# MATH - Mathematics

*Undergraduate students enrolling in undergraduate mathematics courses must have earned a grade of “C-” or higher in each prerequisite course.*

## MATH 098 Algebra Review I

*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.

### Credits

### Offered

Both Semesters and Summer## MATH 099 Algebra Review II

*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.

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### Offered

Both Semesters and Summer## MATH 106 Explorations in Elementary Mathematics I

*Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the instructor. *Early childhood and elementary/special education majors explore the complexities of the mathematics taught in elementary and middle schools. Focus is on developing a deep understanding of number, addition, subtraction, and multiplication.

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### Offered

Fall Semester## MATH 107 Explorations in Elementary Mathematics II

*Prerequisite: MATH 098 or Level IB placement on the Basic Math Skills Inventory or permission of the instructor*. Early childhood and elementary/special education majors explore the complexities of the mathematics taught in elementary and middle schools. Focus is on developing a deep understanding of geometry and measurement.

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### Offered

Spring Semester## MATH 108 Explorations in Elementary Mathematics III

*Prerequisite: MATH 106. *Early childhood and elementary/special education majors explore the complexities of the mathematics taught in elementary and middle schools. Focus is on developing a deep understanding of division, ratios, proportional relationships, algebraic expressions and equations, and basic number theory.

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### Offered

Spring Semester## MATH 111 Mathematics Everywhere

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Both Semesters## MATH 111A The Mathematics of Daily Life

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Either Semester## MATH 111B The Mathematics of Democracy

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Either Semester## MATH 111G The Mathematics of Games and Sports

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Either Semester## MATH 112 Applied Statistics

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Summer and/or Both Semesters## MATH 112W Workshop Statistics

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Spring Semester## MATH 120 Pre-Calculus Mathematics

*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.

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### Offered

Both Semesters## MATH 120L Pre-Calculus Workshop

*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.*

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### Offered

Both Semesters## MATH 201 Calculus I

*Prerequisite: MATH 120 or Level III placement on Basic Math Skills Inventory. * Relationships, functions, rates of change, derivatives of functions of one variable, applications of derivatives, the definite integral, antiderivatives, and the Fundamental Theorem of Calculus. Emphasis is on: problem solving, collaborative work, computer exploration, writing.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Both Semesters## MATH 202 Calculus II

*Prerequisite: MATH 201 or permission of the instructor. *
Initial value problems; techniques of integration; 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.

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### Offered

Both Semesters## MATH 207 Discrete Math

*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.

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### Offered

Both Semesters## MATH 213 Statistical Concepts and Methods

*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.

### Credits

### Core

Computation/Quantitative Literacy### Offered

Spring Semester## MATH 253 Multivariable Calculus

*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.

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### Offered

Fall Semester## MATH 304 Differential Equations

*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.

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### Offered

Spring Semester (Odd Years)## MATH 320 Modeling and Simulation

*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.

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### Offered

Spring Semester (Even Years)## MATH 333 Introduction to Abstract Mathematics

*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.

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### Offered

Fall Semester## MATH 335 Teaching Assistantship in Mathematics

*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.

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### Offered

Either Semester## MATH 336 Introduction to Modern Geometry

*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.

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### Offered

Spring Semester (Odd Years)## MATH 339 Linear Algebra

*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.

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### Offered

Fall Semester## MATH 351 Probability and Statistics

*Prerequisites: MATH 112 or equivalent and MATH 202*. 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.

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### Offered

Fall Semester (Odd Years)## MATH 375 Independent Study

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

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### Offered

Both Semesters and Summer## MATH 397 Special Topics

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

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### Offered

As needed## MATH 398 Mathematics Tutorial

*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.

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### Offered

Either Semester## MATH 399 Internship in Mathematics

*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.

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### Offered

Both Semesters and Summer## MATH 407 Introduction to Graph Theory

*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.

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### Cross Listed Courses

Double-numbered course; offered with graduate-level MATH 507### Offered

Spring Semester (Odd Years)## MATH 409 Elementary Number Theory

*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.

### Credits

### Cross Listed Courses

Double-numbered course; offered with graduate-level MATH 509### Offered

Fall Semester (Odd Years)## MATH 440 Introduction to Abstract Algebra

*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.

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### Offered

Spring Semester (Even Years)## MATH 453 Introduction to Real Analysis

*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.

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### Offered

Spring Semester (Odd Years)## MATH 454 The Real Number System

*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.

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### Offered

Fall Semester (Even Years)## MATH 456 Numerical Analysis

*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.

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### Offered

Fall Semester (Even Years)## MATH 470 Seminar: The History of Mathematics

*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.

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### Core

Global Perspectives### Offered

Fall Semester## MATH 499 Departmental Honors

*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.