MATHEMATICAL ACTIVITIES IN CAEN, FRANCE

Université de Caen Basse-Normandie
Unité de Formation et de Recherche (UFR)
Département de Mathématiques et Mécanique

March 5 - 18, 2016

Updated March 17, 2016
For mathematics related subject students
Tutored by Martti E. Pesonen (Joensuu, Finland, Erasmus teacher exchange)
University of Eastern Finland, Department of Physics and Mathematics
and the helpful local teachers
Link to exercises in 2015, 2014, 2013 (disturbed by the great snowstorm), 2012, 2011, 2010, 2009, 2007, 2006, 2005, 2004, 2003, 2002

Test your system for Javasketchpad  applets (configure Java if needed)

(Linear) Algebra and Analysis for 1st year, 2nd semester

Linear algebra
Monday 7 March  9:30-11:30 computer lab S1 122 gr4 L1 info with J. Guashi
Monday 7 March 15:30-17:30 computer lab S1 128 gr1 L1 info with T. Sassi
Tuesday 8 March 14:00-16:00 computer lab S3 415 gr3 L1 info with F. Lambert
Thursday 10 March 13:30-15:30 computer lab S3 160 gr1 with P. Casevitz
Friday 11 March 10:00-12:00 computer lab S3 415/416 gr2 L1 info with P. Karamian
Wednesday 16 March 8:15-10:15 computer lab S3 415 gr2 with M. Louaked
1) Linear Space and Basis in R2 (www-form - approximately 75 min)
1. Span of a vector set = espace engendré par un ensemble des vecteurs 
2. Linear independence (libre) 
3. Basis 
4. Towards change of basis 

2) Linear Functions (www-form - approximately 20 min)
 Only part I: Projections, reflections, dilations 
 (exclude II Matrix representations, determinants ... )
Analysis
Monday 14 March 13:00-15:00 computer lab S3 415 gr2 with Tuan Ngo Dac
Thursday 17 March 13:30-15:30 computer lab S3 160 gr1
Approximating the Sinus function by polynomials (30 min, new version)
Function Demo (60 min, save 15 minutes to the last chapter on vector-valued functions)
If time left, or later, or voluntarily:
3) Lines in the plane - Gauss elimination visualized (www-form - 25 min)
A series of 3 dynamic figures with questions 		 Zeros of parabola (10 min)
Trigonometric Functions
Hyperbolic Functions