Mathematics and Computer Science

Offered: Typically Fall, Short, Spring, and Summer terms

This course is designed for students who need to review and master pre-algebra topics, including computation of whole numbers, decimals, fractions, and integers; ratio, proportion, and percent; and geometry. NOTE: This full-term course will provide students with one (1) load credit.

Noncredit

Prerequisite: Completion or waiver of MAT 010

Offered: Typically Fall, Short, Spring, and Summer terms

This course is designed for students who need to review and master the first half of the elementary algebra topics, including a review of the MAT 010 topics; solving linear equations and inequalities; negative exponents; scientific notation; operations with polynomials; factoring polynomials; and operations with rational expressions. NOTE: This full-term course will provide students with one (1) load credit.

Noncredit

Prerequisite: Completion or waiver of MAT 011

Offered: Typically Fall, Short, Spring, and Summer terms

This course is the third and final course in the developmental math sequence; consequently, the content consists of review of the material covered in the first two developmental math courses, reinforcing and expanding that material, and also covers linear graphing; solving linear systems of equations; basic problem solving; rational expressions and exponents; roots and radicals; and quadratic equations. Students will be exposed to proper study skills for learning mathematics and will participate in group learning activities. The course is designed to prepare students for subsequent courses with quantitative reasoning/mathematics content. NOTE: This full-term course will provide students with one (1) load credit.

Noncredit

Prerequisite: Completion or waiver of MAT 012

Offered: Typically Fall and Spring terms and as student interest and faculty availability allow

This course provides an introduction to computers and to mathematical modeling of problems from the real world with an emphasis on using the computer as a flexible problem-solving, predictive, and exploratory tool. A selected computer-application package is studied in depth and used to explore a variety of applied examples. This computer package may vary from section to section. Practical Reasoning with Quantitative Emphasis (PRQ). NOTE: Noncredit for students who completed or waived MAT 101, 110 (no longer offered at Berea College), 115, or 135 (formerly 220).

1 Course

Prerequisite: Completion or waiver of MAT 012

Offered: Typically Fall and Spring terms and as student interest and faculty availability allow

This course is designed for students with little mathematics background who wish to gain experience with the basic concepts of statistics and their applications. Topics include graphic representations of data; measures of central tendency and variability; linear regression and correlation; probability; sampling distributions; estimation using confidence intervals; and significance testing. Practical Reasoning with Quantitative Emphasis (PRQ). NOTE: This course is not intended for Mathematics majors and is noncredit for students who completed ECO 250 or MAT 311.

1 Course

Prerequisite: Completion or waiver of MAT 012

Offered: Typically Fall and Spring terms

Discrete mathematics is that branch of mathematics that deals with arrangements of distinct objects. The course will focus on three basic questions related to these arrangements: the existence of such arrangements, the counting of such arrangements, and the selection of a "best" arrangement based upon some criterion. Techniques from this branch of mathematics have application in a wide variety of practical everyday situations, such as how to find the best route for snowplows in a city or what voting method would best represent the will of the voters. Other useful applications include how to count the number of different possible combinations of color and type of a marketed product, how best to schedule a list of tasks to be done, and how to view game theory as a model of social interaction. Discrete mathematical models are used by decision makers in our society, from workers in government to those in health care, transportation, and telecommunications. Practical Reasoning with Quantitative Emphasis (PRQ).

1 Course

Prerequisite: Completion or waiver of MAT 012

Offered: Typically annually (not offered 2008-2009, as an exception; next offered 2009-2010)

The state of the planet will be discussed from differing points of view. Local and global issues such as air, land, and water pollution; energy production and consumption; forest, wetland, and other resource management; and waste disposal will be considered. Mathematical models will be developed and explored on the computer in order to make predictions and to consider solutions regarding the environmental problems that face our world. Practical Reasoning with Quantitative Emphasis (PRQ). NOTE: Noncredit for students who completed or waived MAT 101, 110 (no longer offered at Berea College), 115, or 135 (formerly MAT 220).

1 Course

Prerequisite: Completion or waiver of MAT 012

Offered: Typically Fall and Spring terms

This course offers a study of algebraic functions and their uses in mathematical modeling. Topics will include the real-number system; basic concepts of functions and graphs; linear, polynomial, rational, exponential, and logarithmic functions and models; and the solutions of systems of linear equations. Applications to various disciplines will be investigated through the development and analysis of mathematical models. Computer graphics and computational packages will be introduced to aid in the analysis of selected applications. Practical Reasoning with Quantitative Emphasis (PRQ). NOTE: Noncredit for students who completed or waived MAT 135 (formerly 220).

