LAM - Mathematics/Quantitative Reasoning

This developmental mathematics course focuses on basic mathematical principles and arithmetic operations. Topics covered include estimation, operations with fractions and decimals, percent, ratio, proportion, exponents, and an introduction to geometry and algebra. There is a major emphasis on translating word phrases and developing problem solving techniques. The use of appropriate technology is integrated throughout the course. This course earns non-mathematics elective credit toward a degree (subject to maximum quarter hour limit), but does not apply towards requirements in general studies or a math major, minor, or concentration. This course is taken on a Pass/No Credit basis. Prerequisite(s): Placement. 5 quarter hours

This developmental course in algebra skills includes rational number arithmetic, integer exponents, solutions of first degree equations and inequalities in one and two variables, polynomial operations, factoring, literal equations, radical expressions, and solutions of second degree equations. Problem solving techniques and appropriate technology are integrated throughout. The course is intended for students who lack credit in high school algebra or who need a review of algebra. The course earns non-mathematics elective credit (subject to maximum quarter hour limit), and does not apply towards requirements in general education or a math major, minor, or concentration. This course is taken on a Pass/No Credit basis. Prerequisite(s): Placement or LAM 100A. 5 quarter hours

This course provides a rich immersion experience in thinking mathematically which builds on a student's previous high school mathematics. Students will be active learners who observe, ask questions, investigate, discover, formulate and test conjectures in solving problems, and communicate ideas and conclusions orally and in writing. Problems will build on topics from among algebra, geometry, probability, graphing, and statistics to develop flexible mathematical thinking. Intended for students who wish to become education majors, students will learn what it means to think mathematically in order to deepen their own understanding of mathematics and to help their future students think mathematically. This course cannot be used to satisfy mathematics course requirements or mathematics course electives for majors, minors or concentrations in mathematics. Counts in the Other area of General Education requirements. Pre-requisite(s): Passed LAM 100B or Math Placement into LAM 110. 5 quarter hours.

This course provides an introduction to statistical methods, with an emphasis on analytical reasoning, solving of real-life problems, use of spreadsheet applications and online tools, and effective communication of data and findings to varied audiences. Students study descriptive statistics, such as frequency distributions, graphing, and measures of central tendency and variation; probability distributions, including normal distributions, binomial distributions, and Poisson distributions; sampling and inferential statistics; correlation, causality, and regression; and hypothesis testing. Pre-requisite(s): Placement; or LAM 100B or equivalent. Co-requisite(s): None. 5 quarter hours

This course introduces statistical ideas needed by educated people in the twenty-first century. Students are presented with the basic language, symbols, and computational tools of data analysis to explore real-world problems. Use of statistical reasoning to gain insight and draw conclusions from observations is covered. Topics include: experimental design, displaying data, measures of center and spread, normal distributions, percentiles, simple linear regression and correlation, probability laws, and confidence intervals. Counts in the Quantitative Reasoning Area of General Requirements. This course cannot be used to satisfy requirements or electives in majors, minors, or concentrations in mathematics. Prerequisite(s): Placement or LAM 100B Basic Algebra. Students cannot receive credit for both LAM 109 Statistical Literacy and LAM 106 Basic Statistics or both LAM 109 Statistical Literacy and LAM 216 Statistical Methods. 5 quarter hours

This course provides the basic preparation for more specialized courses in mathematics as determined by the student's major. Topics include graphical, symbolic, and numeric solutions of problems, number systems, integer and rational exponents, radicals, functions, first and second degree equations and inequalities, systems of equations and inequalities, measurement, and geometry. Although emphasis is placed on the development of algebraic skills, problem solving is a main component of the course. A graphing calculator is required. The course does not apply toward a math concentration or major and is not IAI transferable as a general education requirement. Counts towards the Quantitative Reasoning Area of General Education Requirements. Prerequisite(s): LAM 100B. 5 quarter hours Counts in the Quantitative Reasoning Area of General Education Requirements.

This course focuses on mathematical reasoning and problem solving. It examines the underlying conceptual framework of the elementary mathematics topics of sets, numeration and number systems, whole number operations, number theory, and operations and algorithms using rational numbers expressed as fractions and decimals. Estimation, models, graphs, and manipulatives are used in a variety of problem-solving situations. The two-course sequence of LAM112 and LAM213 is required for students in Elementary Teacher Education. A weekly lab component is required. Counts in the Quantitative Reasoning Area of General Education. This course cannot be used to satisfy mathematics course requirements or mathematics electives for majors, minors, or concentrations in mathematics. Pre-requisite(s): LAM 110 or LAM 101 or placement 5 quarter hours Counts in the Quantitative Reasoning Area of General Education Requirements.

This course focuses on mathematical reasoning and problem solving. It examines the underlying conceptual framework of the elementary mathematics topics of algebra and informal geometry, metric measurement, rational and real number operations, percent probability, and statistics. Estimation, models, graphs, and manipulatives are used in a variety of problem-solving situations. The two-course sequence of LAM112 and LAM213 is required for students in Elementary Teacher Education. A weekly lab component is required. This course cannot be used to satisfy mathematics course requirements or mathematics course electives for majors, minors or concentrations in mathematics. Pre-requisite(s): LAM 110 (or LAM 101) and LAM 112 5 quarter hours. Counts in the Quantitative Reasoning Area of General Education Requirements.

