21. Carleton College: Mathematics: Course Information math 244 Geometries. Euclidean geometry from an advanced perspective; Topics include the Euclidean algorithm, classical unsolved problems in number http://apps.carleton.edu/curricular/math/courses/

Skip Navigation Text Only/ Printer-Friendly Site Navigation Information for... - Prospective Students - Current Students - International Students - Alumni - Visitors Quick Links: - A to Z Guide - Academic Departments - Admissions - Athletics - Campus Offices - Carleton News - Employment Opportunities - Event Calendars - Giving to Carleton - Gould Library - Phone/Email Directory - Registrar's Office - Site Map - The Arts at Carleton You are here: Academic Departments Math/CS Mathematics Mathematics ... Overview Courses Advanced Placement The Major Off-Campus Opportunities Post-Graduate Information ... Printer-Friendly Course Information Note: For information about advanced placement, please visit the Advanced Placement page maintained by the Dean's office. 2005-2006 Courses: Browse by Course Number Browse by Term MATH 100: Mathematics and Democracy Mathematics has a substantive role to play in the implementation of democracy. How do we ensure equitable representation? How do we fairly divide finite resources (and share responsibilities and burdens)? How do we ensure that the results of our elections reflect the popular will? Social scientists and mathematicians have turned some powerful mathematical tools onto the investigation of such questions in recent years. We will study some of that work with the dual goals of gaining appreciation for the power and elegance of the mathematical approach to problem-solving and understanding at a deeper level how to construct a just society. 6; S/CR/NC; Mathematics and Natural Sciences; offered

22. Puzzles & Problems mathematical games and recreations, for advanced high school math Another goodsource for AP math students is the unsolved problem of the week archive. http://www.sitesforteachers.com/resources_sharp/math/math_puzzles.html

Adam's Puzzles. Adam's Puzzles contains over 30 puzzles for high school students with a strong background in calculus and geometry. Detailed answers are provided with a complete explanation. Aims Puzzle Corner. Aims Puzzle Corner, intended for students in grades K-6, is a list of monthly math puzzles for 1995 and 1996. You can request solutions via email. Algebra Online. Algebra Online is a service designed to allow students throughout the world to receive free private tutoring. To get online help in algebra, click here Alvirne High School. Alvirne High School's in Hudson, N.H. calculus class invites you to join them in their preparation for the AP exam. The site contains Alvirne's and guest problems of the week, and archives for Alvirne, guest, and student problems with solutions. Included also are sample multiple choice AP calculus questions and solutions, student and teacher calculus resources on the Web, and general information about AP exam Appetizers and Lessons for Math and Reason. Appetizers and Lessons for Math and Reason for the high school math student shows how to use rules and patterns in solving logic/math problems. Among its offerings are arithmetic review problems skills for problem solving in algebra , and problem solving methods for logic puzzles, theorems, and other math topics.

23. Mathematics Courses: Semester System math 3170 advanced Linear Algebra (30-3) Quarter System equivalent MAT 317 distribution of prime numbers, famous unsolved problems, number-theoretic http://www.math.armstrong.edu/semsys/SemesterCourseDescriptions.html

Mathematics Course Descriptions The information contained here is not official. Official information is contained in your AASU Catalog. MATH 1111 MATH 1113 MATH 1950 MATH 1161 ... Degree requirements Checksheets: Option 1 Option 2 Option 3 Sample curricula: Option 1 Option 2 Option 3 MATH 1111 College Algebra (3-0-3) Quarter System equivalent: MAT 101 Prerequisite: Student must satisfy one of the following: (a) fulfillment of the CPC mathematics requirement and a score of at least 380 on the mathematics portion of the SAT, (b) a passing grade on the mathematics component of the CPE, or (c) successful exit from Learning Support Mathematics. Functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study functions and their graphs, inequalities, and linear, quadratic, piecewise-defined, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included. MATH 1113 Pre-Calculus Mathematics (3-0-3) Quarter System equivalent: MAT 103 Prerequisite: MATH 1111 , a score of at least 550 on the mathematics portion of the SAT, or permission of the department head.

24. Rocky Mountain College Academics This course is designed as a precursor to advanced math courses and should betaken during the unsolved problems in mathematics will be discussed. http://academics.rocky.edu/index.php?topgroupid=3&subgroupid=104&groupid=25

25. Department Of Mathematics And Statistics, Memorial University Of Newfoundland An assortment of interesting concepts, unsolved problems, Prerequisite LevelIII Academic Mathematics or Level III advanced Mathematics. http://www.math.mun.ca/index.php3?content=includes/undergradhandbook/courses/m10

26. Ten Ways To Use Puzzles In Math Education Unlike advanced mathematical topics, most puzzles require no special background Should include a directory of major unsolved problems in mathematics for http://www.scottkim.com/education/tenways.html

Ten Ways to Use Puzzles in Math Education Puzzles make math fun Chances are that you already use puzzles in your classroom. After all, a puzzle is nothing but a problem that is fun to solve. Primary level teachers commonly use puzzle manipulatives like tangrams to teach concepts like sahpe, fractions and area. Secondary and high school teachers often use puzzles to introduce concepts and spice up homework. College entrance exams and math competitions are mostly collections of puzzles. As a professional puzzle designer and math educator, I would like to see puzzles used more widely at all levels of math education. Here are ten ways you can use puzzles in your math classrooms, with links to web resources. Most of the products mentioned work with upper elementary through high school students. 1. Classroom Resource Rush Hour Hoppers , and Lunar Lockout from Binary Arts , each of which include a graded series of 40 puzzles. The Problem of the Week book and posters from Dale Seymour Publications (part of Pearson Learning) is a colorful collection of entertaining puzzles that you can hang on your wall. I plan to create similar puzzles on the web. Having students build puzzles themselves both saves money and involves them in a creative crafts activity.

27. Kleene Math Library New Books - September 2004 advanced studies in pure mathematics, 40; Tokyo Mathematical Society of Japan,2004. Guy, Richard K. unsolved problems IN NUMBER THEORY. 3RD ED. http://math.library.wisc.edu/newbooks/2004-09.htm

KLEENE MATHEMATICS LIBRARY University of Wisconsin-Madison ACQUISITIONS: September 2004 The following items were received by the Kleene Mathematics Library during the month of September 2004. These items will be placed on the New Book Shelf for one month and may be borrowed at any time. If you have any questions, please contact a library staff member. Books (in call number order): LH 7AK25 P yr.2004 Supp.1 TOPOLOGY, MATHEMATICAL CONTROL THEORY AND DIFFERENTIAL EQUATIONS, APPROXIMATION THEORY. Proceedings of the Steklov Institute of Mathematics; supplement, 2004; Moscow : Maik Nauka/Interperiodica Pub., 2004. LH 7AP49 M42 v.159 Ern, Alexandre, THEORY AND PRACTICE OF FINITE ELEMENTS. Applied Msthematical Sciences, 159. New York : Springer, 2004. APPLIED MATHEMATICS ENTERING THE 21ST CENTURY : INVITED TALKS FROM THE ICIAM 2003 CONGRESS / edited by James M. Hill, Ross Moore. Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 2004. MATHEMATICAL ADVENTURES FOR STUDENTS AND AMATEURS / edited by David F. Hayes and Tatiana Shubin. Spectrum series; [Washington, DC] : Mathematical Association of America, 2004. Pym, David J. REDUCTIVE LOGIC AND PROOF-SEARCH : PROOF THEORY, SEMANTICS, AND CONTROL. Oxford logic guides, 45; Oxford, UK : Clarendon Press ; New York : Oxford University Press, 2004.

28. Kleene Math Library New Books - August 2004 Theta Series in advanced Mathematics 2. Bucharest Theta, 2003. QA331 A462 2001 unsolved problems IN MATHEMATICAL SYSTEMS AND CONTROL THEORY. http://math.library.wisc.edu/newbooks/2004-08.htm

KLEENE MATHEMATICS LIBRARY University of Wisconsin-Madison ACQUISITIONS: August 2004 The following items were received by the Kleene Mathematics Library during the month of August 2004. These items will be placed on the New Book Shelf for one month and may be borrowed at any time. If you have any questions, please contact a library staff member. Books (in call number order): BS 1180 W34 2004 LB 8G92 Bd. 329 Korevaar, Jacob. TAUBERIAN THEORY: A CENTURY OF DEVELOPMENTS. Grundlehren der mathematischen Wissenschaften 329. Berlin ; New York : Springer, c2004. LH 7AM27 ME vol. 808 Meltzer, Hagen. EXCEPTIONAL VECTOR BUNDLES, TILTING SHEAVES AND TILTING COMPLEXES FOR WEIGHTED PROJECTIVE LINES. Memoirs of the American Mathematical Society number 808. Providence, R.I. : American Mathematical Society, c2004. LH 7AM27 ME vol. 809 Cox, J. T. et al.. MUTUALLY CATALYTIC SUPER BRANCHING RANDOM WALKS: LARGE FINITE SYSTEMS AND RENORMALIZATION ANALYSIS. Memoirs of the American Mathematical Society number 809. Providence, R.I. : American Mathematical Society, c2004. LH 7AM27 ME vol. 810

29. Mathematics Prerequisite(s) math 241 and at least one year of more advanced mathematics, For example, the course might focus on famous unsolved problems, http://www.math.upenn.edu/ugrad/courselist.html

Mathematics Course Register -1997 Notes: CALCULUS: Math courses which FULFILL A GENERAL REQUIREMENT are MATH 130, 140, 141, 150, 151 and 170. MATH 170 is of general interest and is a preferred course for students who do not need Calculus. MATH 130 can be used by such students who would like a more focused mathematics course but who feel intimidated by the Calculus I classes. POTENTIAL MATH MAJORS should note that one of the seminar courses MATH 200-201 or MATH 204-205 are required for the major. These are half unit courses which are taken concurrently with Calculus as an extra course. Potential majors who begin Calculus with MATH 141 or 240 usually take one of the seminars during their freshman year. Potential majors who begin with MATH 140 often postpone their seminar until the following year. Students may not receive credit for two courses at the same level whose contents are similar. For example, a student may not receive credit for both MATH 140 and MATH 150. The list of courses affected by this rule are as follows: 140 and 150; 141 and 151; 360 and 380; 361 and 381; 312, 370, and 390; and 371 and 391. Courses 130, 170, 174, 312, and 475 do not count towards a Mathematics major. Course Listing 104. Interdisciplinary Calculus and Economics.

30. Foundations Of Combinatorics We will include many unsolved problems and directions for future research. Volume 1 by Richard Stanley, Cambridge Studies in advanced Mathematics, 49, http://www.math.washington.edu/~billey/classes/582.html

31. π: MATH Pages Of Jonathan Vos Post By more advanced mathematics, it might be shown that every integer can be As it turns out, there are some solved and some unsolved problems in the http://www.magicdragon.com/math.html

Compiled by Magic Dragon Multimedia May be posted electronically provided that it is transmitted unaltered, in its entirety, without charge. version update of 26 August 2004 [45+ kilobytes] This sentence contains ten words, eighteen syllables, and sixty-four letters. [Jonathan Vos Post, Scientific American, reprinted in "Metamagical Themas: Questing for the Essence of Mind and Pattern", by Douglas R. Hofstadter, paperback reprint March 1996, pp.26-27] Jonathan Vos Post is a Professor of Mathematics at Woodbury University in Burbank, California. His first degree in Mathematics was from Caltech in 1973. He is also, or has been also, a Professor of Astronomy at Cypress College in Orange County, California; Professor of Computer Science at California State University, Los Angeles; and Professor of English Composition at Pasadena City College. He is a widely published author of Science Fiction, Science, Poetry, Math , Drama, and other fields. In his so-called spare time, he wins elections for local political offices and produces operas, as Secretary of Euterpe Opera Theatre. His Erdos Number is 5. For more on Erdos Numbers and related topic, visit the blog at:

32. Academic Affairs - Undergraduate Studies Course Listing Emphasis on examples, applications, and unsolved problems in contemporary areas such math 4431 advanced Calculus, J. Tolosa 4 credits. Contact Hours 4 http://talon.stockton.edu/eyos/page.cfm?siteID=14&pageID=86&program=MATH

