MATH-015 ARITHMETIC AND PRE-ALGEBRA 3 Credits

This course emphasizes the concepts of order of operations, variables, simplifying algebraic expressions, and arithmetic with whole numbers, signed numbers, fractions, and decimals. Concrete representations of arithmetic operations and algebraic concepts are emphasized. This course is particularly appropriate for mathematically unprepared students who experience anxiety when learning mathematics and prepares students for MATH-025.

MATH-023 BASIC ALGEBRA FOR MATH AS A LIBERAL ART 3 Credits

Brief review of integer arithmetic, fraction arithmetic, percent and order of operations. Evaluating formulas. Units and unit analysis. Solving equations in one variable and using equations in one variable to solve application problems. Graphing linear equations, intercepts, slope, writing the equation of a line. Introduction to functions. Average rate of change, introduction to linear and exponential models. Simplifying exponential expressions, scientific notation, introduction to logarithms. Introduction to sets, counting methods, and discrete probability. Pre-requisite: A grade of C or better in Math-015 or satisfactory placement score. Course fee.

MATH-025 BASIC ALGEBRA 3 Credits

This course emphasizes the concepts of solving equations and inequalities in one variable, writing and graphing linear equations (including the concepts of slope and intercepts), exponent rules, factoring, and addition, subtraction, and multiplication of polynomials in one variable. Students engage in applications of many of these concepts including average rate of change and linear modeling. This course also includes introduction to the concepts of scientific notation, unit analysis, function, and systems of linear equations. Concrete representations, problem solving, reasoning, and critical thinking are emphasized. Pre-requisite: MATH-015 with a grade of 'C' or better, or satisfactory placement score.

MATH-040 ACCELERATED ARITHMETIC AND BASIC ALGEBRA 4 Credits

This course emphasizes the concepts of arithmetic, order of operations, variables, algebraic expressions, equations and inequalities in one variable, writing and graphing linear equations (including the concepts of slope and intercepts), exponent rules, factoring, and addition, subtraction, and multiplication of polynomials in one variable. Students engage in applications of many of these concepts including average rate of change and linear modeling. This course also includes introduction to the concepts of scientific notation, unit analysis, function, and systems of linear equations. Concrete representations, problem solving, reasoning, and critical thinking are emphasized. Due to the breadth of content in this course, hard work and dedication are required. This course prepares students for MATH-140.

MATH-123 MATH IN MODERN SOCIETY 3 Credits

This course introduces students to the form and function of mathematics as it applies to liberal arts studies with a heavy emphasis on its applications. Topics covered include descriptive statistics, inferential statistics, beginning probability, creating graphs, the concept of function, properties of linear equations, graphing linear equations, constructing and using linear models, exponential and logarithmic equations and models, and financial applications. Pre-requisite: MATH-025 or MATH-040 with a grade or 'C' or better, or satisfactory placement score, or placement into MATH-123P to be taken concurrently with MATH-123.

MATH-123P MATH IN MODERN SOCIETY--SUPPLEMENT 2 Credits

This course provides just-in-time preparation of the mathematical skills necessary to be successful in MATH-123 with an emphasis on problem-solving and college-readiness skills. Topics may include order of operations, fraction and decimal arithmetic, percent, scientific notation, interval notation, linear equations, calculator use, and mathematical modeling. Pre-requisite: MATH-015 with a grade of 'C' or better, or satisfactory placement score. Co-requisite: MATH-123.

MATH-130 FINITE MATHEMATICS 3 Credits

This course fulfills the skills component of the General Education core and is designed to provide students with a solid foundation in algebra and statistics which are currently pervasive in both business and society. This course is intended to demonstrate the application of algebra and statistics in various areas of business, industry, economics, and life and social sciences. Major topics include systems of linear equations and inequalities, elementary matrix algebra, introduction to linear programming, elementary discrete probability and statistics. Emphasis on applications to business, economics and social sciences. Pre-requisite: A grade of 'C' or better in MATH-025 or GNBPT-103 or satisfactory placement score.

MATH-137 ALGEBRA, TRIG AND STAT WITH APPLICATION 4 Credits

This course fulfills the skills component of the General Education Core. Cartesian coordinate system, representations of lines, functions of one or more independent variables, polynomial, radical, exponential, and logarithmic equations, radian and degree measure, right-angle trigonometry, law of sines and cosines, vectors in applied settings, probability theory, and statistics. The course will emphasize technical applications. Pre-requisite: A grade of 'C' or better in MATH-025, GNBPT-103, or satisfactory placement score.

