# Mathematics Course Descriptions

AP Scores in Calculus and Statistics

Students who earn a score of 3 on CalculusAB will receive

Credits: 4 for MATHU 203: Analytic Geometry and Calculus I. Students who earn a score of 4 or 5 in Calculus AB or a score of 3 in CalculusBC will receive

Credits: 4 for MATHU 204: Analytic Geometry and Calculus II. Students who earn a score of 4 or 5 in CalculusBC will receive 4 credits for MATHU 212: Calculus and Modern Analysis II.

Students who earn a 3 in Statistics will receive

Credits: 3 for MATHU 225: Introduction to Statistics I. Students who earn a score of 4 or 5 in Statistics will receive 3 credits for MATHU 262: Probability and Statistics.

Mathematical Proficiency Requirement:

Every student must demonstrate the attainment of reasonable proficiency in mathematics. Incoming students will take a proficiency exam, and the results will help determine whether the student has attained the required level or will enter a developmental program. Fulfillment of the mathematics proficiency requirement is necessary for graduation.

For each course beyond MATHU 100, the required proficiency level is listed in the course description. Students may not enroll in any mathematics course for which they are not qualified.

Course descriptions that are designated with a (P) fulfill the Problem Solving Ways of Knowing requirement of the Core Curriculum.

Math Courses MATHU 100 Developmental Mathematics: Basic Skills and Principles

Credits: 3*

A fundamental course in basic mathematical skills, designed for students who are, for any reason, inadequately prepared for college level mathematics. Includes a study of the real number system and basic concepts of algebra. The course may be required for some students as a result of the Mathematics Proficiency Examination. *Credits from this course are not applicable toward a degree. Offered every semester.

MATHU 115 Understanding Our Quantitative World (P)

Credits: 3

An approach to quantitative literacy in the 21st century. Intended to help students realize that mathematics is a useful tool for interpreting information; see mathematics as a way of viewing the world rather than memorizing formulas; and become comfortable using and interpreting mathematics outside the classroom. Topics drawn from function theory and statistics, both from the perspective of mathematical modeling. In addition to the traditional presentation of content, this course will include regular group exploratory activities as ways to access and understand mathematical concepts. Prerequisite: Math Proficiency level 3. Offered every semester. Students who earn a grade of C or better fulfill the mathematics proficiency requirement (at level 2B) for graduation. Not intended for students whose major requires additional mathematics, since it does not fulfill the prerequisite for MATHU 201, 203, 211, 225, or 231.

MATHU 121-122 Precalculus I and II (P)

Credits: 3 each

A review and development of topics needed for the further study of mathematics including calculus and mathematics for management. Includes: algebraic operations, equations and inequalities, algebraic and transcendental functions, analytic geometry and graphing. Prerequisite for MATHU 121: MATHU 100 or Math Proficiency level 2 or 3. Prerequisite for MATHU 122: Successful completion of MATHU 121 or permission of Department. MATHU 121 Offered every Fall. MATHU 122 Offered every Spring. Not open to students who have successfully completed a mathematics course beyond the 100 level or whose mathematics proficiency level is level 1. Students who earn a grade of C or better in MATHU 121 or MATHU 122 fulfill the mathematics proficiency requirement (at level 2A) for graduation. Students who successfully complete MATHU 121 and who are planning a major in business or science are strongly advised to take MATHU 122 before enrolling in mathematics courses required for their major.

MATHU 201 Mathematics for Management and the Social Sciences I (P)

Credits: 3

A study of functions and linear models, polynomial and rational functions, exponential and logarithmic functions, modeling, mathematics of finance, linear systems and matrices, linear programming. Emphasis on applications to business, management, and the life sciences. Prerequisite: MATHU 122 or Math Proficiency level 1 or 2A. Offered every Fall.

MATHU 202 Mathematics for Management and the Social Sciences II (P)

Credits: 3

Differential and integral calculus with applications to business, management, and the life sciences. Prerequisite: MATHU 201 or Math Proficiency level 1 or 2Aand permission of the Department. Offered every Spring.

MATHU 203 Analytic Geometry and Calculus I (P)

Credits: 4

Elements of analytic geometry, functions, limits, differentiation, applications of the derivative. Prerequisite: MATHU 122 or Math Proficiency level 1 or 2A. Offered every Fall.

MATHU 204 Analytic Geometry and Calculus II (P)

Credits: 4

Studies and problems of integration, applications of the integral, integration of exponential, logarithmic, trigonometric and inverse trigonometric functions, methods of integration. Prerequisite: MATHU 211 or 203. Offered every Spring.

MATHU 211 Calculus and Modern Analysis I (P)

Credits: 4

Functions, differentiation, applications of the derivative, Fundamental Theorem of the Calculus, integration. Includes computer laboratory experiences to reinforce many of the basic concepts of calculus and related mathematical procedures. Prerequisite: Math Proficiency level 1or permission of the Department. Offered every Fall.

MATHU 212 Calculus and Modern Analysis II (P)

Credits: 4

Applications of the integral, integration of transcendental functions, methods of integration, improper integrals, indeterminate forms, Taylor’s Formula. Includes computer lab experiences for exploratory and directed activities in calculus. Prerequisite: MATHU 211 or permission of the Department. Offered every Spring.

MATHU 215 Mathematics for Liberal Arts (P)

Credits: 3

An enrichment course designed to emphasize the interrelationships between mathematics and other fields of human endeavor. Topics selected from a broad spectrum are covered in sufficient depth to convey to the non-specialist an appreciation of the power of mathematics and its contribution to the history of civilization. Prerequisite: Math Proficiency level 1 or 2A or 2B.

