Mathematics

This course is intended for students lacking a foundation for study of college-level mathematics. Development of skills and concepts in math are addressed through: operations with real numbers, including hierarchy of operations; the notion of equivalent expressions; exponents, roots, and radicals; polynomial arithmetic, with an emphasis on factoring; solving algebraic equations and inequalities; formula manipulation; and applications of these concepts/topics. Use of calculators is prohibited in this course. Students who score 18 or lower on the Mathematics sub-score of the ACT or have an SAT Math score below 510 MUST enroll in Math 099. This course requires 2 hours of laboratory each week. *3 cr hrs toward academic load, but not counted toward the required minimum credits for graduation. This course is a prerequisite for students not meeting admission standards into MATH 105. Fall/Spring.

This course is designed to be a logical foundation for both the classical instance of algebra in MATH 115 College Algebra and the alternative general education course, MATH 110 Reasoning and Problem Solving. Emphasis is on the logical and computational elements: operators, operands, expressions. Exercises address interpretation and use of math language and notation, algebra of sets, algebra of numbers, and processes utilized in solving linear and quadratic equations and inequalities. Scientific calculators are permitted in this course, but graphing calculators are not. Prerequisite: Math ACT of 19 or higher, or Math SAT 510 or higher, or a grade of C- or higher in MATH-099. Fall/Spring.

The mathematical reasoning involved in problem solving is explored through various mathematical concepts: coordinate geometry; functions and function notation; properties and applications of linear, quadratic, exponential, and logarithmic fuctions; elementary couting principles, basic probability; and descriptive statistics. Topics from systems of linear equations in included as time permits. Scientific calculators are required in this course; graphing calculators are permitted, but not required. A student receiving credit for MATH 110 cannot receive credit for MATH 115. Prerequisite: Mathematics ACT subscore of 21 or higher, OR SAT score of 530 or higher, OR a grade of C- or better in MATH 105. Fall/Spring.

Real-valued functions are investigated including: evaluation, graphing, composition, and inverse relations; properties and applications of the exponential and logarithmic functions; solution methods for systems of equations, including matrix algebra are covered as time allows. Scientific calculators are required in this course; graphing calculators are permitted, but not required. A student receiving credit for MATH 115 cannot receive credit for MATH 110. Prerequisite: Mathematics ACT subscore of 21 or higher, OR SAT score of 530 or higher, OR a grade of C- or better in MATH 105. Fall/Spring.

Specific preparation for calculus and physics through the study of right triangle trigonometry, circular functions, trigonometric identities, law of sines and law of cosines, and applications of these topics. A brief study of vectors also is included. Scientific calculators are required in this course; graphing calculators are highly encouraged. Prerequisite: Math ACT subscore of 23 or higher, OR Mathematics SAT score of 560 or higher OR a grade of C- or better in MATH-115. Fall/Spring

An emphasis on single variable differential calculus and an introduction to single variable integral calculus, with supporting material from analytic geometry. Graphing calculator strongly recommended; scientific calculator required. Prerequisite: MATH ACT subscore of 26 or higher or MATH SAT subscore of 610 or higher, or grade of C- or better in MATH-120. 5 contact hours: 4 lecture + 1 recitation/lab. Fall, Spring.

Topics include: Boolean algebra and logic; sets, functions, and relations; iteration, recursion, and induction; basic combinatorics; graphs and trees; divisibility and modular arithmetic; and other selected topics from discrete mathematics as applicable to computer science. Pre-requisite: Successful completion of Math 115 with a grade of C- or better, OR Mathematics ACT sub-score of 23 or higher, OR Mathematics SAT score of 560 or better. As needed.

A continuation of single variable calculus focusing on indefinite and definite integrals, including techniques and application of integration, along with selected topics from infinite series, parametric equations, and polar coordinates. Prerequisite: MATH 150 (or equivalent) with a grade of C- or better. 5 contact hours: 4 lecture + 1 recitation/lab. Fall, Spring.

The culmination of the calculus sequence. Topics include: parametric curves in the plane and space; polar coordinates; infinite series; vector algebra and geometry; and the calculus of functions of several variables, including partial differentiation and multiple integration. Prerequisite: MATH 250 (or equivalent) with a grade of C- or better. 5 contact hours: 4 lecture + 1 recitation/lab. Spring.

An introduction to linear algebra. Systems of equations, matrices and matrix algebra, determinants, linear independence, an introduction to eigenvalues and eigenvectors, and applications in linear programming and Markov Chains. Pre-requisite: Successful completion of MATH 150 with a grade of C- or better. As needed.

This introductory course in statistics covers all portions of the process of statistics. Topics in descriptive statistics and data collection are the focus of the first four chapters, including types of variables, level of measurement, measures of central tendency / dispersion, and linear regression / correlation. A study of counting and probability makes up the middle portion of the course. Various probability distributions, including binomial and normal distributions, are covered. The course ends with an introduction to inferential statistics, with a focus on parameter estimation and hypothesis testing. Graphing calculator required. Prerequisite: A grade of C- or better in MATH 110 or 115 (or equivalent), OR Math ACT sub-score of 23 or higher, OR Mathematics SAT score of 560 or higher. Fall/Spring.

