AMAT 100 Precalculus Mathematics (3)
This course provides a background in those topics that are needed for success in calculus. Topics include graphing techniques, systems of equations, functions, logarithms, and trigonometry. May not be taken for credit by students with credit in any calculus course. Prerequisite(s): three years of high school mathematics or permission of department.
AMAT 101 Algebra and Calculus I (3)
An integrated approach to precalculus and calculus. Elements of algebra and analytic geometry necessary to study calculus of one variable. Functions, limits, continuity, differentiation of algebraic functions, applications of differentiation. May not be taken for credit by students with credit for AMAT 100, 106, 112, or 118. Prerequisite(s): three years of high school mathematics or permission of the department.
AMAT 104 Topics in Contemporary Mathematics (3)
An introduction to application of mathematics to everyday life requiring a background of only standard high school mathematics (intermediate algebra and a little Euclidean geometry). Suggested topics include the mathematics of voting, management science through graph theory, and growth and symmetry. Prerequisite(s): two years of high school mathematics.
AMAT 105 Finite Mathematics (3)
An introduction to topics of interest to students of the social sciences; sets and logic, partitions and counting, probability, vectors and matrices, theory of games. Prerequisite(s): three years of high school mathematics.
AMAT 106 Survey of Calculus (3)
An intuitive approach to differentiation and integration of algebraic and transcendental functions, intended only for students who plan to take no more calculus. Does not yield credit toward the major or minor in mathematics. May not be taken for credit by students with credit for AMAT 111, 112, 118 or TMAT 118. Prerequisite(s): three years of high school mathematics.
AMAT 108 Elementary Statistics (3)
Frequency distributions, measures of central tendency and dispersion, probability and sampling, estimation, testing of hypotheses, linear regression, and correlation. Only one of AMAT 108 and BITM 220 may be taken for credit. Not open for credit by students who have taken AMAT 308. Prerequisite(s): three years of high school mathematics.
TMAT 108 Honors Elementary Statistics (4)
Frequency distributions, measures of central tendency and dispersion, probability and sampling, estimation, testing of hypotheses, linear regression, and correlation. In addition, in a special weekly session, students will also a) learn the statistical program R, and b) carry out hands on statistical projects related to the topics of the course that include gathering data, statistical analysis and summary report. TMAT 108 substitutes for AMAT 108 toward the prerequisite in any course. Only one of AMAT 108 and TMAT 108 may be taken for credit. Not open for credit by students who have taken AMAT 308. This course is for students enrolled in the Honors College. Prerequisite(s): three years of high school mathematics.
AMAT 111 Algebra and Calculus II (4)
The second semester of an integrated approach to precalculus and calculus; serves as a prerequisite to AMAT 113. Applications of differentiation, the definite integral, antiderivatives, logarithms, trigonometry, exponential functions. Only one of AMAT 111, 112, 118 or TMAT 118 may be taken for credit. Prerequisite(s): AMAT 101.
AMAT 112 Calculus I (4)
Calculus of one variable. Limits, continuity, differentiation of algebraic functions, applications of differentiation, anti-derivatives, the definite integral, transcendental functions. AMAT 118 is the honors version of AMAT 112 and substitutes for AMAT 112 toward the prerequisite in any course. Only one of AMAT 111, 112, 118 and TMAT 118 may be taken for credit. Prerequisite(s): recommended precalculus at the high school or college level. Students without precalculus should elect AMAT 100. Revised 10/18/2022.
AMAT 113 Calculus II (4)
Techniques of integration, applications of the definite integral, conics, polar coordinates, improper integrals, infinite series. Prerequisite(s): A Mat 111 or 112.
AMAT 118 Honors Calculus I (4)
Calculus of one variable. Limits, continuity, differentiation of algebraic functions, applications of differentiation, anti-derivatives, the definite integral, transcendental functions. Honors version of first semester calculus. Same topics as AMAT 112, but topics are covered in greater depth. This course is for students with more than average ability and more than average interest in mathematics. AMAT 118 substitutes for AMAT 112 toward the prerequisite in any course. Only one of AMAT 111, 112, 118 and TMAT 118 may be taken for credit. Prerequisite(s): recommended precalculus at the high school or college level. Students without precalculus should elect AMAT 100. Open to Honors College students only.
