Cezar Lupu

Home » Uncategorized » Math Competition preparation lessons for undergraduate students from Politehnica University of Bucharest, 2011-2012

Math Competition preparation lessons for undergraduate students from Politehnica University of Bucharest, 2011-2012

The preparation lessons for undergraduates students continue this academic year as a problem solving seminar in the same spirit as last year. This seminar is organized together with professors Radu Gologan and Mircea Olteanu and it is mainly devoted to undergraduate students in the first two years of their studies. All students from every faculty of Politehnica University of Bucharest are invited. The seminar will begin in October soon enough and it will continue until December. Probably, next year, the seminar will continue with someone else since I will leave to the US. The purpose is to prepare the students for undergraduate mathematics competitions like: SEEMOUS, Traian Lalescu national competiton and IMC. The following students are registered so far:

Padureanu Victor (2-nd year, gr. 323 CA, Fac. Computer Science and Engineering e-mail: victorunderlinepadureanu@yahoo.com)
Tuca Laurentiu (2-nd year, gr. 323 CA, Fac. Computer Science and Engineering e-mail: laurentzium@yahoo.com)
Sevastian Emma (2-nd year, gr. 321 CA, Fac. Computer Science and Engineering, e-mail: em_yfriend@yahoo.com)
Mincu Diana (2-nd year, gr. 321 CB, Fac. Computer Science and Engineering, e-mail: rock_annaid@yahoo.com)
Rublea Alina (2-nd year, gr. 322 CA, Fac. Computer Science and Engineering, e-mail: alinutza_blue_chick@yahoo.com)
Anastase Violeta (2-nd year, gr. 926, Fac. Aerospace Engenieering, e-mail: violetadeea@yahoo.com)
Stoican Andreea (1-st year, gr. 312 CB, Fac. Computer Science and Engineering, e-mail: stoican_and@yahoo.com)
Urziceanu Paul (1-st year, gr. 315 CB, Fac. Computer Science and Engineering, e-mail: paul.urziceanu@gmail.com)
Andrada Sofia (1-st year, gr. 315 CB, Fac. Computer Science and Engineering, e-mail: andrada.cg.sofia@gmail.com)
Constantin Alexandru (1-st year, gr. 313 CB, Fac. Computer Science and Engineering, e-mail: upb.alexander@gmail.com)
Nicula Bogdan (1-st year, gr. 315 CB, Fac. Computer Science and Engineering, e-mail: bobbyn1322upb@gmail.com)
Manoloiu Edmond (1-st year, gr. 312 CC, Fac. Computer Science and Engineering, e-mail: edi_manoloiu@yahoo.com)
Ionascu Cosmina (1-st year, gr. 315 CC, Fac. Computer Science and Engineering, e-mail: cosminaionascu@yahoo.com)
Pasare Alice (1-st year, gr. 315 CC, Fac. Computer Science and Engineering, e-mail: alice_lavinia2010@yahoo.com)
Cojocariu Adrian (1-st year, gr. 314 CB, Fac. Computer Science and Engineering, e-mail: adrian.cojocariu@ymail.com)
Ionescu Vlad (1-st year, gr. 314 CC, Fac. Computer Science and Engineering, e-mail: vladn.ionescu@gmail.com)
Lazar Andrei (1-st year, gr. 314 CC, Fac. Computer Science and Engineering, e-mail: malaki1992@yahoo.com)
Rusu-Condurachi Alexandra (1-st year, gr. 314 CB, Fac. Computer Science and Engineering, e-mail: alexutza_br07@yahoo.com)
Nadrag Roxana (1-st year, gr. 311 CB, Fac. Computer Science and Engineering, e-mail: roxana_nadrag@yahoo.com)
Olteanu Adrian (1-st year, gr. 315 CA, Fac. Computer Science and Engineering, e-mail: olteanu.adrian.alexandru@gmail.com)
Anton Flavius (1-st year, gr. 314 CB, Fac. Computer Science and Engineering, e-mail: fvanton@yahoo.com)
Radu Cristian (1-st year, gr. 311 CC, Fac. Computer Science and Engineering, e-mail: cristianradu18@gmail.com)
Orban Szabolcs (1-st year, gr. 311 CC, Fac. Computer Science and Engineering, e-mail: szabibibi@yahoo.com)
Pascu Florin (1-st year, gr. 312 CC, Fac. Computer Science and Engineering, e-mail: pascucorneliuflorin@yahoo.com)
Arhip Alin (1-st year, gr. 313 CA, Fac. Computer Science and Engineering, e-mail: alyn_92@yahoo.com)
Ciuca Cristian (1-st year, gr. 312 CC, Fac. Computer Science and Engineering, e-mail: blood_reaper_2007@yahoo.com)
