Note: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have passed the Baldwin-Wallace mathematics placement test or to have scored at least 24 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT.
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MTH |
050 |
INDEPENDENT STUDY |
One to four credit hours |
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MTH |
070 |
INTERNSHIP |
Credits to be arranged |
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MTH |
259,359,459 |
FACULTY-STUDENT COLLABORATION |
Credit hours to be arranged |
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MTH |
111 |
MATHEMATICS FOR EARLY AND MIDDLE CHILDHOOD TEACHERS, PART I |
Four credit hours |
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Prerequisite: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have passed the Baldwin-Wallace mathematics placement test or to have scored at least 24 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT. | |||
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Open to early and middle childhood majors only. A systematic presentation of elementary mathematics for those who are preparing to teach early and middle childhood. 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. | |||
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MTH |
112 |
MATHEMATICS FOR EARLY AND MIDDLE CHILDHOOD TEACHERS, PART II |
Four credit hours |
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Prerequisite: MTH 111 or permission of the instructor. Students who have not successfully completed a high school geometry course should make special arrangements for tutoring in geometry prior to enrolling in this course. | |||
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Open to early and middle childhood majors only. 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. | |||
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MTH |
115 |
GEOMETRY FOR MIDDLE CHILDHOOD TEACHERS |
Three credit hours |
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Prerequisite: MTH 112 or permission of instructor | |||
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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 early and/or middle childhood teaching licensure. | |||
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MTH |
133 |
ALGEBRAIC THINKING THROUGH MODELING |
Three credit hours |
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Prerequisite: MTH 111 and MTH 112 (grade C- or higher in both) | |||
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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. | |||
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MTH |
135 |
INTRODUCTION TO PROBABILITY AND STATISTICS |
Three credit hours |
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Prerequisite: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have passed the Baldwin-Wallace mathematics placement test or to have scored at least 24 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT. | |||
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An introductory course designed to promote the understanding of basic statistical and probability concepts. Topics to be studied include descriptive statistics, probability of finite sample spaces, probability distributions, hypothesis testing, confidence intervals and parameter estimation. | |||
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MTH |
136 |
APPLIED COLLEGE MATHEMATICS |
Three credit hours |
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Prerequisite: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have passed the Baldwin-Wallace mathematics placement test or to have scored at least 24 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT. | |||
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This course is designed for freshmen and 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.) | |||
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MTH |
140 |
PRECALCULUS MATHEMATICS |
Four credit hours |
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Prerequisite: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have passed the Baldwin-Wallace mathematics placement test or to have scored at least 24 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT. | |||
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A college level review of algebra, trigonometry and analytic geometry. The course is designed to prepare students for the study of calculus. A graphing calculator is required, and will be used extensively. | |||
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MTH |
141,142 |
CALCULUS I, II |
Four credit hours each |
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Prerequisite: Four years of high school mathematics including trigonometry or MTH 140. Each course is a prerequisite to the one which follows. | |||
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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 the courses. | |||
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MTH |
161 |
DISCRETE MATHEMATICS I |
Four credit hours |
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Prerequisite: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have passed the Baldwin-Wallace mathematics placement test or to have scored at least 24 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT. | |||
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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, functions, efficiency of algorithms and mathematical induction. | |||
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MTH |
200 |
SCIENCE |
One to three credit hours |
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A study of a topic in science which may involve an interdisciplinary approach. Course content is determined by the department under whose auspices the course is offered. | |||
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MTH |
201 |
HISTORY OF MATHEMATICS |
Three credit hours |
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Prerequisite: Three MTH courses including MTH 141 | |||
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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 licensure to teach mathematics in middle school or high school. | |||
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MTH |
211 |
LINEAR ALGEBRA |
Four credit hours |
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Prerequisite: MTH 142 | |||
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Systems of linear equations, matrices and determinants, vectors and vector spaces, eigenvalues and eigenvectors, linear transformations, and applications are studied. Computer activities will be included. The subject has widespread applications and also provides an introduction to axiomatic mathematics. | |||
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MTH |
