Mathematics

 

Mathematics Courses

Note: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses.
 

MTH

050

INDEPENDENT STUDY

One to four credit hours

See Independent Study Program, Section II.

MTH

070

INTERNSHIP

Credits to be arranged

See Internship Program, Section II.

MTH

259,359,459

FACULTY-STUDENT COLLABORATION

Credit hours to be arranged

See FSC Program, Section II.

MTH

111

MATHEMATICS FOR EARLY AND MIDDLE CHILDHOOD TEACHERS, PART I

Four credit hours

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.

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.

MTH

112

MATHEMATICS FOR MIDDLE CHILDHOOD TEACHERS, PART II

Four credit hours

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.

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.

MTH

113

MATHEMATICS FOR EARLY CHILDHOOD TEACHERS, PART II

Two credit hours

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.

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.

MTH

115

GEOMETRY FOR MIDDLE CHILDHOOD TEACHERS

Three credit hours

Prerequisite: MTH 112 or permission of instructor

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.

MTH

133

ALGEBRAIC THINKING THROUGH MODELING

Three credit hours

Prerequisite: MTH 111 and MTH 112 (grade C- or higher in both)

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.

MTH

135

INTRODUCTION TO PROBABILITY AND STATISTICS

Three credit hours

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.

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.

MTH

136

APPLIED COLLEGE MATHEMATICS

Three credit hours

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.

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.)

MTH

137

MATHEMATICS MODELING & QUANTITATIVE ANALYSIS

Three credit hours

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.

MTH

138

BIOSTATISTICS

Three credit hours

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.

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.

MTH

140

PRECALCULUS MATHEMATICS

Four credit hours

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.

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.

MTH

141

CALCULUS I

Four credit hours

Prerequisite: Four years of high school mathematics, including trigonometry, or MTH 140.

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.

MTH

142

CALCULUS II

Four credit hours

Prerequisite: MTH 141

A continuation of MTH 141, covering techniques and applications of integration, polar coordinates, parametric equations, and sequences and series.

MTH

161

DISCRETE MATHEMATICS I

Four credit hours

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.

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.

MTH

201

HISTORY OF MATHEMATICS

One credit hour

Prerequisite: MTH 141

This course will survey the history of mathematics from the earliest known results to modern calculus, using assigned readings, problems and discussion

MTH

206

MATHEMATICAL LOGIC AND PROOF METHODS

One credit hour

Prerequisite: MTH 141

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.

MTH

211

LINEAR ALGEBRA

Four credit hours

Prerequisite: MTH 142 and either MTH 161 or MTH 206 (MTH 142 may be taken concurrently)

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.

MTH

212

DIFFERENTIAL EQUATIONS

Three credit hours

Prerequisite: MTH 243

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.

MTH

243

CALCULUS III

Four credit hours

Prerequisite: MTH 142

A course in multivariable calculus including vectors, partial differentiation and multiple integration. Computer activities will be included.

MTH

262

DISCRETE MATHEMATICS II

Three credit hours

Prerequisite: MTH 161 or concurrent enrollment in MTH 206

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.

MTH

263

SEMINAR

One to three credit hours

A study of selected topics in mathematics.

MTH

302

NUMBER THEORY

Three credit hours

Prerequisite: MTH 262 or MTH 211

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.

MTH

307

INTRODUCTION TO OPERATIONS RESEARCH

Three credit hours

Prerequisite: MTH 142

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.

MTH

311

ADVANCED CALCULUS

Four credit hours

Prerequisite: MTH 211 and 243

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.

MTH

313

APPLIED ANALYSIS

Three credit hours

Prerequisite: MTH 243

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.

MTH

315

COLLEGE GEOMETRY

Three credit hours

Prerequisite: MTH 142

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.

MTH

335

DESIGN AND ANALYSIS OF EXPERIMENTS

Three credit hours

Prerequisite: One of the following, MTH 135, MTH 138, ECN 279 or PSY 279

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.

EDU

357

SPECIAL METHODS IN SECONDARY TEACHING FIELD

Four credit hours

See EDU 357.

MTH

405

THEORY OF PROBABILITY

Four credit hours

Prerequisite: MTH 243 or permission of instructor. A course in elementary statistics is also highly recommended but not required.

Theory of probability and mathematical statistics, with emphasis on probability distributions.

MTH

406

MATHEMATICAL STATISTICS

Three credit hours

Prerequisite: MTH 405

A continuation of MTH 405 with emphasis on the theory and applications of random samples, hypothesis testing, parameter estimation and regression.

MTH

411

ABSTRACT ALGEBRA

Four credit hours

Prerequisite: MTH 211 and 243

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.

MTH

463

SEMINAR

One to three credit hours

Prerequisite: Advanced standing and consent of the instructor

Advanced study for qualified students.

MTH

491,492

DEPARTMENTAL THESIS/PROJECT

Credit hours to be arranged

See Departmental Thesis/Project, Section II

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