MATH-140 ALGEBRAIC REASONING AND PROBLEM-SOLVING 3 Credits

This course builds on fundamental basic algebra concepts. This course emphasizes the concepts of function, domain, range, and zeros. This course also includes the study of linear, quadratic, logarithmic, exponential, radical, and rational expressions, equations, and functions. Students will learn to use critical thinking and problem-solving skills as they engage with applications of these concepts. Pre-requisite: MATH-025 or MATH-040 with a grade of 'C' or better, or satisfactory placement score.

MATH-140T Level D Math Placement Credits

MATH-143 PRECALCULUS I: ALGEBRA 3 Credits

This course emphasizes the concept of real-valued functions and their applications, including domain, range, algebraic operations, composition, inverses, and graphing. Topics include polynomial functions, division of polynomials, roots of polynomials, theory of equations, complex numbers, the Fundamental Theorem of Algebra, rational functions and asymptotes, logarithmic and exponential functions, transformations, solving systems of linear and nonlinear equations, and matrices. Students will engage in multi-step algebraic manipulation of complicated functional expressions. Pre-requisite: MATH-140 or MATH-137 with a grade of 'C' or better, or satisfactory placement score.

MATH-144 PRECALCULUS II: TRIGONOMETRY 2 Credits

This course introduces right-triangle and circular function approaches to trigonometry. Topics include plane trigonometry, trigonometric identities, graphs of trigonometric functions, amplitude, frequency, phase shift, inverse trigonometric functions and their graphs, polar coordinates, and polar representation of complex numbers. Pre-requisite: MATH-143 with a grade of 'C' or better, or satisfactory placement score.

MATH-147 PRECALCULUS 5 Credits

The course emphasizes functions, circular trigonometry, and multilevel problem solving as preparation for calculus. Functions are treated as mathematical entities, including domain, range, algebraic operations, composition, inverses, and graphing. Polynomial, logarithmic, exponential, trigonometric, inverse trigonometric, radical, and rational functions are explored. Algebraic techniques include division of polynomials, roots of polynomials, theory of equations and inequalities, complex numbers and DeMoivre's Theorem, the Fundamental Theorem of Algebra, solving systems of linear and nonlinear equations, and matrices. Trigonometric identities are derived, proven, and applied. Polar coordinates, vectors, and oblique triangles are introduced and used in a variety of applications. Analytic geometry focuses on circles, parabolas, distance, and midpoints. MATH-147 is equivalent to MATH-143 plus MATH-144. Pre-requisite: MATH-140 or MATH-137 with a grade of 'C' or better, or satisfactory placement score.

MATH-153 STATISTICAL REASONING 3 Credits

This course introduces students to problem solving and decision making using single and multivariable statistical models. The course focuses on conceptual understanding of randomness, variability, statistical models, and inference through exploration of data. The use of technology for analysis of data is integrated throughout. Topics include descriptive statistics, probability, hypothesis testing, confidence intervals, likelihood ratios, correlation, and regression. Pre-requisite: MATH-025 or MATH-040 with a grade of 'C' or better, or satisfactory placement score, or placement into MATH-153P to be taken concurrently with MATH-153.

MATH-153P SUPPLEMENTAL INSTRUCTION FOR MATH 153 1 Credit

This course provides just-in-time preparation of the mathematical skills necessary to be successful in MATH-153 with an emphasis on problem-solving and college-readiness skills. Topics may include order of operations, fraction and decimal arithmetic, percent, scientific notation, interval notation, linear equations, calculator use, and use of statistical software. Pre-requisite: MATH-015 with a grade of 'C' or better, or satisfactory placement score. Co-requisite: MATH-153.

MATH-157 MATHEMATICS FOR ELEMENTARY TEACHERS I 4 Credits

This course provides an overview of some of the mathematics taught in grades K-8 with an emphasis on conceptual understanding and communication of mathematical principles. This is the first course in a two-course sequence of mathematics content courses which is not intended to be a methods of teaching course. Topics may include numbers and the base-ten system, fractions and problem-solving, ratio and proportional relationships, number theory, and addition, subtraction, multiplication, and division of real numbers. Pre-requisite: MATH-140 or MATH-137 with a grade of 'C' or better, or satisfactory placement score, or placement into MATH-157P to be taken concurrently with MATH-157.

