MATHEMATICS

MATH-060  Basic Mathematics

2 CreditsIn this course students will improve their arithmetic skills as well as their ability to solve applications of arithmetic. The subject areas will be addition, subtraction, multiplication, and division of whole numbers, fractions, decimals and integers. Also included are factoring numbers into the products of primes; conversion between decimals, fractions, and percents; ratio and proportion problems; place value and least common multiples. The use of a scientific calculator as a problem solving tool is also taught. This course is taught using computer assisted instruction. Prerequisites: ENGL-093 or appropriate score on the English placement test. (2 hours weekly)

MATH-061  Basic Algebra & Geometry

4 CreditsIn this course students will be introduced to algebraic topics such as working with integers, simplifying numeric expressions with exponents, combining similar terms, multiplying polynomials and evaluating algebraic expressions. They will learn to distinguish among examples of the commutative, associative and distributive properties. Students will solve first degree equations, solve and graph linear inequalities, graph lines and investigate slope and the x- and y- intercepts. They will become familiar with elementary topics in geometry such as basic definitions. Application problems will include perimeter, area, and angle measurement. This course is taught using computer assisted instruction. Prerequisites: MATH-060 or appropriate score on the math placement test; and ENGL-093 or appropriate score on the English placement test. (4 hours weekly)

MATH-064  Integrated Algebra and Geometry I

3 CreditsIn this course, the student will develop skills in manipulating algebraic expressions with integer exponents and in simplifying polynomials and radical expressions. The student will write an equation for a line from given information. Systems of equations will be solved graphically and algebraically. Methods of factoring second-degree polynomials will also be included. The ability to solve equations will be expanded to include factorable quadratics. This course is the first of a two-part sequence needed to complete elementary algebra. This course is taught using computer-assisted instruction. Prerequisite: MATH-061 or appropriate score on mathematics placement test.

MATH-065  Integrated Algebra and Geometry II

2 CreditsThis course is the second in a two-part sequence covering elementary algebra topics. Students will extend their basic algebra skills to include simplifying, performing operations with and solving equations involving rational expressions. The quadratic formula will be introduced. Application problems will include the use of the Theorem of Pythagoras. After successfully completing this course, students should register for intermediate algebra. This course is taught using computer-assisted instruction. Prerequisite: MATH-064

MATH-067  Review of Algebra with Geometry Applications

4 CreditsIn this course, the student will review skills in manipulating algebraic expressions with integer exponents and in simplifying polynominals, rational expressions and radicals. The student will write an equation for a line from given information. Systems of equations will be solved graphically and algebraically. Methods of factoring second-degree polynomials and applications involving factoring will also be included. The ability to solve equations will be expanded to include rational expressions and quadratics. The quadratic formula will be introduced. Application problems will include the use of the Theorem of Pythagoras. This course is taught using computer-assisted instruction. Prerequisite: Appropriate score on mathematics placement test. (4 hours weekly)

MATH–070 Intermediate Algebra

3 CreditsThe emphasis of this course is on using algebraic and graphical techniques to model and solve real world application problems. The use of a graphing calculator is required. Topics will include linear, quadratic, exponential, and logarithmic functions, rational exponent equations (both linear and quadratic), radical equations, linear and nonlinear systems, use of the discriminant, and inverse functions. Familiarity with rational expressions and equations is assumed. Prerequisite: MATH-065 or MATH-067 or appropriate score on math placement test. (4 hours weekly)

MATH-105  Drug Calculations

1 CreditStudents will develop skills in the metric, apothecary and household systems of measurement. Drug calculation problems will provide the student with the opportunity to practice conversions between systems. Students will perform the computations necessary to administer medications in liquid, tablet and capsule form. Prerequisite: MATH-060 or appropriate score on math placement test. (2 hours weekly for 7 weeks) NOTE: Also listed as HEAL-105.

MATH-108  Business Math

3 CreditsIn this course, students will develop skills in the practical applications of arithmetic and mathematical concepts appropriate to the various occupational programs in business. The student will develop the ability to work with percentages, proportions, ratios, tables, charts, graphs, and the scientific calculator in the solution of business problems. The student will also be able to represent data by the use of basic statistical measures. This learning program will also acquaint students with some of the terminology of business and some of the ways in which they can benefit as consumers by an increased awareness of simple business mathematics. Prerequisite: MATH-061 or appropriate score on math placement test. (3 hours weekly)

MATH-121 Finite Mathematics

3 Credits (Mathematics Core)In this course students will learn the language of sets and be introduced to counting theory, tree diagrams, probability, the binomial theorem, independence, Bayes’ theorem, probability distributions, and random variables. Other topics include approximating data by linear models, graphing and analysis of systems of inequalities, matrix algebra and linear programming, and the mathematics of finance. Prerequisite: MATH 070 or appropriate score on math placement test. (3 hours weekly)