1 Course

Prerequisite: Completion or waiver of MAT 115

Offered: Typically Fall and Spring terms

This course offers a study of trigonometry and trigonometric functions. Topics will include a review of basic concepts of functions and graphs; trigonometric functions; analytic trigonometry; trigonometric equations; and polar coordinates and vectors. Applications of trigonometry will be investigated through the development and analysis of mathematical models. Computer graphics and computational packages will be introduced to aid in the analysis of selected applications. Practical Reasoning with Quantitative Emphasis (PRQ).

1 Course

Prerequisite: A knowledge of trigonometry and MAT 110, 112, or 125 (110 and 112 no longer offered at Berea) with a grade of C or higher, or waiver of same based on placement test

Offered: Typically Fall and Spring terms

A study of analytic methods in geometry precedes an introduction to differential calculus. Main topics include exponential, logarithmic, and trigonometric functions, limits, continuity, differentiation, indeterminate forms, and applications of differential calculus. Practical Reasoning with Quantitative Emphasis (PRQ) Requirement. NOTE: Noncredit for students who completed this course as MAT 220.

1 Course

Prerequisites: Determined by instructor

Offered: Typically as student interest and faculty availability allow

A course designed to meet the particular interests of student and faculty. Topics vary from year to year. See course description in the "Schedule of Classes."

1/4 to 1 Course

Prerequisite: Completion or waiver of MAT 012

Offered: Typically every Fall Term

This course will be a study of basic ideas of sets, operations on sets, the counting numbers, and the extension of the numbers to include the rational and real number systems. Throughout the course, the emphasis will be on understanding ideas in mathematics through problem solving and the use of manipulatives, and using this understanding to investigate and develop strategies for teaching elementary mathematics. Observing and teaching children are required for all students enrolled.

1 Course

Prerequisite: Completion or waiver of MAT 012; MAT 201, with a grade of C or higher

Offered: Typically every Spring Term

This course is a continuation of MAT 201. Topics in mathematics to be covered include: definitions, axioms, similarity, congruence, areas, and volumes. Throughout the course, the emphasis will be on understanding ideas in mathematics through problem solving and the use of manipulatives, and using this understanding to investigate and develop strategies for teaching elementary mathematics. Observing and teaching children are required of all students enrolled.

1 Course

Prerequisite: MAT 135 (formerly 220) or permission of instructor

Offered: Typically every Spring Term

This course is intended for students interested in acquiring some familiarity with an abstract mathematical structure that is rich with applications in other areas of mathematics and in the social and physical sciences. Topics to be studied include vector spaces, linear transformations, and matrices. Practical Reasoning with Quantitative Emphasis (PRQ). NOTE: Noncredit for students who completed MAT 314.

1 Course

Prerequisite: MAT 135 (formerly 220) with a grade of C or higher

Offered: Typically Fall and Spring terms

This course is a continuation of MAT 135 . Main topics include the definite integral, applications of the definite integral, integration techniques, numerical integration, and series. Microcomputer graphics and computational packages will be introduced and used in the analysis of selected problems. Practical Reasoning with Quantitative Emphasis (PRQ) Requirement.

1 Course

Prerequisites: Determined by instructor

Offered: Typically as student interest and faculty availability allow

A course designed to meet the particular interests of student and faculty. Topics vary from year to year. See course description in the "Schedule of Classes."

1/2 to 1 Course

Prerequisite: Permission of instructor

Offered: Typically alternate years (next offered Fall 2008)

This course is designed to acquaint prospective secondary-school teachers with the issues affecting the teaching of mathematics including theory, research, content, and methodology; the resources available to assist them in teaching mathematics; and the NCTM's Professional Standards. Particular emphasis will be given to the use of manipulatives, technology, problem solving, and cooperative learning in the teaching of mathematics. Observing and teaching youths are required of all students enrolled.

1 Course

Prerequisite: MAT 135 (formerly 220) with a grade of C or higher;MAT 225 or concurrent enrollment; or permission of instructor

Offered: Typically alternate Fall Terms (next offered Fall 2008)

Designed to provide a solid foundation in probability theory. The student should gain an understanding to mathematical concepts and techniques necessary to study statistical inference. Practical Reasoning with Quantitative Emphasis (PRQ).

