CORRESPONDENT SPEAKS In today’s changing scenario, there is an increasing necessity of empowering the students through innovative education. They should also be made aware of their rights and responsibilities. In the present system, students gain mere subject knowledge through the educational institutions. A healthy educational environment will cultivate positive personality among the students. “Students of today are the citizens of tomorrow” and so, they should be motivated towards the right direction. This magazine encompassing Puzzles, Aptitude questions, Vedic Maths and many more will create flourishing impact in the mind of the readers. I wish all the budding mathematics genius, a good luck. FROM THE PRINCIPAL’ S DESK Creativity keeps the human being on the path of progress and helps for perpetuity and comfort. Innovative thoughts make global changes. This magazine is a testimony to the creative skills of our students. Roll of honour and the achievements of the department are milestones of the department. The articles of the creators embellish this magazine. Wish them all a great success. HEAD OF THE DEPARTMENT’S MESSAGE Warm Greetings . I would like to express my gratitude to the patron Thiru P.Sachithanandan, Correspondent, KASC, the editorial board of this MATHEZINE and all the contributors. Sit back, relax and have sweet memories of the year passed. I feel proud to get published in this magazine, our successful activities and events of the academic year 2013-14. With hope and confidence in the family of mathemat ics at Kongu Arts and Science College, which is marching towards progress and prosperity, I pray to the almighty for a healthy, wealthy and pr osperous life to all my students. EDITORIAL BOARD Staff editors :Mr.D.SIVAKUMAR M.Sc.,MCA.,M.Phil., Mrs.K.MALATHI M.Sc.,M.Phil., Mr.M.SURESH M.Sc., M.Phil., Mrs.C.RADHAMANI M.Sc., M.Phil., Mr.S.SURESH M.Sc., M.Phil., Ms.N.RAJESWARI M.Sc., Student editors :Mr.S.GOKULA KRISHNAN Final B.Sc Maths (CA) Mr.A.UDHAYAKUMAR ,, Mr.N.TAMILSELVAN ,, Mr.M.PRINCE ,, Mr.P.PASUPATHI ,, EDITOR’S DESK A glimpse at the happenings during the academic year (201 3-2014) gives us a sense of pride and satisfaction. This is the story of a queen. We have heard the story of a Greek king who turned every objects he touched into gold. Our queen is different! She never changed anything to gold, but here is a magic touch that altered the course of history. This queen is none other than ‘Mathematics’- the undisputed queen of all sciences! We cannot imagine a single branch of science where the influence of mathematics is not felt. Over the years, mathematics has grown to be the strongest scientific discipline ever, and some great mathematicians paved the way for its present glory. The board hole heartedly appreciate and acknowledges the creativity and assistance offe red by the students of the department in bringing out this magazine. About ttthethe Department The department is one among the departments serving the academic needs of the institute since 1994. It offers M.Phil., M.Sc., and B.Sc., programmes. In addition, it imparts knowledge on fundamentals of mathematics for various courses. The department is offering two value added courses “Interactive Mathematics” and “Foundations of Mathematics”. In addition to teaching, faculty members are actively engaged in research and developmental activities by participating in various conferences and published papers in national and international journals. VISION To establish a strong mathematical foundation in theory and practical among the learners with an aim to service the society. M ISSION To inculcate mathematical advancements among the rural learners leading to socially relevant research. Courses Leading to Employment and Higher Education. RANK HOLDERS PG UG S.No. NAME BATCH RANK S.No NAME BATCH RANK 1 SAVITHA.P 2006-2008 I* 1 SARANYA.S 2005-2008 IV 2 RENUGA DEVI.P 2007-2009 I* 2 PRIYANKA.T 2008-2011 I* 3 SARANYA.N 2007-2009 II 3 RAMYA.S 2008-2011 IV 4 MALENI.R 2007-2009 III 4 ARCHANA.P 2008-2011 VIII 5 MEGALA.T 2007-2009 V 5 MUTHUMEENATCHI.V 2009-2012 IV 6 DEVI.P 2008-2010 III 6 PREETHI.S 2011-2014 III 7 AMUDHAMALAR.V 2008-2010 IV 7 DHARANI.M 2011-2014 VII 8 JAYAPRIYA.T 2008-2010 VI 8 SUGANYA.J 2011-2014 IX 9 YUVAREKHA.R 2009-2011 I* 10 SHANKAR.N 2010-2012 II 11 GANGA.D 2010-2012 III 12 PRIYANKA.T 2011-2013 II 13 MANJU.S 2011-2013 III 14 GAYATHRI.L 2011-2013 VIII 15 CHITRA.G 2012-2014 VI PLACEMENT (2013-14) S.No Student Name Company WIPRO 1 SUGANYA J TECHNOLOGIES 2 DHARANI M INFOSYS 3 SUKUMAR G TCS 4 MANORAJ S TCS 5 MANORAMYA E TCS 6 SIVASELVI K TCS 7 VIJAYA SHREE J TCS 8 SRIDEVI R CTS 9 SRIJITH A EUREKA FORBES 10 MAHALAKSHMI C EUREKA FORBES 11 NANDHINI DEVI N EUREKA