Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate
SUBJECT
| MMG0007 | Complements of Geometry |
| Teaching Staff in Charge |
Lect. VACARETU Daniel, Ph.D., vacaretu math.ubbcluj.ro |
| Aims |
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Some supplementary results suceining the elementary geometry are given. The main topics of the course are very useful for the students becoming tachers in Mathematics. |
| Content |
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I. An introduction in the triangle and circle geometry : concurencies and colinearities,
metric relations, Lemoine@s circles, Tucker@s circles,nine points circle, Titeica@s five lei coin problem, Simson line, Lalescu@s S-triangles, orthopol, Brocard@s points and Brocard@s angle II. Vectorial calculus in geomatry,dot product,cross product, triple scalar product III.Complex numbers in geometry. |
| References |
|
1. Andreescu, T.,Andrica, D., Complex numbers from A to ... Z, Birkhauser 2006
2. Andrica, D., Topan, L. Analytic Geometry, Cluj Unversity Press, 2004 3. D.ANDRICA- CS.VARGA,-D.VACARETU, Teme de geometrie, Promedia-Plus, Cluj-Napoca,1997. 4. D.ANDRICA- CS.VARGA-D.VACARETU, Teme si probleme alese de geometrie, Ed.Plus, Bucuresti,2002. 5. ANDRICA,D.-BISBOACA,N.,Numere complexe de la A la Z. Ed.Milenium.Alba Iulia,2001. 6. D.BRANZEI, COL., Planul si spatiul euclidian, Editura Academiei, Bucuresti, 1986. 7. LALESCU,T., Geometria triunghiului,Ed.Tineretului,1958. 8. MIHAILESCU,C., Geometria elementelor remarcabile,Ed.Tehnica,Bucuresti,1957. 9. NICOLESCU, L.-BOSKOFF, V., Probleme practice de geometrie, Editura Tehnica, Bucuresti, 1990 |
| Assessment |
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Two assessesment tests
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| Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |