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Topic: Areas of mathematics

	Mathematics - Wikipedia, the free encyclopedia
		Mathematics is used throughout the world in fields such as science, engineering, medicine and economics.
		Nonetheless mathematics is often imagined to be (as far as its formal content) nothing but set theory in some axiomatization, in the sense that every mathematical statement or proof could be cast into formulas within set theory.
		While some in applied mathematics feel that they are scientists, those in pure mathematics often feel that they are working in an area more akin to logic and that they are, hence, fundamentally philosophers.
	en.wikipedia.org /wiki/Mathematics (3466 words)

	Areas of mathematics - Wikipedia, the free encyclopedia
		The aim of this page is to list all areas of modern mathematics, with a brief explanation about their scope and links to other parts of this encyclopedia, set out in a systematic way.
		The way research-level mathematics is internally organised is mostly determined by practitioners, and does change over time; this is in contrast with the apparently timeless syllabus divisions used in mathematics education, where calculus can seem to be much the same over a time scale of a century.
		The American Mathematical Society's Mathematics Subject Classification (2000 edition) has been used as a starting point to ensure all areas are covered, and related areas are close together.
	en.wikipedia.org /wiki/Areas_of_mathematics (1376 words)

	Illinois Learning Standards for Mathematics
		Mathematics is a language we use to identify, describe and investigate the patterns and challenges of everyday living.
		Mathematics is much more than a collection of concepts and skills; it is a way of approaching new challenges through investigating, reasoning, visualizing and problem solving with the goal of communicating the relationships observed and problems solved to others.
		Knowledge of mathematics and the ability to apply math skills to solve problems can be an empowering force for all students—both while in school and later in their lives.
	www.isbe.net /ils/math/standards.htm (1042 words)

	University of Wisconsin-La Crosse Mathematics Department
		Emphasis is on using mathematical reasoning, explaining concepts, justifying statements with informal logical arguments, developing mathematical models and integrating knowledge from different areas of mathematics as appropriate for middle school mathematics.
		Emphasis is on using mathematical reasoning, explaining processes, describing and modeling real-world phenomena and integrating knowledge from different areas of mathematics as appropriate for middle school mathematics.
		Emphasis is on using mathematical reasoning, explaining concepts, interpreting probabilities, applying both experimental and theoretical techniques to solve problems and integrating knowledge from different areas of mathematics as appropriate for middle school mathematics.
	www.uwlax.edu /mathematics/curriculum/MiddleSchoolCertificate.html (841 words)

	Algebraic Areas of Mathematics
		We have included here the combinatorial topics and number theory; each is arguably a distinctive area of mathematics but (as the MathMap suggests) these parts of mathematics, shown in shades of red, share definite affinities.
		The use of algebra is pervasive in mathematics.
		Of particular interest are several classes of rings of interest in number theory, field theory, algebraic geometry, and related areas; however, other classes of rings arise, and a rich structure theory arises to analyze commutative rings in general, using the concepts of ideals, localizations, and homological algebra.
	www.math.niu.edu /~rusin/known-math/index/tour_alg.html (1113 words)

	UCLA Math: Applied Mathematics (Site not responding. Last check: 2007-09-10)
		Applied mathematics is a field of growing importance with strong links to other areas of mathematics, to computer sciences and to applications.
		The strengths of the UCLA applied mathematics faculty are in differential equations, numerical analysis, scientific computing, and in applications to fluid flow, material science, geophysics, and image science.
		Math 142 (Mathematical Modeling) is recommended as an introduction for those who have limited exposure to mathematical modeling, and Math 270 is recommended for those with limited exposure to the techniques of scientific computing.
	www.math.ucla.edu /grad_programs/faculty/research_areas/applied.html (410 words)

	Mathematics Fact Sheet
		This wide variety of areas of specialization and expertise of faculty members in the department means that you will probably find someone both interested and knowledgeable in any area of mathematics that might fascinate you.
		The mathematics education major requires 37 credits and emphasizes those areas of mathematics and related disciplines that have proven most useful for secondary school teachers.
		In addition, there are cooperative double majors in mathematics and computer science, mathematics and physics, and mathematics and statistics which take advantage of the overlap of requirements and give the student a broader background, thus opening a wider range of career possibilities.
	www.ndsu.edu /ndsu/academic/factsheets/sci_math/math.shtml (786 words)