This course covers applied mathematical ideas for students in business, management, economics, social and life sciences with applications drawn from these fields. It includes topics such as linear equations and inequalities, determinants, matrices and matrix algebra, linear programming, simplex method, applications of matrices, combinatorics and probability theory, stochastic processes, game theory, Markov chains, and the mathematics of finance. This course applies toward the mathematics concentration. This course counts in the Quantitative Reasoning Area of General Education Requirements. Prerequisite(s): LAM 220 (College Algebra) or placement or departmental approval or an ACT Math score of 26 or higher. 5 quarter hours

Examination of the application of statistical description and inference in business, psychology, and science. Topics include: frequency distributions, graphing techniques, measures of central tendency and dispersion, normal distribution, correlations, regression, probability and sampling methods, hypothesis testing and decision making, t-tests and analysis of variance. This course does not apply toward the math concentration for education majors. Prerequisite(s): LAM 110 or placement. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours

The fundamental concepts of college algebra including absolute value, factoring and roots, operations with rational exponents, and graphing are examined. Topics developed include systems of equations and inequalities, matrices and determinants, the theory of polynomials, trigonometric functions, and exponential and logarithmic functions. This course applies toward the math concentration. Prerequisite(s): LAM 110. 5 quarter hours Counts in the Quantitative Reasoning Area of General Education Requirements.

This course provides the students with nonroutine problem-solving experiences in a variety of situations for the purpose of improving problem-solving skills. Specifically, the course emphasizes three aspects of problem solving: problem-solving strategies, problem solving in subject areas, and problem creation. It is intended primarily as a content course for prospective elementary or middle school teachers. This course applies toward the mathematics concentration. Prerequisite(s): LAM 110, LAM 112, and LAM 213 required, LAM 220 recommended. 5 quarter hours

This course emphasizes the principles of programming digital computers in a higher-level language as applied to significant algorithms from mathematics. The course provides an introduction to computer programming design focusing on algorithm generation using pseudo code and flow charting, debugging, and elements of good programming style. It introduces data types, control structures, procedures and functions, recursion, arrays, files, structured program design and testing. The course has both a mathematical and a laboratory component. Students will write programs to solve problems from areas of number theory, algebra, geometry, probability, statistics, and calculus. This course applies toward the mathematics concentration. The course does NOT count in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM 220 - College Algebra or equivalent is required. One additional course from LAM307, LAM 308, LAM 309, or LAM 312 is recommended. 5 quarter hours

This course is a continuation of Computer Programming I (LAM303). It emphasizes data structures such as files, set pointers, lists, stacks, queues, trees, and graphs, and explores text processing, recursion, searching, and sorting. The course investigates the design and implementation of large scale problems. This course applies toward the mathematics concentration. Prerequisite(s): LAM 303 or equivalent. 5 quarter hours

This course investigates geometry and measurement and relates these to nature, art, and mathematical thought. Use of concrete materials and problem-solving techniques are included. Inductive approach provides students with another point of view as well as additional knowledge and skills. This course applies toward the mathematics concentration. This fulfills a general education requirement in quantitative reasoning. Prerequisite(s): LAM 213. 5 quarter hours. Counts in the Quantitative Reasoning Area of General Education Requirements.

This course provides a series of learning experiences drawn from real life problems that develop probability and statistical concepts and processes. These include organizing, presenting, and interpreting data; using probability models and statistical procedures; and developing probability and statistical models. This course applies toward the mathematics concentration. Counts in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM 213 and LAM 220 or consent of the department. 5 quarter hours

This course involves students in discovering, developing, and evolving ideas of elementary number theory. Topics include mathematical induction, divisibility, primes, congruences, and conditional congruences. This course applies toward the mathematics concentration. Prerequisite(s): LAM 220. 5 quarter hours.

This course acquaints students with the topics necessary in the study of calculus, including real numbers, functions, graphs, lines, conic sections, parametric equations, polar coordinates, and analytic geometry of three dimensions. Trigonometric functions, as well as applications in the solution of problems are also studied. This course applies toward the mathematics concentration. Prerequisite: LAM 220 or equivalent. 5 quarter hours. Counts in the Quantitative Reasoning Area of General Education Requirements.

This course examines the introductory topics of differential calculus. Topics include limits, continuity, interpretations of the derivative, and techniques of differentiation. The derivative is applied to the solution of problems of related rates, curve sketching, and optimization. Transcendental functions and their derivatives are included. This course applies toward the math major, minor, and concentration. Prerequisite(s): LAM 310 Precalculus or equivalent or departmental approval. 5 quarter hours

This course examines the introductory topics of integral calculus. Topics include sequences, Riemann sums, and applications of the integral to finding the volume of solids of revolution, surface area, arc length, centroids, fluid pressure, and work. Techniques of integration are applied to transcendental functions, hyperbolic functions, and indeterminate forms. This course applies toward the math major, minor, and concentration. Prerequisite(s): LAM 311 Calculus I or equivalent or departmental approval. 5 quarter hours.