MATHU 225 Introduction to Statistics I (P)

Credits: 3

Summarizing data graphically and descriptively, elements of probability, discrete and continuous distributions, sampling, construction of confidence intervals. Prerequisite: Math Proficiency level 1 or 2A. Offered every Fall.

MATHU 226 Introduction to Statistics II (P)

Credits: 3

Sampling procedures; inferences about means, standard deviations, and proportions; regression and correlation; analysis of variance; nonparametric methods. Prerequisite: MATHU 225. Offered every Spring.

MATHU 231-232 Basic Mathematical Theory and Applications (P)

Credits: 3 each

A development of basic mathematical concepts and skills needed by students in education and related fields. Emphasis on mathematical reasoning, problem solving, and connecting mathematics, its ideas, and its applications. Topics include: real number system; sets and logic; patterns, relations and functions; elementary number theory; geometry; measurement; probability and statistics. Prerequisite for MATHU 231: Math Proficiency level 1 or 2A. Prerequisite for MATHU 232: Successful completion of MATHU 231 or math proficiency level 1 or 2A and permission of the Department. MATHU 231 Offered every Fall. MATHU 232 Offered every Spring.

MATHU 251 Calculus and Linear Algebra (P)

Credits: 3

Systems of linear equations, matrices and determinants, vectors in 2-space and 3-space, vector spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite: MATHU 212 or 204 or permission of the Department.

MATHU 252 Calculus and Modern Analysis III (P)

Credits: 3

Infinite series, plane curves, parametric equations, vectors and the geometry of space, differential calculus of functions of several variables and applications thereof, multiple integration with applications. Prerequisite: MATHU 212 or 204.

MATHU 261 Discrete Methods in Mathematics (P)

Credits: 3

Introduction to basic techniques and modes of reasoning of combinatorial problem solving. Topics chosen from graph theory and combinatorics: graphs as models, trees, graph coloring, Eulerian and Hamiltonian circuits, elementary counting principles, permutations and combinations, inclusion/exclusion principle, recurrence relations. Required for Secondary Certification. Prerequisite: MATHU 212, 204, or 202or permission of the Department.

MATHU 262 Probability and Statistics (P)

Credits: 3

Organizing and describing data, general probability theory, standard distributions, significance tests, confidence intervals, regression and correlation. Prerequisite: MATHU 211 or 203 or permission of the Department.

MATHU 305 Abstract Algebra I

Credits: 3

Introduction to an axiomatic treatment of mathematics, including proofs, and to algebraic structures. Topics include sets and mappings; binary operations; congruence classes and equivalence relations. Group Theory topics include permutation groups; normal subgroups; quotient groups; homomorphisms. Ring Theory is introduced. Prerequisite: MATHU 251or permission of the Department.

MATHU 306 Abstract Algebra II

Credits: 3

A continuation of the study of algebraic structures. Ring Theory topics include: ideals, homomorphisms, integral domains, polynomial rings; fields, vector spaces, linear transformations, and selected applications. Prerequisite: MATHU 305.

MATHU 307 Differential Equations

Credits: 3

Theory and methods of solving first order, first degree differential equations, linear differential equations, equations of higher degree; selection from Laplace transformations, systems of equations, series solutions. Applications of differential equations. Prerequisite: MATHU 212 or 204.

MATHU 317 Special Methods in Mathematics

Credits: 3

Covers topics considered essential for successful teaching of mathematics at the secondary level, including careful analysis of the standards and goals established by the National Council of Teachers of Mathematics. Students observe classes and meet for discussion on content, methods, lesson planning, test construction, and other items related to secondary teaching.

MATHU 321 Advanced Calculus

Credits: 3

Sets and functions, topological terminology, sequences, continuity and its implications, differentiation, integration, series and uniform convergence, selected topics. Prerequisite: MATHU 252.

MATHU 331 Mathematical Modeling

Credits: 3

Major techniques in developing basic models. Creative and empirical model construction, model analysis, and model research. These are studied by examples as well as by experiential projects incorporating the modeling process. Prerequisite: MATHU 212, 204, or 202.

MATHU 341 Introduction to Operations Research

Credits: 3

Basics of operations research: applied linear programming, the simplex method, the dual problem and postoptimality analysis, the transportation and assignment problems. Prerequisite: MATHU 251.

MATHU 342 Fundamentals of Geometry

Credits: 3

The study of axiomatic systems, Euclidean, non-Euclidean and transformation geometries. Required for Secondary Certification. Offered when needed. Prerequisite: MATHU 251 or permission of the Department.

MATHU 400 Honors

Independent study during junior and senior years culminating in an honors thesis determined by the interests of the student. By Departmental invitation only.

MATHU 401(1st), 402(2nd) Internship

Credits: 3

A program to provide the mathematical sciences major with the opportunity to integrate academic discipline with practical experience in related fields. Open to qualified juniors. Requirement includes seminar and comprehensive paper related to the field experience.

(See Academic Program/Internship – Page xxx)

MATHU 481(F),482(S) Special Topics

Credits: 3

An in-depth investigation of a particular area of mathematics. Requires permission of the instructor, since the topic and its prerequisites may vary from year to year.

MATHU 498-499 Modern Mathematical Theory: Seminar I and II

Credits: 4

Seminars in selected topics such as cardinal numbers and ordering of infinite sets, characteristics of axiomatic systems, symbolic logic, Boolean algebras, number theory, history of mathematics, others according to interests of students. Mathematics majors complete and present a research project in mathematics. Mathematical and computer science majors complete and present a research project that incorporates mathematics and computer science.