MATH - Mathematics

Prerequisite: Level I placement on the Basic Math Skills Inventory. A review of basic concepts of arithmetic and elementary algebra. Topics include fractions, decimals, percents, operations with real numbers, linear equations and inequalities, graphs and functions, solving linear systems, exponents, polynomials, and problem solving. Grading is on a satisfactory/unsatisfactory basis.

Prerequisite: MATH 098 or permission of instructor. Topics include factoring polynomials, rational expressions, absolute value equations and inequalities, radicals, rational exponents, quadratic equations, and problem solving. Grading is on a satisfactory/unsatisfactory basis.

Prerequisite: MATH 099 or Level II placement on the Basic Math Skills Inventory or permission of the instructor. Open to early childhood and elementary/special education majors with sophomore standing; open to others with permission of the instructor. Credit by exam. Focus on developing a deep understanding of the fundamental ideas of elementary school mathematics: place value and multidigit calculations; the properties of integers, rationals, and reals; representing and justifying arithmetic claims; algebraic notation; representing functions by graphs, tables and formulas; appropriate use of technology.

Prerequisite: MATH 106. Open to early childhood education and elementary/special education majors with sophomore standing, and to others with permission of the instructor. Topics include visualization skills; basic shapes; the process of measurement; geometric concepts of length, area, and volume; designing data investigations and making judgments under conditions of uncertainty. Integrated mathematics laboratory approach, including the use of appropriate technology.

Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the department. These courses promote students' understanding and appreciation of mathematics and develop quantitative and problem solving skills. Each course uses the computer to aid in exploration and computation. Various topics are offered each semester.

Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the department. This course addresses a wide range of applications of basic mathematical ideas to modern life. Topics include: mathematical tools that businesses use to schedule and plan efficiently; number codes such as UPC, ZIP codes, and ISBN codes that help organize our lives; and surprising paradoxes and complexities of elections.

Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the department. A mathematical study of two basic questions about democracy, "How do we vote?" and "How do we allocate power?", revealing surprising paradoxes and complications. The course explores why we vote the way we do, what problems arise in voting, and what alternatives are being tried.

Prerequisites: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the department. How often is a perfect game pitched? Why split 8s in blackjack? How is a tournament scheduled for seven teams? Should you bet on a color or a number in roulette? Students will explore all of these questions and more using probability, linear models, graph theory, and more. This class also uses computational tools to solve problems and analyze data.

Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the instructor. Not open to students who have received credit for ECMG 212, MATH 112W, MATH 213, PSY 211 or SOC 261. Statistics with emphasis on applications. Topics covered include statistical measures, normal distribution, sampling theory, statistical inference, hypothesis testing and quality control, correlation, regression and analysis of variance. Students will use statistical software packages on the computer to explore topics in more depth.

Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the instructor. Not open to students who have received credit for ECMG 212, MATH 112, MATH 213, PSY 211 or SOC 261. An active-learning approach to introductory statistics. Emphasis is on collaboration, discovery, and use of technology. Topics covered are the same as those in MATH 112: statistical measures, distributions, sampling, inference, confidence intervals, correlation, regression, ANOVA. Students will use a statistical software package.

Prerequisite: MATH 099 or Level II placement on the Basic Math Skills Inventory. Credit by exam. Not open to students who have received credit for MATH 201 or its equivalent. Functions and graphs: polynomial, exponential, logarithmic and trigonometric functions; analytic geometry. Emphasis is on problem-solving, mathematical modeling and the use of technology. Designed primarily as preparation for calculus.

Prerequisite: Level 1.7 mathematics placement score; concurrent enrollment in MATH 120. Students in this class will work on algebra skills necessary to be successful in MATH 120. Each week's workshop will parallel the content of MATH 120 for that week. Grading is on a satisfactory/unsatisfactory basis.

Prerequisite: MATH 120 or Level III placement on Basic Math Skills Inventory. Relationships, functions, rates of change, initial value problems, derivatives of functions of one variable, numerical solutions, applications. Emphasis is on: problem solving, collaborative work, computer exploration, writing.

Prerequisite: MATH 201 or permission of the instructor.  Antiderivatives and the Fundamental Theorem of Calculus; distance, velocity, and acceleration; the definite integral; uses of integrals and representations of functions; distribution and density functions; Taylor polynomials and infinite series. Emphasis is on problem-solving, collaborative work, computer exploration, writing.

Prerequisite: MATH 120 or Level III placement on the Basic Math Skills Inventory or permission of the instructor. An introduction to basic concepts and techniques of discrete mathematics. Topics include logic, sets, positional numeration systems, mathematical induction, elementary combinatorics, algorithms, matrices, recursion and the basic concepts of graphs and trees. The relationship to the computer will be stressed throughout.

Prerequisite: MATH 120 or Level III placement on the Basic Math Skills Inventory. An introduction to the practice of statistics, its applications, and its mathematical underpinnings. Focus is on data, activities, technology, conceptual understanding. This course is intended for mathematics and science majors.

