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All Undergraduate Math Courses
This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Description: Polynomials, exponents, Cartesian coordinate system, linear and quadratic equations, inequalities.
Offered: Either semester
Credits: 3
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Description: Five class periods. Not open for credit to students who have passed MATH 1010(110), or any Q course. Strongly recommended as preparation for Q courses for students whose high school algebra needs reinforcement.
The course emphasizes two components necessary for success in 1000-level courses which employ mathematics. The first component consists of basic algebraic notions and their manipulations. The second component consists of the practice of solving multi-step problems from other disciplines, called mathematical modeling. The topics include: lines, systems of equations, polynomials, rational expressions, exponential and logarithmic functions. Students will engage in group projects in mathematical modeling.
Offered: Either semester
Credits: 3
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Description: An introduction to the techniques used by mathematicians to solve problems. Skills such as Externalization (pictures and charts), Visualization (associated mental images), Simplification, Trial and Error, and Lateral Thinking learned through the study of mathematical problems. Problems drawn from combinatorics, probability, optimization, cryptology, graph theory, and fractals. Students will be encouraged to work cooperatively and to think independently.
Extra Information: http://www.math.uconn.edu/~tollefso/math102sum07
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent. Not eligible for course credit by examination. Not open for credit to students who have passed any mathematics course other than MATH 1010(101), 1030(103), 1070(105), 1040(107), 1050(108) or 1060(109).
Offered: Either semester
Credits: 3
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Description: Problem solving strategies, solutions of simultaneous linear equations, sequences, counting and probability, graph theory, deductive reasoning, the axiomatic method and finite geometries, number systems.
Prerequisites: Recommended preparation: MATH 1010(101) or equivalent. Not open for credit to students who have passed any MATH course other than MATH 1010(101), 1020(102), 1070(105), 1040(107), 1050(108) or 1060(109).
Offered: Either semester
Credits: 3
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Description: Use of algebraic and trigonometric functions with technology to analyze quantitative relationships and illustrate the role of mathematics in modern life; graphical numerical and symbolic methods. Most sections require a graphing calculator; some require work with a computer spreadsheet.
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent. Not open to students who have passed any MATH course other than MATH 1010(101), 1020(102), 1030(103), 1070(105), 1050(108). This course and MATH 1060(109) cannot be taken for credit. This course should not be considered as adequate preparation for MATH 1071(106), 1120(112), 1131(115), or 120.
Offered: Either semester
Credits: 3
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Description: An interdisciplinary approach to environmental issues, such as: ground water contamination, air pollution, and hazardous materials handling. Emphasis on mathematical models, social and ethical implications, and physical and chemical principles. Includes a spread sheet program for water and air pollution data; a computer modeling package to analyze hazardous materials emergencies; creative use of the internet and field research.
Extra Information: http://www.math.uconn.edu/~glaz/math108/
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent.. A solid background and good performance in high school algebra are highly recommended.
Offered: Either semester
Credits: 3
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Description: Preparation for calculus. Review of algebra. Functions and their applications; in particular, polynomials, rational functions, exponentials, logarithms and the trigonometric functions.
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent. Not open for credit to students who have passed MATH 1120(112), 1131(115), or 120. Students may not recieve credit for this course and MATH 1040(107).
Offered: Either semester
Credits: 3
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Description: Linear equations and inequalities, exponents and logarithms, matrices and determinants, linear programming. Applications.
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent.
Offered: Either semester
Credits: 3
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Description: Derivatives and integrals of algebraic, exponential and logarithmic functions. Functions of several variables. Applications.
Extra Information: http://www.math.uconn.edu/~tollefso/math106sum07
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent.
Offered: Either semester
Credits: 3
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Description: Derivatives and integrals of elementary functions including the exponential and logarithm functions; applications include optimization, marginal functions, exponential growth and decay, compound interest.
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent. Not open for credit to students who have passed MATH 1071(106), 1121(113), 1131(115), or 120.
Offered: Either semester
Credits: 3
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Description: Limits, derivatives, and extreme values of algebraic functions, with supporting algebraic topics.
Prerequisites: Recommended preparation: MATH 1010(101) or the equivalent. Students cannot receive credit for MATH 1120(112) and either MATH 1131(115) or MATH 120. Students who have not passed the Calculus Readiness Test take this course rather than MATH 1130(115) or MATH 120.
