A group is a central concept of mathematics which is used to describe algebraic operations and symmetries of every possible kind, from modular arithmetic to symmetries of geometric objects. The focus of the course will be on learning group theory. We shall NOT spend time on resume and job application writing, since there is ample opportunity to receive expert help from the career center (a representative of which will give a presentation in class). Templates and some basic tutorials will be provided. During the last quarter of the semester there will be group project presentations.Īll writing has to be done in the word processing system LaTex, which is the only word processing system capable of producing a professional layout. The course is structured around writing assignments on these topics which will be peer reviewed and/or graded by the instructor and the course TA. We shall go far back in the history of such problems (from Egyptian, Babylonian and Greek mathematics through the Middle Ages into our millenium) and try to grasp some understanding of the issues in easy to handle cases (Pythagorean numbers, canon ball stacking etc). The area of mathematics is number theory and in particular the study of Diophantine equations. This conjecture pertains to the behavior of integer/rational solutions to certain equations. In this course we shall focus on the, as of yet unsolved, Birch and Swinnerton-Dyer conjecture. So far only one of the problems, the Poincare Conjecture, has been solved by Perleman (who refused to collect the one million dollar prize stating that mathematics should never be done for money). ![]() In the year 2000 the Clay Institute listed seven (then) unsolved problems across all areas of mathematics considered the most challenging and important for the new millenium. This course meets the junior year writing requirement. Towards the end of the semester groups will complete a research paper of an expository nature and craft a seminar style presentation. Short writing assignments on such topics will be assigned in response to assigned readings from a variety of accessible/provided sources. Writing topics may include proofs, assignment creation, pre-professional writing (resumes/cover letters, research and teaching statements), expository writing for a general audience, recreational mathematics, and the history of mathematics. There will be regular written assignments completed in LaTeX, as well as collaborative writing assignments, owing to the importance of collaborative writing in mathematical research. In this course we will develop facility with LaTeX, and develop a variety of writing practices important to participation in the mathematical community. Of great importance to the publishing process in mathematical sciences is the LaTeX markup language, used to typeset virtually all modern mathematical publications, even at the pre-print stage. While the mathematicians of the pre-internet age often spread their mathematical ideas within the community via written letters prior to publication, modern mathematical correspondence and exposition is rapidly facilitated by a variety of digital tools. Note, you don't need to be first year students to register. Please contact the First Year Program to register for the workshops. The workshops are freely available to students. They may not be used to substitute for nor exempt from the course requirement. The workshops bear no college credits or grades, nor do they contribute towards graduation requirement. Students who attend the workshops tend to have better preparation and show better results when taking the actual course. They range between 12 to 15 hours, offered before the start of the semester. * The Mathematics Preparatory Workshops are designed to provide students with a prerequisite review and a brief introduction of the course. Workbook for WKSHP 1575: Preparation for MAT 1575 (An introduction to Calculus II) Workbook for WKSHP 1475: Preparation for MAT 1475 (An introduction to Calculus I) Workbook for WKSHP 1375: Preparation for MAT 1375 (An introduction to Precalculus) Workbook for WKSHP 1275: Preparation for MAT 1275 (An introduction to College Algebra and Trigonometry) Workbook for WKSHP 1275CO: Preparation for MAT 1275CO (An introduction to College Algebra and Trigonometry with Corequisite) Workbook for WKSHP 1190: Preparation for MAT 1190 (An introduction to Quantitative Reasoning) Math Department Bulletin Mathematics Preparatory Workshops MAT 1175 - Elementary College Geometry Textbook MAT 0650 Homework for the Elementary Algebra Textbook
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