42 courses with the subject MAT, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
MAT 101Math for Human Flourishing
Instructor Heyer A critical examination of mathematics as a vehicle for human flourishing. We consider how mathematics supports the pursuit of intellectual and moral virtues such as truth, beauty, and justice by feeding the human desire to explore, play, struggle, and create something permanent and powerful. Students will investigate the cultural history and social construction of mathematics as a discipline, how mathematics benefits society, and how it can be taught in ways that better reveal its human dimensions. Satisfies Mathematical and Quantitative Thought requirement.
Instructor Bachmann An introduction to statistics as a science of understanding and analyzing data. Students will learn how to effectively make use of data in the face of uncertainty: how to collect data, how to analyze data, and how to use data to make inferences and conclusions about real world phenomena. Satisfies Data Science minor requirement Satisfiest Mathematical and Quantitative Thought requirement Prerequisites & Notes Not open to students with credit or concurrent registration in any college-level statistics course (e.g., BIO 240, ECO 204, MAT 105, MAT 341, POL 182, or SOC 201)
Instructor Wang An introduction to statistics as a science of understanding and analyzing data. Students will learn how to effectively make use of data in the face of uncertainty: how to collect data, how to analyze data, and how to use data to make inferences and conclusions about real world phenomena. Students will practice their analytical and statistical skills while exploring topics related to social justice, equality, and community. Satisfies Data Science minor requirement Satisfiest Mathematical and Quantitative Thought requirement Satisfies Justice, Equality, and Community requirement Prerequisites & Notes Not open to students with credit or concurrent registration in any college-level statistics course (e.g., BIO 240, ECO 204, MAT 104, MAT 341, POL 182, or SOC 201)
Instructor Duhon Survey of abstract mathematical ideas that deepen understanding of patterns from mathematics, art, and the physical world. Topics may include the nature of number, infinity, dimension, symmetries, alternate geometries, topology, chaos, fractals, probability and social choice. While techniques and concepts have much in common with advanced theoretical mathematics, little background is assumed and the course is not practical preparation for later courses in mathematics. The course title is occasionally changed to reflect a special emphasis. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Not open to students with credit for, or enrolled in, Mathematics 220, 230, or 255.
MAT 111Calculus I (for those with no previous exposure)
Instructor Blake H An introduction to the differential and integral calculus of algebraic, trigonometric, exponential, and inverse trigonometric functions with applications including graphical analysis, optimization and numerical methods. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Not open to students with one semester of a high school or college course about calculus. (Fall)
Instructor Duhon, Wright, Chavez An introduction to the differential and integral calculus of algebraic, trigonometric, exponential, and applications including graphical analysis, optimization, and numerical methods. An emphasis on investigating mathematical approaches to describing and understanding change in the context of problems in the life sciences. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes No exposure to calculus is expected Math 112 is not open for students with credit for Math 111
Instructor Chan, Chartier An introduction to techniques and applications of integration; infinite series including convergence tests and Taylor series; calculus on parametric and polar curves; and concepts in 3-space including vectors, lines, planes, and vector-valued functions. Satisfies a major requirement in Mathematics. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Mathematics 111 or 112 or equivalent preparation.
Instructor Heyer Continued study of calculus and other mathematical methods for modeling change and uncertainty. Multivariable calculus topics include partial derivatives and the gradient vector, multivariate optimization, and double integrals. Matrix methods include systems of linear equations, matrix algebra, and eigenvalues. Models, primarily in the context of problems in the life sciences, make use of these methods and others chosen from systems of differential equations, difference equations, and discrete and continuous probability. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Mathematics 111 or 112 or equivalent preparation. Not open to students with credit for MAT 150 or MAT 160.
Instructor Bachmann, Chan An introduction to systems of linear equations, matrices, determinants, vector spaces, and eigenvectors in an interactive learning environment provided by the computer algebra system Mathematica. Applications are chosen from linear programming, least squares approximation, graph theory, cryptography, computer graphics, and other topics. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes MAT 113 or placement above MAT 113
Instructor Yerger A study of the differential and integral calculus of functions of several variables together with an introduction to vector calculus. Topics include partial derivatives, directional derivatives, gradients, tangent planes to surfaces, double and triple integrals, change of variables in multiple integrals, vector fields, line integrals, Green’s Theorem, and surface integrals. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Mathematics 113.