TMAT 118 Honors Calculus I Honors College (4)
Calculus of one variable. Limits, continuity, differentiation of algebraic functions, applications of differentiation, anti-derivatives, the definite integral, transcendental functions. TMAT 118 is the Honors College version of AMAT 112. Same topics as AMAT 112, but topics are covered in greater depth. This course is for students with more than average ability and more than average interest in mathematics. TMAT 118 substitutes for AMAT 112 toward the prerequisite in any course. Only one of AMAT 111, AMAT 112, AMAT 118, and TMAT 118 may be taken for credit. Offered fall semester only. Prerequisite(s): AMAT 100 or precalculus at the high school or college level. Open to Honors College students only.
AMAT 119 Honors Calculus II (4)
Techniques of integration, applications of the definite integral, conics, polar coordinates, improper integrals, infinite series. Honors version of second semester calculus. Same topics as AMAT 113, but topics are covered in greater depth. This course is for students with more than average ability and more than average interest in mathematics. AMAT 119 substitutes for AMAT 113 toward the prerequisite in any course. Only one of AMAT 113, 119, and TMAT 119 may be taken for credit. Prerequisite(s): AMAT 118, a grade of A in AMAT 112, or permission of instructor. Offered spring semester only.
TMAT 119 Honors Calculus II Honor College (4)
Techniques of integration, applications of the definite integral, conics, polar coordinates, improper integrals, infinite series. Honors version of second semester calculus. Honors College version of second semester calculus. Same topics as AMAT 113, but topics are covered in greater depth. This course is for students with more than average ability and more than average interest in mathematics. TMAT 119 substitutes for AMAT 113 toward the prerequisite in any course. Only one of AMAT 113, 119, and TMAT 119 may be taken for credit. Prerequisite(s): AMAT 118, or TMAT 118, or a grade of A in AMAT 112, or permission of instructor. Open to Honors College Students only. Offered spring semester only.
AMAT 214 Calculus of Several Variables (4)
Curves and vectors in the plane, geometry of three-dimensional space, vector functions in three-space, partial derivatives, multiple integrals, line and surface integrals. Prerequisite(s): AMAT 113 or 119.
AMAT 215 Ordinary Differential Equations (3)
(Formerly AMAT 311) Linear differential equations, systems of differential equations, series solutions, boundary value problems, existence theorems, applications to the sciences. Prerequisite(s): AMAT 214.
AMAT 218 Honors Calculus of Several Variables (4)
Same topics as AMAT 214, but topics are covered in greater depth. This course is for students with more than average ability and more than average interest in mathematics. AMAT 218 substitutes for AMAT 214 towards the prerequisites in any course. TMAT 218 is the Honors College version of AMAT 218. Only one of AMAT 214, AMAT 218 and TMAT 218 may be taken for credit. Prerequisite(s): AMAT 119 or TMAT 119, or grade of A in AMAT 113, or permission of the instructor. Offered spring semester only.
TMAT 218 (formerly TMAT 214) Honors Calculus of Several Variables (4)
Honors version of third semester calculus. Same topics as AMAT 214, but topics are covered in greater depth. This course is for students with more than average ability and more than average interest in mathematics. TMAT 218 substitutes for AMAT 214 towards the prerequisites in any course. TMAT 218 is the Honors College version of AMAT 218. Only one of AMAT 214, AMAT 218 and TMAT 218 may be taken for credit. Prerequisite(s): AMAT 113. Open to Honors College students only. Offered fall semester only.
AMAT 220 Linear Algebra (3)
Linear equations, matrices, determinants, finite dimensional vector spaces, linear transformations Euclidean spaces. Prerequisite(s): AMAT 113.
