47 courses with the subject MATH, 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.
Effective Date 03/01/2009 Studies finite probability theory including combinatorics, equiprobable models, conditional probability and Bayes’ theorem, expectation and variance, and Markov chains.
Effective Date 03/01/2009 The study of the mathematics needed to understand and answer a variety of questions that arise in everyday financial dealings. The emphasis is on applications, including simple and compound interest, valuation of bonds, amortization, sinking funds, and rates of return on investments. A solid understanding of algebra is assumed.
Effective Date 03/01/2009 Provides an activity and project-based exploration of informal geometry in two and three dimensions. Emphasizes visualization skill, fundamental geometric concepts, and the analysis of shapes and patterns. Topics include concepts of measurement, geometric analysis, transformations, similarity, tessellations, flat and curved spaces, and topology.
Effective Date 03/01/2009 Studies basic concepts, operations, and structures occurring in number systems, number theory, and algebra. Inquiry-based student investigations explore historical developments and conceptual transitions in the development of number and algebraic systems.
Effective Date 08/01/2017 A first calculus course for business/biology/social-science students. Topics include college algebra/limits and continuity/differentiation and integration of algebraic and elementary transcendental functions/applications to related-rates & optimization problems as well as to curve sketching & exponential growth. At most one of MATH 1190, MATH 1210, and 1310 may be taken for credit.
Effective Date 08/01/2026 A first course of a 2-semester Calculus sequence for business/biology/social-science students. Topics include algebra, limits, continuity, differentiation, exponential and logarithmic functions and modelling with applications to economics, data science, biology. At most one of the sequence MATH 1191/MATH 1192, MATH 1210, and MATH 1310 may be taken for credit.
Effective Date 08/01/2026 A second course of a two-semester Calculus sequence for business/biology/social-science students. Topics include first and second derivative test, optimization, integration and the Fundamental Theorem of Calculus, a brief introduction to probability, and applications to economics, data science and biology. At most one of (a) MATH 1191 & MATH 1192, (b) MATH 1210, and (c) 1310 may be taken for credit.
Effective Date 08/01/2017 A first calculus course for business/biology/social-science students. Topics include limits and continuity/differentiation & integration of algebraic & elementary transcendental functions/applications to related-rates & optimization problems as well as to curve sketching & exponential growth. At most one of MATH 1190, MATH 1210, and MATH 1310 may be taken for credit.
Effective Date 08/01/2017 A second calculus course for business/biology/and social-science students. Topics include differential equations/infinite series/analysis of functions of several variables/analysis of probability density functions of continuous random variables. The course begins with a review of basic single-variable calculus.
Effective Date 08/01/2017 A first calculus course for natural-science majors/students planning further work in mathematics/students intending to pursue graduate work in applied social sciences. Introduces differential & integral calculus for single-variable functions, emphasizing techniques/applications & major theorems, like the fundamental theorem of calculus.
Effective Date 08/01/2017 A second calculus course for natural-science majors, students planning additional work in mathematics, and students intending to pursue graduate work in the applied social sciences. Topics include applications of the integral, techniques of integration, differential equations, infinite series, parametric equations, and polar coordinates.
Effective Date 03/06/2024 This course provides the opportunity to offer a new topic in the subject of mathematics.
Effective Date 08/01/2019 A continuation of Calc I and II, this course is about functions of several variables. Topics include finding maxima and minima of functions of several variables/surfaces and curves in three-dimensional space/integration over these surfaces and curves. Additional topics: conservative vector fields/Stokes’ and the divergence theorems/how these concepts relate to real world applications.
Effective Date 08/01/2019 Covers the material from Math 2310 (multivariable calculus) plus topics from complex numbers, set theory, and linear algebra. Prepares students for taking advanced mathematics classes at an early stage. Credit is not given for both Math 2310 and Math 2315.
Effective Date 08/01/2026 This course provides the opportunity to offer a new topic in the subject of mathematics.
Effective Date 08/01/2026 Covers basic concepts with an emphasis on writing mathematical proofs. Topics include logic, sets, functions and relations, equivalence relations and partitions, induction, and cardinality.