Instructor Chartier A survey of discrete mathematical and computational modeling techniques and their application to the natural and social sciences. Mathematical tools are selected from such topics as Monte Carlo simulation, queuing theory, Markov chains, optimization, discrete dynamical systems, computational geometry, agent-based modeling, and cellular automata. Emphasis is on formulating models, investigating them analytically and computationally, and communicating the results. Counts as an elective in the Mathematics major. Counts as an elective in the Data Science interdisciplinary minor. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes MAT 140 or MAT 150, and one of CSC 120, CSC 121, CSC 200, or CSC 209.
Instructor H. Blake, J. Pulaj, H. Smith, Wiedenbeck, A. Wright (Cross-listed as CSC 220) An introduction to proof techniques and discrete mathematics, with a focus on topics relevant to computer science, and an introduction to functional programming. Topics include logic, sets, functions, equivalence relations, algorithm analysis, methods of proof, essential combinatorics, recurrence relations, and discrete probability, as well as the essentials of functional programming. Additional topics may be selected from graph theory, number theory, or automata theory. This course prepares students for advanced work in both computer science and mathematics. Satisfies the Mathematical and Quantitative Thought requirement. Counts towards the Mathematics major and minor. Counts towards the Computer Science major and minor. Prerequisites & Notes MAT 140, MAT 150, or MAT 160, and the ability to program in a high-level language such as Python, C++, or Java at the level expected in CSC 121 or an equivalent course.
Instructor Zhuang An introduction to proof techniques (including quantifiers and induction), elementary set theory, abstract functions, infinite cardinalities, and properties of sets of real numbers; followed by an introduction to topics chosen from topology, analysis, dynamical systems, or set theory, among others. Emphasis throughout is on developing abilities in writing proofs. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Mathematics 150 or Mathematics 160 or permission of the instructor.
Instructor Chartier A study of solution techniques and models in ordinary differential equations including first order equations, linear differential equations, series solutions, Laplace transform methods, and concepts of numerical and graphical techniques applied to equations and systems. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes Mathematics 150. (Fall)
Instructor Smith Over the last 15 years, modern biology has been transformed by the use of new mathematical methods. Many problems from gene regulatory networks, genomics, RNA folding, infectious disease modeling, phylogenetics, ecological networks, and food webs naturally lend themselves to discrete and algebraic models. In some cases, these models have even spawned new research areas. We will sample a variety of problems and modeling techniques throughout the class with a focus more on breadth than depth. The course will include the necessary biological foundation and cover the relevant mathematical theory. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes MAT 113 or MAT 140 or permission of instructor
Instructor Heyer Survey of methods to approximate numerical solutions of problems in root-finding, differentiation, integration, curve-fitting, differential equations, and systems of equations. Derivations, limitations, and efficiency of different algorithms are considered. Counts towards the Mathematics major and minor. Counts towards the Computer Science major and minor. Prerequisites & Notes MAT 150 and MAT 235, and proficiency in some programming language. (Spring)
Instructor Blake The mathematics of arrangements of discrete sets, including binomial and multinomial coefficients, inclusion and exclusion, the pigeonhole principle, partitions and compositions, Stirling and Catalan numbers, occupancy problems, generating functions, recurrence relations, and selected modern topics. Counts as an elective in the Theory category of the Computer Science major. Prerequisites & Notes CSC/MAT 220, MAT 230, or MAT 255
Instructor Blake A rigorous introduction to graph theory including the study of trees, connectivity, graph distances, adjacency matrices, Euler tours, Hamiltonian cycles, matchings, graph colorings, planarity, Euler characteristic, directed graphs, network flows, algorithms and extremal problems. Counts as an elective in the Theory category of the Computer Science major. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes One of the following: MAT/CSC 220, MAT 230, MAT 255
Instructor Yerger The theory of functions of a real variable. Topics include properties of the real numbers, sequences and series, continuity, differentiation, the Riemann integral, and sequences of functions. Prerequisites & Notes Mathematics 113 and one of Mathematics 220, 230, or 255. (Fall)
Instructor Chan, Chavez The algebra and geometry of complex numbers, sequences and series of complex numbers, derivatives, and integrals of functions of a complex variable. The Cauchy-Goursat Theorem, the Cauchy Integral Formula and its consequences, Taylor series, classification of singularities, the Residue Theorem, Laurent series, harmonic functions, conformal mappings, and, if time permits, miscellaneous applications. Prerequisites & Notes Mathematics 160 and one of Mathematics 220, 230, or 255. (Spring)
Instructor Chavez, Angel A study of probability theory relative to both discrete and continuous probability laws. Topics include independence and dependence, mean, variance and expectation, random variables, jointly distributed probability laws, Chebysheff’s Inequality and a version of the Central Limit Theorem. Applications of probability theory are approached through a variety of idealized problems. Prerequisites & Notes Mathematics 113, and either 140 or 160. (Fall)
Instructor C. Yerger A mathematical approach to statistical theory. Includes a study of distribution theory, important properties of estimators, interval estimation and hypothesis testing, regression and correlation, and selected topics from non-parametric statistics. Satisfies a requirement in the Data Science interdisciplinary minor. Prerequisites & Notes Mathematics 340. (Spring)
Instructor Zhuang Y Mathematical properties of the integers and related sets, including divisibility properties, prime numbers and their distribution, congruences, diophantine equations, arithmetic functions, primitive roots, and quadratic residues. Satisfies the Mathematical and Quantitative Thought requirement. Prerequisites & Notes CSC/MAT 220 or MAT 230 Not open to students with credit for MAT 255.