AMAT 222 Honors Linear Algebra (3)
Honors version of linear algebra. Same topics as AMAT 220, but topics are covered in more depth, with more emphasis on theory. This course is for students with more than average ability and more than average interest in mathematics. AMAT 222 substitutes for AMAT 220 towards the prerequisites in any course. Only one of AMAT 222, TMAT 222, and AMAT 220 may be taken for credit. Prerequisite(s): grade of A in AMAT 113 or AMAT 214, and permission of the instructor, or a grade of B+ in AMAT 119, TMAT 119, AMAT 218, or TMAT 218. Offered spring semester only.
TMAT 222 Honors Linear Algebra (3)
Honors version of linear algebra. Same topics as AMAT 220, but topics are covered in more depth, with more emphasis on theory. This course is for students with more than average ability and more than average interest in mathematics. TMAT 222 substitutes for AMAT 220 towards the prerequisites in any course. TMAT 222 is the Honors College version of AMAT 222. Only one of AMAT 222, TMAT 222, and AMAT 220 may be taken for credit. Prerequisite(s): grade of A in AMAT 113 or AMAT 214, and permission of the instructor, or a grade of B+ in AMAT 119 , TMAT 119, AMAT 218, or TMAT 218. Open to Honors College students only. Offered spring semester only.
TMAT 252W An Introduction to the Great Theorems of Mathematics
This course for the honors College is an introduction to the great theorems of mathematics in geometry, algebra, number theory, analysis and statistics. The course is designed for students of all majors. Students will develop an appreciation for different branches of mathematics. Step-by-step proofs of some theorems of Pythagoras, Euclid, Archimedes, Heron, Cardano, Newton, Fermat, Euler, Gauss and Cantor will be provided by lectures, class discussions, writing projects and class presentations. Students will learn how these theorems fit into the history of mathematics. Pascal's triangle and the binomial theorem, the Chinese remainder theorem, Pell's equations, Wilson's theorem, the bridges of Konigsberg problem, the four color theorem and the central limit theorem will also be discussed. Prerequisites: High school mathematics through pre-calculus. Open to Honors College students only.
AMAT 287/287Z Topics Involving Mathematics (1-3)
Selected topics in mathematics. The topic of the course will be indicated in the course schedule and in departmental announcements. May be repeated for credit when content varies.
AMAT 298 Information Literacy in Mathematics and Statistics (1)
Students majoring in mathematics and statistics need to be information literate both in regard to the information environment in that field, and also more generally for their role as informed citizens. This course will address both of these needs. The literature of the field will take a central place in the course, including identifying an information need, understanding the organization of resource materials and learning how to best tap into them. Students will be introduced to the complexities of the information environment, in the field and in general, and the personal dispositions that will allow them to be flexible and effective when hunting for information. Students will gain experience searching the key research tool MathSciNet, but will also be introduced to appropriate databases, including Web of Science, INSPEC, and more. Only one of UUNL 299 and AMAT 298 may be taken for credit. Corequisite(s): AMAT 300.
AMAT 300 Introduction to Proofs (3)
(Formerly AMAT 299) Introduction to the methods of higher mathematics, with emphasis on how to read, understand, discover, and write proofs. Topics include basic logic, sets, functions, relations, mathematical induction, countable and uncountable sets, and elementary number theory. This course will require a significant amount of written and oral presentation. Students may receive credit for only one of ICSI 221, AMAT 221, AMAT 299, and AMAT 300. Prerequisite(s): Mathematics major; one of AMAT 113, 119, 214 or 218 with a grade of C or better.
AMAT 301/AECO 351 Theory of Interest (3)
The basic measures of interest, annuities, sinking funds, amortization schedules, bonds, and installment loans. Recommended as preparation for Actuarial Society exam FM. Only one version of AMAT 301 may be taken for credit. Prerequisite(s): AMAT 113.
AMAT 308 Topics in Statistical Inference (3)
Various statistical techniques such as chi-square tests, multiple regression and correlation; nonparametric statistics, and the analysis of variance as applied to physical, biological, and social sciences. Prerequisite(s): some prior experience with elementary statistics. Offered spring semester only.