212 |
DIFFERENTIAL EQUATIONS |
Four credit hours |
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Prerequisite: MTH 243 | |||
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A study of first- and higher order ordinary differential equations, including solutions by series and Laplace transform. Computer activities will be included. | |||
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MTH |
243 |
CALCULUS III |
Four credit hours |
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Prerequisite: MTH 142 | |||
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A course in multivariable calculus including vectors, partial differentiation and multiple integration. Computer activities will be included. | |||
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MTH |
250 |
MATHEMATICAL LOGIC |
Three credit hours |
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Prerequisite: MTH 141 or any CSC course above 199 | |||
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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. | |||
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MTH |
262 |
DISCRETE MATHEMATICS II |
Three credit hours |
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Prerequisite: MTH 161 or MTH 142 | |||
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This course reviews and extends topics covered in MTH 161 at a more advanced level. Topics include mathematical induction, combinatorics, recursion, relations, graphs and trees. Required for those seeking licensure to teach high school mathematics. | |||
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MTH |
263 |
SEMINAR |
One to three credit hours |
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A study of selected topics in mathematics. | |||
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MTH |
307 |
INTRODUCTION TO OPERATIONS RESEARCH |
Three credit hours |
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Prerequisite: MTH 142 | |||
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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 alternate years. (Spring 2008,Spring 2010) | |||
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MTH |
311 |
ADVANCED CALCULUS I |
Four credit hours |
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Prerequisite: MTH 243 and 211 | |||
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This is an analytical study of the real number system and the foundations of calculus. Topics will include axioms for the real numbers, limits, continuity, and differentiability, as well as techniques of proving theorems. Offered alternate years. (Fall 2009, Fall 2011) | |||
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MTH |
312 |
ADVANCED CALCULUS II |
Three credit hours |
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Prerequisite: MTH 311 | |||
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A continuation of MTH 311, covering metric spaces, integration, sequences and series of numbers and of functions, and further topics as time permits. Offered alternate years. (Spring 2008, Spring 2010) | |||
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MTH |
313 |
APPLIED ANALYSIS |
Three credit hours |
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Prerequisite: MTH 243 | |||
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A course in advanced engineering mathematics covering partial differential equations, complex variables, Laplace transforms, Fourier series, vector analysis and orthogonal functions. Offered on demand. | |||
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MTH |
314 |
NUMERICAL ANALYSIS |
Three credit hours |
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Prerequisite: MTH 243 and CSC 210 | |||
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A study of numerical methods of solving problems, including those to which the computer is applicable. Offered on demand. | |||
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MTH |
315 |
COLLEGE GEOMETRY |
Three credit hours |
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Prerequisite: MTH 142 | |||
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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. Required for those seeking licensure to teach high school mathematics. Offered alternate years. (Fall 2007, Fall 2009) | |||
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MTH |
350 |
SPECIAL METHODS IN SECONDARY TEACHING FIELD |
Four credit hours |
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See EDU 350. Required of those seeking licensure to teach high school mathematics. | |||
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MTH |
405 |
MATHEMATICAL STATISTICS I |
Four credit hours |
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Prerequisite: MTH 243 | |||
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Theory of probability and mathematical statistics. Emphasis is on probability distributions. Offered alternate years. (Fall 2009, Fall 2011) | |||
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MTH |
406 |
MATHEMATICAL STATISTICS II |
Three credit hours |
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Prerequisite: MTH 405 | |||
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A continuation of MTH 405 with emphasis on the theory and applications of random samples, hypothesis testing, parameter estimation and regression. Offered alternate years. (Spring 2010, Spring 2012) | |||
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MTH |
411 |
ABSTRACT ALGEBRA I |
Four credit hours |
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Prerequisite: MTH 243 and 211 | |||
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An axiomatic approach to algebraic structures, with the focus on groups, homomorphisms and factor groups. Required for those seeking licensure to teach high school mathematics. Offered alternate years.(Fall 2008, Fall 2010) | |||
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MTH |
412 |
ABSTRACT ALGEBRA II |
Three credit hours |
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Prerequisite: MTH 411 | |||
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Continuation of the material in MTH 411. Rings, integral domains, fields and Galois theory will be studied. Offered alternate years. (Spring 2009, Spring 2011) | |||
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MTH |
463 |
SEMINAR |
One to three credit hours |
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Prerequisite: Advanced standing and consent of the instructor | |||
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Advanced study for qualified students. | |||
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MTH |
491,492 |
DEPARTMENTAL THESIS/PROJECT |
Credit hours to be arranged |
275 Eastland Rd.