag i Maskinhuset) and project work.
exam 99 exam 00 exam 01 exam 01x
and for solutions
answers to exam 99 answers to exam 00 answers to exam 01 answers to exam 01x
A "student made" exam with answers

exam 02
answers to exam 02

Brief plan:

v 1
F1: Equation solving, existence, uniqueness, inverse, examples
S1: Matlab functions, code documentation
F2: Bisection, sequence, convergence, real numbers (AMB&S ch 14, 13, 12)
S2: Linear and polynomial functions. Possibly work on Intro projects.
G2: Work on Intro projects.
v 2
F1: The intermediate value theorem (ch 15, 16)
S1: Bisection lab, bisection implementation
G1: Presentation of Intro projects.
F2: Fixed point iteration, convergence by Lipschitz continuity (ch 13, 12)
S2: Bisection cont./decasection?
F3: Converged x solution? (ch 15, 16, 17)
S3: Fixed point iteration lab/implementation
G2: Problems related to equation solving.

Answers to AMB&S problemsA Math dictionaryMath notation (T. Gebäck)


Last modified: Fri Dec 20 21:47:15 MET 2002