11821 MATH 107   Topics in Geometrical Math Ethan Bloch M . W . . 3:10 -4:30 pm HEG 204 MATC

Geometrical mathematics involves many topics other than traditional Euclidean geometry. This course explores topics that vary from semester to semester and may include some, but not all of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, and higher dimensions. Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 22

 11822 MATH 110   Precalculus Mathematics Gregory Landweber . . W . F 10:10 - 11:30 am RKC 102 MATC

A course for students who intend to take calculus and need to acquire the necessary skills in algebra and trigonometry. The concept of function is stressed, with particular attention given to linear, quadratic, general polynomial, trigonometric, exponential, and logarithmic functions. Graphing in the Cartesian plane and developing the trigonometric functions as circular functions are included.  Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 22

 11823 MATH 141 A  Calculus I Csilla Szabo . T . Th . 1:30 -2:50 pm HEG 204 MATC

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: MATH 110 Precalculus or the equivalent.  Class size: 22

 11824 MATH 141 B  Calculus I Csilla Szabo . T . Th . 3:10 -4:30 pm HEG 204 MATC

See above.  Class size: 22

 11825 MATH 142 A  Calculus II Amir Barghi . T . Th . 10:10 - 11:30 am HEG 204 MATC

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.  Topics covered include techniques of integration, l'Hopital's rule, improper integrals, applications of integration, functions of several variables, partial derivatives, multiple integrals.  Prerequisite:  MATH 141 Calculus or the equivalent.  Class size: 22

 11826 MATH 142 B  Calculus II Amir Barghi . T . Th . 1:30 -2:50 pm HEG 308 MATC

See above.  Class size: 22

 12052 BIO 144   Biostatistics Samuel Hsiao . . W . F 1:30 -4:00 pm ALBEE 100 MATC

Cross-listed:  Mathematics, Environmental & Urban Studies, Global & Int’l Studies     This course introduces students to the statistical methods biologists use to describe and compare data. Students will learn methods are appropriate for different types of data. Topics covered include elementary probability and statistics, characteristics of frequency distributions, hypothesis testing, contingency tests, correlation and regression analysis, different ways to compare means, nonparametric tests, and an introduction to multivariate tests. This course is intended for sophomore and junior biology majors, although it is open to students of all years.  One objective of the course is to provide biology majors the statistical background they need to analyze data for their own senior research; biology students should take this course before their senior year, if possible. Notice, though, that the topics in this course are applicable to many advanced courses. Prerequisite: passing score on part I of the Mathematics Diagnostic and at least one introductory biology course. Class size: 18

 11828 MATH 213   Linear Algebra w/ODEs James Belk . T . Th . 11:50 -1:10 pm RKC 111 MATC

This course is an introduction to two fields of mathematics, linear algebra and ordinary differential equations, that are of fundamental importance throughout mathematics and its applications, and that are related by the important use of linear algebra in the study of systems of linear differential equations. Topics in linear algebra include n-dimensional Euclidean space,  vectors, matrices, systems of linear equations, determinants, eigen values and eigenvectors; topics in ordinary differential equations include graphical methods, separable differential equations, higher order linear differential equations, systems of linear differential equations and applications. Prerequisite: MATH 142 Calculus II or the equivalent.  Class size: 18

 11829 MATH 241   Vector Calculus James Belk . T . Th . 3:10 -4:30 pm RKC 111 MATC

This course investigates differentiation and integration of vector-valued functions, and related topics in calculus. Topics covered include vector-valued functions, gradients, the chain rule, Lagrange multipliers, change of variables for multiple integrals, line integrals, Green’s Theorem, Stokes’ Theorem, Divergence Theorem and power series.  Prerequisites: MATH 142 Calculus II and MATH 213 Linear Algebra w/ODEs or the equivalent. Class size: 18

 11830 MATH 261A   Proofs and Fundamentals Ethan Bloch M . W . . 1:30 -2:50 pm HEG 308 MATC

This course introduces students to the methodology of mathematical proof. The logic of compound and quantified statements, mathematical induction, and basic set theory including functions and cardinality are covered. Topics from foundational mathematics are developed to provide students with an opportunity to apply proof techniques. Prerequisite: MATH 142 Calculus II, or permission of instructor.  Class size: 15