	Seattle University Mathematics Department
		As Mathematics majors, students learn to communicate precisely and logically, to discover patterns in various areas of mathematics, and to apply this knowledge within and outside mathematics.
		The bachelor of science in mathematics degree has two tracks, one in pure mathematics and one in applied mathematics, and prepares students for graduate study in any area of mathematics.
		In particular, we seek to develop in our students the level of mathematical competence appropriate for their educational goals, to foster appreciation of mathematics as part of human culture, to provide a climate conducive to intellectual growth of students and faculty, and to prepare and inspire students to the service of others.
	www.seattleu.edu /scieng/math (269 words)

	Mathematics Department
		The major and minor programs in mathematics are designed to provide the knowledge and skills necessary to pursue graduate study or to support career goals in a range of professions.
		To complete a major in mathematics, students take nine required courses that provide a thorough foundation in several central areas of mathematics, a course in structured programming, and a minimum of three advanced courses chosen to give special depth in at least one area.
		Because of the sequential nature of the study of mathematics, students should meet with the department's advisement coordinator as soon as possible to declare a major or minor, be assigned a departmental advisor, and begin planning a sound academic program.
	www.brockport.edu /math (279 words)

	Warwick Mathematics Institute – Research Areas
		Mathematical Biology is an active and growing research area in the Mathematics Institute, and Warwick in general.
		Mathematical immunology, epidemiology, ecology and genetics are the main areas in the department, exploiting mathematical techniques from both the deterministic (ODEs, PDEs) and stochastic arenas.
		Matt Keeling is using mathematical models to understand the roles of spatial heterogeneity and stochasticity in population dynamics.
	www.maths.warwick.ac.uk /research/research_areas/math_bio.html (486 words)

	Programs & Services : Curriculum & Assessment : Mathematics
		Mathematics education in Vermont is currently centered on the Mathematics Grade Expectations (GEs).
		Mathematics GEs are organized into five areas: arithmetic, number and operations; geometry and measurement; functions and algebra; and data, statistics and probability; and mathematical problem solving and reasoning.
		The Vermont Mathematics Initiative is a comprehensive three-year master’s degree granting program designed to train elementary teachers to serve as mathematics leaders in their schools and districts.
	www.state.vt.us /educ/new/html/pgm_curriculum/mathematics.html (742 words)

	RBS :: Subject Areas :: Mathematics (Site not responding. Last check: 2007-09-10)
		Mathematics is one of the subject areas selected for primary emphasis in the NCLB Adequate Yearly Progress requirements for schools and districts.
		AAAS views mathematics as a part of science, and in their Project 2061's Benchmarks for Science Literacy there are statements/standards of what all students should know or be able to do in science, mathematics, and technology by the end of grades 2, 5, 8, and 12.
		The NAP was created to publish reports prepared by the National Academies of Sciences and Engineering, the Institute of Medicine, and the National Research Council, all operating under a charter granted by the Congress of the United States and created to be advisory bodies.
	www.rbs.org /subject_areas/mathematics.php (1272 words)

	University of Dallas - Mathematics Home
		Much of mathematics has its roots in science but the spirit of mathematical inquiry is not bound to any specific area.
		The precise use of language and logic characteristic of mathematics is developed in the courses which the student may select to meet the core requirement.
		There are many areas of mathematics from which the student may choose.
	www.udallas.edu /math (212 words)

	Graduate Program in Mathematics: Areas of Interest
		Students who choose systems and control theory as their area of specialization are also encouraged to take a number of courses in closely related subjects such as ordinary differential equations, stochastic processes, and numerical analysis.
		Discrete mathematics is a rapidly growing branch of modern mathematics, which includes such fields as combinatorics, graph theory, and operations research.
		Doron Zeilberger (algebraic and enumerative combinatorics, experimental mathematics).
	www.math.rutgers.edu /grad/interests.html (4524 words)

	Illinois Institute of Technology - Applied Mathematics Department - Research Areas
		The research and teaching foci of the Department of Applied Mathematics at IIT are primarily in four areas of modern applied mathematics.
		Discrete applied mathematics is a fairly young branch of mathematics and is concerned with using combinatorics, graph theory, optimization, and portions of theoretical computer science to attack problems in engineering as well as the hard and soft sciences.
		Research interests in the discrete applied mathematics group at IIT are in discrete methods in computational and mathematical biology, intersection graphs and their applications, discrete location theory, voting theory applied to data analysis, graph drawing, random geometric graphs, communication networks, coding theory, low discrepancy sequences, algorithm design & analysis.
	www.amath.iit.edu /about/research.html (657 words)

