University of Connecticut College of Liberal Arts and Sciences
Department of Mathematics : Applied financial Mathematics Program
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All Undergraduate Math Courses

These are not necessarily the official descriptions of the courses. For the official descriptions, consult the catalog.

MATH 101: Basic Algebra with Applications Link: More Info
Description: Polynomials, exponents, Cartesian coordinate system, linear and quadratic equations, inequalities. 
Offered: Spring And Fall
Credits: 3

MATH 102Q: Problem Solving Link: More Info
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 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 101, 103, 105, 107, 108 or 109.
Offered: Spring And Fall
Credits: 3

MATH 103Q: Elementary Discrete Mathematics Link: More Info
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 101 or equivalent. Not open for credit to students who have passed any MATH course other than MATH 101, 102, 105, 107, 108 or 109.
Offered: Spring And Fall
Credits: 3

MATH 104Q: Introductory College Algebra and Mathematical Modeling Link: More Info
Description: Five class periods. Not open for credit to students who have passed MATH 101, 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 100-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: Spring And Fall
Credits: 3

MATH 105Q: Mathematics for Business and Economics Link: More Info
Description: Linear equations and inequalities, exponents and logarithms, matrices and determinants, linear programming. Applications.
Prerequisites: Recommended preparation: MATH 101 or the equivalent.
Offered: Spring And Fall
Credits: 3

MATH 106Q: Calculus for Business and Economics Link: More Info
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 101 or the equivalent.
Offered: Spring And Fall
Credits: 3

MATH 107Q: Elementary Mathematical Modeling Link: More Info
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 101 or the equivalent. Not open to students who have passed any MATH course other than MATH 101, 102, 103, 105, 108. This course and MATH 109 cannot be taken for credit. This course should not be considered as adequate preparation for MATH 106, 112, 115, or 120. 
Offered: Spring And Fall
Credits: 3

MATH 108QC: Mathematical Modeling in the Environment Link: More Info
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 101 or the equivalent.. A solid background and good performance in high school algebra are highly recommended. 
Offered: Fall
Credits: 3

MATH 109Q: Pre Calculus Link: More Info
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 101 or the equivalent. Not open for credit to students who have passed MATH 112, 115, or 120. Students may not recieve credit for this course and MATH 107.
Offered: Spring And Fall
Credits: 3

MATH 112Q: Introductory Calculus 1 Link: More Info
Description: Limits, derivatives, and extreme values of algebraic functions, with supporting algebraic topics.
Prerequisites: Recommended preparation: MATH 101 or the equivalent. Students cannot receive credit for MATH 112 and either MATH 115 or MATH 120. Students who have not passed the Calculus Readiness Test take this course rather than MATH 115 or MATH 120. 
Offered: Spring And Fall
Credits: 4

MATH 113Q: Introductory Calculus 2 Link: More Info
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 112. Recommended preparation: A grade of C- or better in MATH 112. Students cannot receive credit for MATH 113 and either MATH 115 or MATH 120. May be used in place of MATH 115 or 120 to fulfill any requirement satisfied by MATH 115 or 120.
Offered: Spring And Fall
Credits: 4

MATH 114Q: Introductory Calculus 3 Link: More Info
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 113. Recommended preparation: A grade of C- or better in MATH 113. Note: MATH 115 is not adequate preparation for MATH 114. Not open for credit to students who have passed MATH 116 or 121. 
Offered: Spring And Fall
Credits: 4

MATH 115Q: Calculus I Link: More Info
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 115 and either MATH 112, 113, or 120. Suitable for students with some prior calculus experience. May be used in place of MATH 112 or 120 to fulfill any requirement satisfied by MATH 112 or 120. 
Offered: Spring And Fall
Credits: 4

MATH 116Q: Calculus II Link: More Info
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 113 or 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 113 and 115. Not open to students who have passed MATH 114 or MATH 121. Substitutes for MATH 114 or 121 as a requirement. 
Offered: Spring And Fall
Credits: 4

