Undergraduate Course Directory

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Courses by Subject Area

Click on the links below for a list of courses in that subject area. You may then click “View Classes” to see scheduled classes for individual courses.

1011Q. Introductory College Algebra and Mathematical Modeling

3.00 credits

Prerequisites: Not open to students who have passed a Q course. RHAG students cannot take more than 22 credits of 1000 level courses.

Grading Basis: Graded

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. Strongly recommended as preparation for Q courses for students whose high school algebra needs reinforcement.

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1020Q. Problem Solving

3.00 credits

Prerequisites: Recommended preparation: MATH 1011 or equivalent. Not open for credit to students who have passed any math course other than MATH 1010, 1011, 1020, 1030, 1040, 1050, 1060 or 1070. RHAG students cannot take more than 19 credits of 1000 level courses.

Grading Basis: Graded

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. Not eligible for course credit by examination.

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1030Q. Elementary Discrete Mathematics

3.00 credits

Prerequisites: Recommended preparation: MATH 1011 or equivalent. Not open for credit to students who have passed any math course other than MATH 1010, 1011, 1020, 1030, 1040, 1050, 1060 or 1070. RHAG students cannot take more than 19 credits of 1000 level courses.

Grading Basis: Graded

Topics chosen from discrete mathematics. May include counting and probability, sequences, graph theory, deductive reasoning, the axiomatic method and finite geometries, number systems, voting methods, apportionment methods, mathematics of finance, number theory.

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1040Q. Elementary Mathematical Modeling

3.00 credits

Prerequisites: Recommended preparation: MATH 1011 or equivalent. Not open to students who have passed any MATH course other than MATH 1010, 1011,1020, 1030, 1040, 1050, 1070. This course and MATH 1060 cannot both be taken for credit.

Grading Basis: Graded

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. This course should not be considered as adequate preparation for MATH 1071, 1120, 1131, or 1151.

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1060Q. Precalculus

3.00 credits

Prerequisites: A qualifying score on the math placement assessment (For more info: http://placement.uconn.edu/mathematics-placement/) Not open for credit to students who have passed MATH 1120,1125,1131,or 120. Both this course & MATH 1040 cannot be taken for credit.

Grading Basis: Graded

Preparation for calculus. Review of algebra. Functions and their applications; in particular, polynomials, rational functions, exponentials, logarithms and trigonometric functions.

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1070Q. Mathematics for Business and Economics

3.00 credits

Prerequisites: Recommended preparation: MATH 1011 or equivalent

Grading Basis: Graded

Linear equations and inequalities, exponents and logarithms, matrices and determinants, linear programming. Applications.

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1071Q. Calculus for Business and Economics

3.00 credits

Prerequisites: Recommended prep: MATH 1011 or the equivalent, and MATH 1070, and a qualifying score on the mathematics placement assessment. Not open to students who have passed MATH 1110. Only one credit for students who have passed MATH 1121, 1131, 1151 or 120.

Grading Basis: Graded

Derivatives and integrals of algebraic, exponential and logarithmic functions. Functions of several variables. Applications.

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1110Q. A Survey of Calculus with Applications I

3.00 credits

Prerequisites: Recommended preparation: MATH 1011 or equivalent. Not open for credit to students who have passed MATH 1071, 1121, 1131, 1151 or 120.

Grading Basis: Graded

Derivatives and integrals of elementary functions including the exponential and logarithm functions; applications include optimization, marginal functions, exponential growth and decay, compound interest.

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1125Q. Calculus Ia

3.00 credits

Prerequisites: Cannot be taken for credit after passing MATH 1120, 1126, 1131, 1151 or 120. Recommended preparation: some exposure to the content of MATH 1060 (Precalculus). For students who have not passed the Calculus Placement Survey.

Grading Basis: Graded

Limits, derivatives, and extreme values of algebraic, trigonometric, exponential and logarithmic functions, with supporting algebraic topics. Math 1125 covers the content of approximately the first half of Math 1131.

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1126Q. Calculus Ib

3.00 credits

Prerequisites: MATH 1125. Recommended preparation: a C- or better in MATH 1125. Students cannot receive credit for both MATH 1126 and MATH 1121, 1131, or 1151.

