Courses in Mathematics. 120.  Mathematics: The Study of Patterns An introduction to the essence of mathematics, namely, the discovery and verification of patterns, and to the historical role of mathematics in shaping culture. 140.  Statistics An introduction to statistical thinking and the analysis of data using such methods as graphical descriptions, correlation and regression, estimation, hypothesis testing, and statistical models.  A graphing calculator is required. 181.  Calculus I A graphical, numerical, and symbolic study of the theory and application of the derivative of algebraic, trigonometric, exponential, and logarithmic functions, and an introduction to the theory and applications of the integral.  Suitable for students of both the natural and the social sciences.  A graphing calculator is required. 182.  Calculus II A graphical, numerical, and symbolic study of the theory, techniques, and applications of integration, and an introduction to infinite series and/or differential equations.  A graphing calculator is required.  Prerequisite: Mathematics 181 or the equivalent. 210.  Multivariable Calculus A study of the geometry of three-dimensional space and the calculus of functions of several variables.  Prerequisite: Mathematics 182. 220.  Linear Algebra The theoretical and numerical aspects of finite dimensional vector spaces, linear transformations, and matrices, with applications to such problems as systems of linear equations, difference and differential equations, and linear regression.  A graphing calculator is required.  Prerequisite: Mathematics 182. 235.  Discrete Mathematical Models An introduction to some of the important models, techniques, and modes of reasoning of non-calculus mathematics.  Emphasis on graph theory and combinatorics.  Applications to computing, statistics, operations research, and the physical and behavioral sciences. 240.  Differential Equations The theory and application of first- and second-order differential equations including both analytical and numerical techniques.  Prerequisite: Mathematics 182. 320.  Mathematical Modeling The study of problem-solving strategies to solve open-ended, real-world problems.  Prerequisite: Mathematics 182. 330.  Numerical Methods A study of the theory and computer implementation of numerical methods.  Topics include error analysis, zeros of polynominals, numerical differentiation and integration, and systems of linear equations.  Prerequisites: Mathematics 192 and computer programming ability. 380.  Geometry A study of the foundations of Euclidean geometry with emphasis on the role of the parallel postulate.  An introduction to non-Euclidean (hyperbolic) geometry and its intellectual implications. 421-422.  Probability and Statistics A study of probability models, random variables, estimation, hypothesis testing, and linear models, with applications to problems in the physical and social sciences.  Prerequisite: Mathematics 210 or permission of instructor. 431-432.  Abstract Algebra The axiomatic development of abstract algebraic systems, including groups, rings, integral domains, fields, and vector spaces.  Prerequisite: Mathematics 220. 441-442.  Mathematical Analysis A rigorous study of the fundamental concepts of analysis, including limits, continuity, the derivative, the Riemann integral, and sequences and series.  Prerequisites: Mathematics 210, and Mathematics 220 or 235. 450.  Senior Mathematics A capstone course for seniors majoring in mathematics with emphasis on problem solving, independent study, and written and oral presentations. 480.  Special Topics in Mathematics Advanced topics in undergraduate mathematics offered occasionally to meet special needs.  Typical topics include number theory, foundations of mathematics, topology, and complex variables.