Mathematics

105. Quantitative Reasoning.

A survey of quantitative topics to prepare students for college courses requiring quantitative reasoning skills. Interdisciplinary topics will build skills in these areas: descriptive statistics; graphical analysis with an emphasis on dimensional analysis and slope; problem solving and informal proof; functions, ratios and proportions. Emphasis will be placed on the use of technology and writing-to-learn mathematics. Cornerstone 2B. Satisfies the Quantitative Literacy Competency. Three hours.

105T. Quantitative Reasoning.

An examination covering the concepts in the course Math 105. Passing this exam satisfies the Quantitative Literacy Competency and serves as a prerequisite for subsequent courses, but does not satisfy the Cornerstone 2B requirement. Grade recorded as P/NP only. Zero hours.

116. Mathematics for Elementary School Teachers.

Fundamental concepts of elementary mathematics, including a discussion of logic, sets and set operations, relations, number and numeration systems, and geometry. Prerequisite: One of the following: Math 105/105T, Math ACT of 22 or higher, or Math SAT of 530 or higher. Cornerstone 2B. Three hours.

130. College Algebra.

This course presents the fundamentals of college algebra. Topics include equations and inequalities in one variable, linear, polynomial, rational, radical, exponential and logarithmic functions; graphing; and systems of equations. Prerequisite: Students with a Math ACT lower than 18 are strongly encouraged to take Math 105 before Math 130. Satisfies the Quantitative Literacy Competency. Four hours.

130T. College Algebra

An examination over the concepts covered in the course Math 130. Passing this exam satisfies the Quantitative Literacy Competency and serves as the prerequisite for subsequent courses. Grade recorded as P/NP only. Zero hours.

131. Trigonometry.

The course presents the fundamental concepts of trigonometry needed for calculus. Topics include right triangle and general trigonometry and trigonometric functions. Prerequisite: One of the following: Math 130T, Math 130 (can be enrolled concurrently), Math ACT of 24 of higher, Math SAT of 570 or higher. One hour.

140. Elements of Calculus.

Topics include limits, continuity, derivatives, applications of derivatives, definite and indefinite integrals, and applications of integration. This course covers algebraic, exponential and logarithmic functions. Applications are drawn from many disciplines including economics, social science and biology. Students should take either Math 151 or Math 140, not both. Prerequisite: One of the following: Math 130/130T, Math ACT of 24 or higher, or Math SAT of 570 or higher. Cornerstone 2B. Four hours.

151. Calculus I.

Topics include limits, continuity, derivatives, applications of derivatives, and definite and indefinite integrals. This course covers algebraic, trigonometric, exponential and logarithmic functions. Applications are drawn from many disciplines including economics, social science and biology. Students should take either Math 151 or Math 140, not both. Prerequisite: One of the following: Math 130/130T, Math ACT of 24 or higher, or Math SAT of 570 or higher. Students whose backgrounds do not include trigonometry should register for Mathematics 131 concurrently with Mathematics 151. Cornerstone 2B. Four hours.

152. Calculus II.

Topics include applications of integration, methods of integration, improper integrals and polar coordinates. Prerequisite: Mathematics 151. Four hours.

180. Discrete Mathematics.

This course covers selected topics in mathematics that are essential to the study of computer science as well as other science disciplines. The course focuses on developing problem-solving and reasoning skills based on the set-theoretical approach. Topics include basic concepts of logic, set theory, induction and recursion, relations, functions and methods of proof, recursion and induction, and graphs. Prerequisite: One of the following: Math 130/130T, Math ACT of 24 or higher, or Math SAT of 570 or higher. Co-requisite: Computer Science 150, Fundamentals of Computing I or permission of instructor. Same as Computer Science 180. Three hours.

190. Special Topics in Mathematics.

201. Elementary Statistics.

This course presents the fundamentals of descriptive and inferential statistics from an applications-oriented perspective. Topics include central tendency and variability, frequency distributions, elementary probability theory, binomial, normal, and t-distributions, sampling theory, confidence intervals, hypothesis testing. Other topics may include correlation and regression, chi-square distributions and analysis of variance. Prerequisite: One of the following: Math 105/105T, Math 130/130T, Math ACT of 22 or higher, or Math SAT of 530 or higher. Cornerstone 2B. Three hours. Same as Econ 201. Students majoring in a Social Science should take Soc/Psyc 210 rather than this course. Credit will not be given for both Soc/Psyc 210 and Math/Econ 201.

