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Topic: Sequence (mathematics)

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	Undergraduate Program in Mathematics at Illinois State University
		The Department of Mathematics currently offers four sequences within our major, a Mathematics sequence that incorporates the foundations of mathematics, a Secondary Mathematics Education sequence to prepare students to become secondary mathematics teachers, a sequence for Actuarial Science, and an interdisciplinary Statistics sequence.
		Mathematics sequence is designed to meet the curricular guidelines of national mathematics organizations while giving the student the flexibility to further explore other aspects of mathematics or related areas while working toward their degree.
		Secondary Mathematics Education sequence is one of the largest in the country and is recognized for its excellence at the state and national levels.
	www.math.ilstu.edu /undergrad (429 words)

	Sequence - Wikipedia, the free encyclopedia
		In mathematics, a sequence is a list of objects (or events) arranged in a "linear" fashion, such that the order of the members is well defined and significant.
		A subsequence of a given sequence is a sequence formed from the given sequence by deleting some of the elements without disturbing the relative positions of the remaining elements.
		If the terms of the sequence are a subset of a ordered set, then a monotonically increasing sequence is one for which each term is greater than or equal to the term before it; if each term is strictly greater than the one preceding it, the sequence is called strictly monotonically increasing.
	en.wikipedia.org /wiki/Sequence (636 words)

	AllRefer.com - sequence (Mathematics) - Encyclopedia
		A sequence is said to be known if a formula can be given for any particular term using the preceding terms or using its position in the sequence.
		A sequence may be either finite, e.g., 1, 2, 3, … 50, a sequence of 50 terms, or infinite, e.g., 1, 2, 3, …, which has no final term and thus continues indefinitely.
		The terms of a sequence, when written as an indicated sum, form a series; e.g., the sum of the sequence 1, 2, 3, … 50 is the series 1 + 2 + 3 + … + 50.
	reference.allrefer.com /encyclopedia/S/sequence.html (261 words)

	Limit (mathematics) - Wikipedia, the free encyclopedia
		In mathematics, the concept of a "limit" is used to describe the behavior of a function, as its argument gets "close" to either some point, or infinity; or the behavior of a sequence's elements, as their index approaches infinity.
		The concept of the "limit of a function" is further generalized to the concept of topological net, while the limit of a sequence is closely related to limit and direct limit in category theory.
		On one hand, the limit of a sequence is simply the limit at infinity of a function defined on natural numbers.
	en.wikipedia.org /wiki/Limit_(mathematics) (575 words)

	Course Descriptions (Site not responding. Last check: 2007-11-01)
		Applied mathematics emphasizes applications of mathematics and is designed for students intending to pursue a certificate or diploma program at a college or technical institute or to enter the work world after high school.
		A sequence of courses designed both for students intending to pursue a degree program at a college or university or a diploma at a college or technical institute in biology oriented disciplines - botany, zoology, health sciences, agriculture, forestry.
		A sequence of courses designed both for students intending to pursue a degree program at a college or university in science oriented disciplines - with the exception of mathematics and computing science - or a diploma program at a college or technical institute in chemistry oriented disciplines - health sciences, agriculture, forestry, biological/environmental sciences.
	www.wrsd.ca /fmhs/courses.htm (2013 words)

	UCSMP: Everyday Mathematics
		The goal of this on-going project is to significantly improve the mathematics curriculum and instruction for all school children in the U.S. Development of Everyday Mathematics began with a research phase.
		Mathematics is more meaningful when it is rooted in real life contexts and situations, and when children are given the opportunity to become actively involved in learning.
		Everyday Mathematics is the result of a rich collaboration between the University of Chicago School Mathematics Project author team, distinguished mathematicians, education specialists, teachers-in-residence, and hundreds of classroom teachers.
	everydaymath.uchicago.edu /about.shtml (1047 words)

	Constructive Mathematics
		Mathematics arises when the subject of two-ness, which results from the passage of time, is abstracted from all special occurrences.
		Normally, a sequence in constructive mathematics is given by a rule which determines, in advance, how to construct each of its terms; such a sequence may be said to be lawlike or predeterminate.
		However, the comparison with classical mathematics should not be made superficially: in order to understand that there is no real contradiction here, we must appreciate that the meaning of such terms as “function” and even “real number” in intuitionistic mathematics is quite different from that in the classical setting.
	plato.stanford.edu /entries/mathematics-constructive (6375 words)

	ACC Mathematics Courses -- Flow Charts
		Just as the sequence in each chart indicates the course prerequisite, the colors indicate the required assessment score to begin the sequence at that course.
		Most students do not start at the beginning of a sequence because they remember some of the mathematics from their high school courses and demonstrate that on the ACC Assessment Test or the equivalent.
		Once you start a sequence, you may not skip courses in the sequence based on re-testing unless you are advised to do so by a full-time mathematics instructor acting as a mathematics advisor.
	www.austin.cc.tx.us /mparker/advising/flow.htm (1004 words)

