46 courses with the subject MTH, 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.
MTH 100Math Skills Studio4
This course is for students who need additional preparation to succeed in courses containing quantitative material. It provides a supportive environment for learning or reviewing, as well as applying, arithmetic, algebra, and mathematical skills. Students develop their numerical and algebraic skills by working with numbers drawn from a variety of sources. This course does not carry a Latin Honors designation. Enrollment limited to 20. Instructor permission required.
A course continuing the development of quantitative skills and quantitative literacy skills began in MTH 100. Students continue to exercise and review basic mathematical skills, to reason with quantitative information, to explore the use and power of quantitative reasoning in rhetorical argument, and to cultivate the habit of mind to use quantitative skills as part of critical thinking. Attention is given to visual literacy in reading graphs, tables, and other displays of quantitative information, and to cultural attitudes surrounding mathematics. Prerequisites: MTH 100. Enrollment limited to 20. {M}
Linear, polynomial, exponential, logarithmic and trigonometric functions graphs, verbal descriptions, tables and mathematical formulae. For students who intend to take calculus or quantitative courses in scientific fields, economics, government and sociology. Also recommended for prospective teachers preparing for certification. Enrollment limited to 25. {M}
This course provides a fast-paced review of and intense practice of computational skills, graphing skills, algebra, trigonometry, elementary functions (pre-calculus), and computations used in calculus. Featuring a daily review followed by problem-solving drills and exercises stressing technique and application, this course provides concentrated practice in the skills needed to succeed in courses that apply elementary functions and calculus. Students gain credit by completing all course assignments. This course does not count towards the Mathematics or Mathematical Statistics majors. S/U only. Enrollment limited to 20. Instructor permission required.
MTH 105ARTopics in Discovering Mathematics-MathStudio: Making, Art + Math4
The course has geometrical, mathematical and studio art components. Students draw and build 3D objects with simple tools and study their geometric and mathematical properties. Introduction to elements of geometry, algebra and symmetry in connection to what is built. Enrollment limited to 25. {M}
MTH 105WETopics in Discovering Mathematics-The Mathematics of Wealth4
This course looks at the intersection of mathematics and social justice thru the lens of wealth in America. Social justice topics include wealth distribution, taxes, the Gini index and the poverty cycle. Mathematical topics include mathematical modeling, logic, set theory, statistics and probability. Enrollment limited to 25.
Discussions include rates of change, differentiation, applications of derivatives including differential equations and the fundamental theorem of calculus. Written communication and applications to other sciences and social sciences motivate course content. Enrollment limited to 25. {M}
Techniques of integration, geometric applications of the integral, differential equations and modeling, infinite series, and approximation of functions. Written communication and applications to other sciences and social sciences motivate course content. Prerequisite: MTH 111 or equivalent. Enrollment limited to 25. {M}
An introduction to discrete (finite) mathematics with emphasis on the study of algorithms and on applications to mathematical modeling and computer science. Topics include sets, logic, graph theory, induction, recursion, counting and combinatorics. Enrollment limited to 25. {M}
This course takes a critical look at mathematics through the lens of feminist theory, pedagogy, and practice. Students examine how knowledge in mathematics has been historically constructed, who has been excluded, and how feminist perspectives can reshape the understanding of mathematical reasoning, teaching, and applications. Discussions include feminist epistemology, histories of women and marginalized mathematicians, critiques of neutrality in mathematics, QuantCrit and data feminism, feminist economics, pedagogy of care, algorithmic bias, and global and queer approaches to mathematical knowledge. The course blends theory, history, and hands-on data modeling projects. Prerequisite: MTH 111 and MTH 153, or equivalent. (E) {M}{S}
Systems of linear equations, matrices, linear transformations and vector spaces. Applications to be selected from differential equations, foundations of physics, geometry and other topics. MTH 153 is recommended. Prerequisite: MTH 112 or equivalent, or MTH 111 and MTH 153. Enrollment limited to 30. {M}
Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical and spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. MTH 211 suggested (may be concurrent). Enrollment limited to 30. {M}
An introduction to the concepts of abstract algebra, including groups, quotient groups and, if time allows, rings and fields. Prerequisites: MTH 153 and MTH 211 or equivalent. {M}