	International Mathematics Olympiad
		The Bay Area Mathematical Olympiad (BAMO) is a contest for high school students sponsored jointly by the Mathematical Sciences Research Institute (MSRI), the American Institute of Mathematics (AIM), the University of California at Berkeley (UCB), and the University of San Francisco (USF).
		The Colorado Mathematical Olympiad (CMO) is the largest essay-type mathematical competition in the United States, with 600 to 1,000 participants competing annually for fine prizes.
		The Olimpíada Matemática Argentina (OMA) is the Argentinian Mathematics Olympiad.
	olympiads.win.tue.nl /imo (2151 words)

	Mathematics
		The program leading to the bachelor of science in Mathematics is designed to prepare students for graduate study, secondary teaching, or a career in mathematics or a mathematically-related field.
		The courses required for the major provide a solid foundation in the major areas of mathematics, while giving students the flexibility to study topics pertinent to their career goals.
		Mathematics for Teachers II The continuation of a course designed to give prospective teachers an understanding of the underlying concepts of fundamental mathematics while encouraging independent problem solving.Topics include geometry and spatial sense, statistics, probability, measurement, and estimation.
	www.desales.edu /default.aspx?pageid=306 (1197 words)

	Analytic areas of mathematics (Site not responding. Last check: 2007-09-10)
		One might characterize algebra and geometry as the search for elegant conclusions from small sets of axioms; in analysis on the other hand the measure of success is more frequently the ability to hone a tool which could be applied throughout science.
		Mathematical Analysis includes many of the MSC primary headings, a large portion of the mathematics literature, and much of the most directly applicable mathematics.
		Perhaps, then, it is appropriate to subdivide this topic; although schemes for this subdivision are not very standard, we may identify five neighborhoods in the "MathMap", shown here in varying shades of green.
	www.math.niu.edu /~rusin/known-math/index/tour_ana.html (307 words)

	Undergraduate Programs
		To provide the mathematics student with as much flexibility as possible, the departmental requirements for the A.B. and B.S. degrees, in addition to the general requirements set by the College of Arts and Sciences, are 50 hours in courses numbered 200 and higher, of which 16 hours must be numbered 306 or higher.
		A student studying mathematics with the intention of eventually doing graduate work in mathematics would normally complete courses in calculus, matrix and/or abstract algebra, intermediate analysis, and linear algebra, followed by upper level sequences in advanced calculus, abstract algebra, or topology.
		A student wishing to use mathematics training in business or industry may wish to select lower division courses such as calculus, finite mathematics, and linear algebra, and chose upper level courses in statistics, numerical analysis, and linear and nonlinear programming.
	www.math.ohiou.edu /math/programs/undergrad.html (671 words)

	Research Areas - UC Berkeley Mathematics
		The principal areas of research in geometry involve symplectic, riemannian, and complex manifolds, with applications to and from combinatorics, classical and quantum physics, ordinary and partial differential equations, and representation theory.
		The UC Berkeley Department of Mathematics encourages its faculty and students not only to study mathematics for its own sake, but also to explore the applications of mathematics in the sciences and in engineering.
		Faculty and students interested in the applications of mathematics are an integral part of the Department of Mathematics; there is no formal separation between pure and applied mathematics, and the Department takes pride in the many ways in which they enrich each other.
	math.berkeley.edu /research.html (713 words)

	Mathematics Archives - K12 Internet Sites
		The Hub is an Internetworked resource for mathematics and science education funded by the Eisenhower Regional Consortia and operated by TERC on behalf of the Regional Alliance for Mathematics and Science Education Reform.
		Mathematical Mayhem is a non-profit mathematical journal written by and for high school and undergraduate university students.
		Mathematics in Context (MiC) is an NSF-funded, comprehensive middle-school mathematics curriculum for grades 5-8 that reflects the philosophy and pedagogy of the NCTM standards.
	archives.math.utk.edu /k12.html (9864 words)

	DARPA Defense Sciences Office - Focus Areas in Theoretical Mathematics (FAThM) (Site not responding. Last check: 2007-09-10)
		The Focus Areas in Theoretical Mathematics (FAThM) Program aims to foster major theoretical breakthroughs in pure mathematics whose potential for long-term defense implications is high.
		The fundamental mathematics developed in this program is expected to have broad significance in basic science and several avenues of possible long-term defense impact, including quantum algorithms and devices; cryptography; fast structured algorithms for signal/image processing and other DoD-critical applications; and high-density data coding.
		Additionally, this program is engaging a community of premier theoretical mathematicians and mathematical physicists in DoD-sponsored research, creating a new resource for defense science and fostering infusion of leading-edge theoretical research into national security applications.
	www.darpa.mil /dso/thrust/math/fathm.htm (284 words)

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