Mathematics Course Descriptions

Note: Knowledge of high school Algebra I, Algebra II and Geometry are prerequisites for all Mathematics courses. Students are required to have taken the Baldwin-Wallace mathematics placement test or to have scored at least 26 on the quantitative portion of the ACT or at least 560 on the quantitative portion of the SAT.
MTH 050 Independent Study (1-4 credit hours)
Independent Study Program

MTH 070 Cooperative Education/Field Experience (credit to be arranged)

MTH 111 Mathematics for Early and Middle Childhood Teachers, Part I (4 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 elementary and middle school teachers only.

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.

MTH 112 Mathematics for MiddleChildhood Teachers, Part II (4 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 (2 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 elementary 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 School Teachers (3 credit hours)
Prerequisite: MTH 112 or permision 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 elementary and/or middle school certification.

MTH 133 Algebraic Thinking Through Modeling (3 credit hours)
Prerequisite: MTH 111 and MTH 112 (grade of 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 (3 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 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 (3 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 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.

MTH 137 Mathematics Modeling and Quantitative Analysis (3 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 (3 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 (4 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 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.

MTH 141 Calculus I (4 credit hours each)
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 (4 credit hours each)
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 (4 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, relations, functions, efficiency algorithms and mathematical induction.

MTH 200 Science (1-3 credit hours)
A study of a topic in science which may involve an interdisciplinary approach. Course content is determined by the department under whose ausices the course is offered.

MTH 201 History of Mathematics (1 credit hour)
Prerquisites: MTH 141.

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.

MTH 206 Mathematical Logic and Proof Methods (1 credit hour)
Prerquisites: 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. Offered every fall.

MTH 211 Linear Algebra (4 credit hours)
Prerequisite: MTH 142 concurrently and either MTH 161 or MTH 206.

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.

MTH 212 Differential Equations (3 credit hours)
Prerequisite: MTH 243.

A study of first- and higher-order differential equations, including solutions by series and Laplace transform. Computer activities will be included.

MTH 243 Calculus III (4 credit hours)
Prerequisite: MTH 142

A course in multivariable calculus including vectors, parital differentiation and multiple integration.

MTH 262 Discrete Mathematics II (3 credit hours)
Prerequisite: MTH 161 or concurrent enfollment in MTH 206.

This course reviews and extends topics covered in MTH 161 at a more advanced level. Topics include mathematical induction, counting, recursion, graphs and trees.

MTH 263 Seminar (1-3 credit hours)
A study of selected topics in mathematics.

MTH 302 Number Theory (3 credit hours each)
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 (3 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. Offered in spring of odd years only.

MTH 311 Advanced Calculus (4 credit hours)
Prerequisite: MTH 243 and MTH 211.

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

MTH 313 Applied Analysis (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 (3 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. Required of those seeking licensure to teach high school mathematics.

MTH 335 Design and Analysis of Experiments (3-credit hours)
Prerequisites: One of the following, MTH 135 , MTH 138 , ECN 279 or PSY 278

See EDU 350. Required of those seeking licensure to teach high school mathematics.

MTH 405 Mathematical Statistics I (4 credit hours)
Prerequisite: MTH 243 or permission of the instructor.

Elementary probability and mathematical statistics. Emphasis is on probability distributions. Offered fall of odd years.

MTH 406 Mathematical Statistics II (3 credit hours)
Prerequisite: MTH 405.

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.

MTH 411 Abstract Algebra I (4 credit hours)
Prerequisite: MTH 243 and MTH 211.

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.

MTH 412 Abstract Algebra II (3 credit hours)
Prerequisite: MTH 411.

A continuation of the material in MTH 411. Rings, integral domains, fields and Galois theory will be studied. Offered spring of odd years.

MTH 463 Seminar (1-3 credit hours)
Prerequisite: Advanced standing and consent of the instructor.

Advanced study for qualified students.

MTH 491, 492 Departmental Theses/Project (credit to be arranged)
See Honors Courses.

B-W MaCs Curriculum
Last modified: May 23, 2013
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