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Higher-Level Mathematics Courses for Fall 2009
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Math 2141Q (243Q) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2143Q (245Q) - Fall 2009
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 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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2194W (202W) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2210Q (227Q) - Fall 2009
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), 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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2360Q (223Q) - Fall 2009
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) or 1131(115) or 120. MATH 1121(113) may be taken concurrently.
Offered: Either semester
Credits: 3
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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2410Q (211Q) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2610 (236) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2620 (285) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2710 (213) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2720W (242W) - Fall 2009
Description
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2784 (200) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 2794W (201W) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3146 (252) - Fall 2009
Description
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3150 (273) - Fall 2009
Description
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3160 (231) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3230 (216) - Fall 2009
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. 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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3240 (258) - Fall 2009
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 2710(213) or 214
Offered: Fall
Credits: 3
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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3410 (272) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3510 (281) - Fall 2009
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: 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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3610 (283) - Fall 2009
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: 3
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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3615 (280) - Fall 2009
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3631 (288) - Fall 2009
Description
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3634 (276) - Fall 2009
Description
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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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3650 (289) - Fall 2009
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: Spring
Credits: 3
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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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Math 3670W (291W) - Fall 2009
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: Either semester
Credits: 3
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This is not necessarily the official description for the courses. For the official descriptions, consult the 2009 - 2010 undergraduate catalog.
Sections: Fall 2009 in Storrs Campus
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