MATH-157P SUPPLEMENTAL INSTRUCTION FOR MATH 157 1 Credit

This course provides just-in-time preparation of the mathematical skills necessary to be successful in MATH-157 and MATH-257 with an emphasis on problem-solving and college-readiness skills. Topics may include accuracy vs precision, order of operations, number theory, fraction and decimal arithmetic, percent, properties of real numbers, conversions and unit analysis, geometry and measurement, factoring, mental math, exponents and scientific notation, lines and graphing, probability, and statistics. Prerequisite: MATH-025 with a grade of 'C' or better, or satisfactory placement score. Co-requisite: MATH-157.

MATH-160 BRIEF CALCULUS 4 Credits

This course is a survey of the essentials of calculus, intended mainly for students in biology, social sciences, business, and liberal arts. Topics include an introduction to basic concepts and computational techniques for functions, derivatives, and integrals, with emphasis on polynomial, rational, exponential, and logarithmic functions. This course also includes a very brief introduction to calculus of functions of several variables. Pre-requisite: MATH-147 with a grade of 'C' or better, or MATH-143 with a grade of 'C' or better and MATH-144 with a grade of 'C' or better, or satisfactory placement score.

MATH-170 CALCULUS I 4 Credits

This course focuses on definitions of limit, derivative, antiderivative, and definite integral. Topics will include computation of the derivative, including logarithmic, exponential, and trigonometric functions. Applications of the derivative, optimization, the Mean Value Theorem, and the Fundamental Theorem of Calculus are also included in this course along with a brief introduction to applications of the integral and to computation of antiderivatives. This course is intended for students in mathematics, computer science, engineering, and the sciences. Pre-requisites: MATH-147 with a grade of 'C' or better or MATH-143 with a grade of 'C' or better and MATH-144 with a grade of 'C' or better, or satisfactory placement score.

MATH-175 CALCULUS II 4 Credits

This course focuses on applications of the integral, symbolic and numerical techniques of integration, and inverse transcendental functions. This course also includes sequences and series, with an emphasis on power series and approximation. Pre-requisite: MATH-170 with a grade of 'C' or better.

MATH-186 DISCRETE MATHEMATICS 3 Credits

This course consists of numerous topics which are particularly valuable to students pursuing a computer science degree. Topics may include sets, functions, algorithms, logic, and Boolean algebra. Pre-requisite: MATH-143 or MATH-147 with a grade of 'C' or better, or satisfactory placement score.

MATH-190 DIRECTED STUDY IN MATH 1-12 Credits

MATH-192 SPECIAL TOPICS IN MATHEMATICS 1-12 Credits

MATH-195 PRACTICUM IN MATHEMATICS 1-2 Credits

Tutoring in the mathematics laboratory or functioning as a teacher's aide in a lower division mathematics course. Pre-requisite: Approval of the division chair. May be repeated for a total of 4 credits.

MATH-253 STATISTICAL METHODS FOR THE SCIENCES 3 Credits

Introduction to statistical methods for scientists. Includes design of statistical studies, basic sampling methods, descriptive statistics, probability and sampling distributions, inference regression, and analysis of variance. Also includes an introduction to software packages used in Statistics. Pre-requisite: A grade of 'C' or better in MATH-143 or MATH-147 or satisfactory placement score.

MATH-254 STATISTICAL METHODS 4 Credits

This course emphasizes a precalculus treatment of descriptive statistics, sampling methods, inference, confidence intervals, hypothesis testing, simple linear regression, correlation, and introduction to probability. Students will learn to reason, problem-solve, communicate their ideas, and apply those statistical methods to a wide variety of disciplines. Students will learn to conduct analyses using statistical software commonly used in industry. Pre-requisite: MATH-143 or MATH-147 with a grade of 'C' or better, or satisfactory placement score.

MATH-257 MATHEMATICS FOR ELEMENTARY TEACHERS II 4 Credits

This course is a continuation of MATH-157 and continues an overview of some of the mathematics taught in grades K-8 with an emphasis on conceptual understanding and communication of mathematical principles. This is the second course in a two-course sequence of mathematics content courses which is not intended to be a methods of instruction course. Topics may include algebra, geometry, measurement, area of shapes, circumference, the number pi, construction proofs of the Pythagorean theorem, solid shapes and their volumes and surface areas, geometry of motion and change, statistics, and probability. Pre-requisite: MATH-157 with a grade of 'C' or better.