FORBES 12 SANTHOSH KUMAR G EUREKA FORBES 13 SUBBULAKSHMI T M EUREKA FORBES RAASI 14 SINDHU V CONSTRUCTIONS Budding Mathematician Galois was born on 25 October 1811 to Nicolas-Gabriel Galois and Adélaïde-Marie (born Demante). He became bored with his studies and,Galois at 1811 the- 1832age of 14, he began to take a serious interest in mathematics. Budding Mathematician In the following year Galois's first paper, on continued fractions, was published. It was at around the same time that he began making fundamental discoveries in the theory of polynomial equations. He submitted two papers on this topic to the Academy of Sciences. Augustin Louis Cauchy refered these papers, Cauchy recognized the importance of Galois's work, and that he merely suggested combining the two papers into one in order to enter it in the competition for the Academy's Grand Prize in Mathematics. Despite the lost memoir, Galois published three papers that year, one of which laid the foundations for Galois theory. The second one was about the numerical resolution of equations (root finding in modern terminology). The third was an important one in number theory, in which the concept of a finite field was first articulated. Galois, always a radical, joined the National Guard, but was subsequently imprisoned in 1831 after proposing a toast interpreted as a threat to the King. On the night before his death in 1832, Galois wrote a letter to his friend Auguste Chevalier, setting forth his discovery of the connection between group theory and the solutions of polynomial equations by radicals (Galois 1959). After writing the letter, Galois was shot to death in his intestine in a gun fight. Cauchy Cauchy was the son of Louis François Cauchy (1760–1848) and Marie-Madeleine Desestre. In 1805 he placed second out of 293 applicants on this exam, and he was admitted. One of the main purposes of this school was to give future civil and military engineers a high-level scientific and mathematical education Engineering days After finishing school in 1810, Cauchy accepted a job as a junior engineer in Cherbourg, he still found time to prepare three mathematical manuscripts, which he submitted to the Première Classe (First Class) of the Institute de France. Cauchy's first two manuscripts were accepted; the third one was rejected. The next three years Augustin- Louis was mainly on unpaid sick leave, and spent his time quite fruitfully, working on mathematics (on the related topics of symmetric functions, the symmetric group and the theory of higher-order algebraic equations). Professor at École Polytechnique In November 1815 one of his great successes at that time was the proof of Fermat's polygonal number theorem. When Cauchy was 28 years old, Alexandre Laurent Cauchy, who became a president of a division of the court of appeal in 1847, and a judge of the court of cassation in 1849; and Eugène François Cauchy, a publicist who also wrote several mathematical works. The conservative political climate that lasted until 1830 suited Cauchy perfectly. In 1824 Louis XVIII died, and was succeeded by his even more reactionary brother Charles X. During these years Cauchy was highly productive, and published one important mathematical treatise after another. He received cross appointments at the Collège de France, and the Faculté des Sciences of the University. Riemann Bernhard seems to have been a good, but not outstanding, pupil who worked hard at the classical subjects such as Hebrew and theology. On one occasion he lent Bernhard Legendre's book on the theory of numbers and Bernhard read the 900 page book in six days. In the spring of 1846 Riemann enrolled at the University of Göttingen. His father had encouraged him to study theology and so he entered the theology faculty. This was granted, however, and Riemann then took courses in mathematics from Moritz Stern and Gauss. Gauss did lecture to Riemann but he was only giving elementary courses and there is no evidence that at this time he recognized Riemann’s genius. Riemann moved Berlin University in the spring of 1847 to study under Steiner, Jacobi, Dirichlet and Eisenstein. This was an important time for Riemann. He learnt much from Eisenstein and discussed using complex variables in elliptic function theory. Riemann's work always was based on intuitive reasoning which fell a little below the rigor required to make the conclusions watertight. However, the brilliant ideas which his works contain are so much clearer because his work is not overly filled with lengthy computations. It was during his time at the University of Berlin that Riemann worked out his general theory of complex variables that formed the basis of some of his most important work.