Nedelcu Ana (1-st year, gr. 312 CC, Fac. Computer Science and Engineering, e-mail: annanedelcu@yahoo.com)
Tesila Bianca (1-st year, gr. 1212 E, Fac. Engineering in Foreign Languages, e-mail: chasin_starlights@yahoo.com)
Istrate Roxana (1-st year, gr. 313 CA, Fac. Computer Science and Engineering, e-mail: s0ul_surviv0r27@yahoo.com)
Preda Andrei (1-st year, gr. 313 CA, Fac. Computer Science and Engineering, e-mail: andreipreda07@gmail.com)
Dincu Andrei (1-st year, gr. 314 CB, Fac. Computer Science and Engineering, e-mail: dinq_fotbalis2@yahoo.com)
Bosinceanu Andrada (1-st year, gr. 315 CC, Fac. Computer Science and Engineering, e-mail: green.deed@yahoo.com)
Ciocan Andrei (1-st year, gr. 312 CC, Fac. Computer Science and Engineering, e-mail: andrei91_ciocan@yahoo.com)
Nitu Adrian (1-st year, gr. 313 CB, Fac. Computer Science and Engineering, e-mail: adrian.nitu.92@gmail.com)
Velea Cosmin (1-st year, gr. 313 CB, Fac. Computer Science and Engineering, e-mail: cvelea92@yahoo.com)
Buliga Alexandru (1-st year, gr. 314 CC, Fac. Computer Science and Engineering, e-mail: bugaa_92@yahoo.com)
Cojocea Marius (1-st year, gr. 311 CB, Fac. Computer Science and Engineering, e-mail: timeless_manji.clan@yahoo.com)
Brinza Cristina (1-st year, gr. 315 CC, Fac. Computer Science and Engineering, e-mail: godina39@yahoo.com)
Balaban Andreia (1-st year, gr. 311 CC, Fac. Computer Science and Engineering, e-mail: andreia.balaban@yahoo.com)
Ilie Mihai (1-st year, gr. 313 CA, Fac. Computer Science and Engineering, e-mail: ily_sin_mike@yahoo.com)
Dochita Mihai (1-st year, gr. 311 CC, Fac. Computer Science and Engineering, e-mail: mihaieu_dochita@yahoo.com)
Circiumaru Andreea (1-st year, gr. 312 CB, Fac. Computer Science and Engineering, e-mail: andreea_carciumaru@yahoo.com)
Nenu Anda (1-st year, gr. 315 CA, Fac. Computer Science and Engineering, e-mail: aannddaa_92@yahoo.com)
Stoian Sorina (1-st year, gr. 314 CB, Fac. Computer Science and Engineering, e-mail: ssn_sorina@yahoo.com)
Mirion Alina (1-st year, gr. 312 CC, Fac. Computer Science and Engineering, e-mail: sweetaliteomat16@yahoo.com)
Gheorghe Florin (1-st year, gr. 312 CA, Fac. Computer Science and Engineering, e-mail: florin.gheorghe92@yahoo.com)
Antonie Anca (1-st year, gr. 313 CA, Fac. Computer Science and Engineering, e-mail: ankaa_91@yahoo.com)
Grosu Cristina (1-st year, gr. 314 CB, Fac. Computer Science and Engineering, e-mail: mariacristina.grosu@gmail.com)
Nastase George (1-st year, gr. 414 B, Fac. Electronics and Telecommunications, e-mail: georgebogdan.nastase@gmail.com)
Popa Flavian (1-st year, gr. 314 CA, Fac. Fac. Computer Science and Engineering, e-mail: pnflavian@gmail.com)
Cirlan George (1-st year, gr. 315 CC, Fac. Computer Science and Engineering, e-mail: kev0r@yahoo.com)
Draghici Mihail (2-st year, gr. 324 CA, Fac. Computer Science and Engineering, e-mail: mi5hu_2006@yahoo.co.uk)
Cojocaru Alexandru (1-st year, gr. 312 CA, Fac. Computer Science and Engineering, e-mail: cojocaru.alex3010@yahoo.com)
Matei Adrian (1-st year, gr. 312 CA, Fac. Computer Science and Engineering, e-mail: amt13me@yahoo.com)
Tiganus Mihai (1-st year, gr. 314 CC, Fac. Computer Science and Engineering, e-mail: mtiganus@gmail.com)
Zlate Bogdan (1-st year, gr. 411 G, Fac. Electronics and Telecommunications, e-mail: zlatebogdan@gmail.com)
Beltic Stefan (1-st year, gr. 1313, Fac. Applied Sciences, e-mail: beltic.stefan@yahoo.com)
Halati Catalin (1-st year, gr. 1312, Fac. Applied Sciences, e-mail: hcm9_cata3@yahoo.com)
Palea Victor (1-st year, gr. 1312, Fac. Applied Sciences, e-mail: lordofarockalyps@yahoo.com)
Lohan Madalina (1-st year, gr. 315 CA, Fac. Computer Science and Engineering, e-mail: madalina.lohan@gmail.com)
Dunaev Mihail (1-st year, gr. 325 CA, Fac. Computer Science and Engineering, e-mail: dunaevmihail@yahoo.com)
Serban Mihalache (1-st year, gr. 414 A, Fac. Electronics and Telecommunications, e-mail: smihalache@gmail.com)
Cristina Toretoiu (2-nd year, gr. 422 B, Fac. Electronics and Telecommunications, e-mail: cristinatoretoiu@yahoo.com)

