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# Mathematics (MATH)

### MATH 1000 Mathematics Skills for Health Professionals (A, SP, SU)

1 credit

This course is designed to provide students with the mathematical skills and strategies required to successfully work in the allied health fields. The course begins with a basic review of math skills necessary for administering basic health care. The course also includes ratio and proportion calculations, an introduction to the metric and apothecary systems of measure, metric-household-apothecary conversions, strengths of solutions, general accounting concepts applicable to running medical offices, unit conversions between Fahrenheit and Celsius scales, dose conversions, and a brief introduction to descriptive statistics.

Lecture: 1 hour

Prerequisite: DEV 0105; minimum grade of “C” Lab fee: $2.00

### MATH 1010 Math for Business Apps (A, SP, SU)

4 credits

This course covers business-related computations and mathematical concepts including percents and the percent formula; units of measurement; scientific notation; gross earnings; FICA and withholding; markup and markdown; simple and compound interest; simple discount notes; loan amortization; depreciation and inventory; fundamentals of geometry; introduction to descriptive statistics, modeling with data and probability. Emphasis is on applications.

Prerequisite: DEV 0115; minimum grade of “C” Lab fee: $6.00

### MATH 1020 Beginning Algebra I (A, SP, SU)

2 credits

This is the first course of a two-semester sequence. It includes the study of the real number system including properties of real numbers, order of operations, operations on algebraic expressions, solving linear equations and inequalities in one variable, the rectangular coordinate system, graphs of linear equations in two variables, introduction to functions. Course also presents applications and activities to build skills in problem solving. Lecture: 2 hours

Prerequisite: DEV 0115; minimum grade of “C” or completion of

MATH 1099 (DEV-0115 module) Lab fee: $4.00

### MATH 1030 Beginning Algebra II (A, SP, SU)

3 credits

This is the second course of a two-semester sequence. It covers the study of graphs of linear equations and inequalities in two variables, systems of equations and inequalities in two variables, applications and modeling, properties of exponents, scientific notation, polynomial arithmetic, factoring, solving polynomial equations. Course also presents applications and activities to build skills in problem solving.

Lecture: 3 hours

Prerequisite: MATH 1020; minimum grade of “C” or placement by completion of MATH 1099 (MATH 1020 module)

Lab fee: $4.00

### MATH 1050 Elementary Algebra (A, SP, SU)

5 credits

This is the first course of a two-semester sequence. It covers the study of the real number system including properties of real numbers, order of operations, operations on algebraic expressions, solving linear equations and inequalities in one variable, the rectangular coordinate system, graphs of linear equations and inequalities in two variables, systems of equations and inequalities in two variables, applications and modeling, properties of exponents, scientific notation, polynomial arithmetic, factoring, solving polynomial equations. Course also emphasizes applications and activities to build skills in problem solving. Not open to students with credit for MATH 1020 and 1030, or 1075 and above.

Lecture: 5 hours

Prerequisite: DEV 0115; minimum grade of “C” or completion of

MATH 1099 (DEV 0115 module) Lab fee: $4.00

### MATH 1075 Intermediate Algebra (A, SP, SU)

5 credits

This is the second course of a two-semester sequence. It covers the study of rational expression arithmetic and simplification and complex fraction simplification; operations on radical expressions and expressions containing rational exponents; the complex number system; solving ab- solute value, rational, radical, and quadratic equations; solving absolute value and polynomial inequalities in one variable; solving compound inequalities in one and two variables; graphs, relations, and functions including quadratic functions; the distance and midpoint formulas and circles. Course also includes applications and activities to build skills in problem solving. Not open to students with credit for MATH 1110, 1116,

1113, or 1130 and above. Lecture: 5 hours

Prerequisite: MATH 1030 or MATH 1050; minimum grade of “C” or

placement by completion of MATH 1099 (MATH 1030 or MATH 1050 module)

Lab fee: $4.00

### MATH 1099 Bridge to College Math (A, SP, SU)

3 credits

The topics contained in DEV 0115, MATH 1050 (or MATH 1020 & 1030), and MATH 1075 will be delivered in a modularized format using technology, allowing students to begin at the appropriate level based on course placement and allowing them to move through as many modules and courses as they can within the time limits of the course. This modularized, mastery approach will pre-test, provide a prescriptive study plan, and post-test students from one module to the next. Emphasis will be placed on individualized pace with a greater time period of active learning. At the end of the course, based on proficiency of the series of modules associated with one or more courses, students will earn a grade of “S” for satisfactory progress and gain permission to enter subsequent courses in their plan of study. This course is recommended for students who have an appropriate placement score and have passed High School Algebra II within the last 5 years.

Lab: 6 hours

Prerequisite: Placement score which allows for DEV 0115 or MATH 1020 or MATH 1030 or MATH 1075 registration Lab fee: $7.00

### MATH 1110 Math Skilled Trades (A, SP, SU)

3 credits

This course is intended to be a basic math course for students in the skilled trades. Special emphasis will be given to the practical application of topics in elementary algebra and elementary geometry. Topics include measurement, ratio and proportion, systems of equations, the study of quadratic equations, basic plane geometry, and basic right triangle trigonometry. Not open to students with credit for MATH 1148.

