23 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.
3.5 years of high school mathematics. Differentiation of algebraic and transcendental functions, application of the derivative to related rates, max-min problems, L’Hôpital’s Rule, and graphing. Introduction to integration, the Fundamental Theorem of Calculus.
MTH 121 Calculus I . A continuation of MTH 121. Applications of the integral, integration techniques, numerical integration, infinite sequences and series, Taylor Series, and improper integrals.
MTH 122 Calculus II . Focuses on extending techniques from one-dimensional calculus to multivariable calculus - including limits, continuity, derivatives, finding maxima and minima, integrals, and finding volumes. Topics include parametric equations, vectors, vector-valued functions, curves and surfaces in space, line integrals, vector fields, divergence, curl, the fundamental theorem of line integrals, Green’s theorem, and the Divergence theorem.
MTH 120 Discrete Mathematics or MTH 122 Calculus II . Matrices and systems of linear equations, determinants, real vector spaces and inner product spaces, linear transformations, eigenvalue problems, and applications.
MTH 122 Calculus II . A study of the theory, methods of solution, and applications of differential equations and systems of differential equations. Topics will include the Laplace Transform, some numerical methods, and applications from the physical sciences and geometry.
MTH 122 Calculus II . An introduction to abstract mathematical thought with emphasis on understanding and applying definitions, writing arguments to prove valid statements, and providing counterexamples to disprove invalid ones. Topics may include logic, introductory set theory, and elementary number theory, but the focus is on the process of reasoning rather than any particular subject or subdiscipline. It is strongly recommended that mathematics majors complete this course by the end of the sophomore year.
Any 200-level MTH course Models describing physical and economic conditions will be constructed, analyzed, and tested. The computer will be used in model verification.
MTH 226 Linear Algebra . Linear programming, the transportation model, dynamic programming, decision analysis, game theory, and inventory and queuing models.
MTH 226 Linear Algebra and MTH 240 Transition to Abstract Mathematics . A study of the algebraic structures of groups, rings, fields, and integral domains. Offered in alternate years.
MTH 240 Transition to Abstract Mathematics . Rigorous treatment of the real number system, sequence and function limits, continuity, differentiability, intermediate and mean value theorems, uniform continuity, the Riemann integral, and the Fundamental Theorem of Calculus. Offered in alternate years.
MTH 226 Linear Algebra This course is a follow-up course to MTH 226 Linear Algebra focusing on applications, particularly involving large data sets. The course is structured to emphasize “mathematics in action” and will have many project-based components. Topics include image and sound compression and manipulation, least squares, non-symmetric Eigenvalue problems, symmetric Eigenvalues and singular value decomposition, principal component analysis, and iterative methods. These are all techniques/topics used in applied business, science, and industry.
MTH 240 Transition to Abstract Mathematics . An axiomatic approach to Euclidean geometry. The exploration of non-Euclidean geometries, including hyperbolic geometry. The study of transformational geometries. Offered in alternate years.
MTH 240 Transition to Abstract Mathematics . An advanced course in discrete mathematics emphasizing counting and finite structures. Topics include fundamental laws of counting, generating functions, recursion, partitions, existence and optimization problems, graphs and digraphs, networks, the relationships between graphical invariants, lattices, Latin squares, design and coding theory, and Ramsey Theory.
MTH 240 Transition to Abstract Mathematics Selected classic topics in elementary number theory will be covered, including divisibility of integers, modular arithmetic, linear congruences, quadratic reciprocity, continued fractions, and, if time permits, basic theory of elliptic curves. A computational point of view is emphasized.
MTH 240 Transition to Abstract Mathematics . This course examines major developments in mathematics of historical importance from ancient through modern times. Concepts from geometry, algebra, calculus, analysis, number theory, and modern mathematics are analyzed in historical and cultural contexts, including the ancient Mesopotamian, Chinese, Egyptian, Greek and Indian civilizations, the medieval Islamic caliphate, and modern Europe and the Americas.