251. Calculus III.

This course is an introduction to multivariable calculus. Topics include functions of several variables, partial derivatives, multiple integrals, infinite series, and vector calculus. Use of a computer algebra system will allow for exploration of multidimensional calculus concepts. Prerequisite: Math 152. Four hours.

255. Linear Algebra.

Topics include systems of linear equations, matrices, determinants, vectors, vector spaces, linear transformations, diagonalization, and applications. Prerequisite: One of Math 140 or Math 151 and one of Math 180 or Math 265. Three hours.

260. Differential Equations.

Topics include first order equations and applications, second order linear equations and applications, systems of fi rst order equations, series solutions, and Laplace transforms. Use of a computer algebra system will allow for the computation of complex systems of differential equations and their applications. Prerequisite: Math 251. Four hours.

265. Introduction to Advanced Mathematics.

Designed to serve as a bridge from elementary calculus to abstract mathematics. Emphasis is placed on understanding basic mathematical concepts and using methods of proof. Topics include operations, relations, functions, sets, topology of the reals, and methods of proof. Prerequisite: Mathematics 152. Three hours.

290. Special Topics in Mathematics.

310. Mathematical Modeling.

An introductory study of mathematical models used in the social, life, and management sciences and their role in explaining and predicting reallife phenomena. Mathematical content from a variety of courses is used in the development of the models, possibly including algebra, calculus, differential equations and linear algebra. Prerequisite: Mathematics 152. Three hours.

315. Graph Theory.

An introduction to the study of graph theory, including connectivity, trees, cycles, matching theory, coloring and planarity. Prerequisite: Mathematics 265. Three hours.

331. Real Analysis.

A careful study of the basic concepts of real analysis, including real numbers, limits, continuity, derivatives, Riemann integrals, and infinite series. Prerequisite: Mathematics 265. Three hours.

335. Probability.

A calculus based approach to probability, discrete and continuous probability distributions, basic sampling distribution theory, and estimation. Corequisite: Mathematics 251. Three hours.

336. Mathematical Statistics.

Topics include nonparametric methods of statistical inference, chi-square tests of models, linear statistical models, and tests of statistical hypotheses. Prerequisite: Mathematics 335. Three hours.

340. History of Mathematics.

An introduction to the people, cultures and topics that have shaped mathematics. Topics will be selected from the development of number, algebra, geometry, trigonometry and calculus and will include contributions by Mesopotamian, Egyptian, Greek, Islamic and eastern civilizations. Prerequisite: Mathematics 251. Three hours.

350. Abstract Algebra.

This course covers fundamentals of modern algebra, including a survey of the following algebraic systems: semigroups, groups, rings, integral domains, fields, and vector spaces. Prerequisite: Mathematics 265. Three hours.

360. Complex Variables.

An introduction to the study of functions of a complex variable, including the algebra of the complex numbers, the topology of the complex plane, analytic functions, integration techniques, conformal transformations and applications. Prerequisite: Mathematics 251. Three hours.

365. Theory of Computation.

Same as Computer Science 365. See the computer science listing for course description. Three hours.

375. Geometry.

This course includes a careful review of Euclidean geometry based upon Hilbert’s axiom system and an introduction to hyperbolic geometry. Prerequisite: Mathematics 265. Three hours.

385. Senior Seminar.

A capstone course in mathematics. Emphasis will be placed on further development of skills in the areas of written and oral communication, problem solving, and research. Topics may be drawn from any area of mathematics including graph theory, geometry, algebra, game theory, topology and analysis. (This course is open to mathematics majors only.) Prerequisite: Senior standing. Three hours.

390. Special Topics in Mathematics.

398. Research in Mathematics.

Independent research in any of the areas of mathematics. This course cannot be used as a required 300-level elective for the mathematics major. Prerequisite: Junior or senior standing and permission of the mathematics department chair. One to three hours.