Effective Date 08/01/2019 Introduces fundamental ideas of probability, the theory of randomness. Focuses on problem solving and understanding key theoretical ideas. Topics include sample spaces, counting, random variables, classical distributions, expectation, Chebyshev’s inequality, independence, central limit theorem, conditional probability, generating functions, joint distributions.
Effective Date 03/01/2009 Introduces the methods, theory, and applications of differential equations. Includes first-order, second and higher-order linear equations, series solutions, linear systems of first-order differential equations, and the associated matrix theory. May include numerical methods, non-linear systems, boundary value problems, and additional applications.
Effective Date 08/01/2020 A rigorous development of the properties of the real numbers and the ideas of calculus including theorems on limits, continuity, differentiability, convergence of infinite series, and the construction of the Riemann integral. Students without prior experience constructing rigorous proofs are encouraged to take Math 3000 before or concurrently with Math 3310.
Effective Date 08/01/2017 This course is a continuation of MATH 2315. Covers topics from linear algebra/differential equations/real analysis. Success in this course and MATH 2315 (grades of B- or higher) exempts the student from the math major requirement of taking MATH 3351 and MATH 3250. Students are encouraged to take more advanced courses in these areas.
Effective Date 08/01/2017 Covers functions of a complex variable that are complex differentiable and the unusual and useful properties of such functions. Some topics: Cauchy’s integral formula/power series/the residue theorem/Rouche’s theorem. Applications include doing real integrals using complex methods and applications to fluid flow in two dimensions.
Effective Date 04/06/2017 Topics will include systems of linear equations, matrix operations and inverses, vector spaces and subspaces, determinants, eigenvalues and eigenvectors, matrix factorizations, inner products and orthogonality, and linear transformations. Emphasis will be on applications, with computer software integrated throughout the course. The target audience for MATH 3350 is non-math majors from disciplines that apply tools from linear algebra. Credit is not given for both MATH 3350 and 3351.
Effective Date 08/01/2023 Includes matrices, elementary row operations, inverses, vector spaces and bases, inner products and Gram-Schmidt orthogonalization, orthogonal matrices, linear transformations and change of basis, eigenvalues, eigenvectors, and symmetric matrices. Emphasis will be on the theory of the subject and abstract arguments. Credit is not given for both MATH 3350 and 3351.
Effective Date 08/01/2018 Surveys major topics of modern algebra: groups, rings, and fields. Presents applications to areas such as geometry and number theory; explores rational, real, and complex number systems, and the algebra of polynomials. Students without prior experience constructing rigorous proofs are encouraged to take Math 3000 before or concurrently with Math 3354.
Effective Date 07/15/2020 This course provides the opportunity to offer a new topic in the subject of mathematics.
Effective Date 01/01/2022 Includes combinatorial principles, the binomial and multinomial theorems, partitions, discrete probability, algebraic structures, trees, graphs, symmetry groups, Polya’s enumeration formula, linear recursions, generating functions and introduction to cryptography, time permitting.
Effective Date 01/01/2022 Topics in probability selected from Random walks, Markov processes, Brownian motion, Poisson processes, branching processes, stationary time series, linear filtering and prediction, queuing processes, and renewal theory.
Effective Date 01/01/2022 This class introduces students to the mathematics used in pricing derivative securities. Topics include a review of the relevant probability theory of conditional expectation and martingales/the elements of financial markets and derivatives/pricing contingent claims in the binomial & the finite market model/(time permitting) the Black-Scholes model.
Effective Date 08/01/2017 This course is a beginning course in partial differential equations/Fourier analysis/special functions (such as spherical harmonics and Bessel functions). The discussion of partial differential equations will include the Laplace and Poisson equations and the heat and wave equations.
Effective Date 03/28/2016 A second course in ordinary differential equations, from the dynamical systems point of view. Topics include: existence and uniqueness theorems; linear systems; qualitative study of equilibria and attractors; bifurcation theory; introduction to chaotic systems. Further topics as chosen by the instructor. Applications drawn from physics, biology, and engineering.