Prerequisites: MATH 202 or permission of instructor. Calculus in several variables: multivariable functions, partial/directional derivatives, the gradient, multiple integrals, different coordinate systems, parametric equations, vector-valued functions, velocity, curvature, vector fields, line integrals, Green’s Theorem. Emphasis is on problem solving, collaborative work, computer exploration, writing.

Prerequisite: MATH 202 or permission of the instructor. The study and application of the ideas and techniques of calculus to the solution of real-world problems. Emphasis is on qualitative, numerical and analytic methods of solution. Extensive use of the computer.

Prerequisites: MATH 202 and completion of or concurrent enrollment in MATH 213, MATH 112, MATH 112W, ECMG 212, PSY 211 or SOC 261. Developing and using mathematical models to analyze and solve real-world problems. Topics will include discrete and continuous, empirical and stochastic models. Students will use computer software for analysis and simulation and will complete individual and group projects.

Prerequisites: MATH 202 and MATH 207 or permission of the instructor. An introduction to mathematical rigor and proof encountered in advanced mathematics. Topics include logic, sets, elementary number theory, relations, functions, limits, cardinality, the complex number system.

Prerequisite: Permission of the department. May be repeated for a maximum of 4 credits. An opportunity for students to serve as teaching assistants for lower-division mathematics courses. Under the supervision of department faculty or The Josephine Steiner Center for Academic Achievement and Retention staff, assistants will aid students in improving their mathematical skills. Grading is on a satisfactory/unsatisfactory basis.

Prerequisites: MATH 207. An investigation of Euclidean and non-Euclidean geometries. Use of computer technology and independent work will be an integral part of the course.

Prerequisites: Any two mathematics courses at the 200-level. A modern introduction to linear algebra and its applications. Emphasis on geometric interpretation, extensive use of the computer. Linear systems, matrices, linear transformations, eigenvalues and dynamical systems.

Prerequisites: MATH 112 or equivalent and MATH 253. A calculus-based course on the theory and application of modern probability and statistics. Topics will be chosen from the following: events and probabilities, random variables and distributions, expectation, conditional probability and independence, the Central Limit Theorem, hypothesis testing, confidence intervals, linear models, ANOVA.

Prerequisite: Permission of the instructor. The study of selected topics in mathematics or computing, accomplished through reading, problem assignments and projects.

An upper-level special topics course offered at the discretion of the department. The content and methods vary with the interest of students and faculty members

Prerequisite: Permission of instructor. An opportunity to work with a faculty member and a small group of students in a semester-long program of directed study.

Prerequisites: 21 credits of mathematics courses at the 200-level or above and permission of the department. Supervised work in mathematics-related projects in a governmental, private-industrial or educational setting. In order to enroll in this course, a student must meet College internship requirements. Grading is on a satisfactory/unsatisfactory basis.

Prerequisite: MATH 333 or equivalent A rigorous study of the theory of graphs, including simple and directed graphs, circuits, graph algorithms, connectedness, planarity and coloring problems.

Prerequisite: MATH 333 An introduction to the theory of numbers: divisibility, prime numbers, unique factorization, congruences, Euler’s phi-function, Fermat’s and Wilson’s theorems, multiplicative functions, quadratic reciprocity, perfect numbers and applications to Diophantine equations. Applications include public-key cryptography and integer arithmetic.

Prerequisites: MATH 333 and MATH 339, or permission of the instructor. The study of the basic structures of modern abstract algebra: groups, rings and fields. Topics include cosets, direct products, homomorphisms, quotient structures and factorization. Applications may include symmetry groups, coding theory and connections with graph theory.

Prerequisites: MATH 253 and MATH 333, or permission of the instructor. An introduction to real analysis and its development: infinite series, differentiability, continuity, the Riemann and Cauchy integrals, uniform convergence. Computer exploration and visualization are an essential part of the course.

Prerequisites: MATH 253 and MATH 333. A theoretical development of the real number system. Properties of real numbers. Binary operations. Associative, commutative, and distributive laws. Rational and irrational numbers. Laws of exponents. Radicals. Decimal representation. This course is intended only for students enrolled in the secondary mathematics education program. A student may not receive credit for both MATH 454 and MATH 453.

Prerequisites: MATH 339 or permission of the instructor. The theory and applications of numerical computing: interpolation and curve-fitting, solutions of algebraic and functional equations, numerical integration, numerical solutions of differential equations.

Prerequisites: Senior standing and either MATH 440 OR MATH 453 or permission of the department. A seminar in the history of mathematics. Students will use primary and secondary resources, both print and non-print, to explore the history of mathematics from pre-history to the present.

Prerequisite: MATH 470. Each student will complete a conference poster and a substantial research paper on a topic in the history of mathematics. Students will present the results of their research at an appropriate venue.

Prerequisite: By invitation of the department. The departmental honors paper is a two-semester senior-year program designed for students who wish to pursue intensive research or special projects in close coordination with faculty advisers. Departmental honors students are known as the Christine P. Tischer Scholars and receive 6 credits for this work.