MATH 118Q: A Survey of Calculus with Applications I Link: More Info
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 101 or the equivalent. Not open for credit to students who have passed MATH 106, 113, 115, or 120. 
Offered: Spring And Fall
Credits: 3

MATH 120Q: Enhanced Calculus I Link: More Info
Description: The subject matter of MATH 115 in greater depth, with emphasis on the underlying mathematical concepts
Prerequisites: Passing score on the Calculus Readiness Test. Students cannot receive credit for MATH 120 and either MATH 113 or 115. May be used in place of MATH 113 or 115 to fulfill any requirement satisfied by MATH 113 or 115. Intended to provide superior preparation for prospective mathematics, science and engineering majors. Recommended for those who have taken a semester of calculus in high school. 
Credits: 4

MATH 121Q: Enhanced Calculus II Link: More Info
Description: The subject matter of MATH 116 in greater depth, with emphasis on the underlying mathematical concepts.
Prerequisites: MATH 120 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. Not open for credit to students who have passed MATH 114 or 116. May be used in place of MATH 114 or 116 to fulfill any requirement satisfied by MATH 114 or 116. Intended to provide superior preparation for prospective mathematics, science and engineering majors. Recommended for those who have taken a semester of calculus in high school.
Credits: 4

MATH 135Q: Honors Calculus I Link: More Info
Description: (Formerly offered as MATH 120Q.) First semester. Four credits. Students cannot receive credit for MATH 135 and either MATH 113, 115, or 120. May be used in place of MATH 115 to fulfill any requirement satisfied by MATH 115.
Prerequisites: Passing score on the Calculus Placement Survey
Offered: Fall
Credits: 4

MATH 136Q: Honors Calculus II Link: More Info
Description: (Formerly offered as MATH 121Q.) Both semesters. Four credits. The subject matter of MATH 116 in greater depth, with emphasis on the underlying mathematical concepts.
Prerequisites: MATH 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: Spring And Fall
Credits: 4

MATH 193: Foreign Study Link: More Info
Description: May be repeated for credit (to a maximum of 15 for MATH 193 and 293 together). Consent of the Department Head or Undergraduate Coordinator required, normally before the student\'s departure.
Credits: non-credit

MATH 195Q: Introductory College Algebra and Mathematical Modelling Link: More Info
Credits: non-credit

MATH 200: Undergraduate Seminar I Link: More Info
Description: The student will attend 6-8 seminars per semester, and choose one mathematical topic 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.
Offered: Spring And Fall
Credits: non-credit

MATH 201W: Undergraduate Seminar II Link: More Info
Prerequisites: MATH 200; ENGL 105 or 110 or 111 or 250.
Offered: Spring And Fall
Credits: non-credit

MATH 202W: Pedagogical Seminar Link: More Info
Description: Weekly seminars and short essays reflecting on the learning experiences and content of MATH 210.
Prerequisites: ENGL 105 or 110 or 111 or 250. Open to sophomores. There is also a corequisite: MATH210Q
Offered: Spring And Fall
Credits: 1

MATH 204: Introduction to Mathematical Modeling Link: More Info
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 221; or MATH 211 and 227. Knowledge of a programming language is strongly recommended. Not open for credit to students who have passed MATH 304 or 305, CHEM 305, or PHYS 305.
Offered: Fall
Credits: 3

MATH 210Q: Multivariable Calculus Link: More Info
Description: Two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals.
Prerequisites: MATH 116, 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 MATH116. Not open for credit to students who have passed MATH 220. Open to sophomores or higher. 
Offered: Spring And Fall
Credits: 4

MATH 211Q: Elementary Differential Equations Link: More Info
Description: Introduction to ordinary differential equations and their applications, linear differential equations, systems of first order linear equations, numerical methods.
Prerequisites: MATH116, or 121. Recommended preparation:  A grade of C- or better in MATH 116; and  MATH 210 or 220. Not open for credit to students who have passed MATH 221. Open to sophomores or higher. 
Offered: Spring And Fall
Credits: 3

MATH 213: Transition to Advanced Mathematics Link: More Info
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 210 or 220 or consent of instructor.
Offered: Spring And Fall
Credits: 3