SCHEDULE (October 2011-January 2012):

20 October, 20-21 PM, (AN 030)- Cezar Lupu (University of Pittsburgh & Politehnica University of Bucharest): An introduction in mathematcs competition for university students
21 October, 16-20 PM, (AN 024)- Cezar Lupu (University of Pittsburgh & Politehnica University of Bucharest): Sequences and series of real numbers. Basic facts and some celebrated sequences and series
28 October, 16-20 PM, (AN 024)- Cezar Lupu (University of Pittsburgh & Politehnica University of Bucharest): Sequences ansd series of real numbers. Applications to competition problems I
4 November, 16-20 PM, (AN 024)- Cezar Lupu (University of Pittsburgh & Politehnica University of Bucharest): Sequences ansd series of real numbers. Applications to competition problems II
11 November, 16-20 PM, (AN 024)- Cezar Lupu (University of Pittsburgh & Politehnica University of Bucharest): Sequences and series of real functions. Basic facts and applications to competition problems
18 November, 16-20 PM, (AN 024)- Roxana Popescu (University of Bucharest): Power series. How to determine the sum of series of real numbers
25 November, 16-20 PM, (AN 024)- Cezar Lupu (University of Pittsburgh & Politehnica University of Bucharest): Fourier series and applications to competition problems
2 December, 16-18 PM, (AN 032)- Flavian Georgescu (University of Bucharest): Actions on groups and Sylow theorems
9 December, 16-20 PM, (AN 024)- Vlad Matei (University of Cambridge): Linear algebra problems
16 December, 16-20 PM, (AN 024)- Alin Galatan (University of California Los Angeles): Lebesgue dominated convergence theorem, Beppo-Levi monotone convergence theorem and applications (cancelled)
19 December, 16.30-18.30 PM, (AN ???)- Andrei Negut (Harvard University & IMAR): Linear algebra problems from Putnam
6 January, 16-20 PM, (AN 024)- Virgil Damian (Politehnica University of Bucharest): An introduction to complex analysis and applications to elementary problems
13 January, 16-20 PM, (AN 024)- Virgil Damian (Politehnica University of Bucharest): Elements of probability theory and applications