	Undergraduate Mathematics Program: Honors Sequence
		The Honors Sequence in Mathematics is for highly motivated and mathematically talented freshmen and sophomores who are interested in mathematics, engineering, and sciences.
		The five-semester sequence rapidly introduces students to the rigorous and abstract thought processes of higher mathematics.
		The honors courses count towards the Mathematics Major and Minor.
	www.math.uiuc.edu /UndergraduateProgram/curricula/honors_sequence.html (679 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		The requirements for a degree in mathematics or in applied mathematics express the educational intent of the Department of Mathematics; they are drawn with an eye toward the cumulative character of an education based in mathematics, the present emerging state of mathematics, and the scholarly and professional prerequisites of an academic career in mathematics.
		Students taking a bachelor's degree in mathematics or in applied mathematics should know that by judicious employment of courses from another field for extradepartmental requirements or for electives, a minor field can be developed which is often in itself a sufficient base for graduate or professional work in that field.
		With the help of placement tests and honors sequences, able students can be engaged in 300-level Mathematics (usually Mathematics 312-313-314) as early as their third year and, through an appropriate use of free electives, can complete the master's requirements by the end of their fourth year.
	www2-college.uchicago.edu /catalog95-96/Math.95.html (2456 words)

	Integrated Mathematics in LAUSD
		In California, the integrated mathematics option refers specifically to an alternative to the algebra 1, geometry, algebra 2 secondary sequence wherein districts are allowed to provide the same content but in a different sequence over three years.
		The new California Mathematics Standards and the Mathematics Framework require a mixture of topics from the strands of mathematics for all students in grades K-7.
		A successful mathematics assessment is an SAT math score of 550 or a passing score on the ELM.
	www.mathematicallycorrect.com /la.htm (1660 words)

	Calculus_plan_95
		Our calculus sequence serves as our introductory mathematics sequence, and we attempt to convince as many students as possible to study calculus and to entice as many calculus students as possible to major or minor in mathematics.
		The main disadvantages of having a single introductory mathematics sequence emphasizing calculus are that students may not get an accurate view of the nature and scope of mathematics and some students may not have the opportunity to study the type of mathematics that appeals most to them.
		Most importantly, we want our mathematics students to develop enough ability, confidence, and enthusiasm not only to continue to the next mathematics course, whatever it may be, but to continue to learn and use mathematics throughout their lives.
	newton.uor.edu /FacultyFolder/Beery/Calculus_95.html (3541 words)

	[No title]
		Mathematics is classified with both the humanities and the sciences.
		Departments in a variety of fields which use mathematics, including some in the social and biological sciences as well as in engineering and the physical sciences, are interested in attracting math majors into their graduate programs.
		The Math 221-222 sequence is the first two semesters of the standard three-semester calculus sequence, completed with 234, which is normally required for all higher level math courses and should be taken by those preparing for major study in mathematics, the physical sciences, computer sciences, or engineering.
	www.wisc.edu /pubs/ug/10lettsci/depts/math.html (5050 words)

	[No title]
		Students are required to complete both a 10000-level sequence in calculus (or to demonstrate equivalent competence on the calculus placement test) and a three-quarter sequence in analysis (Mathematics 20300-20400-20500 or 20700-20800-20900), and two quarters of a sequence in algebra (Mathematics 25400-25500 or 25700-25800).
		Students taking a bachelor's degree in mathematics or in applied mathematics should note that by judicious employment of courses from another field for extradepartmental requirements or for electives, a minor field can be developed that is often in itself a sufficient base for graduate or professional work in their field.
		Algebra courses: Mathematics 24100, 24200, 25700, 25800, 25900, 27700, 27800, 28400, 32500, 32600, 32700
	www.math.uchicago.edu /undergrad/concentration.html (1618 words)

	Mathematics and Computer Education: Pell sequence, The
		The Pell sequence has many interesting properties, some of which are analogous to properties of the Fibonacci sequence [3].
		The Pell sequence, with so many patterns and identities, is appropriate as a project for undergraduates.
		Such projects may be extended to investigate the general Fibonacci-like sequence defined by a^sub n+1^ = ka^sub n^ + a^sub n-1^, a^sub 0^ = 0, a^sub 1^ = 1 and k is a positive integer.
	www.findarticles.com /p/articles/mi_qa3950/is_200201/ai_n9070665 (438 words)

	MATHEMATICS
		MATH 318 Linear Algebra (3) NW Introduction to the mathematical concepts, arguments, and proofs that occur in linear algebra.
		First quarter of a three-quarter sequence covering group theory; field theory and Galois theory; commutative rings and modules, linear algebra, theory of forms; representation theory, associative rings and modules; commutative algebra and elementary algebraic geometry.
		First quarter of a two-quarter sequence covering the basic theory of affine and projective varieties, rings of functions, the Hilber Nullstellensatz, localization, and dimension; the theory of algebraic curves, divisors, cohomology, genus, and the Riemann-Roch theorem; and related topics.
	www.washington.edu /students/crscat/math.html (5078 words)