Topics to be covered include properties of the integers, prime numbers, congruences, various Diophantine problems, arithmetical functions and cryptography. Prerequisite: MTH 153 and MTH 211, or equivalent. {M}
An introduction to probability, including combinatorial probability, random variables, discrete and continuous distributions. Prerequisites: MTH 153 and MTH 212 (may be taken concurrently), or equivalent. {M}
Enumeration, including recurrence relations and generating functions. Special attention paid to binomial coefficients, Fibonacci numbers, Catalan numbers and Stirling numbers. Combinatorial designs, including Latin squares, finite projective planes, Hadamard matrices and block designs. Necessary conditions and constructions. Error correcting codes. Applications. Prerequisites: MTH 153 and MTH 211 or equivalent. {M}
The course begins with the basic structure of graphs including connectivity, paths, cycles and planarity and proceeds to independence, stability, matchings and colorings. Directed graphs and networks are considered. In particular, some optimization problems including maximum flow are covered. The material includes theory and mathematical proofs as well as algorithms and applications. Prerequisites: MTH 153 and MTH 211 or equivalent. {M}
Linear algebra has become one of the most widely applied areas of mathematics. Fast matrix computation allows for the manipulation and analysis of large complex data sets which has enabled major advances in computation. Discussions include solving linear systems, matrices, determinants, matrix factorizations such as LU, and QR decompositions and singular value decomposition (SVD). Students learn to use software to analyze large data sets, with applications in computer science, chemistry, engineering, and others. This course is taught using the software MATLAB, but no knowledge of MATLAB is assumed. Prerequisite: MTH 211. Enrollment limited to 25. {M}
MTH 264DETopics in Applied Math-Differential Equations4
This course gives an introduction to the theory and applications of ordinary differential equations. The course explores different applications in physics, chemistry, biology, engineering and social sciences. Students learn to predict the behavior of a particular system described by differential equations by finding exact solutions, making numerical approximations, and performing qualitative and geometric analysis. Specific topics include solutions to first order equations and linear systems, existence and uniqueness of solutions, nonlinear systems and linear stability analysis, forcing and resonance, Laplace transforms. MTH 211 is recommended. Prerequisites: (MTH 112 and MTH 212) or PHY 210, or equivalent. {M}
MTH 270PPTopics in Geometry-Polygons and Polyhedra4
Can an equilateral triangle be cut into several pieces and taped back together to form a square? If so, what is the smallest number of cuts required? Can the same be done with a regular tetrahedron and a cube? This course explores these "scissors congruence'' problems and other classical topics from discrete and computational geometry, such as art gallery theorems, gift wrapping, and various types of structures involving polygons and polyhedra. Throughout the semester, students have opportunities to pursue topics of particular individual interest (and, optionally, involving coding or the visual arts) by means of three projects. Prerequisite: MTH 153. (E) {M}
This is a course in intuitive geometry and topology, with an emphasis on hands-on exploration and developing the visual imagination. Discussions may include knots, geometry and topology of surfaces and the Gauss-Bonnet Theorem, symmetries, wallpaper patterns in Euclidean, spherical and hyperbolic geometries, and an introduction to 3-dimensional manifolds. Prerequisites: MTH 211 and MTH 212 or equivalent. {M}
Functions of several variables, vector fields, divergence and curl, critical point theory, transformations and their Jacobians, implicit functions, manifolds, theory and applications of multiple integration, and the theorems of Green, Gauss and Stokes. Prerequisites: MTH 211 and MTH 212, or equivalent. MTH 153 is encouraged. {M}
The topological structure of the real line, compactness, connectedness, functions, continuity, uniform continuity, differentiability, sequences and series of functions, uniform convergence, introduction to Lebesgue measure and integration. Prerequisites: MTH 211 and MTH 212, or equivalent. MTH 153 is strongly encouraged. Enrollment limited to 20. {M}
In this class students don’t do math as much as they talk about doing math and the culture of mathematics. The class includes lectures by students, faculty and visitors on a wide variety of topics, and opportunities to talk with mathematicians about their lives. This course is especially helpful for those considering graduate school in the mathematical sciences. Prerequisites: MTH 211, MTH 212 and two additional 200-level MTH courses, or equivalent. May be repeated once for credit. S/U only. {M}
In this course students work in small groups on original research projects. Students are expected to attend a brief presentation of projects at the start of the semester. Recent topics include interactions between algebra and graph theory, plant patterns, knot theory and mathematical modeling. This course is open to all students interested in gaining research experience in mathematics. Prerequisites vary depending on the project, but normally MTH 153 and MTH 211 are required. Restrictions: MTH 301rs may be repeated once. {M}