MATH-122  Ideas in Mathematics

3 Credits (Mathematics Core)In this course students will develop the ability to reason with quantitative information through the study of the principles of reasoning, number sense, probability and statistical reasoning, logic and mathematical modeling. Students will acquire the specific background and critical thinking skills they need to understand the major issues they will face in life, both on a personal level and as citizens in a modern democracy. There will be an emphasis upon contemporary applications to various real-life problems. This course is intended for students who do not plan to major in mathematics or the sciences. Prerequisite: MATH-070 or appropriate score on math placement test. (3 hours weekly)

MATH-127  Concepts of Mathematics I

4 Credits (Mathematics Core)This course is primarily for students in the elementary education and early childhood education programs. Students will study the structural aspects of mathematics and the "why" of arithmetical computations. Topics include sets, functions, logic, numeration systems, algorithms and their historical development, estimation, mental computations, and elementary number theory. Special emphasis is given throughout the course to problem solving techniques. Appropriate educational uses of technology will be integrated into the course. Prerequisite: MATH-070 or appropriate math placement score. (4 hours weekly)

MATH- 128  Concepts of Mathematics II

4 Credits (Mathematics Core)This course is the second course in a sequence intended primarily for students in the elementary and early childhood education programs. Topics include statistics, probability, metric and non-metric geometry, dimensional analysis, congruence and similarity, and coordinate and transformational geometry. Special emphasis is given throughout the course on problem-solving techniques including the appropriate use of calculators and computers. Prerequsite: MATH-070 or appropriate math placement score. (4 hours weekly) (Concepts I, II may be taken in either order but sequential order is recommended.)

MATH -131 College Algebra

3 Credits (Mathematics Core)Students will further develop algebraic skills with the concept of functions as a tool to model the real world playing a central role. Polynomial, rational, exponential and logarithmic functions will be studied, along with techniques for solving equations and inequalities, complex numbers, operations on functions and inverse functions. A graphical approach will be utilized throughout, with an emphasis on solving application problems. The use of a graphing calculator is required (TI-83 plus or TI-84 recommended). Prerequisite: MATH-070 or appropriate score on math placement test. (3 hours weekly)

MATH-133 College Trigonometry

3 Credits (Mathematics Core)Students will develop skills in basic trigonometry and its applications, with an emphasis on modeling with functions and other algebraic skills necessary for the study of calculus. Trigonometry will be defined using the unit circle approach, with emphasis on the geometry of the circle. Classical right triangle trigonometry will be studied, along with trigonometric identities and equations, the laws of sines and cosines, graphs and properties of the trigonometric functions and their inverses, parametric equations, trigonometric form of complex numbers and Demoivre’s theorem. Additional topics from algebra will include the conic sections. A graphical approach will be utilized throughout, with an emphasis on solving application problems. The use of a graphing calculator is required (TI-83 plus or TI-84 recommended). Prerequisite: MATH-131 or appropriate score on math placement test. (3 hours weekly)

MATH-135 Precalculus

5 Credits (Mathematics Core)Students will develop skills in the analysis of functions and solving of equations and inequalities. The function concept will be central, with the focus on preparing students for calculus. Polynomial, rational, exponential, logarithmic and trigonometric functions will be studied in detail. Additional topics include complex numbers, parametric equations, and conic sections. Modeling using data analysis will be an integral part of this course. A graphical approach will be utilized throughout, with an emphasis on solving application problems. A graphing calculator is required (TI-83 plus or TI-84 recommended) and the computer algebra system DERIVE will also be used. Not open to students who have completed MATH 131 or MATH 133. MATH 135 is equivalent to MATH 131 and 133. Prerequisite: Appropriate score on math placement test. (5 hours weekly)

MATH-138  Statistics

4 Credits (Mathematics Core)In this course, students will develop the skills necessary to examine basic statistical terminology; develop pictorial and analytical distributions; and use statistics tables, a graphing calculator, and a computer to calculate measures of central location and measures of variation. The student will additionally examine the normal distribution, correlation, and regression analysis, sampling, testing hypotheses, the chi square test, and probability related to statistics. Classes will require use of a statistical computational package such as Minitab and/or Excel. The use of a graphing calculator is required. College-level reading skills are needed in this course. Prerequisite: MATH-070 or appropriate score on math placement. (4 hours weekly)