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Mathematics 105. Quantitative Reasoning. A survey of quantitative topics to prepare students for college courses requiring quantitative reasoning skills. Interdisciplinary topics will build skills in these areas: descriptive statistics; graphical analysis with an emphasis on dimensional analysis and slope; problem solving and informal proof; functions, ratios and proportions. Emphasis will be placed on the use of technology and writing-to-learn mathematics. Cornerstone 2B. Satisfies the Quantitative Literacy Competency. Three hours. 105T. Quantitative Reasoning. An examination covering the concepts in the course Math 105. Passing this exam satisfies the Quantitative Literacy Competency and serves as a prerequisite for subsequent courses, but does not satisfy the Cornerstone 2B requirement. Grade recorded as P/NP only. Zero hours. 116. Mathematics for Elementary School Teachers. Fundamental concepts of elementary mathematics, including a discussion of logic, sets and set operations, relations, number and numeration systems, and geometry. Prerequisite: One of the following: Math 105/105T, Math ACT of 22 or higher, or Math SAT of 530 or higher. Cornerstone 2B. Three hours. 130. College Algebra. This course presents the fundamentals of college algebra. Topics include equations and inequalities in one variable, linear, polynomial, rational, radical, exponential and logarithmic functions; graphing; and systems of equations. Prerequisite: Students with a Math ACT lower than 18 are strongly encouraged to take Math 105 before Math 130. Satisfies the Quantitative Literacy Competency. Four hours. 130T. College Algebra An examination over the concepts covered in the course Math 130. Passing this exam satisfies the Quantitative Literacy Competency and serves as the prerequisite for subsequent courses. Grade recorded as P/NP only. Zero hours. 131. Trigonometry. The course presents the fundamental concepts of trigonometry needed for calculus. Topics include right triangle and general trigonometry and trigonometric functions. Prerequisite: One of the following: Math 130T, Math 130 (can be enrolled concurrently), Math ACT of 24 of higher, Math SAT of 570 or higher. One hour. 140. Elements of Calculus. Topics include limits, continuity, derivatives, applications of derivatives, definite and indefinite integrals, and applications of integration. This course covers algebraic, exponential and logarithmic functions. Applications are drawn from many disciplines including economics, social science and biology. Students should take either Math 151 or Math 140, not both. Prerequisite: One of the following: Math 130/130T, Math ACT of 24 or higher, or Math SAT of 570 or higher. Cornerstone 2B. Four hours. 151. Calculus I. Topics include limits, continuity, derivatives, applications of derivatives, and definite and indefinite integrals. This course covers algebraic, trigonometric, exponential and logarithmic functions. Applications are drawn from many disciplines including economics, social science and biology. Students should take either Math 151 or Math 140, not both. Prerequisite: One of the following: Math 130/130T, Math ACT of 24 or higher, or Math SAT of 570 or higher. Students whose backgrounds do not include trigonometry should register for Mathematics 131 concurrently with Mathematics 151. Cornerstone 2B. Four hours. 152. Calculus II. Topics include applications of integration, methods of integration, improper integrals and polar coordinates. Prerequisite: Mathematics 151. Four hours. 180. Discrete Mathematics. This course covers selected topics in mathematics that are essential to the study of computer science as well as other science disciplines. The course focuses on developing problem-solving and reasoning skills based on the set-theoretical approach. Topics include basic concepts of logic, set theory, induction and recursion, relations, functions and methods of proof, recursion and induction, and graphs. Prerequisite: One of the following: Math 130/130T, Math ACT of 24 or higher, or Math SAT of 570 or higher. Co-requisite: Computer Science 150, Fundamentals of Computing I or permission of instructor. Same as Computer Science 180. Three hours. 190. Special Topics in Mathematics. 201. Elementary Statistics. This course presents the fundamentals of descriptive and inferential statistics from an applications-oriented perspective. Topics include central tendency and variability, frequency distributions, elementary probability theory, binomial, normal, and t-distributions, sampling theory, confidence intervals, hypothesis testing. Other topics may include correlation and regression, chi-square distributions and analysis of variance. Prerequisite: One of the following: Math 105/105T, Math 130/130T, Math ACT of 22 or higher, or Math SAT of 530 or higher. Cornerstone 2B. Three hours. Same as Econ 201. Students majoring in a Social Science should take Soc/Psyc 210 rather than this course. Credit will not be given for both Soc/Psyc 210 and Math/Econ 201. 