Scientific Writing Masterpiece
Students in this seminar will read some the great masterworks in the history of science, texts which were fundamental to the advancement of science while also being great works of literature. Students completing this course will be expected to have a greater appreciation both for the scientific ideas discussed and for the importance of presenting those ideas in coherent, well-written arguments. The emphasis in the course will be on how the original authors presented their insights to the public.
Topics include: set theory, combinatorics, probability, statistics, matrix algebra, linear programming, Markov chains, graph theory, and mathematics of finance. A student cannot receive credit for this course after credit has been received for MTH-260 or any mathematics course numbered greater than MTH-302.
Introduction to Statistics
Non-calculus based course in elementary probability and statistics. Counting problems, probability, various distributions, random variables, estimation, hypothesis testing, regression and correlation, analysis of variance, and nonparametric methods. A student cannot receive credit for this course and ECN-225 or MTH-341.
Integrated Precalc/Calc I
Introduction to the theory and methods of differential calculus. Topics include functions, graphs, limits, continuity and derivatives. May not be enrolled on a pass-fail basis.
Integrated Precalc/Calc II
Introduction to applications of the derivative and the theory and applications of the definite integral. Topics include: trigonometric functions and their derivatives, applications of derivatives, antiderivatives, the definite integral and applications of the integral.
Calc for Life & Social Science
Introduction to the methods of differential and integral calculus with an emphasis on applications in the management, life, and social sciences. Topics include limits and continuity, differentiation and integration of functions of one variable, exponential and logarithmic functions, and applications.
Analytic Geometry/Calculus I
First course in the standard calculus sequence. Introduction to the theory, methods, and applications of differential calculus and an introduction to the definite integral. Topics include: algebraic and trigonometric functions, limits and continuity, rules for differentiation, applications of the derivative, antiderivatives, and the definition and basic properties of the definite integral.
Vectors and Matrices
Introduction to the theory of vectors and matrices. Among the topics included are: vectors, vector operations, the geometry of Euclidean space, systems of equations, matrices, matrix operations, special transformations, eigenvalues, and applications of matrix theory.
Introduction to Statistics
Non-calculus based course in elementary probability and statistics. Counting problems, probability, various distributions, random variables, estimation, hypothesis testing, regression and correlation, analysis of variance, and nonparametric methods. A student cannot receive credit for this course and ECN-225 (25) or MTH-341 (47).
Introduction to multivariate and vector calculus. Topics include vector functions and the differential and integral calculus of functions of several variables including Green?s Theorem and Stokes? Theorem.
Introduction to the theory, methods, and applications of ordinary differential equations, including first- and higher-order differential equations, series solutions, systems, approximate methods, Laplace transforms, and phase plane analysis.
Calculus-based course in probability, covering counting, discrete and continuous probability, random variables, important probability distributions, joint distributions, expectation, moment generating functions, and applications of probability.
Calculus based course in statistics covering sampling, estimation, hypothesis testing, chi-square tests, regression, correlation, analysis of variance, experimental design, and nonparametric statistics.
Study of the complex plane and the calculus of functions of a complex variable. Topics to be considered include the algebra and geometry of complex numbers, limits and derivatives of functions of a complex variable, the Cauchy-Riemann equations, contour integrals, Taylor and Laurent series, and residues.
A theoretical introduction to some of the basic ideas of real analysis: real numbers and the topology of the real line, sequences and series of real numbers, limits of functions, continuity, uniform continuity, differentiation, the Riemann integral, and sequences and series of functions.