33. RPI Math Course Descriptions unsolved math problems, countability and the arithmetic of the infinite, math4600 advanced Calculus Topics include differentials and derivatives of http://eaton.math.rpi.edu/Courses/courses.ulc.html

Undergraduate Courses  This document contains a listing of: Lower Division Undergraduate Courses Upper Division Undergraduate Courses Math Mathematical Programming, Probability and Mathematical Statistics Other listings: Graduate Level Courses Special Topics Courses Lower Division Undergraduate Courses MATH-1010 Calculus I Functions, limits, continuity, derivatives, implicit differentiation, related rates, maxima and minima, elementary transcendental functions, introduction to definite integral with applications to area and volumes of revolution. Lecture: 3 hrs/week Recitation and/or Computer Lab: 2 hrs/week Term(s) Offered: Fall and spring terms annually Credit Hours: 4 MATH-1020 Calculus II Techniques and applications of integration, polar coordinates, parametric equations, infinite sequences and series, vector functions and curves in space, functions of several variables and partial derivatives. Lecture: 3 hrs/week Recitation and/or Computer Lab: 2 hrs/week Prerequisite: Calculus 1 Term(s) Offered: Fall and spring terms annually. Credit Hours: 4 Basic concepts in differential and integral calculus for functions of one variable. Topics will include functions, limits, continuity, derivatives, integration, exponential and logarithmic functions, and techniques of integration. Application areas will include topics in Management, Architecture, and Social Sciences with special emphasis on the role of calculus in introductory probability. Students who have passed MATH-1010 cannot obtain credit for MATH-1500.

34. UIUC Guide To Graduate Student In Number Theory Outstanding unsolved problems include the Riemann hypothesis on the location elementary number theory from an advanced viewpoint, Gauss and Jacobi sums, http://www.math.uiuc.edu/ResearchAreas/numbertheory/guide.html

Guide to Graduate Study in Number Theory Faculty Visitors Students Courses ... Social Events Introduction The object of number theory is to study intrinsic properties of integers, and, more generally of numbers. Here we shall discuss some of the main areas of number theory and some of the important problems in each area. Elementary Number Theory Included in elementary number theory are divisibility and prime factorization, residue classes, congruences, the quadratic reciprocity law, representation of numbers by forms, diophantine equations, continued fraction approximations and sieves. Because of its charm and general accessibility, this is one of the best known areas of number theory. The description "elementary" refers more to the nature of the methods employed than to the level of difficulty of the subject. Analytic Number Theory In analytic number theory an arithmetical phenomenon is represented by a related function, generally an analytic function of a complex variable. Information about the arithmetical problem, generally of an asymptotic nature, is then extracted by analysis of the associated function. It is remarkable that study of continuous quantities yields information in discrete problems. The first famous result in this area is Dirichlet's theorem that any arithmetic progression, a, a + q, a + 2q, ... contains an infinite number of primes provided only that a and q are relatively prime. Corresponding results for non-linear polynomial sequences (n^2 + 1, for example) are almost certainly true but remain unproved. Sieves are combinatorial devices for counting, in a given integer sequence, elements having very few prime factors. In combination with analytic means, these devices have had considerable success in recent years in a variety of contexts ranging from measuring gaps between consecutive primes to Fermat's Last Theorem. Outstanding unsolved problems include the Riemann hypothesis on the location of the zeros of the Riemann zeta function and the conjecture that there exist an infinite number of "twin primes" p and p + 2.

35. UNIS - External Resources K12 math, advanced math from Pennsylvania State University math tutorialsand topics on solved and unsolved problems for upper secondary levels are http://www.unis.org/resources/

Calendar Admissions Curriculum Tutorial House ... Technology Office There are currently 86 resources listed from our database below. If you would like to submit an educational resource to be listed on this page, please email unis@unis.org for consideration. Topic Website Description K-12 Math FunBrain Math Batter up, play a little math baseball and test your math smarts at all levels with this mind exercising site. K-12 Math Mega-Math Get hands-on exploration of all things math with this interactive site provided by the Los Alamos National Laboratory. K-12 Math Math Projects The Math Journal offers tips, lesson plans for interactive projects, and also includes advice from educators around the globe. Geography Geography World Geography World features a large collection of resources and links for geography teachers and students at all levels. It covers things like erosion, ecosystems, population, and conservation. Geography Puzzles of the Earth Puzzles of the Earth is an interactive site that has lots of great information including lessons on plate tectonics, geographic features, the Earth's structure and much more. Geography National Geographic Xpeditions National Geographic's "Xpeditions" page is an awesome resource for the geography classroom. The beautifully designed site boasts interactive maps, tours and activities as well as teaching standards.

