Mathematics Courses
Note: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses.
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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 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 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 |
113 |
MATHEMATICS FOR EARLY CHILDHOOD TEACHERS, PART II |
Two 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 childhood majors only. 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. |
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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 linear, quadratic, exponential functions, linear systems, linear programming, mathematics of finance, and statistics. (All topics are approached with a view toward applications.) |
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MTH |
137 |
MATHEMATICS MODELING & QUANTITATIVE ANALYSIS |
Three credit hours |
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The course takes a numerical and modeling approach to the analysis of contextual-based mathematics with a de-emphasis on algebraic manipulations. Students utilize both paper-and-pencil and current technologies to further develop quantitative reasoning. Topics may include collecting, organizing, and interpreting sets of univariate data, fitting functions and graphs to bivariate data including linear and non-linear models, problem-solving, decision-making, probability and statistics. The focus is activity-based with a high-level of student engagement. The course satisfies the core mathematics requirement. |
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MTH |
138 |
BIOSTATISTICS |
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 in statistics for the biological and health sciences covering descriptive statistics, probability and probability distributions, hypothesis testing, correlation and regression, and analysis of variance. |
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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 University-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 |
CALCULUS I |
Four credit hours |
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Prerequisite: Four years of high school mathematics, including trigonometry, or MTH 140. |
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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. |
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MTH |
142 |
CALCULUS II |
Four credit hours |
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Prerequisite: MTH 141 |
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A continuation of MTH 141, covering techniques and applications of integration, polar coordinates, parametric equations, and sequences and series. |
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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 |
201 |
HISTORY OF MATHEMATICS |
One credit hour |
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Prerequisite: 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 |
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MTH |
206 |
MATHEMATICAL LOGIC AND PROOF METHODS |
One credit hour |
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Prerequisite: MTH 141 |
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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. |
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MTH |
211 |
LINEAR ALGEBRA |
Four credit hours |
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Prerequisite: MTH 142 and either MTH 161 or MTH 206 (MTH 142 may be taken concurrently) |
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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 |
Three credit hours |
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Prerequisite: MTH 243 |
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An introductory course in ordinary differential equations and their applications. Topics will include first-order differential equations, higher-order linear equations, series solutions, and systems of differential equations. Computer technology will also be used. |
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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 |
262 |
DISCRETE MATHEMATICS II |
Three credit hours |
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Prerequisite: MTH 161 or concurrent enrollment in MTH 206 |
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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 |
302 |
NUMBER THEORY |
Three credit hours |
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Prerequisite: MTH 262 or MTH 211 |
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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. |
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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. |
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MTH |
311 |
ADVANCED CALCULUS |
Four credit hours |
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Prerequisite: MTH 211 and 243 |
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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. |
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MTH |
313 |
APPLIED ANALYSIS |
Three credit hours |
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Prerequisite: MTH 243 |
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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. |
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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. |
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MTH |
335 |
DESIGN AND ANALYSIS OF EXPERIMENTS |
Three credit hours |
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Prerequisite: One of the following, MTH 135, MTH 138, ECN 279 or PSY 279 |
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The course is an introductory course in the design and analysis of experiments. It is intended for those who have completed a one semester course in statistics. Students will learn to properly plan a statistical study to meet specified objectives in order to ensure that the right type of data of sufficient sample size is available to answer the questions of interest in an economical manner. |
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EDU |
357 |
SPECIAL METHODS IN SECONDARY TEACHING FIELD |
Four credit hours |
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See EDU 357. |
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MTH |
405 |
THEORY OF PROBABILITY |
Four credit hours |
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Prerequisite: MTH 243 or permission of instructor. A course in elementary statistics is also highly recommended but not required. |
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Theory of probability and mathematical statistics, with emphasis on probability distributions. |
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MTH |
406 |
MATHEMATICAL STATISTICS |
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. |
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MTH |
411 |
ABSTRACT ALGEBRA |
Four credit hours |
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Prerequisite: MTH 211 and 243 |
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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. |
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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 |