MATH-267 MATHEMATICS FOR MIDDLE SCHOOL TEACHERS 4 Credits

This course is designed to prepare middle school mathematics teachers. The course provides an overview of some of the mathematics taught in grades 6-10 with an emphasis on conceptual understanding and communication of mathematical principles through reasoning and problem-solving. Topics will include transformational geometry, counting and probability, and statistics. Additional topics may include set theory, graph theory, number theory, coding, intuitive calculus, introduction to linear algebra, basic topology, and discrete mathematics. Pre-requisite: MATH-143 or MATH-147 with a grade of 'C' or better.

MATH-275 CALCULUS III 4 Credits

This course emphasizes vector algebra and geometry, functions of several variables, partial and directional derivatives, gradient, chain rule, optimization, and multiple and iterated integrals. Topics also include parametric curves and surfaces in 3-space, vector fields, divergence and curl, and line and surface integrals. Additional topics may include Green's Theorem, Stokes' Theorem, and divergence theorems. Pre-requisite: MATH-175 with a grade of 'C' or better.

MATH-285 EUCLIDEAN GEOMETRY 3 Credits

This course is designed to prepare teachers of middle and high school geometry. The course emphasizes classic geometric proof and application of geometric theorems. Topics include parallel lines, triangles, quadrilaterals, circles, and polygons. Pre-requisite: MATH-143 or MATH-157 or MATH-186 with a grade of 'C' or better, or satisfactory placement score.

MATH-290 DIRECTED STUDY IN MATHEMATICS 1-3 Credits

Pre-requisite: MATH-170 with a grade of 'C' or better, or permission of the division.

MATH-291 WORKSHOP IN MATHEMATICS 1-3 Credits

MATH-292 SPECIAL TOPICS IN MATHEMATICS 1-3 Credits

MATH-295 PRACTICUM IN MATHEMATICS 1-2 Credits

Tutoring in the mathematics laboratory or functioning as a teacher's aide in a lower division mathematics course. Pre-requisite: Approval of the division chair. May be repeated for a total of 4 credits.

MATH-299 RESEARCH ASSISTANTSHIP 1-12 Credits

MATH-300 INTRODUCTION TO MATHEMATICAL REASONING 3 Credits

This course focuses on introductory topics in mathematics including logic, set theory, properties of the real line, number theory, induction, mappings, rigorous treatment of limits of sequences. This course emphasizes the concepts of theorem and proof. Pre-requisite: MATH-175 with a grade of 'C' or better.

MATH-313 NUMBER THEORY 3 Credits

This course focuses on modular arithmetic, Pythagorean triples, prime numbers, quadratic reciprocity, Diophantine approximation, elliptic curves, and public key encryption systems. Pre-requisite: MATH-175 with a grade of 'C' or better.

MATH-320 PROBABILITY AND STATISTICS 3 Credits

This course emphasizes probability theory, sample spaces, random variables, distributions, conditional probability, central limit theorems, stochastic processes, estimation, and testing of hypotheses. Pre-requisites: MATH-175 with a grade of 'C' or better and MATH-254 with a grade of 'C' or better.

MATH-340 LINEAR ALGEBRA 3 Credits

This course emphasizes systems of linear equations, vector spaces, linear independence, basis, dimension, inner products, transformation, injectivity and surjectivity, orthogonal projections, orthonormal bases, eigenvalues, eigenvectors, and positive definite matrices. Pre-requisite: MATH-175 or CS-211 with a grade of 'C' or better.

MATH-345 ORDINARY DIFFERENTIAL EQUATIONS 3 Credits

This course emphasizes separation of variables, variations of parameters, methods of characteristic roots, undetermined coefficients, systems of differential equations, Laplace transform, and power series. Pre-requisite: MATH-175 with a grade of 'C' or better.