1 Course

Prerequisite: MAT 135 (formerly 220) or permission of instructor

Offered: Typically alternate years (next offered 2009-2010)

Operations Research is an applied area employing both mathematics and computer science in addressing certain kinds of decision problems arising in a wide variety of disciplinary and professional contexts. The goals of the course will be to develop skills in identifying typical problems; formulating, solving, and interpreting appropriate models; and developing interactive feedback with the problem environment. Topics include linear programming and network formulations; the simplex algorithm and its computer implementation; sensitivity analysis; duality; network algorithms; and dynamic programming. Practical Reasoning with Quantitative Emphasis (PRQ).

1 Course

Prerequisite: MAT 135 (formerly 220)

Offered: Typically every Fall Term

Designed to acquaint students with some of the concepts and methods fundamental to all areas of mathematics. Topics will include set theory, relations, functions, logic, methods of proof, cardinality, and selected properties of the real number system. Practical Reasoning (PR).

1 Course

Prerequisite: MAT 315

Offered: Typically alternate years (next offered Spring 2009)

This course will include an overall view of the structure of geometry evolving from the basic axioms of Euclidean geometry. The interrelationships between various geometries such as affine, neutral, hyperbolic, projective, elliptic, and others will be studied, as well as some of the easier, important results of each. Because this material is necessary for a good understanding of Euclidean geometry, it is important that those students considering a high-school teaching career in mathematics enroll in this course.

1 Course

Prerequisite: MAT 225 with a grade of C or higher

Offered: Typically every Spring Term

This course is a continuation of MAT 225. Main topics include three dimensional vectors, space, curves, solid analytic geometry, differential calculus of several variables, and multiple integration. Microcomputer graphics and computational packages will be introduced and used in the analysis of selected problems. Practical Reasoning with Quantitative Emphasis (PRQ) Requirement.

1 Course

Prerequisites: Determined by instructor

Offered: Typically as student interest and faculty availability allow

A course designed to meet the particular interests of student and faculty. Topics vary from year to year. See course description in the "Schedule of Classes."

1/2 to 1 Course

Prerequisite: Sophomore or junior standing for 390; senior standing for 490

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by the student. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Department Chairperson, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 390/490A if approved to meet the Active Learning Experience (ALE) or as 390/490B if approved as non-ALE.

1 Course

Prerequisite: Sophomore or junior standing for 390; senior standing for 490

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by the student. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Department Chairperson, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 390/490A if approved to meet the Active Learning Experience (ALE) or as 390/490B if approved as non-ALE.

1 Course

Prerequisite: Sophomore, junior, or senior standing

Offered: Typically every term

An experiential learning experience individually designed for students with a special academic interest requiring integration of classroom learning with practical experience. Includes on-campus seminars with academic sponsors, as well as non-classroom experience. One to three course credits in one 14-week term or one course credit in Short Term may be taken in Internships. Requires the approval of two faculty sponsors and the Program assumes the responsibility for determining credit allowance. The Coordinator of Internships gives final approval for Internship proposals. This course may be used to meet the Active Learning Experience (ALE) requirement. NOTE: To count as a CFS Internship, the primary sponsor must be a full-time member of the CFS faculty. The CFS Department has imposed specific expectations for Internships within this Department. Please check with the Department Chairperson for additional information.

1 to 3 Courses

Prerequisite: Sophomore or junior standing for 397; senior standing for 497

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by two or more students who have a similar interest in the topic proposed. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Program Director, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 397/497A if approved to meet the Active Learning Experience (ALE) or as 397/497B if approved as non-ALE.

1 Course

Prerequisite: Sophomore or junior standing for 397; senior standing for 497

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by two or more students who have a similar interest in the topic proposed. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Program Director, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 397/497A if approved to meet the Active Learning Experience (ALE) or as 397/497B if approved as non-ALE.

1 Course

Prerequisites: Will vary, but always will include permission of instructor

Offered: Typically on a limited basis as student interest and faculty availability allow

A course organized and directed by faculty and approved by the Department Chairperson to meet the particular interests and/or needs of specific students.

1 Course

Prerequisite: MAT 315 and 330 or permission of instructor

Offered: Typically alternate years (next offered 2009-2010)

A course designed to introduce students to the methods and topics essential to the study of algebraic structure and its implications. An introduction to group theory will serve to launch an investigation of more highly structured algebras such as rings, integral domains, and fields.

1 Course

Prerequisites: MAT 225; one course chosen from CSC 125, 126, or 226 (formerly 205, 206, or 306); AND one course chosen from MAT 214 (formerly 314), 315, or 330

Offered: Typically alternate Spring Terms (next offered Spring 2010)

This course is designed for students who are concerned with the development of approximation methods and their use in locating roots of equations, interpolation, numerical differentiation, numerical integrations, and solution of systems of linear equations.