SOME NOTES:

1. More proofs of the divergence of the hamonic sequence by Stepehn Kifowit (Prairie State College)
2. Evaluating \zeta(2) by Robin Chapman (University of Exeter)

BIBLIOGRAPHY

1. R. Gelca, T. Andreescu-Putnam and Beyond, Springer Verlag, 2007.
2. T.L. Radulescu, V. D. Radulescu, T. Andreescu-Problems in real analysis: advanced calculus on the real axis, Springer Verlag, 2010
3. V. Boju, L. Funar-The Math Problems Notebook, Birkhauser Verlag, 2007
4. T. Andreescu, G. Dospinescu-Problems from the Book, XYZ Press, 2008
5. V. Prasolov-Polynomials, Springer Verlag, 2001
6. M. Aigner, G. Ziegler-Proofs from the BOOK, Springer Verlag 2010 (4-th edition)
7. V. Prasolov-Problems and Theorems in Linear Algebra, American Mathematical Society Press, 2001
8. M. Olteanu-Probleme de Analiza Matematica-notiuni teoretice si probleme rezolvate, Ed. Printech, 2005
9. I. Colojoara, R. Miculescu, C. Mortici-Analiza Matematica-probleme, Ed. All, 2002
10. C. Baetica, C. Boboc, S. Dascalescu, G. Mincu-Probleme de algebra, Ed. Universitatii Bucuresti, 2008
11. A. Gica, L. Panaitopol- Probleme de aritmetica si teoria numerelor, Ed. Universitatii Bucuresti, 2006
12. R. Miculescu, C. Ciobotaru, A. Rosoiu, N. Banda, C. Lupu-Probleme de calcul integral, Ed. GIL, 2005
13. V. Pop-Probleme de algebra liniara pentru studenti si concursuri, Ed. Mediamira, 2008
14. J. N. de Souza, J. N. Silva-Berkeley problems in mathematics, Springer Verlag (third edition), 2000
15. D. Busneag, F. Chirtes, D. Piciu-Probleme de algebra liniara, Editura Universitaria Craiova, 2002
16. V. Pop, I. Corovei-Algebra liniara: seminarii, teme, concursuri, Ed. Mediamira Cluj-Napoca, 2006
17. S. Mirica-Ecuatii Diferentiale si Integrale; algoritmi, probleme, exercitii, Ed. Universitatii Bucuresti, 1999
18. G. Andrei, C. Caragea, G. Bordea-Algebra: pentru concursuri de admitere si olimpiade scoalre, Ed. Top AZ, 1993
19. V. Pop-Algebra Liniara: Matrice si Determinanti; pentru elevi, studenti si concursuri, Ed. Mediarmira, 2007
20. T. Andreescu, D. Andrica-Complex Numbers from A to Z, Birkhauser Verlag, 2006
21. T. Lupu-Probleme de Analiza Matematica-Calcul Integral, Ed. GIL, 1996
22. M. Radulescu, S. Radulescu-Probleme si Teoreme de Analiza Matematica, Ed. Didatica si Pedagogica, 1982
23. B. Bollobas-The Art of Mathematics, Cambridge University Press, 2006
24. G. Szekeley-Contests in Higher Mathematics- Miklos Schweitzer competition 1962-1991, Springer Verlag, 1996
25. Herbert S. Wilf, Generating Functionology, Academic Press, 1990
26. A. M. Yaglom, I. M. Yaglom- Challenging Mathematical Problems with Elementary Solutions Vol. 1 & 2, Dover Publications, 1987
27. Frederick Mosteller- Fifty Challenging Problems in Probability with Solutions, Dover Publications, 1965
28. Kedlaya, Poonen and Vakil- The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary, The Mathematical Association of America, Washington, D.C., 2002
29. William Lowell Putnam Competitions 1995-2010
30. Donald J. Newman- A Problem Seminar, problem books in mathematics, Springer Verlag, 1982
31. http://www.mathlinks.ro and http://www.mateforum.ro

