Course DescriptionsMATHEMATICS

**MATH-060 Basic Mathematics**

2 Credits

Students will improve arithmetic skills and ap- plication solving skills. Areas of study include addition, subtraction, multiplication and division of whole numbers, decimals, fractions and inte- gers; factoring numbers into primes; conversions between decimals, fractions and percents; ratio and proportion; place value and least common multiples. This course is taught using computer assisted instruction. Prerequisite: ENGL-093 AND appropriate score on mathematics placement test. (2 hours weekly)

**MATH-061 Basic Algebra and**

Geometry

4 Credits

In this course students will be introduced to algebraic topics such as simplif ying expres- sions with exponents, combining like terms, multiplying polynomials, and evaluating algebraic expressions. Students will learn to distinguish among examples of the commutative, associa- tive, and distributive properties. Students will solve first-degree equations, solve and graph linear inequalities on a number line, graph lines and investigate slope, slope-intercept form, and the x- and y- intercepts. They will become familiar with elementar y topics in geometr y such as basic definitions of perimeter and area. Systems of equations will be solved graphically and algebraically. Prerequisite: MATH-060 or ap- propriate score on the mathematics placement test AND ENGL-093 or appropriate score on the English placement test. (4 hours computer-based instructional lab, 1.5 hours recitation weekly)

**MATH-063 Introduction to Elementary**

Algebra

4 Credits

This course is part of the developmental math- ematics sequence and covers the topics in the middle units in the sequence. In this course, the student will simplify expressions involving integer exponents, combine polynomials using addition, subtraction, multiplication and division, and simplify rational expressions and radicals. Students will solve systems of two linear equa- tions both algebraically and graphically. Methods of factoring second-degree polynomials and applications involving factoring and scientific notation will also be included. Students will solve quadratic equations and related applications using factoring and the quadratic formula. Accel- erated students will solve problems using ratios and proportions, the Pythagorean Theorem, distance and midpoint formulas. All sections require the use of the interactive computer pro- gram that comes with the text. Prerequisite: Only students who earn a C in MATH-061 are eligible to register for MATH-063. (4 hours computer-based instructional lab, 1.5 hours recitation weekly)

**MATH-067 Elementary Algebra**

4 Credits

In this course, the student will develop skills in simplifying polynomials, rational expressions and radicals. Methods of factoring second-degree polynomials and applications involving factoring will also be included. Students will solve quadratic equations and related applications using factoring and the quadratic formula. They will become familiar with triangles, midpoint, and distance between two points. Students will use ratios and proportions to solve various problems. Application problems will include the use of the Theorem of Pythagoras, and scientific notation. All sections require the use of the interactive computer program that comes with the text. Prerequisite: Appropriate score on mathematics placement test or permission of department. (4 hours computer-based instructional lab, 1.5 hours recitation weekly)

**MATH-070 Intermediate Algebra**

3 Credits

The emphasis of this course is on using algebraic and graphical techniques to model and solve real-world application problems. A graphing calculator is required. Topics include linear, quadratic, exponential, inverse, and logarithmic functions; rational equations (both linear and quadratic); radical and power equations; and linear and nonlinear systems. Prerequisite: Ap- propriate score on mathematics placement test or permission of department. (4 hours weekly)

**MATH-105 Drug Calculations**

1 Credit

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

**MATH-122 Ideas in Mathematics**

3 Credits (Mathematics Core) Students will develop the ability to reason with quantitative information through the study of the principles of reasoning, number sense, prob- ability and statistical reasoning, mathematical modeling and exponential functions. 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 is an emphasis upon the contemporary applications to various real-life problems. In- tended for students who are not majoring in mathematics or science. Prerequisite: MATH-070 or higher or appropriate score on the mathemat- ics placement exam. (3 hours weekly)