Grading Basis: Graded

A continuation of the differential calculus of algebraic, trigonometric, exponential and logarithmic functions of MATH 1125 ending with antidifferentiation, the definite integral, some techniques and applications. MATH 1126 covers the content of approximately the second half of MATH 1131. Substitutes for MATH 1131 or 1151 as a requirement.

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1131Q. Calculus I

4.00 credits

Prerequisites: A qualifying score on math placement assessment (placement.uconn.edu/mathematics-placement). Students cannot receive credit for MATH 1131 and either MATH 1120, 1121, 1126 or 1151 (2 credits for students who have passed MATH 1125).

Grading Basis: Graded

Limits, continuity, differentiation, antidifferentiation, definite integral, with applications to the physical sciences and engineering sciences. Suitable for students with some prior calculus experience. Substitutes for MATH 1120, 1126 or 1151 as a requirement. Two credits for students who have passed MATH 1125.

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1132Q. Calculus II

4.00 credits

Prerequisites: A qualifying score on the math placement assessment; one of MATH 1121, MATH 1126, MATH 1131, MATH 1151, or AP credit for calculus. Recommended preparation: C- or better in MATH 1121 or MATH 1126 or MATH 1131. Not open to students who have passed MATH 1122 or MATH 1152. Substitutes for MATH 1122.

Grading Basis: Graded

Transcendental functions, formal integration, polar coordinates, infinite sequences and series, vector algebra and geometry, with applications to the physical sciences and engineering. Substitutes for MATH 1122 or 121 as a requirement.

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1151Q. Honors Calculus I

4.00 credits

Prerequisites: A qualifying score on the mathematics placement assessment. Students cannot receive credit for MATH 1151 and either MATH 1121, 1131, or 120.

Grading Basis: Honors Credit

The subject matter of MATH 1131 in greater depth, with emphasis on the underlying mathematical concepts. May be used in place of MATH 1131 to fulfill any requirement satisfied by MATH 1131.

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1152Q. Honors Calculus II

4.00 credits

Prerequisites: A qualifying score on the mathematics placement assessment, and MATH 1151 or AP credit for calculus or consent of instructor. Students cannot receive credit for MATH 1152 and either MATH 1122, 1132, or 121.

Grading Basis: Honors Credit

The subject matter of MATH 1132 in greater depth, with emphasis on the underlying mathematical concepts. May be used in place of MATH 1132 to fulfill any requirement satisfied by MATH 1132.

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1793. Foreign Study

1.00 - 15.00 credits | May be repeated for a total of 15 credits.

Prerequisites: May be repeated for credit to a maximum of 15 for MATH 1793, 2793, and 3793 together.

Grading Basis: Graded

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.

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1795Q. Special Topics Lecture

1.00 - 3.00 credits

Prerequisites: None.

Grading Basis: Graded

Credits, prerequisites and hours as determined by the Senate Curricula and Courses Committee. May be repeated for credit with a change in topic.

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2010Q. Fundamentals of Algebra and Geometry

3.00 credits

Prerequisites: PSYC 1100; three credits of Mathematics; open only to students enrolled in the Elementary Education program in the Neag School of Education, or by consent of instructor. Not open to students who have passed MATH 2011.

Grading Basis: Graded

Development of the number system with applications to elementary number theory and analytic geometry. May not be counted in any of the major groups described in the Mathematics Departmental listing.

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2011Q. Fundamentals of Algebra and Geometry

3.00 credits

Prerequisites: MATH 2010.

Grading Basis: Graded

Development of the number system with applications to elementary number theory and analytic geometry. May not be counted in any of the major groups described in the Mathematics Departmental listing. SM-10/29/14

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2110Q. Multivariable Calculus

4.00 credits

Prerequisites: MATH 1132 or 1152 or a score of 4 or 5 on the AP Calculus BC exam. Recommended preparation: a grade of C- or better in MATH 1132. Not open to students who have passed MATH 2130, 2143, 2720, 3146, 3160, 3330, 3370, 3410, 3412, 3510, or 3610. Repeat restrictions apply; see advising.uconn.edu/repeat-policy.

Grading Basis: Graded

Two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals.