Offered: Either semester
Credits: 4
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Description: Limits, derivatives, and extreme values of trigonometric functions, with supporting trigonometric topics; anti-derivatives of algebraic and trigonometric functions; the definite integral and applications
Extra Information: http://www.math.uconn.edu/~tollefso/math113f05
Prerequisites: MATH 1120(112). Recommended preparation: A grade of C- or better in MATH 1120(112). Students cannot receive credit for MATH 1121(113) and either MATH 1131(115) or MATH 120. May be used in place of MATH 1131(115) or 120 to fulfill any requirement satisfied by MATH 1131(115) or 120.
Offered: Either semester
Credits: 4
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Description: The transcendental functions, formal integration, polar coordinates, infinite sequences and series, lines and planes in three dimensions, vector algebra.
Extra Information: http://www.math.uconn.edu/~tollefso/math114f05
Prerequisites: MATH 1121(113). Recommended preparation: A grade of C- or better in MATH 1121(113). Note: MATH 1131(115) is not adequate preparation for MATH 1131(114). Not open for credit to students who have passed MATH 1132(116) or 121.
Offered: Either semester
Credits: 4
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Description: Limits, derivatives, and extreme values of algebraic, trigonometric, exponential and logarithmic functions, with supporting algebraic topics. Math 1125Q covers the content of approximately the first half of Math 1131Q.
Offered: Either semester
Credits: 3
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Description: Limits, continuity, differentiation, antidifferentiation, definite integrals, with applications to the physical and engineering sciences. Sections with V credit integrate computer-laboratory activity.
Extra Information: http://www.math.uconn.edu/~tollefso/math115f07/
Prerequisites: Passing score on the Calculus Readiness Test. Students cannot receive credit for MATH 1131(115) and either MATH 1120(112), 1121(113), or 120. Suitable for students with some prior calculus experience. May be used in place of MATH 1120(112) or 120 to fulfill any requirement satisfied by MATH 1120(112) or 120.
Offered: Either semester
Credits: 4
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Description: Transcendental functions, formal integration, polar coordinates, infinite sequences and series, vector algebra and geometry, with applications to the physical sciences and engineering. Sections with V credit integrate computer-laboratory activity.
Prerequisites: MATH 1121(113) or 1131(115) or 120, or advanced placement credit for calculus (a score of 4 or 5 on the Calculus AB exam or a score of 3 on the Calculus BC exam). Recommended preparation: A grade of C- or better in MATH 1121(113) and 1131(115). Not open to students who have passed MATH 1122(114) or MATH 121. Substitutes for MATH 1122(114) or 121 as a requirement.
Offered: Either semester
Credits: 4
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Description: First semester. Four credits. Students cannot receive credit for MATH 1151(135) and either MATH 1121(113), 1131(115), or 120. May be used in place of MATH 1131(115) to fulfill any requirement satisfied by MATH 1131(115).
Prerequisites: Passing score on the Calculus Placement Survey
Offered: Fall
Credits: 4
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Description: Both semesters. Four credits. The subject matter of MATH 1132(116) in greater depth, with emphasis on the underlying mathematical concepts.
Prerequisites: MATH 1151(135) or advanced placement credit for calculus (a score of 4 or 5 on the calculus AB examination or a score of 3 on the Calculus BC examination) or consent of instructor.
Offered: Both semesters
Credits: 4
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Description: May be repeated for credit (to a maximum of 15 for MATH 1793(193) and 3793(293) together). Consent of the Department Head or Undergraduate Coordinator required, normally before the student's departure.
Offered: Either semester
Credits: By arr.
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Description: Changes each semester.
Prerequisites: Recommended preparation: MATH 1010 or equivalent. May be repeated for credit with a change in topic.
Offered: Either semester
Credits: By arr.
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Description: The development of the number system with applications to elementary number theory and analytic geometry. This course is recommended for students in elementary education.
Prerequisites: PSYC 1100 and three credits of Mathematics other that MATH 1010(101). Not open for credit to students who have passed MATH 2110(210), 2410(211), 220 or 2130Q(230Q), or 2143Q(245Q).