MATH 215: Linear Algebra Link: More Info
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 227 and either Math 213 or Math 214
Offered: Spring
Credits: 3

MATH 216: Abstract Algebra I Link: More Info
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 213 and a linear algebra course are prerequisites.
Prerequisites: MATH 213 or 214. Recommended preparation: MATH 215 or 227. 
Offered: Fall
Credits: 3

MATH 217: Abstract Algebra II Link: More Info
Description: The main goal of this course is to discuss Galois theory. At its simplest level, Galois theory is the study of relationships among roots of polynomials using techniques from group theory and linear algebra. For example, we will see that there is no formula analogous to the quadratic formula for the roots of xn - x - 1 when n > 5, or in fact for the roots of most polynomials of degree at least 5. The reason such root formulas do not exist is connected with group-theoretic properties of the symmetric group Sn when n > 5. More generally, Galois theory provides a correspondence between two different topics in algebra: groups and field extensions. This correspondence lets results about one of these topics be used to say something about the other topic. The correspondence between groups and field extensions in Galois theory is the prototype for other "dictionaries" in mathematics relating different mathematical structures. Of course, Galois theory is not the only topic that should be seen in a 2nd course on abstract algebra. Time permitting, additional topics that could be discussed will be selected from multilinear algebra, commutative algebra, and algebraic geometry.
Prerequisites: A prerequisite for this course is a solid grasp of Math 216 and mathematical maturity.
Offered: Spring (odd Years)
Credits: 3

MATH 220Q: Enhanced Multivariable Calculus Link: More Info
Description: The subject matter of MATH 210 in greater depth, with emphasis on the underlying mathematical concepts.
Prerequisites: MATH 121 or instructor consent . Open to sophomores or higher. Not open to students who have passed MATH 210. MATH 220
Credits: 4

MATH 221Q: Enhanced Differential Equations Link: More Info
Description: The subject matter of MATH 211 in greater depth, with emphasis on the underlying mathematical concepts.
Offered: Spring
Credits: 3

MATH 223Q: Geometry Link: More Info
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 113 or 115 or 120. MATH 113 may be taken concurrently.
Offered: Spring And Fall
Credits: 3

MATH 225: Differential Geometry Link: More Info
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 210 and 211, and MATH 213 or 214
Offered: Fall (even Years)
Credits: 3

MATH 227Q: Applied Linear Algebra Link: More Info
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 116 or 121. Recommended Preparation: grade of C- or better in MATH 116. Not open for credit to students who have passed MATH 215.
Offered: Spring And Fall
Credits: 3

MATH 230Q: Honors Multivariable Calculus Link: More Info
Description: 230Q. Honors Multivariable Calculus (Formerly offered as MATH 220Q.) Both semesters. Four credits. Prerequisite: MATH 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 210 or 245. May be used in place of MATH 210 to fulfill any requirement satisfied by MATH 210. The subject matter of MATH 210 in greater depth, with emphasis on the underlying mathematical concepts.
Offered: Spring And Fall
Credits: 3

MATH 231: Probability Link: More Info
Description: Introduction to the theory of probability. Discussion of some of the probability problems encountered in scientific and business fields.
Prerequisites: MATH 210 or 220, which may be taken concurrently with the consent of the instructor. Not open if passed MATH 283 or 284.
Offered: Spring And Fall
Credits: 3

MATH 232: Introduction to Stochastic Processes Link: More Info
Description: A sequel to Math 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 220 or 224 or 230 or MATH 231.
Offered: Spring
Credits: 3

MATH 235: Introduction to Mathematical Logic Link: More Info
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 213 or 214 or CSE 207. PHIL 211 is recommended.
Offered: Spring (odd Years)
Credits: 3

MATH 236: Introduction to Actuarial Science Link: More Info
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: Spring And Fall
Credits: 3

MATH 238: Actuarial Statistics Link: More Info
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 231 and STAT 230.
Credits: 3