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2130Q. Honors Multivariable Calculus

4.00 credits

Prerequisites: MATH 1152 ,or AP credit for MATH 1131 and 1132, or instructor consent. Not open to students who have passed MATH 2110 or 2143. Cannot be taken after passing MATH 2720, 3160, 3330, 3370, 3412, 3510, 3610.

Grading Basis: Honors Credit

(Honors Course) The subject matter of MATH 2110 in greater depth, with emphasis on the underlying mathematical concepts. May be used in place of MATH 2110 to fulfil any requirement satisfied by MATH 2110.

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2141Q. Advanced Calculus I

4.00 credits

Prerequisites: A year of calculus (may include calculus taken in high school). Cannot be taken for credit after passing MATH 2142.

Grading Basis: Graded

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 used in place of MATH 1131 or 1151 to fulfill any requirement satisfied by MATH 1131 or 1151. May be taken for honors credit but open to any qualified student.

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2142Q. Advanced Calculus II

4.00 credits

Prerequisites: MATH 2141. Cannot be taken for credit after passing MATH 2143, 2210, 2360, 2410, 2620, 3150, 3230, 3240, 3260, 3270, 3330, 3370.

Grading Basis: Graded

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. MATH 2142Q may be used in place of MATH 1132, 1152 or 2710 to fulfill any requirement satisfied by MATH 1132, 1152 or 2710. May be taken for honors credit but open to any qualified student. SM-12/9/13

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2143Q. Advanced Calculus III

4.00 credits

Prerequisites: MATH 2142. Cannot be taken for credit after passing MATH 2144, 3160, 3330, 3610.

Grading Basis: Honors Credit

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. MATH 2143 may be used in place of MATH 2110 to fulfill any requirement satisfied by MATH 2110. May be taken for honors credit but open to any qualified student.

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2144Q. Advanced Calculus IV

4.00 credits

Prerequisites: MATH 2143. Cannot be taken for credit after passing MATH 3146, 3150, 3210, 3370, 3410, 3412, 3510, 3710, 3720 and 255 .

Grading Basis: Graded

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. MATH 2144 may be used in place of MATH 2410, MATH 2420 or MATH 2210 to fulfill any requirement satisfied by MATH 2410, MATH 2420 or MATH 2210. May be taken for honors credit but open to any qualified student. SM-12/9/13

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2210Q. Applied Linear Algebra

3.00 credits

Prerequisites: MATH 1132 or 1152 or 2142. Recommended preparation: a grade of C- or better in MATH 1132. Not open after passing MATH 2144, 3210, 3510, or 3710. Repeat restrictions apply. See advising.uconn.edu/repeat-policy for information.

Grading Basis: Graded

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.

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2360Q. Geometry

3.00 credits

Prerequisites: MATH 1126 or 1131 or 1151 or 2142 (MATH 1126 may be taken concurrently).

Grading Basis: Graded

Deductive reasoning and the axiomatic method, Euclidean geometry, parallelism, hyperbolic and other non-Euclidean geometries, geometric transformations.

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2410Q. Elementary Differential Equations

3.00 credits

Prerequisites: MATH 1132, 1152 or 2142. Recommended preparation: A grade of C- or better in MATH 1132; MATH 2110 or 2130. Cannot be taken after MATH 2144, 2420, 2720, 3146, 3150, 3410, 3412, 3510, 3710. Repeat restrictions apply; see advising.uconn.edu/repeat-policy.

Grading Basis: Graded

Introduction to ordinary differential equations and their applications, linear differential equations, systems of first order linear equations, numerical methods.

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2420Q. Honors Differential Equations

3.00 credits

Prerequisites: MATH 1152 or instructor consent. Not open to students who have passed MATH 2410 or 2144. Cannot be taken after passing MATH 3146, 2720, 3150, 3410, 3412, 3710.

Grading Basis: Honors Credit

The subject matter of MATH 2410 in greater depth, with emphasis on the underlying mathematical concepts. MATH 2420 satisfies any requirement met by MATH 2410, and provides superior preparation for prospective mathematics, science, and engineering majors.

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2610. Introduction to Actuarial Science

3.00 credits

Prerequisites: None.

Grading Basis: Graded

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.

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2620. Financial Mathematics I

3.00 credits

Prerequisites: MATH 1132 or 1152 or 2142. Not open to students who have taken MATH 3615, 3620, 3630, 3634, 3650, 3660, or 5620.