Offered: Fall
Credits: 3
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Description: The development of the number system with applications to elementary number theory and analytic geometry. This course is recommended for students in elementary education.
Prerequisites: PSYC 1100 and three credits of Mathematics other that MATH 1010(101). Not open for credit to students who have passed MATH 2110(210), 2410(211), 220 or 2130Q(230Q), or 2143Q(245Q).
Offered: Spring
Credits: 3
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Description: Two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals.
Prerequisites: MATH 1132Q(116Q), or 121 or a score of 4 or 5 on the Advanced Placement Calculus BC exam. Recommended preparation: A grade of C- or better in MATH1132Q(116Q). Not open for credit to students who have passed MATH 220 or 2130Q or 2143Q.
Offered: Both semesters
Credits: 4
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Description: Honors Multivariable Calculus
The subject matter of MATH 2110(210) in greater depth, with emphasis on the underlying mathematical concepts.
Prerequisites: MATH 1152(136) or advanced placement credit for one year of calculus (a score of 4 or 5 on the Calculus BC examination) or consent of instructor. Open to sophomores or higher. Not open to students who have passed MATH 2110(210) or 2143(245). May be used in place of MATH 2110(210) to fulfill any requirement satisfied by MATH 2110(210).
Offered: Both semesters
Credits: 4
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Description: A rigorous treatment of the mathematics underlying the main results of one-variable calculus. Intended for students with strong interest and ability in mathematics who are already familiar with the computational aspects of basic calculus. (May be taken for honors credit but open to any qualified student.)
Prerequisites: A year of calculus (that may include high school) and instructor consent. MATH 2141Q(243Q) may be used in place of MATH 1131Q(115Q) or 1151Q(135Q) to fulfill any requirement satisfied by MATH 1131Q(115Q) or 1151Q(135Q). MATH 244Q may be used in place of MATH 1132Q(116Q) or 1152Q(136Q) to fulfill any requirement satisfied by MATH 1132Q(116Q) or 1152Q(136Q).
Offered: Fall
Credits: 4
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Description: A rigorous treatment of the mathematics underlying the main results of one-variable calculus. Intended for students with strong interest and ability in mathematics who are already familiar with the computational aspects of basic calculus. (May be taken for honors credit but open to any qualified student.)
Prerequisites: A year of calculus (that may include high school) and instructor consent. MATH 2784(243Q) may be used in place of MATH 1131(115) or 1151(135) to fulfill any requirement satisfied by MATH 1131(115) or 1151(135). MATH 244Q may be used in place of MATH 1132(116) or 1152(136) to fulfill any requirement satisfied by MATH 1132(116) or 1152(136).
Offered: Spring
Credits: 4
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Description: A rigorous treatment of more advanced topics, including vector spaces and their application to multivariable calculus and first-order, second-order and systems of differential equations. (May be taken for honors credit but open to any qualified student.)
Prerequisites: MATH 2143(244) or consent of instructor. MATH 2143(245) may be used in place of MATH 2110(210) to fulfill any requirement satisfied by MATH 2110(210).
Offered: Fall
Credits: 4
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Description: A rigorous treatment of more advanced topics, including vector spaces and their application to multivariable calculus and first-order, second-order and systems of differential equations. (May be taken for honors credit but open to any qualified student.)
Prerequisites: MATH 2143(245) or consent of the instructor. MATH 2144(246) may be used in place of MATH 2410(211) to fulfill any requirement satisfied by MATH 2410(211).
Offered: Spring
Credits: 4
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Description: Weekly seminars and short essays reflecting on the learning experiences and content of MATH 2110(210).
Prerequisites: ENGL 1010 or 1011 or 3800. There is also a corequisite: MATH 2110Q(210Q).
Offered: Either semester
Credits: 1
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Description: Systems of equations, matrices, determinants, linear transformations on vector spaces, characteristic values and vectors, from a computational point of view. The course is an introduction to the techniques of linear algebra with elementary applications.
Prerequisites: MATH 1132(116), 1152(121 or 136), 2142(244). Recommended Preparation: grade of C- or better in MATH 1132(116). Not open for credit to students who have passed MATH 3210(215).
