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Higher-Level Mathematics Courses for Fall 2010
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Math 2141Q (243Q) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 2143Q (245Q) - Fall 2010
Description
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 2142(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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Sections: Fall 2010 in Storrs Campus
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Math 2194W (202W) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 2210Q (227Q) - Fall 2010
Description
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), or 2142(244). Recommended Preparation: a 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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Sections: Fall 2010 in Storrs Campus
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Math 2360Q (223Q) - Fall 2010
Description
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), 1126, or 1131(115).
Offered: Either semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 2410Q (211Q) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
| 5632 |
2410Q |
001 |
Lecture |
TuTh 11:00:00 AM-12:15:00 PM |
MSB411 |
Gine-Masdeu, Evarist |
| 5634 |
2410Q |
002 |
Lecture |
MWF 11:00:00 AM-11:50:00 AM |
MSB319 |
Solomon, Reed |
| 5636 |
2410Q |
003 |
Lecture |
MWF 2:00:00 PM-2:50:00 PM |
MSB411 |
Martin, Richard |
| 5638 |
2410Q |
004 |
Lecture |
MWF 10:00:00 AM-10:50:00 AM |
MSB303 |
Yin, Weidong |
| 11390 |
2410Q |
005 |
Lecture |
TuTh 2:00:00 PM-3:15:00 PM |
MSB319 |
Stephen Miller |
| 13462 |
2410Q |
006 |
Lecture |
MWF 1:00:00 PM-1:50:00 PM |
MSB411 |
Yin, Weidong |
| 13462 |
2410Q |
007 |
Lecture |
MWF 11:00:00 AM-11:50:00 AM |
MSB118 |
Ryan Schwarz |
| 11390 |
2410Q |
008 |
Lecture |
MWF 10:00:00 AM-10:50:00 AM |
KNS311 |
Ryan Schwarz |
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Math 2610 (236) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 2620 (285) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 2710 (213) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
| 12042 |
2710 |
001 |
Lecture |
TuTh 9:30:00 AM-10:45:00 AM |
MSB411 |
Paul Ellis |
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Math 2720W (242W) - Fall 2010
Description
Description: A historical study of the growth of the various fields of mathematics.
Prerequisites: (i) MATH 2110Q(210Q) or 2130Q(230Q), and 2210 (227Q) or 2410Q(211Q), or (ii) MATH 2144Q(246Q) or 2420(221Q); 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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Sections: Fall 2010 in Storrs Campus
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Math 2784 (200) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
| 10902 |
2784 |
001 |
Practical |
MWF 5:30:00 PM-6:20:00 PM |
MSB319 |
Erin T. Mullen |
| 10902 |
2784 |
001 |
Practical |
MWF 5:30:00 PM-6:20:00 PM |
MSB319 |
Erin T. Mullen |
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Math 2794W (201W) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
| 12032 |
2794W |
001 |
Lecture |
MWF 5:30:00 PM-6:20:00 PM |
MSB319 |
Erin T. Mullen |
| 12032 |
2794W |
001 |
Lecture |
MWF 5:30:00 PM-6:20:00 PM |
MSB319 |
Erin T. Mullen |
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Math 3146 (252) - Fall 2010
Description
Description: Functions of a complex variable, integration in the complex plane, conformal mappings.
Prerequisites: MATH 2110(210) and 2410(211), or 2144 or 2420(221). Not open for credit to students who have passed MATH 5046(352).
Offered: Either semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3150 (273) - Fall 2010
Description
Description: Introduction to the theory of functions of one and several real variables.
Prerequisites: MATH 2142(244), a grade of C or better in 2710(213), or 214; MATH 2410(211) or 2420(221).
Offered: Either semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3160 (231) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 3170 (232) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 3230 (216) - Fall 2010
Description
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.
Prerequisites: MATH 2142(244) or a grade of C or better in 2710(213). Recommended preparation: MATH 2210Q(227Q) or 2144Q(246Q).
Offered: Fall
Credits: 3
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Sections: Fall 2010 in Storrs Campus
| 14230 |
3230 |
001 |
Lecture |
TuTh 12:30:00 PM-1:45:00 PM |
MSB303 |
Gross, David |
| 15394 |
3230 |
002 |
Lecture |
MWF 11:00:00 AM-11:50:00 AM |
MSB215 |
Ryan Kinser |
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Math 3240 (258) - Fall 2010
Description
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 2142(244), a grade of C or better in 2710(213), or 214.
Offered: Fall
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3370 (225) - Fall 2010
Description
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: MATH 2142(244) or a grade of C or better in 2710(213), and either (i) MATH 2110(210) or 2130Q(230Q), and 2410Q(211Q), or (ii) MATH 2144Q(246Q).
Offered: Fall (even years)
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3410 (272) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 3510 (281) - Fall 2010
Description
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: Either (i) MATH 2110(210) or 2130(230), 2410(211), and either 2210(227) or 3210(215) or (ii) MATH 2144; and knowledge of at least one programming language.
Offered: Fall
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3550 - Fall 2010
Description
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: Every Semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3610 (283) - Fall 2010
Description
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: 1
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Sections: Fall 2010 in Storrs Campus
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Math 3615 (280) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 3630 (287) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
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Math 3632 - Fall 2010
Description
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 is prerequisite or corequisite.
Offered: Fall
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3650 (289) - Fall 2010
Description
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: Every Semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3660 (284) - Fall 2010
Description
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: Every Semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3670W (291W) - Fall 2010
Description
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: Every Semester
Credits: 3
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Sections: Fall 2010 in Storrs Campus
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Math 3710 (204) - Fall 2010
Description
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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Sections: Fall 2010 in Storrs Campus
| 14228 |
3710 |
001 |
Lecture |
TuTh 11:00:00 AM-12:15:00 PM |
MSB319 |
Erin T. Mullen |
| 14228 |
3710 |
001 |
Lecture |
TuTh 11:00:00 AM-12:15:00 PM |
MSB319 |
Erin T. Mullen |
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University of Connecticut | 
