56 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.
Exploration of real-life contexts which discuss geometry, rates of growth, consumer statistics, and practical probabilities so students can utilize quantitative information in degree programs and make personal, professional, and civic decisions.
Designed for students not ready for MAT 111 , this course prepares the student to be successful in college algebra and beyond. Topics include study, note-taking, and time management skills needed to be successful in mathematics and review of algebra.
A preparatory course for further mathematics courses. Equations and inequalities; polynomial, rational, exponential and logarithmic functions; graphs; systems of equations. (No credit granted after the completion, with a grade of “C-” or better, of MAT 151 or higher.)
Topics from trigonometry and algebra review. Includes trigonometric functions, identities and equations. (No credit granted after the completion, with a grade of “C-” or better, of a mathematics course numbered 152 or higher.)
A conceptual examination of mathematics content that is aligned with elementary and middle grades curricula. Topics include the real number system and related operations.
A conceptual examination of mathematics content that is aligned with elementary and middle grades curricula. Topics include geometry, measurement, probability, and data analysis.
Study of fundamental concepts of algebra, functions using graphical and algebraic approaches, and applications that are essential to the study of basic calculus. Covers linear, quadratic, polynomial, rational, radical, piecewise, composite, inverse, exponential, and logarithmic functions. Preparatory course for basic calculus, MAT 151 .
Intended for majors that emphasize techniques and applications. Study of linear and nonlinear functions, differentiation with applications, Riemann sums, integration, and the Fundamental Theorem of Calculus.
Intended for majors that emphasize techniques and applications. The second course in a two-course sequence. Topics to include further techniques and applications of integration and multivariable calculus including trigonometric functions, differential equations, probability, and sequences & series.
Study of fundamental concepts of algebra and trigonometry, functions using graphical and algebraic approaches, and applications that are essential to the study of calculus. Covers linear, quadratic, polynomial, rational, radical, piecewise, composite, inverse, exponential, logarithmic, and trigonometric functions. Preparatory course for MAT 161 .
Calculus of a single variable intended for students in the mathematical and natural sciences. Functions and limits; differentiation with applications including maxima and minima, related rates, and approximations; theory of integration with applications; and transcendental functions.
The second course in a three-course sequence. Further techniques and applications of integration; infinite sequences and series; conic sections, parametrized curves and polar coordinates; and, elementary differential equations.
An in-depth investigation of discrete mathematics topics identified as essential to teaching the elementary and middle grades curriculum. Topics include systematic listing and counting, vertex-edge graphs, and iteration and recursion. Students present written and oral arguments to justify conjectures and generalizations.
A study of properties and relationships of shape, size, and symmetry in two and three dimensions. Topics include parallelism, transformations, congruence, similarity, measurement, and constructions. Students present written and oral arguments to justify conjectures and generalizations.
Calculus of functions of several variables. Vectors and analytic geometry of three dimensional space; partial derivatives, gradients, directional derivatives, maxima and minima; multiple integrals; line and surface integrals, Green’s Theorem, Divergence Theorem, and Stokes’ Theorem.
Introduction to logic and mathematical proof with a focus on properties of the real number system. Elementary set theory, relations, functions, cardinality, algebraic and completeness properties of the reals and topics from axiomatic systems. Precision in the language of mathematics and rigor in proofs. Student presentations.
Mathematics research under faculty supervision beyond what is offered in existing courses.
An introduction to mathematical modeling emphasizing formulation, analysis, interpretation, and application. Selected problems from a variety of fields such as physics, biology, and management science. Students will learn how to develop and use mathematical models of real-world systems.
Thorough treatment of the topology of the real line, functions and limits, convergence, continuity, differentiation and integration of functions of a real variable. Infinite series, uniform convergence.
Introduction to the theory of numbers motivated by applications. Primes and divisibility; the Euclidean algorithm; linear congruences and the Chinese Remainder Theorem; Fermat’s Little Theorem; continued fractions and Farey sequences. Applications to cryptology, computer arithmetic, random number generators and primality testing. Possible additional applications to computer science, physics, communication, music.
Introduction to scientific computing and numerical algorithms. Includes scientific and numerical computations, elementary discussion of errors, linear algebraic systems, eigenvalue problems, curve fitting, root-finding, and numerical solution of ordinary differential equations. The algorithmic approach and efficient use of the computer are emphasized using scientific programming software.
Systems of linear equations, vector spaces, algebra of matrices and linear transformations, determinants, eigenvalues and eigenvectors, applications.
Basic study of algebraic structures, focusing on groups and rings. Examples may include permutation, matrix, and symmetry groups, polynomial rings, and integral domains.
Use of elementary methods in advanced study of the triangle and circle, special emphasis on solving original examples, comparison of Euclidean and non-Euclidean and projective geometries.
Development of mathematics from earliest systems to present century. Personalities involved with the contributions of each. A problem-study approach to give the student some training in research.
Theory, methods of solution, and applications of ordinary differential equations with emphasis on first and second order (linear and nonlinear) equations, and systems of first order equations. Methods used include Laplace transforms, matrices, eigenvalues and eigenvectors. Additional topics from power series solutions and numerical methods.
A thorough study of differential and integral calculus of vector-valued functions of a vector variable. Jacobians, inverse and implicit function theorems, change of variables in multiple integrals; theorems of Green, Gauss, and Stokes; applications.
