Mathematics

This course is designed to support students enrolled in MATH 1704. The student will study problem solving techniques that involve concepts such as estimation, solving linear equations and systems of equations, graphing functions, and using functions as models, interpreting graphs and Venn diagrams, solving problems involving percents, and using appropriate formulas.

The student will study arithmetic concepts, including the four operations of real numbers, rates, proportions, and measurements. This course includes an introduction to algebra in simplifying expressions and solving simple linear equations. Computations and applications will be stressed. This course is designed to prepare students for college-level coursework.

The student will study arithmetic concepts, including the four operations of real numbers, percents, and percent change. Computations and applications will be stressed. This course is designed to prepare students for MATH 0985.

This course is designed to be an alternative developmental mathematics path for non-STEM majors who plan to take general education mathematics and/or general education statistics. Topics in this course are presented in context and focus on numeracy, proportional reasoning, algebraic reasoning and functions. In addition to algebra topics, this courses promotes developing mathematical reasoning through problem solving, critical thinking, data analysis, and the writing and communication of mathematics.

This course focuses on preparing students for statistical reasoning and solving problems using real-world data. Students will be introduced to technology used in statistics courses (graphing calculators, spreadsheets, or statistical software). Topics include visual display of data, using formulas, linear equations, graphing linear equations, rules of exponents, inequalities, and the language of probability.

This course presents arithmetic, algebra, geometry and trigonometry content focused on applications used in technical disciplines. Topics include fundamental operations with real numbers, measurement, formulas, ratio and proportions, plane and solid geometry, right triangle trigonometry and interpretation of graphs and charts. AAS: Mathematics elective.

This course presents basic mathematical principles, laws and formulas which relate to alternating (AC) and direct current (DC) circuit applications in electricity. These applications are presented in real work scenarios using residential, commercial and industrial electrical circuits. Topics include application of alternative number systems, proportions, linear and nonlinear graphs, trigonometric functions, vectors and complex numbers. AAS: Mathematics elective.

This is designed as a refresher course to help prepare first year registered nursing students for the mathematics competency test taken in RNUR 1129. Topics include systems of measurement, use of formulas, dimensional analysis, solutions, and dosage calculations.

This course is for Respiratory Therapist students to learn applications of mathematical concepts in the field. Topics include systems of measurement, dosage calculations, gas laws, concepts of oxygenation and use of formulas for specific respiratory applications.

This course will provide the student with a working knowledge of all math formulas and equations relative to patient care. Students will supplement and reinforce mathematics learned within health programs. This course builds upon MATH 1141 to develop discipline-specific applications.

The emphasis in this course is on real-world mathematics concepts used in the workplace or in a person's daily life. This course will develop skills needed for solving business and consumer-related problems, analyzing and interpreting data, and applying sound decision-making skills. After a review of the fundamental processes, problems are covered which involve percentage, markup, discounts, interest, taxation, bank reconciliation, payroll, and insurance. AAS: Mathematics elective.

The course presents the basic principles of algebra and its application. Topics include the study of properties of real numbers, equations and inequalities of one variable, introduction to graphing, systems of equations in two variables, and operations and factoring of polynomials. Skills for success in more advanced courses are emphasized; consequently, the student must have a strong working knowledge of arithmetic before entering this course.

Topics include sets, real numbers, factoring, functions, expressions (polynomial, rational, exponential, logarithmic, and radical), equations (linear, absolute value, rational, quadratic, exponential, logarithmic, and radical) and inequalities (linear and absolute value). Systems of three equations and complex numbers are introduced. Word problems are studied in detail. Skills for success in transfer-level mathematics courses are emphasized.

The student will use inductive, deductive, and indirect proofs in the study of plane and solid geometry, properties of congruence, similarity, ratio and proportion, area, perimeter, and volume of basic figures.

Models for operations with whole numbers are developed and relationships between the operations are studied. Numeration systems and additional properties of whole numbers are explored, leading to the development of fractions and integers. In addition, calculators, elementary logic, and Polya's four-step process are used in problem solving. This course cannot be used to satisfy the math requirement for an associate degree.