MATH-367 MATHEMATICS FOR MIDDLE/SECONDARY SCHOOL TEACHERS 4 Credits

This course is designed to prepare teachers of middle and secondary school mathematics. The course provides an overview of some of the mathematics taught in grades 6-12 with an emphasis on conceptual understanding and communication of mathematical principles through reasoning and problem-solving. Topics will include transformational geometry, counting and probability, and statistics. Additional topics may include set theory, graph theory, number theory, coding, intuitive calculus, introduction to linear algebra, basic topology, and discrete mathematics. Pre-requisite: MATH-143 or MATH-147 with a grade of 'C' or better.

MATH-386 MODERN GEOMETRY 3 Credits

This course focuses on postulates of Euclid and Hilbert, transformational geometry, and topics from projective and affine geometry. Understanding of the foundations of high school geometry is emphasized. Pre-requisite: MATH-170 with a grade of 'C' or better.

MATH-390 DIRECTED STUDY IN MATHEMATICS 1-3 Credits

MATH-391 WORKSHOP IN MATHEMATICS 1-3 Credits

MATH-392 SPECIAL TOPICS IN MATHEMATICS 1-12 Credits

MATH-395 PRACTICUM IN MATHEMATICS 1-2 Credits

MATH-399 RESEARCH ASSISTANTSHIP 1-12 Credits

MATH-450 COMPLEX ANALYSIS 3 Credits

This course emphasizes complex numbers and functions, complex derivatives and integrals, residue theory, conformal mappings, and uniform convergence. Pre-requisite: MATH-300 with a grade of 'C' or better.

MATH-460 ABSTRACT ALGEBRA I 3 Credits

This is the first course in a two-course sequence that provides an introduction to abstract algebra. Topics include groups, subgroups, permutation groups, isomorphisms, homomorphisms, quotient groups, and the Fundamental Theorem of Finite Abelian Groups. Pre-requisite: MATH-300 with a grade of 'C' or better.

MATH-461 ABSTRACT ALGEBRA II 3 Credits

This is the second course in a two-course sequence that provides an introduction to abstract algebra. Topics include rings, subrings, ideals, quotient rings, polynomial rings, vector spaces, fields, extension fields, and Galois theory. Pre-requisite: MATH-460 with a grade of 'C' or better.

MATH-470 GENERAL TOPOLOGY 3 Credits

This course provides an introduction to the fundamental concepts of general topology including set theory, metrics, neighborhoods, bases, subspaces, mappings, continuity, separation axioms, compactness, and connectedness. Pre-requisite: MATH-300 with a grade of 'C' or better.

MATH-480 REAL ANALYSIS I 3 Credits

This course is the first course in a two-course sequence that provides a theory of the real line, properties of real numbers, and real-valued functions. Topics include convergence of sequences, open and closed sets, density of sets, Cauchy sequences, the Monotone Convergence Theorem, pointwise and uniform convergence of functions; continuity, the Mean Value Theorem, the Intermediate Value Theorem, compactness, and differentiability. Pre-requisite: MATH-300 with a grade of 'C' or better.

MATH-481 REAL ANALYSIS II 3 Credits

This course is the second course in a two-course sequence on the theory of real-valued functions. Topics include sequences and series of functions, Weierstrass M-test, power series, Taylor series, Riemann integrability, metric spaces, convergence in metric spaces, and differentiability of functions with higher dimensional domains. Pre-requisite: MATH-480 with a grade of 'C' or better.

MATH-490 DIRECTED STUDY IN MATHEMATICS 1-3 Credits

Pre-requisite: A grade of 'C' or better in MATH-170 or permission of the division.

MATH-491 WORKSHOP IN MATHEMATICS 1-3 Credits

MATH-492 SPECIAL TOPICS IN MATHEMATICS 1-3 Credits

MATH-494 INTERNSHIP IN MATHEMATICS 1-12 Credits

Internship in Math.

MATH-495 PRACTICUM IN MATHEMATICS 1-2 Credits

Tutoring in the mathematics laboratory or functioning as a teacher's aide in a lower division mathematics course. Pre-requisite: Approval of the division chair. May be repeated for a total of 4 credits.

MATH-499 RESEARCH PROJECT AND SEMINAR IN MATH 1-3 Credits

Students will conduct and communicate the results of a research project in the Teacher Education and Mathematics Division. Topics may include the historical, philosophical, cultural, and environmental aspects, and the processes of mathematics. Requirements of students include satisfactory oral presentation and defense of their research and submission of a written report approved by their advisor to the Teacher Education and Mathematics Division. Prerequisite: NS-398.