MTH 305Colloquium: Math, Meaning and Message: Communicating Mathematics4
Mathematics is often called the language of the universe, celebrated for its elegance and relevance. Yet its power lies in how well humans communicate it. An important objective of any mathematician is to convey both professional and personal insights in ways that make sense to the intended audience. This course develops reasoning, writing, and presentation skills in the context of mathematics, while encouraging students to find their own voice. Structured as a team-based learning class, it emphasizes collaboration and practice. Together, the class hones communication skills in three dimensions: message (content), presenter (speaker/writer), and audience (reader/listener). Prerequisite: Two 200-level or above MTH courses, including one proof-based course. Restrictions: Not open to first-years. Enrollment limited to 20. (E) {M}
MTH 333CTTopics in Abstract Algebra-Coding Theory4
An overview of noiseless and noisy coding. Covers both theory and applications of coding theory. Topics include linear codes, Hamming codes, Reed-Muller codes, cyclic redundancy checks, entropy, and other topics as time permits. Prerequisites: MTH 153 and MTH 211. One of MTH 233 or MTH 238 is highly recommended. {M}
MTH 333ECTopics in Abstract Algebra-Introduction to Eliptic Curves4
When doing their favorite cyber activities, one is often relying— perhaps without realizing it—on elliptic curves to keep their personal information secure. In this course, students learn how to use Algebra, Geometry and Number Theory to study the arithmetic of Elliptic Curves. Fundamentally, the question is whether solutions for a given curve exist; and if one exists, what is the structure of the solution set? Discussions include, as time permits: Weierstrass normal form; geometry of elliptic curves and the group law; discriminants; the Nagell–Lutz and Mordell’s Theorems; elliptic curves over finite fields; applications to factorization and cryptography. MTH 233 and MTH 238 are helpful, but not required. Prerequisite: Two proof-writing courses. (E) {M}
MTH 333LATopics in Abstract Algebra-Advanced Linear Algebra4
This is a second course in linear algebra that explores the structure of matrices. Topics may include characteristic and minimal polynomials, diagonalization and canonical forms of matrices, the spectral theorem, the singular value decomposition theorem, an introduction to modules, and applications to problems in optimization, Markov chains, and others. {M}
MTH 333RTTopics in Abstract Algebra-Representation Theory4
Representation theory is used everywhere, from number theory, combinatorics, and topology, to chemistry, physics, coding theory, and computer graphics. The core question of representation theory is: what are the fundamentally different ways to describe symmetries as groups of matrices acting on an underlying vector space? This course explains each part of that question and key approaches to answering it. Discussions may include irreducible representations, Schur’s Lemma, Maschke’s Theorem, character tables, orthogonality of characters, and representations of specific finite groups. MTH 233 is recommended but not required. Prerequisite: MTH 211. {M}
MTH 353ACSeminar: Advanced Topics in Discrete Applied Mathematics-Calderwood Seminar on Applied Algebraic Combinatorics and Mathematical Biology4
Calderwood Seminar. Combinatorial ideas permeate biology at all scales, from the combinatorial properties of the sequences of letters (nucleotides) representing DNA and RNA, to the symmetries often observed in cell divisions, to the graphs that can be used to represent evolutionary trees. This course focuses on key combinatorial ideas that arise on multiple scales in biology, including molecular, cellular and organism, especially: counting and classification, symmetries and combinatorial graphs. The class interviews mathematicians and biologists about their current research and prepares multiple reports and presentations for different kinds of popular audiences (for example: kids, biologists and newspapers). No particular biological background is expected. MTH 233 and MTH 254 or their equivalents are useful but not required. Prerequisite: MTH 153 and one additional proof-based course, or equivalent. Restrictions: Juniors and seniors only. Enrollment limited to 12. Instructor permission required. {M}
The developments of Artificial Intelligence (AI) are tied to an unprecedented reshaping of the human experience throughout society, impacting the arts, literature, science, politics, commerce, law, education, etc. Despite these consequential effects, understanding of AI is mostly empirical. The state of knowledge of deep learning has been recently likened to a pseudo-science like alchemy. Progress in this direction rests on truly interdisciplinary approaches that are equally informed from mathematics, computer science, statistics and data science. The course goals are: (1) Understand the mathematical foundations of deep learning, (2) Develop proficiency in using mathematical tools to analyze deep learning algorithms, (3) Apply mathematical concepts to implement real-world applications of deep learning. Not recommended for first-years. Prerequisites: MTH 211 and MTH 212. Enrollment limited to 12. {M}
