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 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.
This course includes a study of fundamental mathematics concepts selected from the following: logic, sequences, analytic geometry, spatial geometry, conic sections, wave motion, exponential functions, probability and statistics. Topics are approached from the perspective of understanding the abstract structures underlying many different aspects of the human experience.
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.
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.
A sequence comprising a unified course in differential and integral calculus of a single variable. Topics from elementary functions are reviewed as needed. Computer symbol manipulation and graph generation software will be an integral part of these course.
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.
Required for those seeking certification to teach mathematics in middle school and high school.
This course will survey the history of mathematics from the earliest known results to modern calculus, using assigned readings, problems and discussion.
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.
The principles and methods of symbolic logic are studied, with the goal of providing formal procedures of analysis and deduction to be used in advanced studies of both computer science and mathematics.
Offered on demand.
This course reviews and extends topics covered in MTH 161 at a more advanced level. Topics include mathematical induction, counting, recursion, graphs and trees.
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 alternate years only. Offered 1999-2000.
An analytical study of the real number system and the foundations of calculus. Topics to be included are limits, continuity, differentiation, integration and metric spaces.
Offered in alternate years only. Offered 1999-2000.
A continuation of MTH 311 covering differentiation and integration in several variables, infinite sequences and series of number functions, and further topics such as the Stieltjes and/or Lebesgue integrals, vector analysis and Fourier analysis.
Offered in alternate years only. Offered 1999-2000.
Application to problems in engineering, physics and chemistry using concepts such as ordinary and partial differential equations, complex variables, Laplace transforms, Fourier series, vector analysis and orthogonal functions.
Offered on demand.
A study of numerical methods of solving problems, including those to which the computer is applicable.
Offered in alternate years only. Offered 1999-2000.
Required for those seeking certification to teach high school mathematics.
A continuation of the subject matter and methods of high school geometry, including theorems not taught in high school and an introduction to the modern geometry of the triangle and circle. Special attention is given to methods of proof and solving problems, the viewpoint being that of the prospective teacher or graduate student in mathematics. Finite and non-Euclidean geometries will be studied.
Offered in alternate years only. Offered 1999-2000.
A study of selected problems from various non-mathematical disciplines and their solution by mathematical methods.
Offered in alternate years only. Offered 1995-96, 1997-98.
Elementary probability and mathematical statistics. Emphasis is on probability distributions.
Offered in alternate years only. Offered 1998-1999, 2000-2001.
A continuation of MTH 405 with emphasis on the theory and applications of random samples, hypothisis testing, parameter estimation and regression.
Offered in alternate years only. Offered 1998-1999, 2000-2001.
Required for those seeking certification to teach high school mathematics.
An axiomatic approach to algebraic structures, with the focus on groups, homomorphisms, group actions and Sylow theory.
Offered in alternate years only. Offered 1998-1999, 2000-2001.
A continuation of the material in MTH 411. Rings, integral domains, fields and Galois theory will be studied.
Offered in alternate years only. Offered 1998-1999, 2000-2001.
Advanced study for qualified students.
| B-W | MaCs | Curriculum |