AMAT 312/312Z Basic Analysis (3)
Theoretical aspects of calculus including construction of the real numbers, differentiation and integration of functions in one variable, continuity, convergence, sequences and series of functions. AMAT 312Z is the writing intensive version of AMAT 312; only one may be taken for credit. Prerequisite(s): AMAT 214 and AMAT 299.
AMAT 314 Analysis for Applications I (3)
Introduction to topics in mathematical analysis which traditionally have been applied to the physical sciences, including vector analysis, Fourier series, ordinary differential equations, and the calculus of variations. Prerequisite(s): AMAT 214 and 220. Offered fall semester only.
AMAT 315 Analysis for Applications II (3)
Continuation of AMAT 314. Series solutions of differential equations, partial differential equations, complex variables, and integral transforms. Prerequisite(s): AMAT 314. Offered spring semester only.
AMAT 326 Classical Algebra (3)
Elementary number theory. Elementary theory of equations over rational, real, and complex fields. Prerequisite(s): AMAT 113 or AMAT 119, AMAT 220, and AMAT 299 or permission of instructor.
AMAT 327/327Z Elementary Abstract Algebra (3)
Basic concepts of groups, rings, integral domains, fields. AMAT 327Z is the writing intensive version of AMAT 327; only one may be taken for credit. Prerequisite(s): AMAT 220, AMAT 299, and AMAT 326.
AMAT 328 Introduction to Combinatorics (3)
The pigeonhole principle. Basic discrete structures and their enumeration: permutations, combinations, partitions, Catalan numbers. Generalizations of the binomial theorem and related identities. The principle of inclusion-exclusion. Recurrence relations and generating functions. Introduction to graph theory: Eulerian walks, Hamiltonian cycles, trees, matchings, coloring maps. Prerequisite(s): AMAT 221 or AMAT 299. Offered fall semester only.
AMAT 331/331Z Transformation Geometry (3)
Classical theorems of Menelaus, Ceva, Desargues, and Pappus. Isometries, similarities, and affine transformations for Euclidean geometry. AMAT 331Z is the writing intensive version of AMAT 331; only one may be taken for credit. Prerequisite(s): AMAT 220 and AMAT 299. Usually offered spring semester only.
AMAT 342/342Z Elementary Topology (3)
Networks, map coloring problems, surfaces, topological equivalence, the Euler number, the polygonal Jordan curve theorem, homotopy, the index of a transformation, and the Brouwer Fixed Point Theorem. AMAT 342Z is the writing intensive version of AMAT 342; only one may be taken for credit. Prerequisite(s): AMAT 214, AMAT 220, and AMAT 299. Usually offered fall semester only.
AMAT 362/362Z Probability for Statistics (3)
Introduction to discrete and continuous probability models, including probability mass functions, density functions and cumulative distribution functions. Discrete examples will include the binomial, negative binomial, Poisson, and hypergeometric distributions. Continuous distributions will include the normal and exponential distributions, the family of gamma and beta densities, and, if time permits, t and chi-square distributions. Other topics are the probability axioms, equally likely sample spaces (combinatorics), conditional probability, joint distributions, marginal distributions, conditional distributions, covariance, correlation, moment generating functions and the Central Limit Theorem. AMAT 362Z is the writing intensive version of AMAT 362; only one may be taken for credit. AMAT 362 constitutes substantial preparation for Actuarial Exam P. A student may not apply both AMAT 362 and AMAT 367 towards a major or minor in mathematics or a minor in statistics. Prerequisite(s): AMAT 214 and AMAT 299.
AMAT 363/363Z Statistics (3)
A calculus-based introduction to statistics. Confidence intervals and hypothesis tests for means and variances, differences of means and ratios of variances, including P-values, power functions and sample size estimates and involving normal, binomial, t, chi-square, and F distributions. Additional topics may include introductions to simple linear regression, Bayesian statistics, sample survey methods, goodness of fit tests, non-parametric tests, or analysis of variance. Only one version of AMAT 363 may be taken for credit. Students with credit for AMAT 367 but who have not taken AMAT 362 may take AMAT 363 only with permission of instructor. Students with credit for AMAT 368 may not take AMAT 363. Prerequisite(s): AMAT 362.