Grading Basis: Graded

Fundamental concepts of financial mathematics, with applications in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, duration calculation, asset/liability management, investment income, capital budgeting and valuing contingent cash flows.

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2710. Transition to Advanced Mathematics

3.00 credits

Prerequisites: MATH 1132 or 1152. Cannot be taken for credit after passing MATH 2143, 3150, 3210, 3230, 3240, 3260, 3270, 3330, 3370 or 224.

Grading Basis: Graded

Basic concepts, principles, and techniques of mathematical proof common to higher mathematics. Logic, set theory, counting principles, mathematical induction, relations, functions. Concepts from abstract algebra and analysis. Students intending to major in mathematics should ordinarily take this course during the third or fourth semester. SM-2/27/12

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2710W. Transition to Advanced Mathematics

3.00 credits

Prerequisites: Math 1132 or 1152; ENGL 1010 or 1011 or 2011. Open only to Mathematics majors. Not open for credit to students who have passed MATH 2143.

Grading Basis: Graded

Basic concepts, principles, and techniques of mathematical proof common to higher mathematics. Logic, set theory, counting principles, mathematical induction, relations, functions. Concepts from abstract algebra and analysis. Students intending to major in Mathematics should ordinarily take this course or Math 2710 during the third or fourth semester.

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2720W. History of Mathematics

3.00 credits

Prerequisites: Either (i) MATH 2110 or 2130, and either MATH 2210 or 2410; or (ii) MATH 2420 or 2144; ENGL 1010 or 1011 or 2011.

Grading Basis: Graded

A historical study of the growth of the various fields of mathematics. This course may not be counted in any of the major groups described in the Mathematics Departmental listing.

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2793. Foreign Study

1.00 - 6.00 credits | May be repeated for a total of 15 credits.

Prerequisites: May be repeated for credit to a maximum of 15 for MATH 1793, 2793, and 3793 together.

Grading Basis: Graded

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.

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2794W. Mathematics Writing Seminar

2.00 credits

Prerequisites: ENGL 1010 or 1011 or 2011; one of the following: (1) MATH 2144 or (2) one of MATH 2110, 2130, 2143 and one of MATH 2210, 2410, 2420.

Grading Basis: Graded

Contemporary topics in mathematics. SM - 12/1/14

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3094. Undergraduate Seminar

3.00 credits | May be repeated for credit.

Prerequisites: None.

Grading Basis: Graded

This course, with a change of topic, may be repeated for credit.

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3146. Introduction to Complex Variables

3.00 credits

Prerequisites: MATH 2110 and 2410, or MATH 2420 or MATH 2144. Not open for credit to students who have passed MATH 5046.

Grading Basis: Graded

Functions of a complex variable, integration in the complex plane, conformal mappings.

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3150. Analysis I

3.00 credits

Prerequisites: MATH 2144 or 2410 or 2420; MATH 2110 or 2130 or 2143; and a grade of C or better in either MATH 2142 or 2710.

Grading Basis: Graded

Introduction to the theory of functions of one real variable.

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3151. Analysis II

3.00 credits

Prerequisites: MATH 3150

Grading Basis: Graded

Introduction to the theory of functions of several real variables.

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3160. Probability

3.00 credits

Prerequisites: MATH 2110 or 2130 or 2143. Cannot be taken for credit after passing MATH 3165, 3610, 3621, 3634, 4735.

Grading Basis: Graded

Introduction to the theory of probability. Sets and counting, probability axioms, conditional probabilities, random variables, limit theorems.

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3165. Honors Probability

3.00 credits

Prerequisites: MATH 2130 or 2143. Not open to students who have passed MATH 3160.

Grading Basis: Honors Credit

The subject matter of MATH 3160 in greater depth, with emphasis on the underlying mathematical concepts. May be used in place of MATH 3160 to satisfy any requirement satisfied by MATH 3160.

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3170. Elementary Stochastic Processes

Also offered as: STAT 3965

3.00 credits

Prerequisites: STAT 3025 or 3345 or 3375 or MATH 3160.