36. Mathematics For Undergraduates in research toward solving unsolved problems and creating original mathematics . First, they have the opportunity to learn advanced mathematics, http://www.math.wayne.edu/ugrad/

Mathematics for Undergraduates at Wayne State University Faculty Small Class Sizes Technology Careers in Math ... Advanced Courses for Non-Majors Why Study Mathematics? Whether you plan to go into a career in Art, Business, Engineering, Law, Medicine, the Sciences , Social Work or Teaching, mathematics will play a role in your education, in your career, and in your life. A strong background in mathematics is needed to study any scientific or technical subject, but many other subject areas require a firm grasp of mathematical concepts. In addition, studying mathematics helps you to learn to organize information, develop skill as a problem solver, and to increase your ability to evaluate facts and make informed decisions. Why Major in Mathematics? One of the best reasons to major in mathematics is that it opens the door to a wide variety of careers. (The other side of this coin is that not studying mathematics may mean that some doors, and therefore some career options, will be closed to you.) Employers in many non-technical fields often favor hiring a person who has a degree in mathematics because they know that the individual has developed higher-level thinking skills that will serve them well in the working environment. What Career Opportunities Are Available For Mathematics Majors?

37. Not Even Wrong » Blog Archive » Witten On CNN Moreover, the noncritical string theory has unsolved problems. in the lastdecade, advanced math developed in other fields of science by Prigogine and http://www.math.columbia.edu/~woit/wordpress/?p=211

38. Calculus@Internet Calculus@Internet advanced Mathematics unsolved problems unsolvedMathematics problems This evolving collection of unsolved mathematics problems http://www.calculus.net/ci2/search/?request=category&code=CA&off=0&tag=920043892

39. Clay Mathematics Institute the Institute for advanced Study at Princeton, and at Cambridge University . These questions described are among the most important unsolved problems http://www.claymath.org/annual_meeting/2000_Millennium_Event/Video/

Clay Mathematics Institute Dedicated to increasing and disseminating mathematical knowledge HOME ABOUT CMI PROGRAMS AWARDS ... PUBLICATIONS Videos of 2000 Millennium Event Videos of the 2000 Millennium event are available online and in VHS format from Springer-Verlag. Contents: (1) Keynote lecture by Timothy Gowers, (2) Lecture by John Tate on the Millennium Problems, (3) Lecture by Michael Atiyah on the Millennium Problems. Springer Videos The Millennium Meeting Collection: A box set of four videos (described below) Order in US Order in Europe The Millennium Prize Problems: A Lecture by Michael Atiyah Order in US Order in Europe The Clay Mathematics Institute (CMI) announced the Millennium Prize Problems to mark the 100th anniversary of David Hilbert's lecture at the second International Congress of Mathematicians. Hilbert's blueprint for mathematics was more influential in setting the direction for 20th century mathematics than any other single event. The Millennium Prize Problems were set forth by two of the greatest mathematicians of the twentieth century: John Tate and Michael Atiyah. Sir Michael Atiyah is emeritus at the University of Edinburgh, has been Professor at Oxford, the Institute for Advanced Study at Princeton, and at Cambridge University. He is a recipient of the Fields Medal, is former Master of Trinity College Cambridge, and is past president of the Royal Society. Atiyah's work revolutinized mathematics in the twentieth century by unifying the disciplines of analysis, topology, and geometry.

40. Bb Scholar Links range from interactive math games to guides for using technology in unsolved mathematics problems This collection is maintained at the Web site http://resources.blackboard.com/scholar/sa/179/portal.jsp

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