Mathematics

A survey of algebraic techniques and of functions. Topics include solving equations and inequalities, graphs, transformations of functions, inverse functions, and exponential and logarithmic functions. Can be used as preparation for MAT109. Not applicable to a major or minor in mathematics. Students with a grade of C or higher in MAT123 (or its equivalent) may not subsequently take MAT107 for credit.

An introductory study of statistics, including such topics as numerical and graphical descriptive statistics, sampling methods and design of studies and experiments, basic probability, the distribution of sampling statistics, and inferential procedures such as confidence intervals and tests of hypotheses. Not applicable to a major or minor in Mathematics.

An introductory mathematics class with a focus on practical applications including but not limited to: money management, basic statistics, voting and social choice, and management science. Students with a grade of C or higher in MAT109 or MAT125 (or its equivalent) may not subsequently take this course for credit.  Not applicable to a major or minor in Mathematics.

A survey of algebraic and trigonometric techniques and functions designed to prepare students for the study of calculus. Topics include a review of algebra, exponential and logarithmic functions, trigonometric functions, and trigonometric identities. If time permits, systems of equations and conic sections will be introduced. Not applicable to a major or minor in mathematics.

A study of the derivative, its applications, and an introduction to the integral. Topics include limits, continuity, techniques of differentiation, optimization, the Fundamental Theorem of Calculus, and indefinite integrals.

A continuation of MAT203. A detailed development of the mathematics taught in elementary school using a problem-solving approach. Topics include further development of the real numbering system, informal geometry, probability, and statistics. For elementary education majors only.

An introduction to fundamental theoretical concepts of mathematics. Topics include logic, techniques of proof, elementary set theory, mathematical induction, relations and functions, and counting techniques.

A theoretical study of systems of linear equations and vector spaces. Topics include matrix algebra, linear transformations, eigenvalues and eigenvectors, determinants, and linear programming.

A continuation of the study of single-variable calculus, and a study of multivariable calculus. Topics include parametric equations, polar coordinates, vectors, and vector-valued functions, partial differentiation, Lagrange multipliers, and double and triple integrals.

A study of chance phenomena and probability distributions, with selected applications. Topics include probability laws and elementary combinatorics, random variables, discrete and continuous probability distributions, joint distributions, conditional probability, and Central Limit Theorem.

A rigorous but non-axiomatic treatment of advanced geometry on the Euclidean plane, from two or more points of view. Possible viewpoints include synthetic geometry, vector geometry, and geometry using complex numbers. Usually additional topic(s) will be covered, with such topics typically being drawn from axiomatic development of elementary geometry, geometry in higher dimensions, non-Euclidean geometries, and historical studies, especially geometry in non-Western cultures.

A course on modeling in statistics, with a focus on applications. Topics include: basic model designs, geometric understanding of models and random vectors, interpretation of models and inference from them (confidence intervals and hypothesis testing), investigating causation, experiments.