Offered: Either semester
Credits: 3
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Description: A fresh look at geometry, old and new. Euclidean and non-Euclidean geometries are examined from from different perspectives. Topics may include symmetries, the role of the parallel postulate and some topics from 19th and 20th century geometry, e.g. fractals and knots.
Prerequisites: MATH 1121(113) or 1131(115) or 120. MATH 1121(113) may be taken concurrently.
Offered: Either semester
Credits: 3
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Description: Introduction to ordinary differential equations and their applications, linear differential equations, systems of first order linear equations, numerical methods.
Prerequisites: MATH 1132(116), or 121. Recommended preparation: A grade of C- or better in MATH 1132(116); and MATH 2110(210) or 220. Not open for credit to students who have passed MATH 2420(221). Open to sophomores or higher.
Offered: Either semester
Credits: 3
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Description: The subject matter of MATH 2410(211) in greater depth, with emphasis on the underlying mathematical concepts.
Offered: Spring semester
Credits: 3
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Description: An introduction to actuarial science, covering many of the topics in the first Foundations of Actuarial Practice module, role of the Actuary, of the Society of Actuaries. Topics include: what an actuary is and does; external forces that influence actuarial work; and the framework and processes actuaries use to perform actuarial work using Microsoft Excel.
Prerequisites: Consent of the instructor.
Offered: Both semesters
Credits: 3
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Description: The mathematics of measurement of interest, accumulation and discount, present value, annuities, loans, bonds, and other securities.
Prerequisites: MATH 1122(114), 1132(116) or 121. Not open to students who have taken MATH 3630(287), 3650(289) or 5620(365).
Offered: Either semester
Credits: 3
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Description: A course designed to prepare the serious student for the more theoretical upper division mathematics courses. It includes basic concepts, principles and techniques of mathematical proof. It will also cover concepts commonly assumed in some of the higher mathematics courses; these concepts include sets, set operations, indexed family of sets, equivalence relations and partitions, functions, one-to-one functions, onto functions, induced set functions,... This is a required course for most mathematics majors.
Prerequisites: MATH 2110(210) or 220 or consent of instructor.
Offered: Either semester
Credits: 3
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Description: A historical study of the growth of the various fields of mathematics.
Prerequisites: (i) MATH 2110Q(210Q) or 2130Q(230Q), and 2410Q(211Q), or (ii) MATH 2420Q(221Q) or 2144Q(246Q); and ENGL 1010 or 1011 or 3800. This course may not be counted in any of the major groups described in the Mathematics Department listing.
Offered: Either semester
Credits: 3
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Description: The student will attend talks during the semester, and choose a mathematical topic from one of them to investigate in detail. The student will write a well-revised, comprehensive paper on this topic, including a literature review, description of technical details, and a summary and discussion.
Prerequisites: Either MATH 2110, 2130, or 2143; MATH 2410, 2420 or 2144; ENGL 1010 or 1011 or 3800.
Offered: Either semester
Credits: 2
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Description: The student will attend talks during the semester, and choose a mathematical topic from one of them to investigate in detail. The student will write a well-revised, comprehensive paper on this topic, including a literature review, description of technical details, and a summary and discussion, building upong the writing experience in MATH 2784.
Prerequisites: MATH 2784(200); ENGL 1010 or 1011 or 3800.
Offered: Either semester
Credits: 2
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Description: This course, with a change of topic, may be repeated for credit. Open only with consent of instructor.
Prerequisites: Open to juniors or higher.
Offered: Either semester
Credits: 3
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Description: Functions of a complex variable, integration in the complex plane, conformal mappings.
Prerequisites: MATH 2110(210) and 2410(211), or 2420(221). Not open for credit to students who have passed MATH 5046(352).
Offered: Either semester
Credits: 3
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Description: Introduction to the theory of functions of one and several real variables.
Prerequisites: MATH 2710(213) or 214; MATH 2410(211) or 2420(221).
Offered: Either semester
Credits: 3
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Description: This is the second semester of a year long transitional course in Analysis. The subject is the theory of functions of several variables. As in Math 3150(273), the emphasis is on understanding, constructing and writing mathematical proofs. Topics include: rigorous treatment of fundamental concepts in calculus, including limits and convergence of sequences and series, continuity and differentiability of functions in a Euclidean space.