 11831 MATH 261 B  Proofs and Fundamentals Amir Barghi M . W . . 3:10 -4:30 pm OLINLC 115 MATC

See above.  Class size: 15

 11832 MATH 314   Mathematical Modeling Csilla Szabo M . W . . 8:30 -9:50 am HEG 308 MATC

What is a mathematical model? And how can it be used to help solve real world problems? This course will provide students with a solid foundation in modeling and simulation, advancing understanding of how to apply mathematical concepts and theory.  Topics may include modeling with Markov chains, Monte Carlo simulation, discrete dynamical systems, differential equations, game theory, network science and optimization. Prerequisite:  MATH 213 Linear Algebra w/ODEs.  Class size: 15

 11833 MATH 329   Mathematical Statistics Samuel Hsiao . . W . F 10:10 - 11:30 am HEG 308 MATC

This course is a calculus-based introduction to statistical theory and applications. Students will explore the mathematical ideas underlying common statistical methods and will gain experience analyzing real data. Core topics include estimation, confidence intervals, hypothesis testing, and regression. Additional topics vary by instructor and may include bootstrapping or nonparametric methods. Statistical software will be used extensively to perform simulations and data analyses.  Prerequisite: MATH 319 Probability and Statistics or MATH 328 Probability. Class size: 15

 11834 MATH 332   Abstract Algebra John Cullinan . T . Th . 11:50 -1:10 pm RKC 101 MATC

An introduction to modern abstract algebraic systems, including groups, rings, fields and vector spaces.  The course will focus primarily on a rigorous treatment of the basic theory of groups (subgroups, quotient groups, homomorphisms, isomorphisms, group actions) and vector spaces (subspaces, bases, dimension, linear maps).  Prerequisites: MATH 261 Proofs and Fundamentals, and MATH 213 Linear Algebra w/ODEs,  or permission of the instructor.  Class size: 15

 11835 MATH 362   Complex Analysis John Cullinan . T . Th . 8:30 -9:50 am RKC 101 MATC

This course will cover the basic theory of functions of one complex variable. Topics will include the geometry of  complex numbers, holomorphic and harmonic functions, Cauchy’s theorem and its consequences, Taylor and Laurent series, singularities, residues, elliptic functions and/or other topics as time permits. Prerequisites: MATH 241 Vector Calculus, MATH 261 Proofs and Fundamentals, and one prior 300-level mathematics course is recommended, or permission of the instructor.   Class size: 15

 11836 MATH 363   Numerical Real Analysis Gregory Landweber . . W . F 1:30 -2:50 pm RKC 101 MATC

Some of the fundamental ideas of analysis in one-dimensional Euclidean space are studied from both theoretical and computational perspectives. Topics covered include the foundations of the real numbers, sequences, series, power series, the derivative, and the Riemann integral. A focus will be on error estimates for numerical methods of approximating the roots, derivatives and integrals of real analytic functions, making use of Taylor series and Taylor's Theorem. This course satisfies the Real Analysis requirement of the Mathematics Program.  Prerequisites: MATH 261 Proofs and Fundamentals , and one prior 300-level mathematics course, or permission of the instructor.  Class size: 15

 11837 MATH 382   Computational Commutative Algebra Branden Stone M . W . . 4:40 -6:00 pm HEG 204 MATC

This course will investigate the nature of polynomial rings and their applications to the real world. It will describe the basic tools of standard graded rings and their relation to combinatorics and algebraic geometry. Some of the topics will include monomial ideals, Stanley-Reisner rings, Groebner bases, simplicial complexes, Hilbert functions, and h-vectors. Applications to fields such as statistics, photogrammetry, financial mathematics, and robotics will also be discussed, time permitting. Prerequisite: MATH 332, Abstract Algebra.  Class size: 15

 11838 MATH 399   Junior Seminar Gregory Landweber . . . Th . 4:40 -6:00 pm HEG 308 / RKC 100

1 credit  This course is designed to help students prepare for a senior project in mathematics via a variety of hands-on activities related to reading, doing and writing mathematics. There will be ten weekly meetings, each devoted to a different topic, including: how to read a mathematics paper; searching the mathematics literature; using LaTeX for writing a senior project; using computer programs such as Sage and Mathematica; and expository mathematical writing. The seminar culminates in the writing of a short expository work. The seminar is graded Pass/Fail.  Prerequisite: At least one 300-level Mathematics course.  Class size: 24