Learning resources

Computer generated exercises - Gauss algorithm (systems oflinear equations)

ungerl — Fri, 04 Sep 2009 20:02:38 +0300

MuPAD based applet for Linear Algebra (Gauss algorithm, systems of linear equations).

Error-correcting codes

SebastianXambo — Fri, 31 Jul 2009 03:14:28 +0300

The course contains the materials delivered at the "Teoria de Codis" class of the Fall semestrer of 2008-2009 at the "Facultat de Matemàtiques i Estadística" of the "Universitat Politècnica de Catalunya".

Outline:

Informal presentation: the digital era
Introduction to block error-correcting codes
Linear codes
Finite fields
Cyclic codes and the The Meggitt decoder
Alternant codes (includes two decoding algorithms)
Hadamard codes

Stokes theorem for mathematicians, physicists and engineers

SebastianXambo — Fri, 31 Jul 2009 02:56:42 +0300

This resource consists of a set of pdf files in English with the following index:

Notations and conventions
Integral calculus
Maxwell's equations
Mathematical underpinnings

Diagnostic Test for Freshmen Mathematics Students (2n version)

SebastianXambo — Thu, 05 Feb 2009 19:57:24 +0200

The test is a set of Maple TA (version 2.5.1) questions, grouped in four levels, that cover the mathematical curriculum of secondary schools in Catalonia.

In this version a physics bank has been included, covering the secondary education physics curricula, which can be added to the mathematics questions for diagnosing freshmen in engineering.

Level 1 has 9 questions about basic general knowledge (such as the Pithagoras theorem).
Level 2 has 21 questions whose answer is a quick computation.
Level 3 has 20 questions of medium difficulty and of a more theoretical nature.

Introduction to MathML-in-DAISY in 10 Small Chapters

Zacherle — Fri, 24 Oct 2008 17:05:49 +0300

The document is a short Introduction of MathML and its use within DAISY books. It is meant to be a starter with further references and aims to address primarily teachers, students, publishers and software and service developers. Given the subject, it is of somewhat technical nature, but should be understandable by the general audience.

The document is available as DAISY book (as a XML file without audio content).

Meetkunde (Geometry)

cuypers — Sat, 04 Oct 2008 20:32:02 +0300

A set of lecture notes for a course on Geometry for high school teachers.
The notes, written in Dutch, cover various topics in classical
geometry, which are related to the geometry that is tought at dutch high schools.

The notes contain many interactive pictures (Geogebra applets).

Java Laboratory for differential curves

Antonio — Wed, 24 Sep 2008 19:26:55 +0300

This laboratory is designed to experiment and visualize the elemental concepts of differential geometry of curves in the plane or the space.
It is possible to use it in:
http://www.mat.uned.es/GeoCM/2PP/lab_curvas/_apps/matematica3d_20.app/ma...
(please be patient, some times our server is slow)
With this laboratory it possible to visualize the Frenet frame, osculatrix circle, evolute, osculatrix plane, ... and to compute curvature, torsion, arc length, ... of differential curves and to see nice animations.

Wortel TU/e , Math Learning Environment

cuypers — Sat, 06 Sep 2008 16:25:05 +0300

Wortel TU/e is the Math Learnig Environment for the Eindhoven University of Technology.

It contains many highly interactive theory pages and automatically graded exercises on topics ranging
from basic arithmetic to calculus, linear algebra and abstract algebra at university level.

Wortel TU/e is a moodle LMS in which the MathDox Exercise System is incorporated.

You can register for free.

Wortel TU/e lecture notes on basic math for university students

cuypers — Sat, 06 Sep 2008 16:16:28 +0300

We present a set of lecture notes covering the basic mathematics that students at the Eindhoven University of Technology have to know.

These lecture notes are available in pdf form for printing, and as webpages (XML, html) containing various applets for interaction.

This is work in progress!

Specialized Calculators - Modular Arithmetic

ungerl — Tue, 29 Jul 2008 17:30:47 +0300

MuPAD based applets for modular arithmetic used in courses for Linear Algebra, Cryptography and Elementary Number Theory.