MATH 242W: History of Mathematics Link: More Info
Description: A historical study of the growth of the various fields of mathematics.
Prerequisites: MATH (210Q and 211Q) or MATH 221Q; ENGL 105 or 110 or 111 or 250.
Offered: Spring And Fall
Credits: 3

MATH 243Q: Advanced Calculus I Link: More Info
Description: A year of calculus (that may include high school) and instructor consent. MATH 243Q may be used in place of MATH 115 or 135 to fulfill any requirement satisfied by MATH 115 or 135. MATH 244Q may be used in place of MATH 116 or 136 to fulfill any requirement satisfied by MATH 116 or 136.
Offered: Fall
Credits: 3

MATH 244Q: Advanced Calculus II Link: More Info
Description: Both semesters. 4 credits each semester. May be taken for honors credit but open to any qualified student. Open to sophomores or higher. Prerequisite: A year of calculus (that may include high school) and instructor consent. MATH 243Q may be used in place of MATH 115 or 135 to fulfill any requirement satisfied by MATH 115 or 135. MATH 244Q may be used in place of MATH 116 or 136 to fulfill any requirement satisfied by MATH 116 or 136. 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.
Offered: Spring
Credits: 4

MATH 245Q: Advanced Calculus III Link: More Info
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.
Prerequisites: MATH 244Q or consent of instructor. MATH 245 may be used in place of MATH 210 to fulfill any requirement satisfied by MATH 210.
Offered: Fall
Credits: 4

MATH 246Q: Advanced Calculus IV Link: More Info
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.
Prerequisites: MATH 245Q or consent of the instructor. MATH 246 may be used in place of MATH 211 to fulfill any requirement satisfied by MATH 211.
Offered: Spring
Credits: 4

MATH 247Q: Fundamentals of Algebra and Geometry Link: More Info
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 132 and three credits of Mathematics other that MATH 101. Not open for credit to students who have passed MATH 210, 211, 220 or 248.
Offered: Fall
Credits: 3

MATH 248Q: Fundamentals of Algebra and Geometry Link: More Info
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 132 and three credits of Mathematics other than MATH 101. Not open for credit to students who have passed MATH 210 or 211 or 220.
Offered: Spring
Credits: 3

MATH 250: Elements of Topology Link: More Info
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 213 or 214. 
Offered: Spring (even Years)
Credits: 3

MATH 252: Introduction to Complex Variables Link: More Info
Description: Functions of a complex variable, integration in the complex plane, conformal mappings.
Prerequisites: MATH 210 and 211, or 221. Not open for credit to students who have passed MATH 352.
Offered: Spring And Fall
Credits: 3

MATH 258: Introduction to Number Theory Link: More Info
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 213 or 214
Offered: Fall
Credits: 3

MATH 261: Introduction to Modern Analysis Link: More Info
Prerequisites: Consent of Instructor
Offered: Fall
Credits: 3

MATH 265: Abstract Algebra I Link: More Info
Prerequisites: Consent of Instructor
Offered: Fall
Credits: 3

MATH 267: Introduction to Geometry and Topology Link: More Info
Prerequisites: Consent of Instructor
Offered: Fall
Credits: 3

MATH 272: Differential Equations for Applications Link: More Info
Description: Series solutions of differential equations, Bessel functions, Fourier series, partial differential equations and boundary value problems, nonlinear differential equations. GEOC
Prerequisites: MATH 210 and 211, or 221. Not open for credit to students who have passed MATH 279.
Offered: Spring And Fall
Credits: 3

MATH 273: Analysis I Link: More Info
Description: ntroduction to the theory of functions of one and several real variables.
Prerequisites: MATH 213 or 214; MATH 211 or 221.
Offered: Spring And Fall
Credits: 3

MATH 274: Analysis II Link: More Info
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 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 213 or 214, and 211 or 221.
Offered: Spring
Credits: 3

