Exploration of the life, work and theology of C.S. Lewis (1898-1963), one of the most influential Christian writers of the 20th century. Topics to be explored include Lewis's writing on Christian belief, morality, forgiveness, faith, pain and the nature of heaven and hell -- all with an emphasis on practical applications to modern life.
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.
Analytic Geometry/Calculus II
The second course in the standard calculus sequence. An introduction to the logarithmic and exponential functions, the applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, numerical methods, and infinite series.
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).
Higher Mathematics Transition
Introduction to the main ideas and proof techniques of mathematics with an emphasis on reading, writing and understanding mathematical reasoning. Among the topics covered are logic, proof techniques, sets, cardinality, combinatorial enumeration, mathematical induction, relations, functions, and others selected by the instructor.
Development of Euclidean and non-Euclidean geometries. Topics include axiom systems, models, congruence theorems, parallel postulates, and the philosophical and historical background to geometry.
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.
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.
Introduction to concepts in topology including the following: topological spaces, metric spaces, continuity, homeomorphisms, neighborhoods, closed sets and closure, basis and sub-basis for a topology, subspaces, product spaces, connectivity, compactness, and separation axioms.
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.
Topics in Analysis
An in-depth investigation of selected topics in analysis.