**MATH-127 Concepts of Mathematics I**

4 Credits

This course is for students in the elementary education and early childhood education pro- grams. Students will study the structural aspects of mathematics and the ‘why’ of arithmetical computations. Mental arithmetic is a required component of this course. 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. MATH-127 is not a mathematics core course. Prerequisite: C or better in MATH-070 or appropriate score on mathematics placement test. (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. Top- ics include probability, metric and non-metric geometry, dimensional analysis, congruence and similarity, and coordinate and transformational geometry. Special emphasis is given through- out the course to problem-solving techniques including the appropriate use of calculators and computers. *Core Course for appropriate education majors only. Prerequisite: C or better in MATH-070 or appropriate score on mathematics placement test. (4 hours weekly)

**MATH-138 Statistics**

4 Credits (Mathematics Core)

In this course, students will develop the skills necessary to examine basic statistical terminol- ogy, develop pictorial and analytical distributions, and use a calculator to calculate measures of central location and measures of variation. Students 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 the use of a statistical package. Prerequisite: MATH-070 or appropriate score on mathematics placement exam. (4 hours weekly)

**MATH-141 College Algebra**

3 Credits (Mathematics Core)

In this course students will learn the language of functions and be introduced to families of functions and their applications. Topics include linear, quadratic, exponential, and logarithmic functions. Other topics include solving systems of linear equations using matrices, matrix alge- bra and linear programming. Emphasis will be placed on solving problems algebraically and with the technological tools used in business and the social sciences. Prerequisite: MATH 070

or appropriate score on mathematics placement test. (4 hours weekly)

**MATH-143 Precalculus I**

3 Credits (Mathematics Core)

In this course, students will further develop their algebraic skills. The concept of a function as a tool to model the real world will play a central role. Polynomial, rational, exponential, logarith- mic, and trigonometric functions will be studied, along with operations on functions and inverse functions. A graphical approach will be utilized throughout, with an emphasis on solving ap- plication problems. All sections require the use of the interactive computer program that comes with the text. This course replaces MATH-131. Prerequisite: MATH-070 or appropriate score on mathematics placement test. (3 hours weekly)

**MATH-145 Business Calculus**

3 Credits (Mathematics Core) Students will develop skills in initial content of both differential and integral calculus, with an emphasis on applications from business and economics. Topics include finding the limits of functions, computing derivatives of polynomial, rational, radical, exponential, and logarithmic functions using the chain rule and the basic differentiation rules, and substitution in finding definite and indefinite integrals. Applications include dealing with optimization, marginal analysis, supply and demand, and area. Graphs of functions will be analyzed using first and second derivatives to identify asymptotes, in- ter vals of increase/decrease, maxima/minima, concavity, and points of inflection. The funda- mental theorem of calculus, summations of area, partial derivatives, and the method of least squares will be used when appropriate. Students cannot receive credit for both MATH-145 and MATH-181. Prerequisite: MATH-141 or higher. (3 hours weekly)

**MATH-153 Precalculus II**

3 Credits (Mathematics Core)

This course is the second part of a two-course sequence in precalculus. 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. Properties of complex numbers will be studied, along with regression models, trigonometric identities and equations, graphs and properties of the trigonometric func- tions and their inverses, parametric equations, trigonometric form of complex numbers, de Moivre’s theorem, and polar coordinates. Addi- tional topics from algebra will include sequences and series. A graphical approach will be utilized throughout, with an emphasis on solving applica- tion problems. All sections require the use of the interactive computer program that comes with the text. This course replaces MATH-133. Prereq- uisite: MATH-131 or MATH-143. (3 hours weekly)

**MATH-155 Precalculus I & II**

5 Credits (Mathematics Core) Students will develop skills in the analysis of func- tions and solving of equations and inequalities. Polynomial, rational, exponential, logarithmic and trigonometric functions will be studied in detail. Additional topics include complex numbers and parametric and polar equations and sequence and series. Modeling using data analysis will be an integral part of this course. A graphical approach will be utilized through- out, with an emphasis on solving application problems. This course replaces MATH-135. Not open to students who have completed MATH-131, MATH-133, MATH-143 or MATH-153. MATH-155 is equivalent to MATH-143 and MATH-153. Pre- requisite: Appropriate score on mathematics placement test or equivalent. (5 hours weekly)

