to successfully present the required number of lectures,  
to actively participate in the discussions (in particular it implies ones presence in the meetings!),  
to reasonably treat at least 70% of the proposed exercises and to present some of the solutions to the audience. 
Lectures:  Exercises:  
Lecture 1, Tuesday, February 21, 2012, Speaker: Oleksandr Iena Topic: Greatest common divisor for integer numbers and linear diophantine eqiations. 
Exercises from Lecture 1 psfile , pdffile  
Lecture 2, Tuesday, February 28, 2012, Speaker: Kathleen Franzen Topic: Euclidean and factorial rings. 
Exercises from Lecture 2 psfile , pdffile  
Lecture 3, Tuesday, March 6, 2012, Speaker: Ricardo De Sousa Topic: Continued fractions. 
Exercises from Lecture 3 psfile , pdffile  
Lecture 4, Tuesday, March 13, 2012, Speaker: Mike Schomer Topic: Quadratic residues. 
Exercises from Lecture 4 psfile , pdffile  
Tuesday, March 20, 2012 NO LECTURE. 
Exercises from previous lectures psfile , pdffile  
Lecture 5, Tuesday, March 27, 2012, Speaker: Amide Dervishi Topic: Euler's theorem and RSA algorithm. 
Exercises from Lecture 5 psfile , pdffile  
Lecture 6, Tuesday, April 10, 2012, Speaker: Mike Schomer Topic: Quadratic residues (II). Legendre and Jacobi symbols. 
Exercises from Lecture 6 psfile , pdffile  
Lecture 7, Tuesday, April 17, 2012, Speaker: Kathleen Franzen Topic: Primality tests 
Exercises from Lecture 7 psfile , pdffile  
Lecture 8, Tuesday, April 24, 2012, Speaker: Ricardo De Sousa Topic: padic numbers 
Exercises from Lecture 8 psfile , pdffile  
Lecture 9, Tuesday, May 8, 2012, Speaker: Amide Dervishi Topic: Sums of squares. 
Exercises from Lecture 9 psfile , pdffile  
Lecture 10, Tuesday, May 15, 2012, Speakers: Kathleen Franzen and Ricardo De Sousa Topic: The TonelliShanks algorithm. 
Exercises from Lecture 10 psfile , pdffile  
Lecture 11, Tuesday, May 22, 2012, Speakers: Amide Dervishi and Mike Schomer Topic: Discrete logarithm and the babystep giantstep algorithm. 
Exercises from Lecture 11 psfile , pdffile 
A Friendly Introduction to Number Theory.

Main books:  
Silverman, Joseph H.  A friendly introduction to number theory, Upper Saddle River, N.J. : Pearson, 2006, 264 p.  
MüllerStach, Stefan; Piontkowski, Jens.  Elementare und algebraische Zahlentheorie. Ein moderner Zugang zu klassischen Themen, Wiesbaden: Vieweg. 2011, ix, 240 p.  
Baldoni, Maria Welleda; Ciliberto, Ciro; Piacentini Cattaneo, Giulia Maria.  Elementary number theory, cryptography and codes, Berlin : Springer, 2009.  522 p.  
Cohen, Henri.  A course in computational algebraic number theory, Berlin: Springer, 1995, 534 p.  
Cox, David A.  Primes of the form $x^2+ny^2$. Fermat, class field theory, and complex multiplication, WileyInterscience Series in Pure and Applied Mathematics. New York, NY: Wiley, 1997, xi, 351 p.  
Additional books:  
Neukirch, Jürgen.  Algebraic number theory; transl. from the German by Norbert Schappacher, Berlin: Springer, 1999, 571 p.  
Samuel, Pierre.  Algebraic theory of numbers. (Translated from the French by Allan J. Silberger), Boston, Mass.: Houghton Mifflin Co., 1970, 109 p.  
Stillwell, John.  Elements of number theory, New York, NY: Springer. 2003, xii, 254~p.  
Pollard, Harry.  The theory of algebraic numbers, Carus Mathematical Monographs, No.9. New York: John Wiley & Sons. 1950, XII, 143 p. 