Prerequisites: MATH 2710(213) or 214, and 2410(211) or 2420(221).
Offered: Spring
Credits: 3
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Description: Introduction to the theory of probability. Discussion of some of the probability problems encountered in scientific and business fields.
Prerequisites: MATH 2110(210) or 220, which may be taken concurrently with the consent of the instructor. Not open if passed MATH 3610(283) or 3660(284).
Offered: Either semester
Credits: 3
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Description: A sequel to Math 3160(231). The course covers conditional probability and conditional expectation, Markov Chains in discrete time and continuous time, renewal theory, the Poisson process, and the Brownian Motion process.
Prerequisites: STAT 3025 or 3345 or 3375 or MATH 3160(231).
Offered: Spring
Credits: 3
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Description: Linear algebra is one of the most productive branches of mathematics. Almost no science can survive without a serious use of linear algebra. Moreover, ideas throughout higher mathematics are often at some point related to "simple" linear algebra manipulations. The key idea is "linearization," which deals with the attempt at describing the information one wants to study in terms of linear algebra objects (vector spaces, operators, etc). We will try to understand such notions and make use of them in studying problems which at first glance may not seem to be "linear". Examples we will look at include explicit formulas for the famous Fibonacci and Lucas numbers, polynomial interpolation, factoring integers, solving difference and differential equations, and Hurwitz's celebrated 1,2,4,8 theorem.
Prerequisites: Math 2210(227) and either Math 2710(213) or Math 214
Offered: Spring
Credits: 3
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Description: This course studies fundamental algebraic systems in mathematics, selected from groups, rings, fields, and modules. Examples of groups include the invertible matrices with a fixed size and the roots of unity. Rings are illustrated by integers, polynomials, and modular arithmetic. Complex numbers, rational numbers, and rational functions are examples of fields. (There are also finite fields, which are used all the time in computer science.) Finally, ordinary vectors in space and any lattice in the plane are examples of modules. The concern with these algebraic systems is not simply the study of individual systems, but also of functions between systems which carry one operation into the other. For instance, the determinant not only converts matrices into numbers, but it sends a product of matrices into a product of numbers. The level of attention given to such operation-preserving transformations (putting them on an equal footing with the algebraic systems they transform) is one of the characteristic features of abstract algebra, and also one of the algebraic ideas which have reached into other areas of mathematics. Math 2710(213) and a linear algebra course are prerequisites.
Prerequisites: MATH 2710(213) or 2142Q(244Q). Recommended preparation: MATH 2210Q(227Q) or 2144Q(246Q).
Offered: Fall
Credits: 3
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Description: The main goal of this course is to discuss Galois theory, which is the study of relationships among roots of polynomials. For example, we will use Galois theory to prove that there is no formula analogous to the quadratic formula for the roots of xn - x - 1 when n is at least 5, or in fact for the roots of most polynomials of degree at least 5. More generally, Galois theory provides a correspondence between two different topics in algebra: fields and groups. Our study of fields will use linear algbera in interesting ways. For example, we will see how to show certain polynomials are irreducible using the concept of dimension. Only towards the end of the course will group theory be needed in a serious way, at which point what we need from group theory will be reviewed.
Prerequisites: Math 3230(216).
Offered: Spring (odd years)
Credits: 3
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Description: Number theory is the study of the integers, but this description hardly conveys the beauty of this part of mathematics. One of the main goals of this course is pedagogical: to see that mathematics is a vibrant intellectual activity and not a set of fixed rules developed by some higher authority. This viewpoint is especially useful for future teachers. Students will carry out many numerical experiments, generate conjectures based on patterns observed, and then prove or disprove these conjectures.
The content focuses on those parts of classical number theory which still have modern relevance in the subject: the Euclidean algorithm, modular arithmetic, distribution of primes, diophantine equations, applications to cryptography, arithmetic in quadratic rings and polynomial rings, and quadratic reciprocity. The examples in this course will provide a lot of food for thought for anyone who later takes abstract algebra.
