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

kenneth@math.chalmers.se

www.math.chalmers.se/~kenneth

Matematiskt Centrum, Villa Aseco, Eklandagatan 80.

**Studio:**

Axel Målqvist

tel: 772 5400

axel@math.chalmers.se

www.math.chalmers.se/~axel

Matematiskt Centrum, Villa Aseco, Eklandagatan 80.

Jan Södesten

tel: 772 1015

soderst@math.chalmers.se

www.math.chalmers.se/~soderst

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, broman@math.chalmers.se

Bt34: David Heintz, kb00heda@chestud.chalmers.se

Bt56: Fredrik Bengzon

**Literature:**

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.

**Examination:**

Grades 5 (good), 4 (fair), 3 (acceptable), U (failed), based on written exam 021023 f/M (förmiddag i Maskinhuset) and project work.

See

and for solutions

A "student made"

**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.

**Links:**

Answers to AMB&S problems.
A Math dictionary. Math notation (T. Gebäck)

/Kenneth

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