University of Pittsburgh, Pittsburgh, PA, United States

The University of Pittsburgh, commonly referred to as Pitt, is a state-related research university located in Pittsburgh, Pennsylvania, United States. Founded as Pittsburgh Academy in 1787 on what was then the American frontier, Pitt is one of the oldest continuously chartered institutions of higher education in the United States. Pitt evolved into the Western University of Pennsylvania in 1819.

For more details, please see wikipedia(University of Pittsburgh). Below, you can find some pictures with the city and Pitt campus.

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MIT Open Course-Mathematics

I found on the internet a page with mathematics courses from MIT. I strongly believe that students (especially romanians ) will find these courses very inspiring and helpful for their preparation for the exams. Here: MIT OPEN COURSES-MATHEMATICS

Real Analysis course, Spring 2010 (Professor Francis Edward Su)

Here is a very interesting course in Real Analysis which was held by professor Francis Edward Su at Harvey Mudd College, USA. I think that students (especially Romanian students) will find this course really nice and more focused on the interaction between student-professor.

REAL ANALYSIS COURSE

Lecture 1 (Constructing the Rational Numbers)
Lecture 2 (Properties of )
Lecture 3 (Construction of the reals)
Lecture 4 (The Least Upper Bound Property)
Lecture 5 (Complex Numbers)
Lecture 6 (The Principle of Induction)
Lecture 7 (Countable and Uncountable Sets)
Lecture 8 (Cantor Diagonalization and Metric Spaces)
Lecture 9 (Limit Points)
Lecture 10 (The Relationship Between Open and Closed Sets)
Lecture 11 (Compact Sets)
Lecture 12 (Relationship of compact sets to closed sets)
Lecture 13 (Compactness and the Heine-Borel Theorem)
Lecture 14 (Connected Sets, Cantor Sets)
Lecture 15 (Convergence of sequences)
Lecture 16 (Subsequences, Cauchy Sequences)
Lecture 17 (Complete Spaces)
Lecture 18 (Series)
Lecture 19 (Series Convergence Tests, Absolute Convergence)
Lecture 20 (Limits and Continuity)
Lecture 21 (Continuous Functions)
Lecture 22 (Uniform Continuity)
Lecture 23 (Discontinuous Functions)
Lecture 24 (The Derivative and the Mean Value Theorem)
Lecture 25 (Taylor’s Theorem, Sequence of Functions)
Lecture 26 (Ordinal Numbers and Transfinite Induction)

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 in USA. 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 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. www.mathlinks.ro and www.mateforum.ro

Math Contests lessons for undergraduate students of Politehnica University of Bucharest 2010-2011

As some of you have been already informed about the preparation lessons for SEEMOUS competition which will be held next year in Bucharest at Politehnica University of Bucharest, I decided together with professors Radu Gologan and Mircea Olteanu to start the lessons at the beginning of December. The location will be probably AN 030 or AN 032.
On the other hand, since I do not know every student who wants to participate in the lessons and eventually for the tests that will decide the team for the Seemous contest, I made a list with all students. If there are any other interested in the lessons, please send me an e-mail to the following addresses: lupucezar@gmail.com and lupucezar@yahoo.com.

-Ghiuta Alexandru (1-st year, gr. 311 CC, e-mail: ghiutaalex@yahoo.com)
-Sasu Robert (1-st year, gr. 312 CA, e-mail: s_roby2006@yahoo.com)
-Ciorbaru Vicentiu (1-st year, gr. 312 CA, e-mail: cvicentiu@gmail.com)
-Rublea Alina-Mirela (1-st year, gr. 312 CA, e-mail: alinutza_blue_chick@yahoo.com)
-Trandafir Ruxandra (1-st year, gr. 312 CA, e-mail: trandafir.ruxandra@yahoo.com)
-Pirvulescu Dan (1-st year, gr. 311 CC, e-mail: pirvulescudan@yahoo.com)
-Teaca Ionut (1-st year, gr. 311 CC, e-mail: younut_teaca91@yahoo.com)
-Ciobanu Nicolae (1-st year, gr. 311 CC, e-mail: nicu.ciobanu91@yahoo.com)
-Barosan Vlad (1-st year, gr. 311 CC, e-mail: vdbeurope@yahoo.com)
-Oncioiu Raluca (1-st year, gr. 313 CA, e-mail: 313 CA, e-mail: oncioiu.raluca@yahoo.com)
-Mincu Diana (1-st year, gr. 311 CB, e-mail: rock_annaid@yahoo.com)
-Sevastian Emma (1-st year, gr. 311 CA, e-mail: em_yfriend@yahoo.com)
-Doncea Radu (1-st year, gr. 311 CA, e-mail: raducu2205@yahoo.com)
-Draghici Mihail (1-st year, gr. 314 CC, e-mail: mi5hu_2006@yahoo.co.uk)
-Budulan Stefania (1-st year, gr. 314 CB, e-mail: stefaniabudulan@yahoo.com)
-Rapeanu Alexandra (1-st year, gr. 1211E CTI (FILS), e-mail: ale_xia13@yahoo.com)
-Catuneanu Mircea (1-st year, gr. 313 AA, e-mail: sparrowhawck13@yahoo.co.uk)
-Vasiliu Andrei (1-st year, gr. 315 CB, e-mail: andrei.vasiliu2211@cti.pub.ro)
-Popescu Bogdan (1-st year, gr. 313 CB, e-mail: popescu_bogdan_constantin@yahoo.com)
-Chelcioiu Ionut (1-st year, gr. 315 CB, e-mail: surfboard_100@yahoo.com)
-Tuca Laurentiu (1-st year, gr. 313 CA, e-mail: laurentzium@yahoo.com)
-Ciocarlan Daniel (1-st year, gr. 315 CB, e-mail: daniel.ciocirlan1607@cti.pub.ro)
-Popescu Victor (1-st year, gr. 411 G ETTI, e-mail: victor_bgdn@yahoo.com)
-Vasile Mihaela (2-nd year, gr. 321 CB, e-mail: mihaela.a.vasile@gmail.com)
-Petre Luca (2-nd year, gr. 1221 FILS, e-mail: petreluca_buzau@yahoo.com)
-Selepiuc Claudia (1-st year, gr. 412 G ETTI, e-mail: talitha_csel@yahoo.com)
-Sandru Diana (1-st year, gr. 412 G ETTI, e-mail: diana_elena_sandru@yahoo.com)
-Calangiu Ioana (1-st year, gr. 411 G ETTI, e-mail: ioana.calangiu@yahoo.com)
-Chitu Claudia (1-st year, gr. 312 AB IA, e-mail: chitu_claudiiia@yahoo.com)
-Dumitrescu Evelina (1-st year, gr. 311 CA, e-mail: evelina_dumitrescu@yahoo.com)
-Padureanu Victor (1-st year, gr. 313 CA, e-mail: victorunderlinepadureanu@yahoo.com)
-Duta Victor (3-rd year, gr. 334 CC, e-mail: hades20052005@yahoo.com )