Prerequisites: Math 2710(213) or 214
Offered: Fall
Credits: 3
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Description: Combinatorics concerns itself with problems involving discrete structures, generally on finite or countably infinite sets. Often we want to count the number of ways something can be done: arranging 5 books on a shelf, partitioning a sports club into 5 disjoint teams, or dividing a polygon into triangles using diagonals which only intersect at a vertex. Sometimes we consider the relationships among such objects, and the discrete structures involved, yielding graphs (imagine an airline route map that connects some pairs of cities, but not all) or partially ordered sets. In all of these we look for elegant ways of understanding and proving our answers are correct, avoiding simpleminded brute-force computations. This course will give an overview of combinatorial techniques and applications. We will count things using basic principles of arithmetic, using infinite series, and using bijections that help us translate objects we want to count into a different form that is easier to count. We will see surprisingly deep applications of the obvious Pigeonhole Principle. This course is an excellent way for students to strengthen their proof writing in contexts which are more easily accessible and concrete than many other areas of mathematics. These ideas come up frequently in other areas of mathematics in computer science, and in parts of chemistry and biology.
Prerequisites: MATH 2710(213) or 2142(244).
Offered: TBA
Credits: 3
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Description: Formalization of mathematical theories, elementary model theory with applications to algebra, number theory, and non-standard analysis. Additional topics: Elementary recursion theory and axiomatic set theory. Emphasis on the applications of logic to mathematics rather than the philosophical foundations of logic.
Prerequisites: MATH 2710(213) or 2142 or CSE 207. PHIL 2211 is recommended.
Offered: Spring (odd years)
Credits: 3
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Description: Finite automata and regular languages, pushdown automata and context-free languages and grammars. Turing machines, recursively enumerable sets and grammars, Church's thesis, the halting problem, and other undecidable problems. Computational complexity and NP-completeness.
Prerequisites: MATH 2142 or 2710 or CSE 2500
Offered: Either semester
Credits: 3
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Description: Topology is the study of properties of shape that persists under "nice" continuous perturbations---stretching, shrinking and twisting, the description given by the author of the textbook. A disk and a triangle, for instance, are regarded as the same shape in topology. This presents a stark contrast to another field in the study of shape, namely, geometry. Geometry, in general, studies the properties of shape that are more "visually" rigid and distinguishable, such as length, angle, area etc. These quantities are somewhat more familiar to most of us, whereas the criteria used in topology demand a certain degree of trained awareness and effort. This course begins with a brief introduction to the tools for the study. The first application is to see how many distinct closed surfaces exist in this world under the eyes of topologists. We will introduce a topological invariant called "Euler characteristic", which assigns an integer to an individual surface. Surprisingly, the Euler characteristic alone completely determines the topological shape of surfaces in spite of all those possible "geometric-shape-deforming" continuous perturbations. This process, which is called the "classification of closed compact surfaces", epitomizes one nature of topology, namely, simplicity. By the way, do you now see how many distinct compact closed surfaces exist from the topological point of view? When time allows, we will introduce more "topological invariants" such as fundamental groups, homology etc for the study of graphs, simplicial complex, knots etc. These concepts have major applications to computer science, biology and other fields. As the final remark, we will try to visit as many websites, some of which are suggested in the textbook, to enjoy the visual aspects of topology during the course.
Prerequisites: MATH 2710(213) or 214.
Offered: Spring (even years)
Credits: 3
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Description: The basic idea and of differential geometry is to say something about the geometry
of an object by moving a little bit on this object - for instance moving along a curve or on
a surface. Turning this approach into a questions it reads:
what kind of information can I get about my curve or my surface if I move
a little bit along them. It turns out that there is indeed a lot one can learn.
For a curve, one gets tangent directions, curvature and other geometric information
in this way.
For a surface, there are 2-d generalizations of these concepts.
One striking fact is that knowing this information everywhere allows you for
instance to discover that the earth is not flat. Furthermore it allows to explain
why there cannot be any maps of the earth which give the right distances and angles
at the same time. These types of considerations are also the basis for the theory of general relativity.
In this course, we will treat curves and surfaces from the above perspectives which lead us
to the results discussed above. We will provide a classical treatment, but the results and concepts
have applications in discretized versions for computer imaging and methods of finite elements.
Prerequisites: (i) MATH 2110(210) or 2130Q(230Q), and 2410Q(211Q), and MATH 2710(213) or 2142Q(244Q) or (ii) MATH 2144Q(246Q).