Numerical methods are essential tools in modern science and engineering that enable one to solve problems that are difficult or impossible to address analytically. This course provides an introduction to the fundamental techniques of numerical computation, emphasizing both the mathematical foundations and the practical implementation of algorithms. Discussions include error analysis, solutions of nonlinear equations, interpolation and polynomial approximation, numerical differentiation and integration, and the numerical solution of initial-value problems for ordinary differential equations. Students are also introduced to the limitations of numerical methods, such as roundoff error, stability, and convergence. Prerequisite: MTH 211 and MTH 212. Enrollment limited to 25. (E) {M}
Everyday life is an inherently dynamic process, and the dynamics at every scale of organization, from neuron firings to voting choices, can give rise to surprising outcomes. Predicting and modulating those dynamics requires the development of accurate mathematical and computational models. In this class, students learn about mathematical and computational techniques for analyzing and predicting complex phenomena in biology and the social sciences. Techniques include discrete and continuous time dynamical models, statistical models, and stochastic models. Applications cover a range of scales, from molecules to population dynamics, with an emphasis on common mathematical concepts and computational techniques, the interpretation of existing data, and making predictions for real-world problems. Prerequisite: MTH 211 and MTH 264. Restrictions: Juniors and seniors only. Enrollment limited to 15. Instructor permission required. {M}
MTH 364DSAdvanced Topics in Continuous Applied Mathematics-Dynamical Systems, Chaos and Applications4
An introduction to the theory of Dynamical Systems with applications. A dynamical system is a system that evolves with time under certain rules. The class looks at both continuous and discrete dynamical systems when the rules are given by differential equations or iteration of transformations. Students study the stability of equilibria or periodic orbits, bifurcations, chaos and strange attractors. Applications are often biological, but the final project is on a scientific application of the student's choice. Prerequisites: MTH 211 and MTH 212 or equivalent. {M}
MTH 364PDAdvanced Topics in Continuous Applied Mathematics-Partial Differential Equations4
Partial differential equations allow the ability to track how quantities change when they depend on multiple variables, e.g. space and time. This course provides an introduction to techniques for analyzing and solving partial differential equations and surveys applications from the sciences and engineering. Specific topics include Fourier series; separation of variables; heat, wave and Laplace’s equations; finite difference numerical methods; and introduction to pattern formations. Prerequisite: MTH 211 and MTH 212, or MTH 280/MTH 281, or equivalent. MTH 264 is strongly recommended. Prior exposure to computing (using Matlab, Mathematica, Python, etc.) is helpful. {M}
MTH 370KTTopics in Topology and Geometry-Knot Theory4
This course surveys classical and modern topics in knot theory, as well as connections to other topics in low-dimensional topology, including surfaces and 3-dimensional manifolds. Discussions may include polynomial invariants, spanning surfaces, branched covers, mapping class groups, Heegaard splittings, Legendrian knot theory, and contact topology. Prerequisite: MTH 233, MTH 238, MTH 280, or MTH 281. {M}
MTH 370TPTopics in Topology and Geometry-Topology4
Topology is a kind of geometry in which important properties of a shape are preserved under continuous motions (homeomorphisms)—for instance, properties like whether one object can be transformed into another by stretching and squishing but not tearing. This course gives students an introduction to some of the classical topics in the area: the basic notions of point set topology (including connectedness and compactness) and the definition and use of the fundamental group. Prerequisites: MTH 280 or MTH 281, or equivalent. {M}
MTH 381FWTopics in Mathematical Analysis- Fourier Analysis and Wavelets4
The mathematics of how it is possible to simultaneously stream videos while using the same cable to call on the phone. Hilbert spaces, Fourier series, Fourier transform, discrete Fourier transforms, wavelets, multiresolution analysis, applications. Prerequisite: MTH 280 or MTH 281. {M}
MTH 381GMTopics in Mathematical Analysis-Geometry and Mechanics4
Introduction to modern geometric approaches to classical physics. The essential idea is that the notion of symmetry can be used to simplify the analysis of physical systems. Topics may include Lagrangian and Hamiltonian mechanics, Noether’s Theorem and conservation laws, quantization, and special relativity. MTH 233 is suggested (possibly concurrently). No prior exposure to physics is necessary. Prerequisite: MTH 280 or MTH 281. {M}
Complex numbers, functions of a complex variable, algebra and geometry of the complex plane. Differentiation, integration, Cauchy integral formula, calculus of residues, applications. Prerequisite: MTH 211 and MTH 212, or equivalent.