AMAT 367/367Z Discrete Probability (3)
Introduction to discrete probability models (including the binomial, negative binomial, Poisson, and hypergeometric distributions, their means, variances and cumulative distribution functions). Other topics include probability axioms, equally likely sample spaces (combinatorics), conditional probability, the gamblers' ruin problem, finite state Markov chains, moment generating functions, joint distributions (including the multinomial distribution), marginal distributions, conditional distributions, covariance and correlation, the weak law of large numbers, and, if time permits, the Central Limit Theorem. Students who intend to take AMAT 363 should take AMAT 362, not AMAT 367. Students who have taken AMAT 367 and who wish to take a first statistics course can take AMAT 308. Actuarial students who need continuous as well as discrete probability, should take AMAT 362 (which constitutes substantial preparation for Actuarial Exam P). A student may not apply both AMAT 362 and AMAT 367 toward any major or minor in mathematics or a minor in statistics. Only one version of AMAT 367 may be taken for credit. Prerequisite(s): AMAT 113 or 119, plus 6 credits at the 200 or higher level in either mathematics or computer science.
AMAT 369 Statistics and Data Analysis (3)
A topics course whose content will vary somewhat from semester to semester. In the recent past the course has focused on analysis of variance, categorical data analysis, distribution free methods, and survey sampling. Other possible topics include Bayesian statistics, bootstrap methods, log-linear models, lifetime distributions, Kaplan-Meier estimators, and the Mantel-Haenszel test. Topics covered in AMAT 465 (multiple regression and time series) would be avoided. May be repeated for credit with permission of instructor. Prerequisite(s): AMAT 363.
AMAT 370 Probability and Statistics for Engineering and the Sciences (3)
Basic probability, conditional probability and independence, families of discrete and continuous random variables, expected values and variances, moment generating functions, bivariate distributions, Bayesian networks, law of large numbers and central limit theorem, normal, t, and chi-square distributions, confidence intervals and hypothesis testing and simple linear regressions. AMAT 370 is a one semester introduction to probability and statistics intended primarily for science or engineering majors who have completed two semesters of calculus. Students cannot apply both AMAT 362 and AMAT 370 or both AMAT 363 and AMAT 370 toward the requirements for a Mathematics major. AMAT 370 fulfills the probability/statistics requirement for the Mathematics BA. AMAT 367 and AMAT 370 can be one of the two sequences required for the B.S. in Mathematics. Students who expect to do graduate work in mathematics or statistics should take both AMAT 362 and AMAT 363, not AMAT 370. Prerequisite(s): AMAT 367 or ICEN/ICSI 210. Offered fall semester only.
AMAT 372/372Z Linear Programming and Game Theory (3)
Theory and methods of linear programming, duality theory, and matrix games, including the simplex algorithm and an introduction to interior point methods. AMAT 372Z is the writing intensive version of AMAT 372; only one version may be taken for credit. Prerequisite(s): AMAT 214 and 220.
AMAT 374 Operations Research (3)
Operations research techniques and applications, linear programming, queuing theory, including birth and death processes, decision theory, network analysis, simulation. Prerequisite(s): AMAT 362 or 367 or permission of instructor.
AMAT 401 Numerical Analysis (3)
Error analysis, numerical solution of nonlinear equations, interpolation and polynomial approximation, numerical differentiation and integration, direct methods for solving linear systems. Not more than one of AMAT 313 or 401 may be taken for credit. Prerequisite(s): AMAT 220. Offered fall semester only.
AMAT 403 Life Contingencies I (3)
Treatment of single and joint lives including mortality functions, various kinds of annuities and life insurance, premiums, reserves and standard actuarial notations for these concepts. Recommended as partial preparation for Actuarial Exam M. Prerequisite(s): AMAT 301, 362, 363. Offered fall semester only.