Offered: Fall (even years)
Credits: 3
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Description: Series solutions of differential equations, Bessel functions, Fourier series, partial differential equations and boundary value problems, nonlinear differential equations.
Prerequisites: MATH 2110(210) and 2410(211), or 2420(221). Not open for credit to students who have passed MATH 3412(279).
Offered: Either semester
Credits: 3
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Description: Vector analysis in rectangular, circular-cylindrical and spherical coordinates, postulational derivation of the partial differential equations of classical physics, Fourier series, Bessel and Legendre functions, solutions of Laplace, Poisson, diffusion and scalar and vector wave equations.
Prerequisites: MATH 2110(210) and 2410(211). Not open for credit to students who have passed MATH 3410(272).
Offered: Either semester
Credits: 3
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Description: Convergence of Fourier Series, Legendre and Hermite polynomials, existence and uniqueness theorems, two point boundary value problems, and Green's functions. Not open for credit to students who have passed MATH 5430.
Prerequisites: MATH 3410
Offered: Either semester
Credits: 3
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Description: Solution of first and second order partial differential equations with applications to engineering and the sciences. Not open for credit to students who have passed MATH 5435.
Prerequisites: MATH 3410
Offered: Either semester
Credits: 3
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Description: Analysis of numerical methods associated with linear systems, eigenvalues, inverses of matrices, zeros of non-linear functions and polynomials. Roundoff error and computational speed.
Prerequisites: MATH 2110(210), 2410(211), and either 3210(215) or 2210(227); and knowledge of at least one programming language.
Offered: Fall
Credits: 3
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Description: This is a second introductory course to modern numerical techniques, i.e., a sequel to Mathematics 3510(281). It starts with a survey of modern approximation techniques and explains how, why, and when the techniques can be expected to work. Using this background the course covers difference equations, numerical methods for the solution of ordinary and partial differential equations, eigenvalue computations. The course demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. The exercise sets include many applied problems from diverse areas of engineering, as well as from the physical, computer, biological, and social sciences.
Prerequisites: MATH 3511(280).
Offered: Spring
Credits: 3
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Description: Explores how an actuary uses computers to solve common actuarial problems. The student will learn how to design, develop, test and implement programs using Microsoft Office Excel with Visual Basic on a laptop computer.
Prerequisites: Consent of Instructor
Offered: Either semester
Credits: 3
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Description: Problems in calculus and probability designed to help students prepare for the first actuarial examination.
Prerequisites: MATH 2110(210) and 3160(231).
Offered: Either semester
Credits: 3
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Description: Preparation for the financial mathematics actuarial examinaton, which tests a student's knowledge of the theory of interest and financial economies at an introductory level.
Prerequisites: MATH 2620(285).
Offered: Either semester
Credits: 1
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Description: Regression and time series applied to actuarial science. Covers the learning objectives established by the Society of Actuaries for Validation by Educational Experience in Applied Statistic
Prerequisites: MATH 3160(231) and STAT 3375(230).
Offered: Fall
Credits: 3
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Description: Survival distributions, claim frequency and severity distributions, life tables, life insurance, life annuities, net premiums, net premium reserves, multiple life functions, and multiple decrement models.
Prerequisites: MATH 3160(231) or STAT 3375Q(230Q); MATH 2620(285), which may be taken concurrently. Not open to students who have taken MATH 5630.
Offered: Fall
Credits: 3
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Description: A continuation of Actuarial Mathematics I. This course, along with MATH 3630, helps students prepare for the actuarial examination on models for quantifying risk.
Prerequisites: MATH 3630. Not open to students who have passed MATH 5631.
Offered: Spring
Credits: 3
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Description: Topics from the fourth actuarial exam relating to survivial, severity, frequency and aggregate models, and the use of statistical methods to estimate parameters of such models given sample data.
Prerequisites: MATH 3630
Offered: Either semester
Credits: 3
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Description: Introduction to the design of computerized simulations for analyzing and interpreting actuarial and financial problems. This course, together with MATH 5637, 5640, and 5641 helps the student prepare for the actuarial examination on the construction and evaluation of risk models.
Prerequisites: MATH 3160(231) or STAT 3025Q(220Q) or 3375Q(230Q); and MATH 2620(285).