Applied mathematics topics encountered in the physical sciences and engineering disciplines: Fourier series and orthogonal functions; Fourier and Laplace transforms; elementary applications to differential equations and boundary value problems; introduction to complex variables and residue theory.
Techniques for counting configurations of objects. Recurrence relations; principle of inclusion-exclusion; graphs, trees, and circuits. Additional topics chosen from Polya’s Theorem, generating functions, and network flows.
An introduction to the theory of interest and financial economics. This course is designed to comply with the requirements for actuarial exam FM.
Introduction to various mathematical problems and methods. Students present solutions in a public seminar and participation in problem solving competitions is encouraged.
Utilizing technology as an integrated tool to explore and visualize mathematical concepts and solve mathematics problems related to the school curriculum. Topics include functions, equations, geometry, data analysis, and mathematical modeling.
Advanced study of convergence, continuity, differentiation, and integration in Euclidean space. The real number system, basic topology of Euclidean spaces; sequences and series; continuity, differentiation of vector-valued functions, uniform continuity; theory of integration; implicit and inverse function theorems, Stokes’ Theorem.
The second course in a two-course sequence. Please see MAT 411 for description.
First study of functions of a complex variable. Algebra of complex numbers, elementary functions with their mapping properties; analytic functions; power series; integration, Cauchy’s Theorem, Laurent series and residue calculus; elementary conformal mappings and boundary value problems.
A thorough treatment of the solution of initial and boundary value problems of partial differential equations in one, two, and three dimensions. Topics include classification of partial differential equations, the method of characteristics, separation of variables, Fourier analysis, special functions, Sturm-Liouville theory, and some numerical methods.
Use of algebraic techniques to study arithmetic properties of the integers and their generalizations. Primes, divisibility and unique factorization in integral domains; congruences, residues and quadratic reciprocity; diophantine equations and additional topics in algebraic number theory.
Introduction to the theoretical foundations of numerical algorithms. Solution of linear systems by direct methods; least squares, minimax, and spline approximation; polynomial interpolation; numerical integration and differentiation; solution of nonlinear equations; initial value problems in ordinary differential equations. Error analysis. Certain algorithms are selected for programming.
Mathematical formulation and derivation of established machine learning and data analysis methods, as well as applications. Topics include singular value decomposition, dimension reduction such as low-rank approximation, k-means, support vector machine, clustering and kernel methods, nonnegative matrix factorization and topic models, neural network and image classification.
Advanced study of algebraic structures including rings, modules, and fields. Topics may include Sylow theory, Galois theory, coding theory, and representation theory.
A study of the basic concepts of general topology. Metric spaces, continuity, completeness, compactness, connectedness, separation axioms, product and quotient spaces; additional topics in point-set topology.
Theory of curves and surfaces in Euclidean space. Frenet formulas, curvature and torsion, arc length; first and second fundamental forms, Gaussian curvature, equations of Gauss and Codazzi, differential forms, Cartan’s equations; global theorems.
Advanced study of ordinary differential equations. Existence and uniqueness; systems of linear equations, fundamental matrices, matrix exponential; series solutions, regular singular points; plane autonomous systems, stability and perturbation theory; Sturm-Liouville theory and expansion in eigenfunctions.
The formulation, analysis and interpretation of probabilistic models. Selected topics in probability theory. Conditioning, Markov chains, and Poisson processes. Additional topics chosen from renewal theory, queuing theory, Gaussian processes, Brownian motion, and elementary stochastic differential equations.
An introduction to applications of mathematical concepts in developing, analyzing and simulating deterministic biological models. Mathematical methods may include discrete and continuous modeling, non-linear difference equations, as well as ordinary and partial differential equations. Biological applications may include population dynamics, ecology, epidemiology, evolution, molecular biology, and physiology.
A review of fundamental probability tools for quantitative risk assessment. An introduction to the knowledge of insurance and risk management. Students learn to apply basic probability modeling techniques in a risk management context. This course is designed to comply with the requirements for actuarial exam P.
Techniques of problem recognition and formulation, and mathematical solution and interpretation of results. Each student will construct a mathematical model and report on the investigation in written and oral form.
Topics of current interest in mathematics not covered in existing courses.
Examination of the mathematics underlying optimization problems, emphasizing the underlying geometric, algebraic and analytical ideas. Topics covered may include: convex analysis, least-squares, linear programming, semidefinite programming, optimality conditions, duality theory, numerical methods including gradient descent and Lagrange multipliers.
The formal study of truth and provability. Propositional calculus; predicate calculus. Godel’s completeness theorem, applications to formal number theory and incompleteness. Additional topics chosen from areas such as undecidability or nonstandard analysis.
Involves investigation under faculty supervision beyond what is offered in existing courses. For further information, consult the Directed Individual Studies section in this catalogue.
A seminar series consisting of at least 8 talks covering advanced topics chosen by the instructor. Students are expected to attend the full series with limited provisions for absences. Student work products include reflections in at least 3 talks.
Reading, discussion, investigation, and preparation and presentation of reports on selected mathematical topics, under faculty supervision beyond the students’ courses of study.
Students examine key ideas in high school mathematics from an advanced perspective. Under faculty supervision, students read, discuss, investigate, and present reports on mathematical topics beyond the students’ courses of study.
Academic training and practical experience through work in a private company or public agency. Supervision and evaluation of all study and on-site activity by a faculty member and an on-site mentor.
Individual study for honor students.
Source: University of North Carolina Wilmington's catalog, linked per course · table learning_unit · CourseShelf publish 61