Grading Basis: Graded

Conditional distributions, discrete and continuous time Markov chains, limit theorems for Markov chains, random walks, Poisson processes, compound and marked Poisson processes, and Brownian motion. Selected applications from actuarial science, biology, engineering, or finance.

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3210. Abstract Linear Algebra

3.00 credits

Prerequisites: MATH 2210 or 2144; a grade of C or better in MATH 2142 or 2710. Cannot be taken for credit after passing MATH 255.

Grading Basis: Graded

Vector spaces and linear transformations over fields.

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3230. Abstract Algebra I

3.00 credits

Prerequisites: A grade of C or better in MATH 2710 or 2142. Recommended preparation: MATH 2144 or 2210. Cannot be taken after passing MATH 3231.

Grading Basis: Graded

The fundamental topics of modern algebra including elementary number theory, groups, rings, polynomials and fields.

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3231. Abstract Algebra II

3.00 credits

Prerequisites: MATH 3230. Recommended preparation: MATH 3210

Grading Basis: Graded

Topics from ring theory, Galois theory, linear and multilinear algebra, or algebraic geometry.

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3240. Introduction to Number Theory

3.00 credits

Prerequisites: A grade of C or better in MATH 2142 or 2710.

Grading Basis: Graded

Euclid's algorithm, modular arithmetic, Diophantine equations, analogies between integers and polynomials, and quadratic reciprocity, with emphasis on developing both conjectures and their proofs. FM-10/9/07

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3250. Combinatorics

3.00 credits

Prerequisites: A grade of C or better in MATH 2142 or 2710.

Grading Basis: Graded

Analysis of combinatorial problems and solution methods. Topics include: Enumeration, generating functions, bijective proofs, sieve methods, recurrence relations, graphs, partially ordered sets, and extremal combinatorics.

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3260. Introduction to Mathematical Logic

3.00 credits

Prerequisites: A grade of C or better in MATH 2142 or 2710. Recommended preparation: PHIL 2211.

Grading Basis: Graded

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.

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3265. Applied Mathematical Logic

3.00 credits

Prerequisites: MATH 2142, or a grade of C or better in MATH 2710, or CSE 2500, or PHIL 2211Q

Grading Basis: Graded

Applied logic selected from set theory, computability theory, nonclassical logic, and type theory. Topics may include ordinal and cardinal numbers, transfinite recursion, the ZFC axioms, models of computation, undecidable problems, modal logic, intuitionistic logic.

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3330. Elements of Topology

3.00 credits

Prerequisites: MATH 2110 or 2130 or 2143; and a grade of C or better in either MATH 2142 or 2710.

Grading Basis: Graded

Metric spaces, topological spaces and functions, topological properties, surfaces, elementary topics in geometric topology.

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3370. Differential Geometry

3.00 credits

Prerequisites: A grade of C or better in either MATH 2142 or 2710 and either (i) MATH 2110 or 2130, and MATH 2410 or 2420; OR (ii) MATH 2144

Grading Basis: Graded

The in-depth study of curves and surfaces in space.

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3410. Differential Equations for Applications

3.00 credits

Prerequisites: MATH 2110 and 2410, or MATH 2144 or 2420. Not open for credit to students who have passed MATH 3412 or 3430.

Grading Basis: Graded

Series solutions of differential equations, Bessel functions, Fourier series, partial differential equations and boundary value problems, nonlinear differential equations.

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3435. Partial Differential Equations

3.00 credits

Prerequisites: MATH 2110 and one of MATH 2410 or MATH 2420 or MATH 2144

Grading Basis: Graded

Solution of first and second order partial differential equations with applications to engineering and the sciences.

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3510. Numerical Analysis I

3.00 credits

Prerequisites: Either (i) MATH 2110 or 2130, and MATH 2410, and MATH 2210 or 3210; or (ii) MATH 2144; and knowledge of at least one programming language. Cannot be taken for credit after passing MATH 3511.

Grading Basis: Graded

Analysis of numerical methods associated with linear systems, eigenvalues, inverses of matrices, zeros of non-linear functions and polynomials. Roundoff error and computational speed.

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3511. Numerical Analysis II

3.00 credits

Prerequisites: MATH 3510.

Grading Basis: Graded

Approximate integration, difference equations, solution of ordinary and partial differential equations.