Effective Date 03/01/2009 Includes Taylor’s theorem, solution of nonlinear equations, interpolation and approximation by polynomials, numerical quadrature. May also cover numerical solutions of ordinary differential equations, Fourier series, or least-square approximation.
Effective Date 08/01/2017 This course covers the basic topology of metric spaces/continuity and differentiation of functions of a single variable/Riemann-Stieltjes integration/convergence of sequences and series.
Effective Date 08/01/2023 Differential and integral calculus in Euclidean spaces. Implicit and inverse function theorems, differential forms and Stokes’ theorem.
Effective Date 03/01/2009 Introduces algebraic techniques for communicating information in the presence of noise. Includes linear codes, bounds for codes, BCH codes and their decoding algorithms. May also include quadratic residue codes, Reed-Muller codes, algebraic geometry codes, and connections with groups, designs, and lattices.
Effective Date 02/24/2020 Studies selected analysis topics accessible to undergraduates sufficiently advanced in the math major curriculum.
Effective Date 01/01/2026 This course provides the opportunity to offer a new topic in the subject of mathematics.
Effective Date 08/01/2023 Review of topics from Math 3351: vector spaces, bases, dimension, matrices and linear transformations, diagonalization; however, the material is covered in greater depth and generality. The course continues with more advanced topics including Jordan canonical forms and introduction to bilinear forms.
Effective Date 01/01/2020 Structural properties of basic algebraic systems such as groups, rings, and fields. A special emphasis is made on polynomials in one and several variables, including irreducible polynomials, unique factorization, and symmetric polynomials. Time permitting such topics as group representations or algebras over a field may be included.
Effective Date 08/01/2017 This course studies the symmetries of solutions of polynomials. Topics include algebraic field extensions/field automorphisms/the fundamental theorem of Galois theory. Applications include the unsolvability of the quintic, as well as ruler & compass constructions.
Effective Date 01/01/2016 Combinatorics of counting using basic tools from calculus, linear algebra, and occasionally group theory. Topics include: tableaux, symmetric polynomials, Catalan numbers, quantum binomial theorem, q-exponentials, partition and q-series identities. Bijective proofs will be emphasized when appropriate. Requisites Must have completed MATH 3351 and 3354 or MATH 4652
Effective Date 01/01/2022 Geometric study of curves/surfaces/their higher-dimensional analogues. Topics vary and may include curvature/vector fields and the Euler characteristic/the Frenet theory of curves in 3-space/geodesics/the Gauss-Bonnet theorem/and/or an introduction to Riemannian geometry on manifolds.
Effective Date 01/01/2018 Examines the knotting and linking of curves in space. Studies equivalence of knots via knot diagrams and Reidemeister moves in order to define certain invariants for distinguishing among knots. Also considers knots as boundaries of surfaces and via algebraic structures arising from knots.
Effective Date 08/01/2021 Topics include abstract topological spaces & continuous functions/connectedness/compactness/countability/separation axioms. Rigorous proofs emphasized. Covers myriad examples, i.e., function spaces/projective spaces/quotient spaces/Cantor sets/compactifications. May include intro to aspects of algebraic topology, i.e., the fundamental group.
Effective Date 10/27/2015 This course will introduce students to the techniques and methods of mathematical research. Students will independently work with mathematical literature on a topic assigned by the instructor and present their findings in various formats (presentation, paper etc.). Requisites
Effective Date 08/01/2017 This course provides a framework for the completion of a Distinguished Major Thesis, a treatise containing an exposition of a chosen mathematical topic. A faculty advisor guides a student through the beginning phases of the process of research and writing.
Effective Date 08/01/2017 This is the second semester of a two semester sequence for the purpose of the completion of a Distinguished Major Thesis. A faculty member guides the student through all phases of the process which culminates in an open presentation of the thesis to an audience including a faculty evaluation committee.
Effective Date 08/01/2015 Reading and study programs in areas of interest to individual students. For third- and fourth-years interested in topics not covered in regular courses. Students must obtain a faculty advisor to approve and direct the program.
Source: University of Virginia-Main Campus's catalog, linked per course · table learning_unit · CourseShelf publish 59