MATH 276: Actuarial Models Link: More Info
Description: Introduction to the design of computerized simulations for analyzing and interpreting actuarial and financial problems. This course, together with MATH 392, 393, and 395, helps the student prepare for the actuarial examination on the construction and evaluation of risk models.
Prerequisites: Either semester. Three credits. Prerequisite: MATH 231 or STAT 220 or 230; and MATH 285.
Offered: Spring
Credits: 3

MATH 279: Introduction to Field Theory Link: More Info
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 210 and 211. Not open for credit to students who have passed MATH 272Q.
Credits: 3

MATH 280: Financial Mathematics Problems Link: More Info
Description: Both semesters. One credit. Prerequisite: MATH 285. 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.
Offered: Spring And Fall
Credits: 1

MATH 281: Numerical Analysis I Link: More Info
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 210, 211, and either 215 or 227; and knowledge of at least one programming language.
Offered: Fall
Credits: 3

MATH 282: Numerical Analysis II Link: More Info
Description: This is a second introductory course to modern numerical techniques, i.e., a sequel to Mathematics 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 281. 
Offered: Spring
Credits: 3

MATH 283: Calculus & Probability Problems Link: More Info
Description: Problems in calculus and probability designed to help students prepare for the first actuarial examination.
Prerequisites: MATH 210 and 231.
Offered: Spring And Fall
Credits: 3

MATH 284: Advanced Financial Math Link: More Info
Offered: Fall
Credits: 0

MATH 285: Financial Mathematics I Link: More Info
Description: The mathematics of measurement of interest, accumulation and discount, present value, annuities, loans, bonds, and other securities.
Prerequisites: MATH 114, 116 or 121. Not open to students who have taken MATH 287, 289 or 365.
Offered: Spring And Fall
Credits: 3

MATH 286: Introduction to Operations Research Link: More Info
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 231 or STAT 220 or 230. Not open for credit to students who have passed STAT 286 or 356
Credits: 3

MATH 287: Actuarial Mathematics Link: More Info
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 231Q or STAT 230Q; MATH 285Q, which may be taken concurrently.
Offered: Fall
Credits: 3

MATH 288: Actuarial Mathematics Link: More Info
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 231 or STAT 230; and MATH 285, which may be taken concurrently
Offered: Spring
Credits: 3

MATH 289: Financial Mathematics II Link: More Info
Description: The continuation of MATH 285Q. Measurement of financial risk, the mathematics of capital budgeting, mathematical analysis of financial decisions and capital structure, and option pricing theory.
Prerequisites: MATH 285. Also ACCT 131, which may be taken concurrently.
Offered: Spring
Credits: 3

MATH 290: Field Study Internship Link: More Info
Description: Either or both semesters. One to three credits. 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. Prerequisite: Completion of lower division requisite courses in the major. Students taking this course will be assigned a final grade of S (satisfactory) or U (unsatistactory.)
Prerequisites: Completion of freshmen - sophomore level requisite courses in the major; open to juniors or higher
Credits: 1-6

MATH 291W: Technical Writing for Actuaries Link: More Info
Description: Either semester. One credit. Must be taken concurrently with MATH 290. Prerequisite: ENGL 105 or 110 or 111 or 250. Consent of Director of Actuarial Science required. Students will write a technical report detailing their experiences in the associated Field Study Internship (MATH 290).
Prerequisites: Prerequisite: ENGL 105 or 110 or 111 or 250.
Offered: Spring
Credits: 1

MATH 292W: Senior Thesis in Mathematics Link: More Info
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: English 105 or 110 or 111 or 250; open to juniors or higher.
Credits: non-credit

MATH 296: Problem Seminar Link: More Info
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 114, 116, or 121.
Offered: Fall
Credits: non-credit

MATH 297: Undergraduate Seminar Link: More Info
Description: This course, with a change of topic, may be repeated for credit.
Prerequisites: Open to juniors or higher.
Offered: Spring And Fall
Credits: 3

MATH 298: Special Topics Link: More Info
Description: Either semester. Credits and hours by arrangement. With a change in content, may be repeated for credit. Prerequisites and recommended preparation vary.
Credits: non-credit

MATH 299: Independent Study Link: More Info
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.
Credits: non-credit


 
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