This course provides a survey of the historical development of mathematics from early times to the present with a focus on problem-solving. Mathematical problems representative of significant contributions in numeration, algebra, geometry, combinatorics, and number theory are emphasized. Biographies of mathematicians focus on the type of problems solved and the methods of solutions employed with an examination of the historical context. This course applies toward the math major, minor, and concentration. Prerequisites: LAM 112, LAM 213, and a 200-level math course or equivalent or departmental consent. 5 quarter hours

This course provides an introduction to the topics and techniques of discrete methods, combinatorial reasoning, and finite algebraic structures. Set theory, logic, and functions provide the unifying themes as finite systems are studied. Topics include sets, counting, recursion, graph theory, trees, nets, Boolean Algebra, automata, and formal grammars and languages. The nature and importance of the algorithmic approach to problem solving is stressed. This course applies toward the mathematics concentration. Prerequisite: At least one 200-level mathematics course or consent of department. 5 quarter hours

This course deals with the problem of minimizing or maximizing a linear function in the presence of linear inequalities. Linear programming is used by decision makers to solve multi-variable, multi-goal problems commonly found in accounting, finance, management, marketing, industry, government, military, and urban planning. Topics include the study of linear inequalities, linear programming problems, and solving problems by the simplex method. This course applies toward the mathematics concentration. Prerequisite(s): LAM 214 or LAM 220 or consent of department. 5 quarter hours

This course presents the most basic laws of matrix algebra. Methods for obtaining a complete solution of any given system of linear equations, homogeneous or nonhomogeneous, are introduced. This method allows extensive use of concrete examples and exercises to facilitate the learning of abstract concepts. Prerequisite(s): LAM 220 or consent of department. 5 quarter hours

This course develops the theories of probability and statistics from a theoretical standpoint. Topics include: mutually exclusive events, independent and dependent events, conditional probability, combinatorics, discrete and continuous random variables, sampling methods, confidence intervals, hypothesis testing, and analysis of variance. This course applies toward the mathematics concentration. Counts in the Quantitative Reasoning Area of General Education requirements. Prerequisite(s): LAM 308 recommended and LAM 311 required. 5 quarter hours

This course provides an advanced study of Euclidean geometry with an emphasis on formal proofs. Major concepts of Euclidean geometry and selected non-Euclidean geometries are examined. Theorems of the reals, incidence, congruence, distance, and triangles are proved using a variety of methods. Various interpretations of geometry through number and transformations of the plane are explored. This course applies toward the math major, minor, and concentration. Prerequisites: LAM 307 recommended and LAM 311 required or departmental consent. 5 quarter hours

This course is designed to introduce some of the basic concepts and techniques of linear algebra. The emphasis is on intuitive development and application of computational tools. Matrices and systems of equations are used as vehicles for the introduction, application, and interpretation of vector spaces, subspaces, independence, and dimension. Prerequisite(s): LAM 312 or consent of department. 5 quarter hours

This course provides a study of the historical development of algebraic and geometric principles from the earliest civilizations. The mathematical emphasis will be on important theorems and emerging conceptual developments in algebra and geometry. A problem- solving approach will be used to focus on the mathematics of each historical development. Students will research the biographies and mathematical contributions of significant mathematicians in the development of algebra and geometry, analyze the contributions within historical, cultural, scientific and political contexts, and trace the solution of mathematical problems historically. Prerequisite(s): One upper level math course, one math for teachers course, or departmental consent. 5 quarter hours or 3 semester hours

This course provides a study of the historical development of elementary counting techniques, permutations, combinations, probability and statistics from the earliest evidence to the present. The mathematical emphasis will be on important theorems and emerging conceptual developments in probability and statistics. A problem-solving approach will be used to focus on the mathematics supporting each historic development. Students will research the biographies and mathematical contributions of significant mathematicians. Students will analyze mathematical developments within historical, cultural, and political contexts and trace the solution of mathematical problems historically. Prerequisite(s): One upper level math course, one math for teachers course, or departmental consent. 5 quarter hours or 3 semester hours

Students conduct in-depth examinations of a topic in mathematics culminating in an interpretive report. Prerequisites: LAM 220, consent of instructor. 2-5 quarter hours for Undergraduate Students

Provides an applied experience within the university to work with a practicing professional integrating academic knowledge and research skills. Engages the student in computer programming, statistical analysis and/or other quantitative activities. May be taken several times for a maximum total 10 hours credit. Admission to the applied project course requires departmental permission. Counts in the Quantitative Reasoning Area of General Education Requirements. 5 quarter hours

A particular aspect of mathematics is selected to be studied in depth. Since the topic varies each term, the course may be taken more than once. Prerequisites: Varies with the topic, at least LAM110, consent of instructor. 2-5 quarter hours