Offered: Spring
Credits: 3
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Description: The continuation of MATH 2620. Measurement of financial risk, the mathematics of capital budgeting, mathematical analysis of financial decisions and capital structure, and option pricing theory.
Prerequisites: MATH 2620(285). Also ACCT 2001, which may be taken concurrently.
Offered: Spring
Credits: 3
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Description: Advanced topics in financial mathematics such as single-period, multi-period, and continuous time financial models; Black-Scholes formula; interest rate models; and immunization theory.
Prerequisites: MATH 2620 and 3160.
Offered: Fall
Credits: 3
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Description: Students will write a technical report on an advanced topic in actuarial science.
Prerequisites: ENGL 1010 or 1011 or 3800. Consent of Director of Actuarial Science is required.
Offered: Either semester
Credits: 3
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Description: Construction of mathematical models in the social, physical, life and management sciences. Linear programming, simplex algorithm, duality. Graphical and probabilistic modeling. Stochastic processes, Markov chains and matrices. Basic differential equations and modeling.
Prerequisites: MATH 2420(221); or MATH 2410(211) and 2210(227). Knowledge of a programming language is strongly recommended. Not open for credit to students who have passed MATH 5530(304) or 5540(305), CHEM 305, or PHYS 5350.
Offered: Fall
Credits: 3
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Description: Consent of the Department Head, Director of the Actuarial Program, or the Undergraduate Coordinator required. Students taking this course will be assigned a final grade of S (satisfactory) or U (unsatistactory). May be repeated for credit to a maximum of 6 credits.
Prerequisites: Completion of Freshmen - Sophomore requisite courses in the major.
Offered: Either or both semesters
Credits: 1-3
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Description: May be repeated for credit (to a maximum of 15 for MATH 1793 and 3793 together). Consent of the Department Head or Undergraduate Coordinator required, normally before the student's departure. May count toward the major with consent of the Advisor and either the Department Head or Undergraduate Coordinator.
Offered: Either semester
Credits: By arr.
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Description: Problem sequences selected from algebra, geometry, calculus, combinatorics, and other branches of mathematics, designed to introduce mathematical concepts and to give experience in problem solving. With a change in topic, may be repeated for credit.
Prerequisites: MATH 1122(114), 1132(116), or 121.
Offered: Fall
Credits: 1
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Description: Either semester. Credits and hours by arrangement. With a change in content, may be repeated for credit. Prerequisites and recommended preparation vary.
Offered: Either semester
Credits: By arr.
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Description: The student should define a general subject area for the thesis before choosing a thesis advisor and seeking consent at the time of registration. The student should submit a written proposal for the senior thesis to the advisor by the end of the semester preceding enrollment for thesis credit.
Prerequisites: ENGL 1010 or 1011 or 3800; open to juniors or higher.
Offered: Either semester
Credits: 3
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Description: With a change in topic, may be repeated for credit. Prerequisites and recommended preparation vary.
Offered: Either semester
Credits: 3
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Description: Open only with consent of instructor. This course, with a change of topic, may be repeated for credit.
Prerequisites: Open to juniors or higher.
Offered: Either semester
Credits: By arr.
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Description: Metric spaces, sequences and series, continuity, differentiation, the Riemann-Stieltjes integral, functions of several variables.
Prerequisites: Consent of Instructor
Offered: Fall
Credits: 3
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Description: Group theory, ring theory and modules, and universal mapping properties.
Prerequisites: Consent of Instructor
Offered: Fall
Credits: 3
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Description: Topological spaces, connectedness, compactness, separation axioms, Tychonoff theorem, compact-open topology, fundamental group, covering spaces, simplicial complexes, differentiable manifolds, homology theory and the De Rham theory, intrinsic Riemannian geometry of surfaces.
Prerequisites: Consent of Instructor
Offered: Fall
Credits: 3
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Description: Introduction to the use of mathematical and statistical techniques to solve a wide variety of organizational problems. Topics include linear programming, network analysis, queueing theory, decision analysis.
Prerequisites: MATH 3160(231) or STAT 3025 or 3375. Not open for credit to students who have passed MATH 5635, STAT 4535, or 5535.
Offered: Either semester
Credits: 3
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University of Connecticut | 
