A systematic presentation of elementary mathematics for those who are preparing to teach in elementary and middle schools. The course provides an overall view of the number system, emphasizing ideas and concepts rather than routine drill. The following topics are surveyed: evolution of the number system, logic and sets, elementary number theory, rules for algebraic manipulation, and mathematical systems.
A continuation of MTH 111, this course examines the ideas and concepts of geometry and discrete mathematics. Included are a study of measurement in one, two, and three dimensions, synthetic, coordinate, and transformational geometry, counting theory, basic probability and basic statistics.
A continuation of MTH 111, this course examines the ideas and concepts of geometry and measurements. Included are a study of measurement in one, two, and three dimensions, properties and classification of two and three dimensional geometric objects and basic statistical displays.
A review of the basics of Euclidean Geometry will be followed by a study of empirical geometry, some finite geometries, geometric constructions and measurement activities. The activity and manipulation approach to geometry will be emphasized throughout. Required for students taking the mathematics concentration for elementary and/or middle school certification.
An exploration of algebraic ideas involving representation, organizing data, and looking for patterns, generalizing findings into a rule, and using findings to make predictions. Through the use of modeling, problem solving and exploring the multiple uses of algebraic letters, students are enabled to see the interconnections among algebraic topics from an advanced perspective.
An introductory course designed to promote the understanding of basic statistical concepts. Topics to be studied include descriptive statistics, probability of finite sample spaces, probability distributions, hypothesis testing, confidence intervals and parameter estimation.
A course designed for freshmen, it deals with the fundamental mathematical tools frequently applied in the natural, management and social sciences. Topics include functional relationships, linear systems, matrices, linear programming, mathematics of finance, sets and graphing. All topics are approached with a view toward applications.
An introductory course in statistics for the biological and health sciences covering descriptive statistics, probability and probability distributions, hypothesis testing, correlation and regression, and analysis of variance.
A college level review of algebra, trigonometry and analytic geometry. The course is designed to prepare the student for the study of calculus. A graphing calculator is required and will be used extensively.
This course will develop the theory and applications of calculus, including limits, continuity, differentiation, and an introduction to integration and the fundamental theorem of calculus. Topics from elementary functions will be reviewed as needed.
A continuation of MTH 141, covering techniques and applications of integration, polar coordinates, parametric equations, and sequences and series.
This course covers mathematical tools used in the study of discrete processes as opposed to continuous processes. These tools are frequently used in the study of computers. Topics include logic, methods of proof, relations, functions, efficiency algorithms and mathematical induction.
This course will survey the history of mathematics from the earliest known results to modern calculus, using assigned readings, problems and discussion. Required for those seeking certification to teach mathematics in middle school and high school.
Covers the principles of symbolic logic and of proof methods in elementary mathematical topics, with the goal of preparing students for reading and writing proofs in advanced mathematics courses. Offered every fall.
Systems of linear equations, matrices and determinants, vectors and vector spaces, linear dependence, linear transformations, orthogonality, eigen-values, and applications are studied. Computer activities will be included. this subject has widespread applications and also provides the first introduction to axiomatic mathematics.
A study of first- and higher-order differential equations, including solutions by series and Laplace transform. Computer activities will be included.
A course in multivariable calculus including vectors, parital differentiation and multiple integration.
This course reviews and extends topics covered in MTH 161 at a more advanced level. Topics include mathematical induction, counting, recursion, graphs and trees.
This course will develop basic concepts in number theory, including prime numbers and factorization, congruences, Fermat.s theorem, and Diophantine equations, with additional topics chosen from continued fractions, recurrences, and elliptic curves. We will also investigate applications to secure communications and cryptosystems.
An introduction to some of the techniques which can be applied to explain the behavior of complex systems and aid in management decisions. Mathematical tools include probability, statistics, calculus and linear programming. Computer applications will be included. Offered in spring of odd years only.
An analytical study of the real number system and the foundations of calculus. Topics will include axioms for the real numbers, limits, continuity, differentiability, integration as well as techniques for proving theorems
A calculus-based course in mathematical analysis for scientific and engineering applications. Topics will be drawn from vector analysis, complex arithmetic, Fourier series and transforms, Laplace transforms, and numerical methods.
See EDU 350. Required of those seeking licensure to teach high school mathematics.
Elementary probability and mathematical statistics. Emphasis is on probability distributions. Offered fall of odd years.
A continuation of MTH 405 with emphasis on the theory and applications of random samples, hypothisis testing, parameter estimation and regression. Offered spring of even years.
Required for those seeking licensure to teach high school mathematics. An axiomatic approach to algebraic structures, with the focus on groups, homomorphisms, group actions and Sylow theory. Offered fall of even years.
A continuation of the material in MTH 411. Rings, integral domains, fields and Galois theory will be studied. Offered spring of odd years.
Advanced study for qualified students.