# Mathematics

### MATH102 Mathematics for the Professions

*1 credit*

Intensive review of fractions, decimals, percents, order of operations, solving equations, evaluating formulas, ratios and proportions and linear functions. Open only to management, nursing, and education majors and minors who do not pass the appropriate mathematics assessment exam. Graded Pass/Fail. Fall, Spring.

### MATH120 Applied Algebra and Trigonometry

Algebra and trigonometry taught in context, using technology to enhance understanding of algebraic concepts. Topics include numeracy; data analysis; linear, quadratic, and exponential growth; formula use; laws of exponents; logarithms; and systems of equations. Not open to students who have completed MATH 130 or MATH 151. Fall, Spring.

### MATH130 Precalculus

Functions explored from numerical, graphical, and analytic perspectives. Function notation, operations, and inverses. Includes study of polynomial, rational, exponential, logarithmic, and trigonometric functions. Intended as a preparation for calculus and not open to students who have taken calculus in college. Presumes competency in the content of MATH 120. Fall, Spring.

### MATH135 Discrete Mathematics for Computer Science

This course introduces the foundations of discrete mathematics as they apply to computer science. The topics covered include binary and hexadecimal number systems, sets, logic and truth tables, functions and relations, combinations and permutations, recurrence relations, Boolean algebra, graph theory, matrix operations, and induction. Fall, Summer.

### MATH141 Introductory Statistics

Basic tools of descriptive statistics, discrete probability, binomial distribution, normal distribution, t-distribution, estimates and sample sizes, hypothesis testing, elementary correlation and regression, contingency tables. Use of graphing calculator and spreadsheet software. Fall, Spring.

### MATH151 Calculus I

Topics include limits, continuity and derivatives of functions of one and two variables, integrals of a function of one variable and the Fundamental Theorem of Calculus. Applications of differentiation and development of mathematical modeling skills will be emphasized. Presumes competency in content of MATH 130. Computer algebra system introduced. Fall, Spring.

### MATH152 Calculus II

Techniques of integration for functions of one and several variables; first and second order differential equations; applications such as area, volume, and arc length; apply Taylor series to find power series representations of functions. Continued use of a computer algebra system. Prerequisite: Grade C or higher in MATH 151. Fall, Spring.

### MATH171 Structure of Number Systems

Examines the structures and properties of mathematics while focusing on the development of problem-solving skills. Includes sets, functions, whole numbers, integers, fractions, decimals, and number theory. Intended for prospective elementary school teachers. Utilizes appropriate grade-level technology. Fall, Spring.

### MATH172 Application of Number Systems

Considers applications of rational numbers, percent, probability and statistics, counting techniques, geometry, and measurement. Intended for prospective elementary school teachers. Utilizes appropriate grade-level technology. Prerequisite: Grade C or higher in MATH 171. Fall, Spring.

### MATH175 Data Analysis for Teachers

Techniques and applications of data analysis in school settings, including interpretation of standardized test scores. Addresses the use of technology to interpret data, sampling, descriptive, and inferential statistics. Use of SPSS. Fall.

### MATH218 Computer Tools for Problem Solving

An introduction to mathematical modeling and programming using software such as MATLAB and Excel, with emphasis on problem solving in mathematics and science. Some of the mathematical applications include optimization, numerical simulations, elementary probability, and differential equations. Fields of applications involve Biology, economics, and other science disciplines. Prerequisite: Grade of C or higher in MATH 151. Spring.

### MATH220 Mathematical Reasoning and Proof

Introduction to mathematical language, reasoning, and proof techniques. Designed to deepen students' mathematical problem-solving and reasoning skills. Topics include logic, set theory, proof techniques, mathematical induction, relations, functions, elementary number theory. Includes reading, writing, and development of proofs. Prerequisite: Grade of C or higher in MATH 151. Fall.

### MATH231 Linear Algebra

Develops the mathematical structures, algebraic properties, and applications of matrices, determinants, vectors, vector spaces, linear transformations, eigenvalues, and eigenvectors. Development and solution of mathematical models involving systems of linear algebraic equations and applications such as systems of linear differential equations or difference equations. Incorporates graphing calculator and computer algebra system. Prerequisite: Grade C or higher in both MATH 151 and MATH 220 or Grade C or higher in MATH 152. Spring.

### MATH241 Probability and Statistics I

A calculus-based course introducing elementary probability theory; discrete and continuous distributions and random variables; and sampling distributions. Data analysis via descriptive and inferential statistics. Includes point and interval estimation; regression and correlation; and hypothesis testing. Prerequisite: Grade C or higher in both MATH 141 and MATH 152, or permission of instructor. Fall.

### MATH242 Applied Statistics

Hypothesis testing, single linear regression, and one-way analysis of variance using calculators and statistical software. Includes problems dealing with multiple linear regression, multi-way analysis of variance, nonparametric statistics, and computer applications. Prerequisite: MATH 141 or MATH 175 or PSYC 251 or MATH 241. Spring, odd years.

