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August 4, 6: Lecture 1-The Geometrical View of: Direction Fields, Integral Curves. Lecture 4-First-order Substitution Methods: Lecture 6-Complex Numbers and Complex Exponentials.

Lecture 7-First-order Linear with Constant Coefficients: The Three Cases Lecture Continuation: Operator and Solution Formulas Qlgebra Exponentials. Lecture Interpretation of the Exceptional Case: Repeated Real Eigenvalues, Complex Eigenvalues. Theory, Fundamental Matrix, Variation of Parameters.

Lecture Non-linear Autonomous Systems: Existence and Non-existence Criteria. January 28, 4: At the beginning of January I was invited by the president of the Romanian Mathematical Society, Radu Gologan, to deliver a geometry lecture for Romanian high school students preparing for the International Mathematical Olympiad. The lecture xlgebra Romanian covered topics like geometric and trigonometric inequalities from the euclidian geometry of triangle. The problems were taken from different sources: April 18, 9: The University of Pittsburghcommonly referred to as Pitt, is a state-related research university located in Pittsburgh, Algrbra, United States.

Founded as Pittsburgh Academy in on what was then the American frontier, Pitt is one of the oldest continuously chartered institutions of higher education in the United States.

## Nucleu (algebră liniară)

Pitt evolved into the Western University of Pennsylvania in For more details, please see wikipedia University of Pittsburgh. Below, you can find some pictures with the city and Pitt campus.

You can also see other two videos about this lovely city. December 7, 9: I found on the internet a page with mathematics courses from MIT.

I strongly believe that students especially romanians: November 21, 7: I think that students especially Romanian students will find this course really nice and more focused on algfbra interaction between student-professor. October 6, 7: 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: The following students are registered so far:. Computer Science and Engineering e-mail: Computer Science and Engineering, e-mail: Engineering in Foreign Languages, e-mail: Electronics and Telecommunications, e-mail: Sequences and series of real numbers. Sequences ansd series of real numbers.

### Proiect la Algebra Liniara

Sequences and series of real functions. Lebesgue dominated convergence theorem, Beppo-Levi monotone convergence theorem and applications cancelled 19 December Elements of probability theory and applications. Evaluating by Robin Chapman University of Exeter. Andreescu- Putnam and BeyondSpringer Verlag, Andreescu- Problems in real analysis: Prasolov- PolynomialsSpringer Verlag, 6. Olteanu- Probleme de Analiza Matematica-notiuni teoretice si probleme rezolvateEd.

Mincu-Probleme de algebra, Ed. Universitatii Bucuresti, Panaitopol- Probleme de aritmetica si teoria numerelor, Ed. Lupu-Probleme de calcul integral, Ed. Pop-Probleme de algebra liniara pentru studenti si concursuri, Ed. Silva- Berkeley problems in mathematicsSpringer Verlag third edition Piciu- Probleme de algebra liniaraEditura Universitaria Craiova, Mediamira Cluj-Napoca, Mirica-Ecuatii Diferentiale si Integrale; algoritmi, probleme, exercitii, Ed.

Top AZ, Matrice si Determinanti; pentru elevi, studenti si concursuri, Ed. Didatica si Pedagogica, Wilf, Generating FunctionologyAcademic Press, William Lowell Putnam Competitions November 6, 3: The location will be probably AN or AN 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: Ljniara am waiting for your reply about the day that the lessons will xlgebra held. For example, last year the preparation lessons were on Wendsday, This was a little bit late though, but it was the only solution.

Putnam competition and Putnam type problems 21 December Sequences and series of real numbers and functions 6 January Linear algebra problems 10 January Analytic techniques in Linear Algebra problems I 13 January Applications of Fourier series in competition problems 28 February Problems from Seemous and beyond I 1 March Problems from Seemous and beyond II 24 March Problems from Traian Lalescu competition I 31 March Problems, solutions and comments I.

A,gebra Sevastian — CA 2. Vasile Mihaela — CB -bronze medal 3. Rublea Alina — CA -bronze medal 4. Mincu Diana — CB -bronze medal 5. Popescu Victor — G 6. Sasu Robert — CA -silver medal 7. Tuca Laurentiu — CA -silver medal 8. Padureanu Victor — Kiniara 2.

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Emma Sevastian — CA 3. Tuca Laurentiu — CA 4. Mincu Diana — CB 5. Rublea Alina — CA. Blog Stats 97, hits. This slideshow requires JavaScript. The following students are registered so far: December January-February-March 16 December ,