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3545. Actuarial Case Studies using SAS

1.00 credits

Prerequisites: MATH 2620, MATH 3160, STAT 3375, and consent of instructor.

Grading Basis: Graded

Design, development, testing, and implementation of solutions to problems in actuarial science using SAS.

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3550. Programming for Actuaries

3.00 credits

Prerequisites: None.

Grading Basis: Graded

Design, development, testing and implementation of programs to solve actuarial problems using software such as Microsoft Office Excel with Visual Basic.

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3610. Probability Problems

1.00 credits

Prerequisites: MATH 2110 or 2130 or 2143; MATH 3160.

Grading Basis: Graded

Preparation through problem solving for the probability actuarial examination, which tests a student's knowledge of the fundamental probability tools for quantitatively assessing risk. Recommended prior knowledge: a thorough command of probability, as well as basic concepts in insurance and risk management.

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3615. Financial Mathematics Problems

1.00 credits

Prerequisites: MATH 2620.

Grading Basis: Graded

Preparation for the financial mathematics actuarial examination, which tests a student's knowledge of the theory of interest and financial economics at an introductory level.

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3620. Foundations of Actuarial Science

3.00 credits

Prerequisites: MATH 2620. Not open for credit to students who have passed MATH 2610 or FNCE 3221 or HCMI 3221.

Grading Basis: Graded

The foundations of actuarial science, the role of the actuary, external forces that influence actuarial work, and the framework and processes used in actuarial work.

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3621. Actuarial Statistics

3.00 credits

Prerequisites: MATH 3160; STAT 3375

Grading Basis: Graded

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 Statistics.

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3630. Long-Term Actuarial Mathematics I

4.00 credits

Prerequisites: MATH 3160 or 3165 or STAT 3375; MATH 2620. Cannot be taken for credit after passing MATH 3631 or 5630.

Grading Basis: Graded

Mathematical foundations of life contingencies and their applications to quantifying risks in other actuarial contexts. Topics include long-term insurance products, survival and longevity models, life tables, life insurance, life annuities, premium calculations, reserves.

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3631. Long-Term Actuarial Mathematics II

3.00 credits

Prerequisites: MATH 3630. Not open to students who have passed MATH 5631.

Grading Basis: Graded

Topics include multiple state models, multiple decrements, multiple lives, profit and loss analysis, pension plans and funding, retirement benefits, long-term health and disability.

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3632. Loss Models

3.00 credits

Prerequisites: MATH 3630, which may be taken concurrently.

Grading Basis: Graded

Topics from the fourth actuarial exam relating to survival, severity, frequency and aggregate models, and the use of statistical methods to estimate parameters of such models given sample data.

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3634. Actuarial Models

3.00 credits

Prerequisites: MATH 3160 or STAT 3025 or STAT 3375; MATH 2620.

Grading Basis: Graded

Introduction to the design of computerized simulations for analyzing and interpreting actuarial and financial problems. This course, together with MATH 5637, MATH 5640, and MATH 5641, helps the student prepare for the actuarial examination on the construction and evaluation of risk models.

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3636. Actuarial Statistical Modeling I

3.00 credits

Prerequisites: MATH 3160 or 3165; STAT 3375Q.

Grading Basis: Graded

Introduction to the R programming language, linear regression models, generalized linear models, and time series models. Case studies are used to demonstrate applications.

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3637. Actuarial Statistical Modeling II

3.00 credits

Prerequisites: MATH 3621 or 3636

Grading Basis: Graded

Introduction to principal component analysis, decision tree models, and cluster analysis. Case studies are used to demonstrate applications.

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3639. Actuarial Loss Models

3.00 credits

Prerequisites: MATH 2610 or 3620; and MATH 3160 or 3165 or STAT 3375

Grading Basis: Graded

Loss distribution models for claim frequency and severity, aggregate risk models, coverage modifications, risk measures, construction and selection of parametric models, introduction to simulation.

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3640. Short-Term Insurance Ratemaking

3.00 credits

Prerequisites: MATH 3632 or 3639. Not open to students who have passed MATH 5640.

Grading Basis: Graded

Credibility theory, pricing for short-term insurance coverages, reinsurance, experience rating, risk classification, introduction to Bayesian statistics.