Introductory topics in statistics, probability, geometry (including shapes, congruence, relationships, constructions, and the Pythagorean theorem), and measurement are studied. This course may be used to satisfy one of the two mathematics requirements for an associate in science degree in Elementary Education. IAI: M1 903.

This is a general education mathematics course. It focuses on mathematical reasoning, solving real-life problems and appreciating math's function, rather than on routine skills. Three or four of the following topics will be studied in depth: geometry; both counting techniques and probability; graph theory; both logic and set theory; mathematical modeling; mathematics of finance; game theory; linear programming, including the simplex method; statistics; and both voting and apportionment. IAI: M1 904.

Methods from linear algebra and probability are developed and applied to problems in business and the social sciences. Topics include word problems, functions, graphs, systems of equations, matrices, linear programming, sets, probability, counting techniques, finite geometric series, and annuities. IAI: M1 906.

This course focuses on statistical reasoning and on solving problems using real-world data rather than on computational skills. Use of technology-based computations (such as graphing calculators with a statistical package, spreadsheets, or statistical computing software) is required with emphasis on interpretation and evaluation of statistical results. Topics include data collection processes (observational studies, experimental design, sampling techniques, bias), descriptive methods using quantitative and qualitative data, bivariate data, correlation, and least-squares regression, basic probability theory, probability distributions (normal distributions and normal curve, binomial distribution), chi-square tests, one-way analysis of variance, confidence intervals and hypothesis tests using p-values. Students cannot receive credit for both MATH 1774 and BSNS 2514. IAI: M1 902 Mathematics. IAI: BUS 901 Business.

Definitions of trigonometric functions are defined using the unit circle then extended to the solution of right triangles. Content includes radian measure, trigonometric functions and their inverses, identities, graphs, equations, triangles, the Laws of Cosines and Sines and applications of trig functions. Skills for success in more advanced courses are emphasized. Consequently, the student must have a strong working knowledge of algebra before entering the course. AAS: Mathematics elective.

Polynomial, rational, exponential, and logarithmic functions and their graphs are studied in detail. Topics include the algebra of functions, symmetry and transformations, conic sections, equations (linear, absolute value, fractional, quadratic, polynomial, radical, exponential, and logarithmic), inequalities (linear, absolute value, and quadratic), and systems of equations. AAS: Mathematics elective.

Introductory calculus will be applied to problems in business and the social sciences. Emphasis will be on applications of basic calculus concepts rather than proofs. Topics include limits; techniques of differentiation applied to polynomial, rational, exponential, and logarithmic functions; partial derivatives and applications; finding the minima and maxima of functions; and integration techniques such as substitution and integration by parts. IAI: M1 900-B

Introduction to analysis of finite collections and mathematical foundations of sequential machines, computer system design, data structures, and algorithms. Includes sets and logic, subscripts, arrays, number systems, counting, recursion, graph theory, trees, nets, and Boolean algebra. IAI: M1 905. IAI: CS 915.

Derivatives and integrals are carefully developed as applications of the limit concept. These ideas are extended to algebraic, trigonometric, and logarithmic functions. A strong emphasis is given to applications in physics, geometry, and other sciences. IAI: MTH 901 Mathematics. IAI: M1 900-1.

Integration techniques, indeterminate forms, improper integrals, and power series expansions are the principal topics of the course. Specific topics include integration (by parts, substitutions, partial fractions, and inverse circular and hyperbolic functions), L'Hopital's rule, convergences tests for infinite series, and Taylor polynomials. IAI: MTH 902 Mathematics. IAI: M1 900-2.

This course is an introduction to vector calculus as well as application of differentiation and integration to functions of several variables. Topics include partial derivatives, directional derivatives, motion in space, line integrals, and multiple integration. IAI: MTH 903 Mathematics. IAI: M1 900-3.

Solution techniques for several types of ordinary differential equations are developed and applied to problems in physics, geometry, and other sciences. Topics include first order equations (separable, homogeneous, exact, and linear), higher-order linear equations with constant coefficients, the Laplace transform, systems of linear equations, and power series solutions. AAS: Mathematics elective. IAI: MTH 912 Mathematics.