Instructor Zhuang An introduction to the theory of groups, rings and fields. Topics include normal subgroups, quotient groups, homomorphisms, Cayley’s theorem, permutation groups, ideals, the field of quotients of an integral domain, and polynomial rings. Prerequisites & Notes Mathematics 150 and one of Mathematics 220, 230, or 255. (Fall)
Instructor Wright This course is an introduction to knot theory, a subfield of topology. Topics include Reidemeister’s Theorem, knot tabulation, and Seifert surfaces. We will discuss knot invariants including Fox n-colorability, the Jones polynomial, crossing number, and unknotting number. Satisfies Mathematics major and minor requirement. Prerequisites & Notes MAT 220 or 230
Instructor Wright We explore geometry by contrasting the more familiar Euclidean geometry with elliptic, spherical, and hyperbolic geometry. Neutral geometry is developed synthetically via a modified version of Hilbert’s axioms. We use the Poincare and Beltrami-Klein models of hyperbolic geometry. Prerequisites & Notes One of Mathematics 220, 230, or 255. (Fall)
Instructor Wright An introduction to Knot Theory, a subfield of topology. Topics include Reidemeister’s Theorem, knot tabulation, and Seifert surfaces. We will discuss knot invariants including n-colorability, the Jones polynomial, crossing number, and unknotting number. Prerequisites & Notes One of Mathematics 220, 230, or 255.
Instructor Staff Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with permission of the department chair. Not eligible for math major credit.
Instructor Chartier Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with the permission of the department chair. Eligible for math major credit.
Instructor Staff Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with the permission of the department chair. Eligible for math major credit.
Instructor Staff Further development of the theory of real functions, including such topics as functions of several variables, metric spaces, function spaces, Riemann-Stieltjes integrals, and Lebesgue measure. Prerequisites & Notes Mathematics 160 and 330.
Instructor Staff A study of the iteration of systems, typically arising from physical or biological models, and the resulting long term behavior. Periodic and chaotic dynamics as well as fractal graphics will be investigated. Prerequisites & Notes Mathematics 150 and 330 or permission of the instructor. (Offered Spring of odd numbered years.)
Instructor Zhuang A further study of vector spaces, dual spaces, inner product spaces, modules, linear transformations, characteristic roots, matrices, canonical forms, trace, transpose, determinants, normal transformations, and quadratic forms. Prerequisites & Notes Mathematics 355 or permission of the instructor.
Instructor Staff A continuation of Mathematics 355, including additional topics in group theory and ring theory, extension fields, straight-edge and compass constructions, Galois Theory, and solvability by radicals. Prerequisites & Notes Mathematics 355.
Instructor Pulaj, Yerger, Zhuang Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with the permission of the department chair. Eligible for math major credit.
Instructor Staff Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with the permission of the department chair. Eligible for math major credit.
Instructor Staff Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with the permission of the department chair. Eligible for math major credit.
Instructor Staff Independent study under the direction and supervision of a faculty member who reviews and approves the topic(s) of the independent study and who determines the basis for the evaluation of students’ work. Prerequisites & Notes Open to qualified students with the permission of the department chair. Eligible for math major credit.
