20-804-210 INTRODUCTION TO COMPUTERS AND THEIR USE (MATH)
Introduces hardware, software, and information processing methodologies as problem-solving tools in liberal arts, sciences, and education. Addresses the history and social impact of computers. Students will use productivity tools such as word processing, spreadsheet, and database software. Lecture/lab. 3 credits.
20-804-220 INTERMEDIATE ALGEBRA (MATH)
Studies the construction and resulting properties of the real number system. Students simplify and factor algebraic expressions using fundamental laws and order of operations; solve first and second degree equations and inequalities in one variable, systems of equations, and exponential and logarithmic equations; graph first degree and second degree equations and inequalities in two variables; and solve equations involving rational expressions, fractional exponents and radicals. Prerequisite: One year of high school algebra or 31-804-310. Lecture. 4 credits.
20-804-224 ALGEBRA FOR CALCULUS (MATH)
Covers properties of the real number system, algebraic expressions, equations and inequalities, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, analytic geometry, matrices, determinants and systems of linear equations, sequences, series, and probability. Prerequisite: 20-804-220 or equivalent. Lecture. 4 credits.
20-804-227 ELEMENTARY MATH EDUCATION I (MATH)
Covers mathematics content necessary for prospective early childhood and elementary teachers. Topics include foundational and historical concepts from arithmetic, algebra, proportions. Prerequisite 20-804-220 or two years of high school algebra. 4 credits.
20-804-228 PLANE TRIGONOMETRY (MATH)
Covers trigonometric functions and their inverse functions, graphing trigonometric functions, trigonometric identities, solving triangles, solving equations and inequalities, complex numbers in trigonometric form, and polar curves. Prerequisite: 20-804-220 or equivalent. Lecture. 3 credits.
20-804-230 STATISTICS (MATH)
Studies appropriate statistical techniques for the systematic collection, presentation, analysis and interpretation of data using experimental and quasi-experimental methods found in research. Studies statistical inference including techniques, confidence intervals, Types I and II errors, hypothesis testing, and results interpretation. Also includes descriptive statistics, basic probability-theory, the Central Limit Theorem; the binomial, normal, Student t, chi-squared, and F distributions; and techniques of 1 and 2 sample tests, linear regression, correlation, sample sizes, and introduction to analysis of variance and selected nonparametric procedures. May require use of a graphing calculator or computer software. Prerequisite: 20-804-220 with "C" or better. Lecture. 3 credits.
20-804-236 CALCULUS AND ANALYTIC GEOMETRY I (MATH)
Covers limits and continuity of functions, the derivative and its applications, the definite integral and its applications, and logarithmic and exponential functions. Prerequisites: 20-804-224 and 20-804-228 or equivalent or 20-802-224 and consent of instructor. Lecture. 5 credits.
20-804-237 ELEMENTARY MATH EDUCATION II (MATH)
Includes concepts of proportionality, statistics and probability, plane geometry, the geometry of solids, and measurement. Prerequisite: 20-804-220 or two years of high school algebra. 4 credits.
20-804-240 CALCULUS AND ANALYTIC GEOMETRY II (MATH)
Covers transcendental functions, methods of integration, indeterminate forms, improper integrals, Taylor's formula, infinite series, topics from analytic geometry, plane curves and polar coordinates, vectors, and surfaces. Prerequisite: 20-804-236 or equivalent. Lecture. 5 credits.
20-804-241 CALCULUS AND ANALYTIC GEOMETRY III (MATH)
Designed for students of mathematics, science, and engineering. Topics covered include differentiation of vectors, space curves and curvature, functions of more than one variable, level curves and level surfaces, limits and continuity, partial derivatives, total differential, tangent planes, the gradient operator, the directional derivative, multivariable forms of the chain rule, locating maxima, minima, and saddle points, the method of Lagrange multipliers, multiple integrals in rectangular, polar, cylindrical and spherical coordinates, transformations of multiple integrals and the Jacobian, surface area, applications of multiple integrals to geometry and mechanics, line integrals in two and three dimensions, vector fields, circulation and flux in two dimensions, Green's Theorem, the curl and divergence operators, surfaces and surface area defined parametrically, Gauss' and Stokes' Theorems, applications of vector calculus to geometry, mechanical work, fluid mechanics and electromagnetic fields, an introduction to the theory and solution of first and second order ordinary differential equations. Prerequisite: 20-804-240 or equivalent. Lecture. 5 credits.
20-804-250 QUANTITATIVE REASONING (MATH)
Intended to develop analytic reasoning and the ability to solve quantitative problems. Topics to be covered include: construction and interpretation of graphs; functional relationships and mathematical modeling; descriptive statistics; basic probability; geometry and spatial visualizations; and math of finance. Appropriate use of units and dimensions, estimates, mathematical notation, and available technology will be emphasized throughout the course. Prerequisite: 20-804-220 or consent of instructor. Lecture. 4 credits.
20-804-290 TOPICS IN MATHEMATICS (MATH)
Pursues advanced or specialized mathematics topics in a traditionally structured, independent study, or service learning format. Topics vary each semester. Depending on the structure, requirements and topics are developed in advance by the instructor or by the student in consultation with the instructor. Lecture. 3 credits.