AMAT 404 Life Contingencies II (3)
Expansion of AMAT 403 with emphasis on two or more lives in combination and on multiple causes of decrement. Topics include population theory, multi-life statuses, multi-life functions, reversionary annuities, multiple-decrement functions, primary and secondary decrements, and applications of multiple-decrement functions. Prerequisite(s): AMAT 403. Offered spring semester only.
AMAT 409 Vector Analysis (3)
Classical vector analysis presented heuristically and in physical terms. Topics include the integral theorems of Gauss, Green, and Stokes. Prerequisite(s): AMAT 214. Offered spring semester only.
AMAT 412/412Z Complex Variables for Applications (3)
The elementary functions, differentiation, conformal transformations, power series, integral theorems, Taylor’s theorems, Taylor’s and Laurent’s expansions, applications of residues. Only one version of AMAT 412 may be taken for credit. Prerequisite(s): AMAT 214. Offered spring semester only.
AMAT 413/413Z Advanced Calculus I (3)
A rigorous presentation of the traditional topics in the calculus of several variables and their applications. Topics include the implicit function theorem, Taylor's theorem, Lagrange multipliers, Stieltjes integral, Stokes' theorem, infinite series, Fourier series, special functions, Laplace transforms. Only one version of AMAT 413 may be taken for credit. Prerequisite(s): AMAT 312. Offered fall semester only.
AMAT 414 Advanced Calculus II (3)
A rigorous presentation of the traditional topics in the calculus of several variables and their applications. Topics include the implicit function theorem, Taylor's theorem, Lagrange multipliers, Stieltjes integral, Stokes' theorem, infinite series, Fourier series, special functions, Laplace transforms. Prerequisite(s): AMAT 413. Offered spring semester only.
AMAT 416 Partial Differential Equations (3)
The partial differential equations of classical mathematical physics. Separation of variables, eigenvalue problems, Fourier series and other orthogonal expansions. First order equations, Green’s functions, Sturm-Liouville theory, and other topics as time permits. Prerequisite(s): a course in Ordinary Differential Equations. Offered fall semester only.
AMAT 420 Topics in Abstract Algebra (3)
Topics in abstract algebra chosen by the instructor. The focus of the course will be publicized in departmental announcements. Prerequisite(s): AMAT 327.
AMAT 424 Advanced Linear Algebra (3)
Duality, quadratic forms, inner product spaces, and similarity theory of linear transformations. Prerequisite(s): AMAT 220 and AMAT 326, or permission of instructor. Offered fall semester only.
AMAT 425 Number Theory (3)
Divisibility, congruences, quadratic reciprocity, Diophantine equations, sums of squares, cubes, continued fractions, algebraic integers. Prerequisite(s): AMAT 326. Offered spring semester only.
AMAT 432/432Z Foundations of Geometry (3)
Axiomatic development of absolute geometry, theory of parallels, introduction to non-Euclidean geometry, isometries of the Bolyai-Lobachevsky plane. Only one version of AMAT 432 may be taken for credit. Prerequisite(s): AMAT 220 or equivalent. Offered fall semester only.
AMAT 441 Introduction to Differential Geometry (3)
Differential geometry of curves and surfaces in Euclidean space, frames, isometries, geodesics, curvature, and the Gauss-Bonnet theorem. Prerequisite(s): AMAT 214 and 220. Offered spring semester only.
AMAT 442 Introduction to Algebraic Topology (3)
Two-dimensional manifolds, the fundamental group and Van Kampen’s theorem, covering spaces, graphs, and applications to group theory. Prerequisite(s): AMAT 214 and 220.
AMAT 452/452Z History of Mathematics (3)
History of the development of mathematics, emphasizing the contributions of outstanding persons and civilizations. Normally only the writing intensive version of this course is offered. Only one version of AMAT 452 may be taken for credit. Prerequisite(s): AMAT 214, 326, and either 331 or 432. Offered fall semester only.
AMAT 464 Applied Stochastic Processes (3)
An overview of stochastic processes with particular emphasis on Markov chains. Introduction to queuing theory. Particular attention given to estimation. Recommended as partial preparation for Actuarial Exams M and C. Prerequisite(s): One of AMAT 362 or 367 or 467. Offered spring semester only.
