Courses
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.
160. Calculus for the Social Sciences
A graphical, numerical and symbolic introduction to the theory and applications of derivatives and integrals of algebraic, exponential, and logarithmic functions, with an emphasis on applications in the social sciences. A student may not receive credit for both Mathematics 160 and 181.
175. Modeling and Simulation
A course in scientific programming, part of the interdisciplinary field of computational science. Large, open-ended, scientific problems often require the algorithms and techniques of discrete and continuous computational modeling and Monte Carlo simulation. Students learn fundamental concepts and implementation of algorithms in various scientific programming environments. Throughout, applications in the sciences are emphasized. Cross-listed as Computer Science 175.
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. A student may not receive credit for both Mathematics 160 and 181.
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.
260. Introduction to Mathematical Proof
An introduction to rigorous mathematical argument with an emphasis on the writing of clear, concise mathematical proofs. Topics will include logic, sets, relations, functions, and mathematical induction. Additional topics may be chosen by the instructor.
280. Selected Topics in Mathematics
Selected topics in mathematics at the introductory or intermediate level.
320. Mathematical Modeling
The study of problem-solving strategies to solve open-ended, real-world problems. Prerequisite: Mathematics 210, 220, or 240.
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 220 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. Prerequisite: Mathematics 260
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 and 260.
431-432. Abstract Algebra
The axiomatic development of abstract algebraic systems, including groups, rings, integral domains, fields, and vector spaces. Prerequisite: Mathematics 220, and 235 or 260.
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 260.
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.