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3641. Short-Term Insurance Reserving

3.00 credits

Prerequisites: MATH 3640. Not open to students who have passed MATH 5641.

Grading Basis: Graded

Techniques and underlying statistical theory for estimating unpaid claims, use of claims triangles, basic adjustments to data and estimation techniques to account for internal and external environments, estimating recoveries, model adequacy and reasonableness.

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3650. Financial Mathematics II

3.00 credits

Prerequisites: MATH 2620; ACCT 2001, which may be taken concurrently. Cannot be taken for credit after passing MATH 5621.

Grading Basis: Graded

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.

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3660. Advanced Financial Mathematics

3.00 credits

Prerequisites: MATH 2620 and 3160.

Grading Basis: Graded

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.

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3670W. Technical Writing for Actuaries

3.00 credits

Prerequisites: ENGL 1010 or 1011 or 2011.

Grading Basis: Graded

Students will write a technical report on an advanced topic in actuarial science.

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3710. Introduction to Mathematical Modeling

3.00 credits

Prerequisites: MATH 2144Q or MATH 2420Q; or MATH 2210Q and MATH 2410Q.

Grading Basis: Graded

Theoretical and numerical analysis, using concepts from calculus, differential equations, linear algebra and discrete mathematics, applied to derive and analyze various mathematical models used in other disciplines.

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3710W. Introduction to Mathematical Modeling

3.00 credits

Prerequisites: MATH 2144Q or 2420Q; or MATH 2210Q and 2410Q; ENGL 1010 or 1011 or 2011; open only to Mathematics majors.

Grading Basis: Graded

Theoretical and numerical analysis, using concepts from calculus, differential equations, linear algebra and discrete mathematics, applied to derive and analyze various mathematical models used in other disciplines.

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3790. Field Study Internship

1.00 - 3.00 credits | May be repeated for a total of 6 credits.

Prerequisites: Completion of freshmen - sophomore level requisite courses in the major.

Grading Basis: Satisfactory/Unsatisfactory

May be repeated for credit (to a maximum of 6 credits). 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 (unsatisfactory.)

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3793. Foreign Study

1.00 - 15.00 credits | May be repeated for a total of 15 credits.

Prerequisites: May be repeated for credit to a maximum of 15 for MATH 1793, 2793, and 3793 together.

Grading Basis: Graded

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.

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3794. Problem Seminar

1.00 credits | May be repeated for credit.

Prerequisites: MATH 1122 or 1132 or 1152.

Grading Basis: Graded

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.

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3795. Special Topics

1.00 - 6.00 credits | May be repeated for credit.

Prerequisites: Prerequisites and recommended preparation vary.

Grading Basis: Graded

With a change in topic, may be repeated for credit.

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3796W. Senior Thesis in Mathematics

3.00 credits

Prerequisites: ENGL 1010 or 1011 or 2011.

Grading Basis: Honors Credit

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.

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3798. Variable Topics

3.00 credits | May be repeated for credit.

Prerequisites: Prerequisites and recommended preparation vary.

Grading Basis: Graded

With a change in topic, may be repeated for credit.

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3799. Independent Study

1.00 - 6.00 credits | May be repeated for credit.

Prerequisites: None.

Grading Basis: Graded

With a change of topic, may be repeated for credit.

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3899. Independent Study

1.00 - 3.00 credits | May be repeated for a total of 6 credits.

Prerequisites: None.

Grading Basis: Satisfactory/Unsatisfactory

Credits and hours by arrangement. Prerequisite: Instructor consent. May be repeated once for credit with change in content. Students taking this course will be assigned a final grade of S (satisfactory) or U (unsatisfactory).

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4110. Introduction to Modern Analysis

3.00 credits

Prerequisites: Not open for credit to students who have passed MATH 5510.

Grading Basis: Graded

Metric spaces, sequences and series, continuity, differentiation, the Riemann-Stieltjes integral, functions of several variables.

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4210. Advanced Abstract Algebra

3.00 credits

Prerequisites: Not open for credit to students who have passed MATH 5210.

Grading Basis: Graded

Group theory, ring theory and modules, and universal mapping properties.

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4310. Introduction to Geometry and Topology

3.00 credits

Prerequisites: Not open for credit to students who have passed MATH 5310.

Grading Basis: Graded

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.

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