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40 Comments

  1. Anastase Violeta says:

    Eu mă voi putea prezenta la pregatire luni dupa ora 12,00 marti, miercuri si joi după ora 16.00, vineri după ora 14.00, sau in week-end. Multumesc anticipat.

  2. dianamincu says:

    Eu pot :
    -luni dupa 15:00
    -marti dupa 20:00
    -miercuri dupa 20:00
    -joi dupa 18:00

  3. Eu pot :
    Luni dupa 6
    Marti dupa 4
    Miercuri dupa 6
    Joi dupa 1
    Vineri dupa 2

    As prefera Marti sau Miercuri , daca se poate.

  4. Rublea Alina says:

    Eu am liber:
    Luni de la 6
    Marti de la 8
    Miercuri de la 6
    Joi de la 2-4 sau de la 8

  5. Nicula Bogdan says:

    Eu pot:
    Luni dupa 8pm
    Marti dupa 6pm
    Miercuri dupa 11a.m. exceptie de la 3 la 5 p.m. in saptamani pare
    joi dupa 8pm
    vineri dupa 2pm
    de asemenea as fi disponibil si in weekend

  6. eu am liber:
    luni de la 6
    marti de la 4
    miercuri de la 6
    vineri de la 2

  7. Roxana says:

    Eu pot:
    Marti dupa 6 pm
    Miercuri dupa 11 am
    Vineri dupa 2 am
    Si in week-end oricand.

  8. Paul Florin says:

    eu pot:

    – miercuri dupa ora 11
    – vineri oricand in afara de 12-14
    – weekend

  9. Cristy Ciuca says:

    eu pot:
    -luni,miercuri,joi dupa ora 18
    -marti dupa ora 16
    -vineri dupa ora 14
    -weekend

  10. Adrian Olteanu says:

    Am liber:

    -luni 8-12
    -marti dupa 16
    -miercuri 8-14
    -vineri dupa 14

  11. Eu pot:
    Miercuri la 11:00
    Vineri la 10:00

  12. cvelea says:

    eu pot miercuri de la 11
    si vineri de la 10

  13. Stoican Andreea says:

    Eu pot:
    -marti, dupa ora 14
    -miercuri, dupa ora 16
    -joi de la ora 12 la 14
    -vineri dupa ora 14

  14. Vlad Ionescu says:

    Am liber:
    Luni: dupa 18:00
    Miercuri: dupa 16:00
    Joi: inainte de 11:00, dupa 18:00
    Vineri: inainte de 12:00, dupa 18:00

  15. Orban Szabolcs says:

    Eu pot veni:

    Luni: dupa 18:00
    Marti: dupa 10:00
    Miercuri: dupa 18:00
    Vineri: dupa 16:00

  16. Emma says:

    luni: dupa 18
    marti: dupa 20
    miercuri: dupa 18
    joi: dupa 14
    vineri: dupa 16
    🙂

  17. Andrada Sofia says:

    Timp liber:
    – miercuri dupa 11, cu exceptia orelor:16-18;
    -vineri fara intervalul 12-14;
    -weekend( de obicei plec din Bucuresti intr-un weekend din 2 sau 3)

  18. Luni: 14-15 si de la 18 oricat
    Marti: 11-12 si dupa 18
    Miercuri: 11-12 si dupa 18
    Joi: 14-16 si dupa 18
    Vineri: dupa 17