THE SELECTION TEST WILL BE ON THURSDAY, 17-TH FEBRUARY 2011, 20.00 PM, AN 030

THE SUPLEMENTARY SELECTION TEST WILL BE ON SATURDAY 19-TH FEBRUARY 2011, 11.00 AM, AN 015

I am waiting for your reply about the day that the lessons will be held. For example, last year the preparation lessons were on Wendsday, 20-21.30 P.M. This was a little bit late though, but it was the only solution.

Schedule: (December 2010-January-February-March 2011)

16 December, 20-21.30 PM, (AN 030)- Andrei Negut (Harvard University & IMAR): Putnam competition and Putnam type problems
21 December, 20-21.30 PM, (AN 030)- Cezar Lupu (Politehnica University of Bucharest): Sequences and series of real numbers and functions
6 January, 20-21.30 PM, (AN 030)- Vlad Matei (University of Bucharest): Linear algebra problems
10 January, 20-21.30 PM, (AN 030)- Remus Nicoara (University of Tennessee Knoxville & IMAR): Matrices as Operators. Analytic techniques in Linear Algebra problems I
13 January, 20-21.30 PM, (AN 030)- Remus Nicoara (University of Tennessee Knoxville & IMAR): Matrices as Operators. Analytic techniques in Linear Algebra problems II
19 January, 20-21.30 PM, (AN 030)- Cezar Lupu (Politehnica University of Bucharest): Applications of Fourier series in competition problems
28 February, 18-20.30 PM, (AN 030)- Cezar Lupu (Politehnica University of Bucharest): Problems from Seemous (2007-2010) and beyond I
1 March, 16-18.30 PM, (AN 030)- Cezar Lupu (Politehnica University of Bucharest): Problems from Seemous (2007-2010) and beyond II
24 March, 20-21.30 PM, (AN 030)- Remus Nicoara (University of Tennessee Knoxville & IMAR): Problems from Traian Lalescu competition I
31 March, 20-21.30 PM, (AN 030)-Remus Nicoara (University of Tennessee Knoxville & IMAR): Problems from Traian Lalescu competition II
7 April, 20-21.30 PM, (AN 030)- Cezar Lupu (Politehnica University of Bucharest): Problems from Traian Lalescu competition III
18 April, 20-21.30 PM, (AN 030)- Cezar Lupu (Politehnica University of Bucharest): SEEMOUS 2011. Problems, solutions and comments I

PREPARATION PROGRAM FOR THE INTERNATIONAL MATHEMATICAL COMPETITION, Blagoevgrad, 28 July-3 August 2011

THE TEAM OF POLITEHNICA UNIVERSITY OF BUCHAREST for SEEMOUS 2011 COMPETITION

1. Emma Sevastian- 311 CA
2. Vasile Mihaela- 321 CB -bronze medal
3. Rublea Alina- 312 CA -bronze medal
4. Mincu Diana- 311 CB -bronze medal
5. Popescu Victor- 411 G
6. Sasu Robert- 313 CA -silver medal
7. Tuca Laurentiu- 313 CA -silver medal
8. Petre Luca- 1221 FILS -bronze medal

TRAIAN LALESCU COMPETITION, SATURDAY, 9TH APRIL 2011, 10.00 AM, AN 032

THE TEAM OF POLITEHNICA UNIVERSITY OF BUCHAREST for IMC 2011 COMPETITION

1. Padureanu Victor- 313 CA
2. Emma Sevastian- 311 CA
3. Tuca Laurentiu- 313 CA
4. Mincu Diana- 311 CB
5. Rublea Alina- 312 CA

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

www.mateforum.ro

Three years ago, more exactly in 2007, I initiated together with Alex Dura and Alin Galatan a mathematical forum dedicated to all levels of mathematics starting from 5-th grade to faculty and more.

Today, after three years of hard work, the team of administrators of mateforum gained some new collegues such as: Benjamin Bogosel and Laurian Filip. Mateforum has now more than 2000 registered users and almost 12000 posts.

For more detalis, I kindly invite you to visit: www.mateforum.ro.