251. Calculus III. This course is an introduction to multivariable calculus. Topics include functions of several variables, partial derivatives, multiple integrals, infinite series, and vector calculus. Use of a computer algebra system will allow for exploration of multidimensional calculus concepts. Prerequisite: Math 152. Four hours. 255. Linear Algebra. Topics include systems of linear equations, matrices, determinants, vectors, vector spaces, linear transformations, diagonalization, and applications. Prerequisite: One of Math 140 or Math 151 and one of Math 180 or Math 265. Three hours. 260. Differential Equations. Topics include first order equations and applications, second order linear equations and applications, systems of fi rst order equations, series solutions, and Laplace transforms. Use of a computer algebra system will allow for the computation of complex systems of differential equations and their applications. Prerequisite: Math 251. Four hours. 265. Introduction to Advanced Mathematics. Designed to serve as a bridge from elementary calculus to abstract mathematics. Emphasis is placed on understanding basic mathematical concepts and using methods of proof. Topics include operations, relations, functions, sets, topology of the reals, and methods of proof. Prerequisite: Mathematics 152. Three hours. 290. Special Topics in Mathematics. 310. Mathematical Modeling. An introductory study of mathematical models used in the social, life, and management sciences and their role in explaining and predicting reallife phenomena. Mathematical content from a variety of courses is used in the development of the models, possibly including algebra, calculus, differential equations and linear algebra. Prerequisite: Mathematics 152. Three hours. 315. Graph Theory. An introduction to the study of graph theory, including connectivity, trees, cycles, matching theory, coloring and planarity. Prerequisite: Mathematics 265. Three hours. 331. Real Analysis. A careful study of the basic concepts of real analysis, including real numbers, limits, continuity, derivatives, Riemann integrals, and infinite series. Prerequisite: Mathematics 265. Three hours. 335. Probability. A calculus based approach to probability, discrete and continuous probability distributions, basic sampling distribution theory, and estimation. Corequisite: Mathematics 251. Three hours. 336. Mathematical Statistics. Topics include nonparametric methods of statistical inference, chi-square tests of models, linear statistical models, and tests of statistical hypotheses. Prerequisite: Mathematics 335. Three hours. 340. History of Mathematics. An introduction to the people, cultures and topics that have shaped mathematics. Topics will be selected from the development of number, algebra, geometry, trigonometry and calculus and will include contributions by Mesopotamian, Egyptian, Greek, Islamic and eastern civilizations. Prerequisite: Mathematics 251. Three hours. 350. Abstract Algebra. This course covers fundamentals of modern algebra, including a survey of the following algebraic systems: semigroups, groups, rings, integral domains, fields, and vector spaces. Prerequisite: Mathematics 265. Three hours. 360. Complex Variables. An introduction to the study of functions of a complex variable, including the algebra of the complex numbers, the topology of the complex plane, analytic functions, integration techniques, conformal transformations and applications. Prerequisite: Mathematics 251. Three hours. 365. Theory of Computation. Same as Computer Science 365. See the computer science listing for course description. Three hours. 375. Geometry. This course includes a careful review of Euclidean geometry based upon Hilbert’s axiom system and an introduction to hyperbolic geometry. Prerequisite: Mathematics 265. Three hours. 385. Senior Seminar. A capstone course in mathematics. Emphasis will be placed on further development of skills in the areas of written and oral communication, problem solving, and research. Topics may be drawn from any area of mathematics including graph theory, geometry, algebra, game theory, topology and analysis. (This course is open to mathematics majors only.) Prerequisite: Senior standing. Three hours. 390. Special Topics in Mathematics. 398. Research in Mathematics. Independent research in any of the areas of mathematics. This course cannot be used as a required 300-level elective for the mathematics major. Prerequisite: Junior or senior standing and permission of the mathematics department chair. One to three hours.
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