**MATH-181 Calculus I**

4 Credits (Mathematics Core) Students will develop skills in the initial content of both differential and integral calculus includ- ing finding limits of functions, exposure to the epsilon-delta process and continuity, finding derivatives and integrals of polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions, inverse functions, the chain rule, and integration by substitution. Applications dealing with optimiza- tion, related rates, Newton’s method, L’Hopital’s rule, and motion problems and properties of the graphs of functions are covered. Theorems include the mean-value theorem for derivatives and integrals, the squeeze theorem and the fundamental theorems of calculus. Implicit differentiation, differentials and summations of area will be used when appropriate. 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, MATH-145 or MATH-181. Prerequisite: MATH-153 or MATH-

155 or appropriate score on the mathematics placement test. A grade of C or higher in the Precalculus sequence is strongly recommended. (4 hours weekly)

**MATH-182 Calculus II**

4 Credits (Mathematics Core)

This course is the second in a three-part calculus sequence. Applications include area bounded by cur ves, volume by rotating and slicing, arc length, work, and centers of mass. Integration

techniques taught include integration by parts, partial fractions, trigonometric substitution, numerical integration, and improper integrals. Students will be introduced to hyperbolic func- tions, elementary differential equations, direction fields, parametric equations, polar coordinates and their applications. The study of sequences and infinite series will include tests for conver- gence of the various types of series, leading to power series and Taylor series. The use of a computer algebra system will be an integral part of the course. Prerequisite: MATH-181 or equiva- lent, a grade of C or higher is recommended. (4 hours weekly)

**MATH-220 Discrete Structures**

3 Credits (Mathematics Core)

In this course, students will develop skills in fundamental mathematical concepts related to computer science. The course will discuss elements of set theor y, relations, functions, propositional logic, permutations, combinations, probability, proof techniques, and elementary graph theory. Selected applications will be in- cluded. Prerequisite: MATH-181 or equivalent. (3 hours weekly)

**MATH-240 Calculus III**

4 Credits (Mathematics Core)

In this course, students will develop skills nec- essary to conclude the calculus sequence. The course includes vector calculus in both two- and three-dimensional space along with the classical theorems of Green, Stokes, and Gauss. It will also include partial derivatives and multiple integrals along with a number of appropriate applications. A graphing calculator and MATLAB, a computer algebra system, will be integral parts of the course. Prerequisite: MATH-182 or equivalent; a grade of C or higher is recommended. (4 hours weekly)

**MATH-250 Linear Algebra**

4 Credits (Mathematics Core) Students will develop skills in the basic concepts of linear algebra. These skills will cover areas such as vector spaces, systems of linear equa- tions and matrices, determinants, similar ma- trices, diagonalizations, linear transformations, eigenvalues and eigenvectors, inner product spaces, quadratic forms, and complex vector spaces. Use of MATLAB, the computer algebra system, is required. Calculators are not permit- ted. Prerequisite: MATH-181 or equivalent. (4 hours weekly)

**MATH-260 Differential Equations**

3 Credits (Mathematics Core)

This course consists of concepts generally encountered in a first course in differential equations including a comprehensive treatment of first-order differential equations employing a variety of solutions techniques. A study of higher-order equations, largely second-order, is included with emphasis on linear equations possessing constant coefficients as well as vari- able coefficients. Classical and contemporary applications are included throughout, coming from diverse fields such as mechanics, electri- cal circuits, and economics. MATLAB is used to provide an integrated environment for symbolic, graphic, and numeric investigations of routine solutions of differential equations and of model- ing physical phenomena. The course concludes with a discussion of the Laplace transform and its application to linear equations with constant coefficients. Prerequisite: MATH-182 or equiva- lent; a grade of C or higher is recommended. (3 hours weekly)