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Tema 2.b.

            Matematica
             Primitive
                     Angelescu Lidia
Primitive
   Scurt istoric
   Introducerea noțiunii de integrală. Integrala
    nedefinită a unei funcții continue.
    Proprietăți.
   Exerciții
   Test de evaluare
   Exerciții pentru temă
   Bibliografie



                        7/13/2012                   2
SCURT ISTORIC




   7/13/2012    3
Fondatorii calcului diferențial și integral au fost: G. W.
Leibniz (1646 – 1716 ) în Germania, Isac Newton ( 1642
– 1727 ) în Anglia și Blaise Pascal ( 1623 – 1662 ) în
Franța. Școala românească de matematică a dezvoltat cu
succes unele aspecte din domeniul ecuațiilor diferențiale
și a aplicațiilor acestora prin lucrări valoroase ale unor
matematicieni precum: A. Davidoglu, V. M. Popov, N.
Ciorănescu, M. Niculescu, Gr. Moisil, N. Teodorescu, A.
Halanay .




                            7/13/2012                        4
INTRODUCEREA NOțIUNII
DE INTEGRALĂ.
INTEGRALA NEDEFINITĂ A
UNEI FUNCȚII CONTINUE.
PROPRIETĂȚI.



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EXERCIȚII




 7/13/2012   10
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TEST DE EVALUARE




     7/13/2012     12
7/13/2012   13
EXERCIȚII PENTRU TEMĂ




       7/13/2012        14
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Link-uri către site-uri legate de
      noțiunile învățate
   http://ro.wikipedia.org/wiki/Primitiv%C4%
    83
   http://experior.ro/
   http://www.viitoriolimpici.ro/
   http://www.referat.ro/referate/matematica
    /
   http://ro.wikipedia.org/wiki/Isaac_Newton
   http://www.gap-
    system.org/~history/Biographies/Leibniz.
    html
                      7/13/2012             18
Bibliografie
•http://www.google.ro/search?tbm=isch&hl=ro&source=hp&biw=1920&bih=987
&q=mathematic&gbv=2&oq=mathematic&aq=f&aqi=g3g-S4g-sS1g-
S2&aql=&gs_sm=e&gs_upl=3023l7559l0l15808l10l8l0l3l3l0l168l585l3.2l5l0
•M.Burtea, G. Burtea - Matematică - Manual pentru clasa a XII-a (M1), Editura
Carminis, Pitesti, 2001;
•Mircea Ganga - Matematică - Manual pentru clasa a XII-a (M1), Editura
Mathpress, 2002;
•Marcela V. Mihai – Recapitulare 1;
•A. Schneider – Culegere de probleme nr.9, Editura Hyperion, Craiova 2002;
•A. Vernescu, Marcela V. Mihai- Culegere de probleme pentru clasele IX-XII, Editura
Panteon, 2008;
•Nicu Boboc, Ion Colojoară, Matematică, Manual pentru clasa a XII-a, Elemente de
analiză matematică, Editura didactică și pedagogică, București, 1996
•Gheorghe Cenușă, Veronica Burlacu, Constantin Raischi, Iulian Mircea,
Ovidiu Vegheș, Mihaela Covrig, Teste grilă pentru bac și admiterea la ASE
București, Editura Plus, 2004;
• Dumitru Săvulescu, Mirela Moldoveanu, Oana Udrea, Matematică M2, Manual
pentru clasa a XII-a, Grup editorial ART




                                        7/13/2012                                     19
Concepte esențiale
 Funcție continuă;
 Funcție derivabilă;
 Funcție care admite primitive;
 Proprietățile primitivelor.




                   7/13/2012       20

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