	Furman Mathematics: Course Descriptions
		Mathematics 10 is the first of a two course sequence, Mathematics 10-11S.
		An examination of the ideas, concepts, and paradigms which have had significant influence on the growth of modern mathematical thought, with an emphasis on an appreciation for the creative side of mathematics and the fundamental role it has played in the development of modern civilization.
		Study of an area of mathematics of interest to the student that is not part of one of the listed courses.
	math.furman.edu /adviceinfo/descriptions.html (1259 words)

	[No title]
		] The integral of the limit of a monotone increasing sequence of nonnegative measurable functions is equal to the limit of the integrals of the functions in the sequence.
		A sequence of real-valued functions, defined on the same domain, that is either monotone-nondecreasing or monotone-nonincreasing.
		] An expansion of the Harvard sequence to include luminosity, whereby a roman numeral is appended to the Harvard class to indicate position on the Hertzsprung-Russell diagram: I for supergiant, II for bright giant, III for giant, IV for subgiant, and V for dwarf or main sequence.
	www.accessscience.com /Dictionary/M/M35/DictM35.html (2320 words)

	[No title]
		This two-quarter sequence emphasizes the utility of multivariable calculus and linear algebra in applications to the social and biological sciences.
		This sequence is the basis for all advanced courses in analysis and topology.
		Although the prerequisite is one year of calculus, this sequence is traditionally taken by student s after they have had a sequence in analysis.
	www.math.uchicago.edu /undergrad/Life.html (598 words)

	Mathematics (Site not responding. Last check: 2007-11-01)
		Admission to Honors Analysis (Mathematics 207) is by invitation only to those first-year students who show an exceptional performance on the calculus placement test or to those sophomores who receive a strong recommendation from their instructor in Mathematics 161-162-163.
		Algebra courses: Mathematics 241, 242, 257, 258, 259, 277, 278, 284, 325, 326, 327
		With the help of placement tests and honors sequences, able students can be engaged in 300-level Mathematics as early as their third year and, through an appropriate use of free electives, can complete the master's requirements by the end of their fourth year.
	www2-college.uchicago.edu /catalog99-00/htm/Math99.html (5295 words)

	Submit Sequence to On-Line Encyclopedia of Integer Sequences
		The standards are those of a mathematics reference work.
		I regret that because of the number of sequences received (an average of over 30 new sequences a day for the past 2 years, or 10000 a year), new sequences cannot be accepted unless they are in the internal format used in the database.
		Format the sequences yourself using the information in the help file.
	www.research.att.com /~njas/sequences/Submit.html (659 words)

	Portfolio Scope and Sequence - Mathematics Department
		It is recommended that you attend one of these meetings in your freshmen or sophomore year and then attend again at the beginning of the semester of your first portfolio submission.
		Student submits the portfolio to the Mathematics Department by noon of the Monday of the fourth week of the semester, of the semester s/he plans to apply for acceptance into the Teacher Education Program (TEP).
		This scope and sequence states portfolio requirements for Mathematics majors seeking teacher certification and supplements the portfolio information found in the Teacher Education Program General Handbook.
	www.wiu.edu /users/mfjro1/wiu/stu/advising/scope-n-sequence.htm (2072 words)

	Mathematics Magazine
		Problems and Solutions at International Mathematics Olympiad since the beginning to the 2003 edition.
		If you see something you like please tell others, if there's something you don't like please tell us!
		Developing a mathematical thinking is the first step in building the future generations of scientists and engineers that will solve the tomorrow's energy crisis or find new ways of solving the social problems without destroying the forest and preserving the environment for the future generations
	www.mathematicsmagazine.com (196 words)

	Mathematics
		Students must submit an individual plan for approval in advance by a mathematics department adviser, and all subsequent changes in the plan must be approved by a mathematics department adviser.
		Graduates of this program will be mathematically oriented computer scientists who have specialized in the mathematical aspects and foundations of computer science or in the computer applications of mathematics.
		Candidates should have a bachelor’s or master’s degree in mathematics or a related field from an accredited institution of higher education or the equivalent.
	www.ucsd.edu /catalog/curric/MATH.html (4153 words)

	ACC Mathematics Courses -- Flow Charts
		Sequence for mathematics, science, or engineering majors (including economics majors at UT Austin)
		UT encourages their engineering and math students to take a two-semester calculus sequence at UT (408C-408D) but they also offer a three-semester version of the course, and ACC's courses transfer as those: M408K-408L-408M.
		MATH 1351 Mathematics for Teacher Certification II * As prerequisite for their M316K/316L, UT Austin accepts M 302 (ACC MATH 1332 Topics in Math), M303D (ACC MATH 1324 Math for Bus and Eco), M316 (ACC MATH 1342 Elementary Statistics), or M305G (ACC MATH 2412 Precalculus).
	www.austin.cc.tx.us /mthdept2/advising/flow.htm (1281 words)

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