### MATH251 Vector Calculus

Extends multivariable calculus to vector fields and functions. Topics include vector algebra and geometry; line and surface integrals; gradient, divergence, and curl; Lagrange multipliers; and Green's, Stokes's, and Divergence theorems. Applications to physics, engineering, and other sciences. Computer algebra system used extensively. Prerequisite: Grade C or higher in MATH 152. Spring.

### MATH275 Geometry for K-8 Teachers

An introduction to geometry for the elementary/middle school curriculum. Emphasis on proof techniques and content areas of Euclidean and non-Euclidean topics. Prerequisite: MATH 172, or MATH 220. Spring.

### IIMATH310 The Evolution of Mathematics

How have cultural, historical, and scientific factors influenced the development of mathematics? This question is addressed via an interdisciplinary study of selected mathematical ideas from different historical time periods and cultures both Western and non-Western. Includes research, writing, and oral presentation requirements. Prerequisite: 24 credits in ISP, including ITW 101 and QL. Fall.

### IIMATH315 Voting, Power, and Apportionment

An interdisciplinary introduction to the mathematical tools used in Political Science. Topics include positional voting methods, desirable properties of positional voting methods, Arrow's Impossibility Theorem, weighted voting systems, mathematical measurements of power, apportionment methods from mathematical and historical points of view, and the Balinski-Young Impossibility Theorem. Prerequisites: 24 credits in ISP including ITW 101 and QL. Spring.

### MATH320 Geometry

Rigorous treatment of Euclidean and non-Euclidean geometries. Synthetic, analytic, and transformational approaches. Axiomatic systems, parallel postulates, congruence, similarity. Incorporates the historical development of geometry and the use of geometry software. Prerequisite: Grade C or higher in MATH 220. Fall.

### MATH330 Abstract Algebra

An introduction to the basic concepts of abstract algebra. Topics include groups, rings, fields, and their homomorphisms. Prerequisite: Grade C or higher in MATH 220. Fall.

### MATH337 Number Theory

Theory and applications of properties of the integers. Mathematical induction, divisibility, division algorithm, congruencies, greatest common divisor, least common multiple, primes, Fundamental Theorem of Arithmetic, and Pythagorean triples. Also considers historical background and famous number-theoretic conjectures. Prerequisite: Grade C or higher in MATH 220. Fall.

### MATH341 Probability and Statistics II

A second course in probability and mathematical statistics addressing in depth such topics as the Central Limit Theorem, Chebyshev's theorem, covariance, multiple regression, ANOVA, nonparametric methods, and applications of probability distributions. Prerequisite: Grade C or higher in MATH 241. Spring, even years.

### MATH350 Real Analysis

A rigorous presentation of functions of one variable. Topics include limits, continuous functions, derivatives, Riemann integrals, the Fundamental Theorem of Calculus, and infinite series. Prerequisite: Grade C or higher in MATH 152 and MATH 220. Spring.

### MATH361 Differential Equations

A study of analytical and numerical solution methods for ordinary and partial differential equations. Includes series solutions and special functions for the solution of ODEs and the use of Fourier series to solve PDEs. Transform and numerical methods for solving ODEs and PDEs are introduced. Prerequisite: Grade of C or higher in MATH 152. Fall.

### MATH362 Math Modeling and Computing

Introduction to the modeling process and numerical analysis. Explores the development and solution of discrete and continuous mathematical models. Computing topics include error analysis, computational efficiency, and programming of algorithms. Methods include numerical integration, numerical solution of differential equations, interpolation, and curve fitting. Mathematical software is used throughout the course. Prerequisite: Grade C or higher in MATH 151. Spring, Even years.

### MATH375 Algebraic Concepts for K-8 Teachers

The focus is on building algebraic thinking with an emphasis on modeling real-world phenomena and the meanings represented by algebraic expressions. Topics include linear relationships; slope; linear, quadratic, and exponential functions. Connections will be drawn between algebra and geometry through patterns and other areas of overlap. Prerequisite: MATH 275. Fall.

### MATH400 Capstone in Mathematics

A senior-level course in mathematical reasoning, problem solving, and communication. Topics vary at instructor's discretion. Students will make connections and integrate previous learning, develop mathematical literacy through reading and interpreting mathematical literature, and prepare and present written and oral reports on mathematical topics. Prerequisite: MATH 330 or MATH 350. Fall.

### MATH475 Capstone in Mathematics Education

Provides a culminating experience for students pursuing the Mathematics Education for Elementary Teachers major. Students will make connections and integrate previous learning. Emphasis is on the content of mathematics and its connection with current major issues in mathematics education. Prerequisite: MATH 337 or permission of instructor. Fall.

### MATH490 Topics in Pure Mathematics

Topics from fields of pure mathematics. May be repeated with department's permission. Prerequisite: Permission of instructor.

### MATH494 Cooperative Education

*1-8 credits*

Sequential work-learning experience for which compensation may be received. Placements arranged, supervised, and evaluated by full-time faculty. Elective credit to maximum of 8 credits. Prerequisites: 2.5 cumulative GPA, declaration of Mathematics major, and permission of instructor. May be repeated for credit. Graded Pass/Fail.

### MATH498 Independent Study

*1-8 credits*

Individual investigation of selected topics. May be repeated for a total of 8 credits. Prerequisite: permission of instructor.