MATH-140  Calculus I

4 Credits (Mathematics Core)In this course, students will develop skills in the initial content of both differential and integral calculus. Students will be able to find limits of functions, be exposed to the epsilon-delta process, and learn about continuous and discontinuous functions. They will be able to find derivatives and integrals of polynomial, rational, radical, trigonometric, exponential and logarithmic functions. This includes the chain rule, the rules dealing with operations, and u-substitution for both definite and indefinite integrals. Applications dealing with maximum, minimum, velocity, and acceleration will be presented. Graphing (asymptotes, increasing, decreasing, concavity, maximum, minimum) will also be discussed. Theorems used in the class will include the mean-value theorem for derivatives and integrals, the squeeze theorem and the fundamental theorem of calculus. Implicit differentiation, differentials and summations of area will be used when appropriate. A graphing calculator is recommended. The use of a computer algebra system will be an integral part of the course. Credit will only be granted for one of the following: MATH-140 or MATH-145. Prerequisite: MATH-135 or MATH-133 or equivalent. (4 hours weekly)

MATH-145  Business Calculus

3 Credits (Mathematics Core)In this course, students will develop skills in the initial content of both differential and integral calculus. Students will be able to find limits of functions and learn about continuous and discontinuous functions. They will be able to find derivatives and integral of polynomial, rational, radical, exponential, logarithmic and some special functions. They will use the chain rule and the rules dealing with operations in finding derivatives and u-substitution in finding definite and indefinite integrals. Applications dealing with optimization, related rate, revenue, cost, profit, supply and demand and areas will be presented. Graphing functions will be an integral part of the course and will contain a discussion of asymptotes, increasing, decreasing, concavity, maximum and minimum. Theorems will be used in the class to justify and explain the concepts. Some of the theorems may include the mean-value theorem for derivatives and integrals, and the fundamental theorems of calculus. Implicit differentiation and differentials will be used when appropriate. Students will use the computer algebra system, DERIVE, and/or spreadhseets to complete projects. Credit will only be granted for one of the following: MATH-140 or MATH-145. Prerequisite: MATH-131 or equivalent. (3 hours weekly)

MATH-150  Calculus II

4 Credits (Mathematics Core)In this course, students will develop additional skills in calculus (see MATH-140 and MATH-240). Derivatives and integrals are extended to hyperbolics, inverse trig, inverse hyperbolics, and power series. Integration techniques taught include parts, partial fractions and trigonometric substitution. Limits are supplemented with L’Hospital’s Rule. Convergent and divergent integrals are discussed in the class. Applications deal with area bounded by curves, work, volume by rotating and slicing, surface area, arc length, and force. Numerical techniques of integration are briefly discussed. Infinite series material covers both sequences and series, convergence and divergence of alternating, power, Taylor and MacLaurin series. In addition, it will include polar and parametric equations. A graphing calculator is recommended. The use of a computer algebra system will be an integral part of the course. Prerequisite: MATH-140 or equivalent. MATH-145 does not fulfill prerequisite requirements. (4 hours weekly)

MATH-186  Introductory Numerical Analysis

3 Credits (Mathematics Core)In this course, students will develop skills necessary to design and implement algorithms to solve problems using digital computers. The FORTRAN or an equivalent language will be used to program solutions to these problems. Techniques will include data input and storage, selection of relevant numerical and non-numerical methods for problem solution, and the efficient ordering of data for meaningful output presentation. Some problems will be fundamental to engineering design, but non-engineers interested in numerical analysis methods along with the construction and description of effective procedures to solve the problem should gain knowledge which can be used in their respective fields of interest. Prerequisite: MATH-150 and CMSY-135 or equivalent. (2 hours lecture, 2 hours lab)

MATH-220  Discrete Structures

3 Credits (Mathematics Core)Upon completion of this course, students will develop skills in fundamental mathematical concepts related to computer science. The course will discuss elements of set theory, relations, functions, propositional logic, permutations, combinations, proof techniques, and elementary graph theory, selected applications will be included. Prerequisite: MATH-140 or equivalent. (3 hours weekly)

MATH-240  Calculus III

4 Credits (Mathematics Core)In this course, students will develop the skills necessary to conclude the calculus sequence. It contains vector calculus in both two and three dimensional space along with the classical theorems of Green, Stokes and Gauss. It will also include a discussion of partial derivatives and multiple integrals along with a number of appropriate applications. The use of a computer algebra system will be an integral part of the course. Prerequisite: MATH-150 or equivalent. (4 hours weekly)

MATH-250  Linear Algebra

4 Credits (Mathematics Core)In this course, students will develop skills in the basic concepts of linear algebra. These skills will cover areas such as vector spaces, linear equations and matrices, similar matrices, linear transformations, eigenvalues, function spaces, determinants, and quadratic forms and complex vector spaces. Various applications will be examined. The use of a computer algebra system will be an integral part of the course. Prerequisite: MATH-140 or equivalent. (4 hours weekly)

MATH-260  Differential Equations

3 Credits (Mathematics Core)In this course, students will develop the skills necessary to use the basic methods of solving differential equations. The student will be asked to solve linear and specific non-linear differential equations. The Laplace transform, power series solutions and undetermined coefficients will be included. Calculus III is recommended. Prerequisite: MATH-150 or equivalent. (3 hours weekly)