  19. Lazar Andrei says:

    Marti: 08-16
    Miercuri: dupa 15:00
    Joi:dupa 16:00
    Vineri: fara intervalul 10:00-18:00

  20. Andrei Preda says:

    Luni 16-18
    Vineri 14-18 (in saptamanile impare am toata ziua pana la 18)

  21. Buliga Alexandru says:

    Marti: 8-12; 14-16
    Miercuri: dupa 15
    Joi: 18-20
    Vineri: 8-12

  22. Tesila Bianca says:

    Luni:16:00
    Miercuri:17:00
    Joi:16:00
    Vineri:14:00

  23. Aierdna says:

    Luni: dupa 18:00
    Marti: dupa 12:00
    Miercuri: dupa18:00
    Joi: 08:00-10:00, 13:00-16:00
    Vineri: dupa 16:00

  24. Padureanu Victor says:

    luni 18-20
    miercuri 14-16
    miercuri 18-20
    joi am toata ziua libera da’ ash prefera sa ramana asha
    vineri 18-20 (da’ e k shi in weekend acolo)
    weekendul (in kre mai plec acasa)

  25. Laurentiu Tuca says:

    Miercuri 14-16

  26. cezarlupu says:

    Dragii mei,

    Uitandu-ma pe programul vostru, eu as inclina spre vineri orele: 16-20. Sunt unii dintre voi care nu pot veni in intervalul 16-18, iar altii care nu pot in intervalul 18-20. Asa ca, fiecare dintre voi vine cand vrea in acest interval de 4 ore. Voi ce parere aveti?

    Pe de alta parte, prima sedinta de pregatire va fi de intorducere in atmosfera concursururilor studentesti (ce sunt si cu ce se mananca :)) si ma gandeam sa fie joia aceasta de la orele 20 in AN 030. Voi ce credeti? Vi se pare in regula?

  27. Padureanu Victor says:

    nu crezi k e km tarziu 20+?

  28. Tesila Bianca says:

    Mie mi se pare ok:d

  29. Cristy Ciuca says:

    eu zic ca ar fi mai bine joi la 19, la 20 e prea tarziu

  30. Nicula Bogdan says:

    Vineri de la 16 la 20 este ideal pentru mine.
    Maine insa nu cred ca pot veni, trebuie sa plec acasa(in BV)… Oricum voi lua notitele de la un coleg.

  31. cezarlupu says:

    Eu as fi vrut sa facem de la 19 maine, insa sutn destui care au ore pana la 20. Credeti ca mie imi convine sa vin la ora asta ??! Va zic eu ca nu, insa n-am ce face. Anul trecut, daca va uitati pe program, tot de la ora 20 s-au facut pregatirile si parca n-am vazut prea multi studenti sa aiba obiectii in acest sens. Veniti voi cu o idee mai buna pentru maine si eu voi fi de acord. 🙂

  32. dianamincu says:

    Este ok maine de la 20, dar vinerea nu as avea cum sa vin decat rar. Dar daca nu se poate altfel iau de la cineva ce s-a facut la pregatire 🙂

  33. cezarlupu says:

    Diana, nu poti deloc vinerea?? Am lasat 4 ore (2 cu 2).

  34. dianamincu says:

    Am ore de la 8 dimineata pana la 6. As putea sa vin doar in weekend-urile in care raman in Bucuresti.

  35. dianamincu says:

    Nu e vorba de cateva ore, dar ultimul tren este la 7 jumate si chiar nu am cum sa ajung 🙂

  36. Sevastian Emma says:

    Neatza. Tot anul trecut am iesit la 8 vineri si daca s-ar putea sa facem in alta zi ar fi mai ok. Daca nu de la 16-18 vinerea as cam putea ajunge.

  37. Anastase Violeta says:

    Buna ziua. Pentru mine e ok si vinerea la ora 20.00.

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