10-804-106 INTRODUCTION TO COLLEGE MATHEMATICS
Introductory level course designed to review and develop fundamental concepts of arithmetic, algebra, geometry, and statistics. Emphasis will be placed on computational skills and applications of rational numbers; problem solving skills with ratios, proportions, and percent; basic principles and application of algebra, geometry, graphing, and statistics; measurement skills in U.S. Customary and Metric Systems; and the use of calculators as a tool. Lecture. 3 credits.
10-804-107 COLLEGE MATHEMATICS
This course is designed to review and develop fundamental concepts of mathematics pertinent to the areas of arithmetic and algebra, geometry and trigonometry, and probability and statistics. Special emphasis is placed on problem solving, critical thinking and logical reasoning, making connections, and using calculators. Topics include performing arithmetic operations and simplifying algebraic expressions, solving linear equations and inequalities and one variable, solving proportions and incorporating percent applications, manipulating formulas, solving and graphing systems of linear equations and inequalities in two variables, finding areas and volumes of geometric figures, applying similar and congruent triangles, converting measurement within and between U.S. and metric systems, applying Pythagorean Theorem, solving right and oblique triangles, calculating probabilities, organizing data and interpreting charts, calculating central and spread measures, and summarizing and analyzing data. Recommended: pre-algebra, prepared-learner math course, or appropriate placement scores. Lecture. 3 credits.
10-804-113 COLLEGE TECHNICAL MATH 1A
Topics include: Solving linear, quadratic, and rational equations; graphing; formula rearrangement; solving systems of equations; percent; proportions; and operations on polynomials. Emphasis will be on the application of skills to technical problems. Successful completion of College Technical Math 1A and College Technical Math 1B is the equivalent of College Technical Math 1. Lecture. 3 credits.
10-804-114 COLLEGE TECHNICAL MATH 1B
This course is a continuation of College Technical Math 1A. Topics include: measurement systems; computational geometry; right and oblique triangle trigonometry; and trigonometric functions on the unit circle. Emphasis will be on the application of skills of technical problems. Successful completion of or concurrent enrollment in College Technical Math 1A is required for course enrollment. Successful Completion of College Technical Math 1A and College Technical Math 1B is the equivalent of College Technical Math1. Lecture. 2 credits.
10-804-115 COLLEGE TECHNICAL MATHEMATICS 1
Topics include: solving linear, quadratic, and rational equations; formula rearrangement; solving systems of equations; percent; proportions; measurement systems; computational geometry; right and oblique triangle trigonometry; trigonometric functions on the unit circle; and operations on polynomials. Emphasis will be on the application of skills to technical problems. This course is the equivalent of successful completion of College Technical Mathematics 1A and College Technical Mathematics 1B. Lecture. 5 credits.
10-804-116 COLLEGE TECHNICAL MATHEMATICS 2
Topics include: vectors; trigonometric functions and their graphs; identities, exponential and logarithmic functions and equations; radical equations; equations with rational exponents; dimension of a circle; velocity; sine and cosine graphs; complex numbers in polar and rectangular form; trigonometric equations; conic sections; and analysis of statistical data. Emphasis will be on the application of skills to technical problems. Prerequisite: 10-804-115. Lecture. 4 credits.
10-804-11601 COLLEGE TECHNICAL MATH 2A
Topics include radical equations, equations with rational exponents, dimension of a circle, velocity, sine and cosine graphs, and trigonometric equations. Emphasis will be on the application of skills to technical problems. Prerequisites: 10-804-115, or 10-804-113 and 10-804-114.Lecture. 2 credits.
10-804-11602 COLLEGE TECHNICAL MATH 2B
Topics include vectors, identities, exponential and logarithmic functions and equations, complex number in polar and rectangular form, conic sections, and analysis of statistical data. Emphasis will be on the application of skills to technical problems. Prerequisite: 10-804-11601. Lecture. 2 credits.
10-804-123 MATH WITH BUSINESS APPLICATIONS
Covers real numbers, basic operations, linear equations, proportions with one variable, percents, simple interest, compound interest, annuity, applying math concepts to purchasing/buying/selling processes, basic statistics with business/ consumer applications. Lecture. 3 credits.
31-804-302 APPLIED TECHNICAL MATHEMATICS
Develops skills in using mathematics principles essential to the technical service and production workplace, through applied learning contexts. Content includes whole numbers, fractions, percent, graphs, fundamentals of algebra, geometry and trigonometry, and tools and techniques for precision measurement. Lecture. 2 credits.
31-804-310 BASIC ALGEBRA
Covers fundamental algebraic operations using signed numbers, variables, expressions, and exponents. Includes linear equations in one variable, polynomials, graphing equations, systems of equations, rational expressions, and quadratic equations. Emphasizes solving word problems. Prerequisite: ability to perform operations with fractions. Lecture. 2 credits.
31-804-350 INTRODUCTION TO TECHNICAL MATH
Designed as a preparatory course for students enrolling in College Technical Math 1 as well as other technical math courses. It will provide review in the fundamentals of arithmetic, basic geometry, and basic algebra as well as briefly preview right triangle trigonometry. Lecture.
1 credit.