Gateway course to theoretical mathematics courses. An introduction to methods of mathematical proof using primarily the topics of logic, set theory, functions and relations, number theory, and simple axiomatic systems such as the real numbers and matrices. Prerequisite: Successful completion of MATH 255 (or equivalent) with a grade of C- or better. Fall.

A course designed to give the student sufficient background in mathematical methods required for completion of the analytical, physical, and inorganic chemistry sequences. Course discussion will include review of transcendental functions, differential and integral calculus, numerical methods, linear algebra, differential equations and functions of several variables. (This course also may be taken as CHEM 310). Prerequisite: MATH 250 (or equivalent) with a grade of C- or better. Highly recommended: MATH 255. May not be taken to fulfill requirements for the Math major or minor. Spring as needed.

Topics include: elementary combinatorics; sequences, recursion, and iteration; and graph theory. Other topics from discrete mathematics may be included at the instructor's discretion. Prerequisite: Successful completion of MATH 255 with a grade of C- or better or permission of the instructor. As needed.

Ordinary Differential Equations with emphasis on the theory of linear differential equations. Some existence and uniqueness theorems proved, and special methods or types of equations with applications treated as time allows. Prerequisite: Successful completion of MATH 250 (or equivalent) with a grade of C- or better. Fall, as needed.

This is the Junior-level Sequential Enhancement of Writing Skills (SEWS) requirement for the undergraduate degree in mathematics. It is designed to give the student sufficient background in writing and information literacy to satisfy the university’s SEWS requirement at the junior level. Specifically, the project is an introduction to the conventions of reading, writing, and research within the mathematics discipline. Research-based writing using correct formatting and documentation is emphasized. Writing intensive. Requires a college-level research paper of significant length, which must involve use of scholarly literature. This is offered independent of any MATH prefixed course. Pre-requisite: Successful completion of Sophomore-level SEWS requirement through the Department of Language and Literature. Graded Pass/Fail. As needed.

A second course in linear algebra. Topics include Real vector spaces, subspaces, linear independence, coordinates and basis, dimension, change of basis, row space, column space, null space, rank, nullity, matrix transformations and properties, diagonalization, linear transformations, similarity, and matrix decomposition. Pre-requisite: Successful completion of MATH 300 and MATH 260 with a grade of C- or better. As needed.

A calculus-based approach to probability and statistics. Topics include: fundamentals of probability; discrete and continuous random variables; distributions such as binomial, uniform, Poisson, hypergeometric, normal, and gamma; joint, marginal, and conditional distributions; central limit theorem; and estimation. Hypothesis testing and statistical inference methods may be included as time permits. A student may not receive credit for both MATH 270 and MATH 370. Pre-requisite: MATH 250 (or equivalent) with a grade of C- or better. As needed.

Plane geometry from an advanced viewpoint, including finite geometries. Includes a survey of projective geometry and non-Euclidean geometries. Prerequisite: Successful completion of MATH 300 with a grade of C- or better. As needed.

A study of mathematics and those who contributed to its development, from the mathematics of ancient times, through the development of calculus, to topics from modern mathematics. Prerequisite: Successful completion of MATH 300 with a grade of C- or better. As needed.

A construction of the real number system from axioms for the natural numbers. The concept of isomorphic mappings plays a central role. The reals are introduced through Cauchy sequences or Dedekind cuts in the rationales, as the text may require, and either approach is used to develop various wordings of the completeness property. Special topics such as finite cardinal numbers, summation notation, decimal representation, or complex numbers are treated when time allows. Prerequisite: Successful completion of MATH 300 with a grade of C- or better. As needed.

Emphasis on the rigorous processes of analysis: proofs of limit theorems, properties of continuous functions, existence of integrals, and uniform convergence. Topics include completeness, Bolzano-Weierstrass theorem, sequences, and derivatives. Topics from among the theory of Riemann integration, infinite series, partial differentiation, and the implicit function theorem covered as time allows. Prerequisite: Successful completion of MATH 300 with a grade of C- or better. As needed.

Elements of modern algebra are addressed with a focus on rings, fields, and integral domains. Groups and other topics covered as time permits. Prerequisite: Successful completion of MATH 300 with a grade of C- or better. As needed.

This is the Senior-level Sequential Enhancement of Writing Skills (SEWS) requirement for the undergraduate degree in mathematics. It is designed to give the student sufficient background in writing and information literacy to satisfy the university’s SEWS requirement at the senior level.  Specifically, the project is an introduction to the conventions of reading, writing, and research within the mathematics discipline. Research-based writing using correct formatting and documentation is emphasized. Writing intensive.  Requires a college-level research paper of significant length, which must involve use of scholarly literature. This is offered independent of MATH 460 and any other MATH prefixed course. Pre-requisites: Successful completion of Sophomore-level SEWS requirement through the Department of Language and Literature and Junior-level SEWS. Graded Pass/Fail. As needed.

Presentation and discussion of the content of the secondary school mathematics classroom from an advanced viewpoint. This viewpoint addresses the many interconnections among secondary school mathematics topics as well as their relationship to college-level mathematics. Topics will be drawn from those of central importance in the secondary school mathematics curriculum: functions, polynomials, trigonometry, exponential and logarithmic functions, numbers and operations, and geometry and measurement. Relevant articles from mathematical publications also may be incorporated into the course. Prerequisites: Successful completion of MATH 300 with a grade of C- or better and acceptance into the School of Education's Initial Teacher Licensure program. Fall, as needed.