1 Course

Prerequisite: MAT 315 and 330, or permission of instructor

Offered: Typically alternate years (next offered 2009-2010)

Basic algebraic and topological properties of the real number system will be established and then applied to the study of such concepts as limit, continuity, differentiation, integration, and infinite series.

1 Course

Prerequisite: MAT 330

Offered: Typically alternate years (next offered Spring 2009)

The main objective will be to study functions of a complex variable. The study will draw heavily on the student's previous experience with functions of a real variable. Topics will include the complex numbers differentiation and integration of functions of a complex variable; power series representation; analytic functions; and the calculus of residues.

1 Course

Prerequisite: MAT 315 and 330, or permission of instructor

Offered: Typically alternate years (next offered 2008-2009)

Topological spaces will be approached by abstracting from a preliminary study of metric spaces. Topics in metric and/or topological settings include open and closed sets; open base and subbase; first and second countability; dense sets; continuity; metrizability; and compactness, connectedness, and separation properties.

1 Course

Prerequisite: MAT 330

Offered: Typically every Fall Term

This course provides an introduction to both pure and applied aspects of differential equations. Topics to be studied include first-order equations, second-order linear equations, oscillation theory, power-series solutions, systems of first-order equations, nonlinear equations, and numerical methods. Practical Reasoning with Quantitative Emphasis (PRQ).

1 Course

Prerequisite: MAT 311 and 330

Offered: Typically alternate Spring Terms (next offered Spring 2009)

A continuation of MAT 311. The student should gain an appreciation of the nature, scope, and theoretical basis of methods of statistical inference. Topics will include estimation, hypotheses testing, and linear regression. Applications will be discussed.

1 Course

Prerequisites: Determined by instructor

Offered: Typically as student interest and faculty availability allow

A course designed to meet the particular interests of student and faculty. Topics vary from year to year. See course description in the "Schedule of Classes."

1/2 to 1 Course

Prerequisite: Sophomore or junior standing for 390; senior standing for 490

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by the student. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Department Chairperson, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 390/490A if approved to meet the Active Learning Experience (ALE) or as 390/490B if approved as non-ALE.

1 Course

Prerequisite: Sophomore or junior standing for 390; senior standing for 490

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by the student. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Department Chairperson, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 390/490A if approved to meet the Active Learning Experience (ALE) or as 390/490B if approved as non-ALE.

1 Course

Prerequisite: Permission of instructor and senior standing

Offered: Typically Fall and Spring terms

During the senior year, each Mathematics major is required to register for this course. Each student's project will begin with a lead paper provided by a faculty-resource person. The project will involve preparation of a 4-10 page research paper and will conclude with an oral presentation. Successful completion of this course will satisfy the major's field-writing requirement.

1/4 Course

Prerequisite: Sophomore, junior, or senior standing

Offered: Typically every term

An experiential learning experience individually designed for students with a special academic interest requiring integration of classroom learning with practical experience. Includes on-campus seminars with academic sponsors, as well as non-classroom experience. One to three course credits in one 14-week term or one course credit in Short Term may be taken in Internships. Requires the approval of two faculty sponsors and the Program assumes the responsibility for determining credit allowance. The Coordinator of Internships gives final approval for Internship proposals. This course may be used to meet the Active Learning Experience (ALE) requirement. NOTE: To count as a CFS Internship, the primary sponsor must be a full-time member of the CFS faculty. The CFS Department has imposed specific expectations for Internships within this Department. Please check with the Department Chairperson for additional information.

1 to 3 Courses

Prerequisite: Sophomore or junior standing for 397; senior standing for 497

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by two or more students who have a similar interest in the topic proposed. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Program Director, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 397/497A if approved to meet the Active Learning Experience (ALE) or as 397/497B if approved as non-ALE.

1 Course

Prerequisite: Sophomore or junior standing for 397; senior standing for 497

Offered: Typically as student interest and faculty availability allow

A course initiated, directed, and organized by two or more students who have a similar interest in the topic proposed. All such courses are to be supported by a faculty sponsor, second reader, academic adviser, Program Director, and possibly others. Course proposals must meet the approval of the Coordinator of Advising (the Academic Program Council liaison). Will be registered by the Office of Academic Services as 397/497A if approved to meet the Active Learning Experience (ALE) or as 397/497B if approved as non-ALE.

1 Course

Prerequisites: Will vary, but always will include permission of instructor

Offered: Typically on a limited basis as student interest and faculty availability allow

A course organized and directed by faculty and approved by the Department Chairperson to meet the particular interests and/or needs of specific students.

1 Course