AMAT 465/465Z Applied Statistics (3)
A second or third course in statistics, focusing on simple and multiple regression and time series. Course carries VEE credit from the Society of Actuaries in applied statistics. Only one version of AMAT 465 may be taken for credit. Prerequisite(s): AMAT 220 and one of AMAT 308, 363, or 468. Offered fall semester only.
AMAT 467 Continuous Probability and Mathematical Statistics (3)
One and two-dimensional calculus applied to probability. Continuous random variables in one and two dimensions, including the normal, bivariate normal, exponential, gamma (including chi-square), and beta. Density functions of transformations of random variables. Moment generating functions, weak law of large numbers, central limit theorems, convergence of random variables. Maximum likelihood and unbiased estimators. Confidence intervals, mainly for normal means and variances. Recommended as partial preparation for Actuarial Exam P. Prerequisite(s): AMAT 214 and 220 and one of AMAT 362 or 367. Offered fall semester only.
AMAT 468 Mathematical Statistics (3)
Neyman-Pearson theory (hypothesis testing), type I and II errors, power functions, generalized likelihood ratio tests. Two-sample confidence intervals and hypothesis tests. Sampling distributions, including the t, chi-square and F, all rigorously defined. Sufficient statistics, Fisher information, minimum variance estimators. Introduction to regression and Bayesian estimators. Some listed topics are tested on Actuarial Exam C. Prerequisite(s): AMAT 467. Offered spring semester only.
AMAT 469 Actuarial Probability and Statistics (1)
Drill in problem solving for one of the following Actuarial Exams: P, FM or M. May be repeated for credit with permission of instructor. Prerequisites depend on which of the three Actuarial Exams is featured. S/U Graded.
AMAT 475 Optimization Theory (3)
Introduction to optimization. Constrained optimization and Lagrange multipliers. Convex sets, convex functions and conjugate functions. Fenchel duality, convex optimization, Lagrange duality, non-linear programming. Karush-Tucker conditions and calculus of variations. Prerequisite(s): AMAT 214 and 220.
AMAT 482/482Y/482W Senior Seminar (3)
Study of topics in mathematics, chosen at the discretion of the instructor. Only one version of AMAT 482 may be taken for credit. Prerequisite(s): permission of instructor.
AMAT 485 Practical Methods in Topological Data Analysis (3)
This course provides students with the opportunity to choose a topic of their own interest and pursue the topological data analysis pipeline. Specifically, students will be held responsible for identifying a data set, or collecting their own, cleaning and pre-processing the data as needed, and then applying general techniques such as clustering and dimensionality reduction. Prerequisite(s) AMAT 302 and AMAT 483.
AMAT 487 Topics in Modern Mathematics (3)
Selected topics in mathematics. The topic of the course will be indicated in the course schedule and in departmental announcements. The course may be repeated for credit when content varies. Prerequisites for AMAT 487 will be as indicated on the departmental announcements.
AMAT 493 Practical Methods in Machine Learning (3)
This capstone course serves as the culmination of the data science program (AMAT 493) and the Machine Learning sequence (AMAT 593). Students will complete a real-world data analysis project that can be effectively addressed using machine learning methods. The course focuses on a comprehensive and principled analytical process that includes data preprocessing, project design, model implementation, comparison of different machine learning techniques, and critical evaluation of the results. The instructor will provide close guidance throughout the project to ensure both methodological rigor and practical relevance. Prerequisite(s): AMAT 492.
AMAT 497 Independent Study in Mathematics (1–3)
Individual, independent study of selected topics not covered in a regularly scheduled course. Open only to majors in mathematics. May be repeated for credit. Prerequisite(s): junior or senior standing, and permission of instructor with whom student wishes to study.
AMAT 499Z Undergraduate Thesis (3)
Individual, independent study leading to an undergraduate thesis under the direction of faculty chosen by the student. The thesis may be used to fulfill the thesis requirement in the honors program with the approval of the department. Prerequisite(s): permission of instructor.