Lecture: 2 hours - Lab: 2 hours

Prerequisite: MATH 1020; minimum grade of “C” or placement by completion of MATH 1099 (MATH 1020 module)

Lab fee: $3.00

### MATH 1113 Technical Mathematics (A, SP, SU)

5 credits

This is a technical mathematics course which covers rules for measure- ment; the study of rational expression arithmetic and simplification; operations on radical expressions and expressions containing rational exponents; the complex number system; solving rational, radical, and quadratic equations; solving polynomial inequalities in one variable; solving compound inequalities in one and two variables; graphs, relations and functions including quadratic and trigonometric functions, the distance and midpoint formulas and circles. Emphasis is on technically oriented applications and activities to build skills in applied problem solving. Lecture: 4 hours - Lab: 2 hours

Prerequisite: MATH 1030 or MATH 1050; minimum grade of “C” Lab fee: $2.00

### MATH 1116 Math for Liberal Arts (A, SP, SU)

3 credits

A survey of modern mathematical topics relevant to everyday life, intended for students who are not majoring in the physical sciences. This course applies critical thinking and problem solving skills to topics such as elementary graph theory, the mathematics of voting and apportionment, and probability. Not open to students with credit for MATH 1130, MATH

1148, or above. Lecture: 3 hours

Prerequisite: MATH 1075; minimum grade of “C” or placement by completion of MATH 1099 (MATH-1075 module)

Lab fee: $4.00

### MATH 1125 Concept Math Teachers I (A, SP, SU)

5 credits

This course is designed as an in-depth study of the basic concepts of number systems, binary operations, number theory, geometry, measurement, and problem solving as appropriate for primary and middle school teachers. Development of these concepts will be based on the current Common Core State Standards for Mathematics. Instruction will focus on the development of these concepts through demonstration, exploration, and discussion using hands-on manipulatives and appropriate technology.

Lecture: 5 hours

Prerequisite: MATH 1075; minimum grade of “C” or placement by completion of MATH 1099 (MATH-1075 module)

Lab fee: $5.00

### MATH 1126 Concept Math Teachers II (A, SP, SU)

5 credits

This course is a continuation of MATH 1125. Course is designed as an in-depth study of the basic concepts of logic, geometric constructions and proof, algebraic thinking, counting, probability, and problem solving as appropriate for primary and middle school teachers. Development of these concepts will be based on the current Common Core State Standards for Mathematics. Instruction will focus on the development of these concepts through demonstration, exploration, and discussion using hands-on manipulatives and appropriate technology.

Lecture: 5 hours

Prerequisite: MATH 1125; minimum grade of “C” Lab fee: $5.00

### MATH 1130 Business Algebra (A, SP, SU)

5 credits

This course focuses on college algebra topics for students majoring in economics and business. It presents a review of applications of equations, inequalities and function notation. Course serves as an introduction to graphs of functions; translations and reflections of graphs of functions; asymptotic behavior; algebra of functions including function composition and inverses; difference quotients and average rates of change; direct and inverse variation; behavior and modeling of functions including linear, quadratic, higher degree polynomials, rational, radical, exponential, logarithmic and piecewise functions; matrices (addition, subtraction, multiplication, row reduction, and solving systems using row reduction); and the mathematics of finance (compound interest, annuities, amortization and sinking funds.) Business applications are highlighted throughout the content. Not open to students with credit for MATH 1116 or 1148 and above.

Lecture: 5 hours

Prerequisite: MATH 1075; minimum grade of “C” Lab fee: $3.00

### MATH 1131 Calculus for Business (A, SP, SU)

6 credits

This course provides an introduction to calculus. Topics covered include limits, continuity, derivatives, rules of differentiation, derivatives of logarithmic and exponential functions, derivative as a limit, slope, and rate of change, increasing and decreasing, extrema, concavity, points of inflection, antiderivatives, definite integrals, area, fundamental theorem of calculus, techniques of integration, differential equations, functions of several variables, partial derivatives, extrema of functions of two variables. Business applications are highlighted throughout the content. Not open to students with credit for MATH 1151 and above.

Lecture: 6 hours

Prerequisite: MATH 1130; minimum grade of “C”

### MATH 1148 College Algebra (A, SP, SU)

4 credits

This course is a continuation of the study of functions. The concept of transformations is used to graph and analyze functions including quadratic, higher degree polynomial, power, piecewise, rational, exponential, and logarithmic functions. The function concept is extended and applied to solving equations and inequalities. Factor and remainder theorems and roots of polynomial functions are included. The concept of functions is extended to include composition of functions and inverse functions. Systems of equations are solved using algebraic methods and Cramer’s Rule. Trigonometric functions of right angles are defined and used in problem solving. This course meets the general education requirement for the AA degree. Not open to students with credit for MATH 1149 and above. Lecture: 4 hours

Prerequisite: MATH 1075; minimum grade of “C” or placement by completion of MATH 1099 (MATH-1075 module)

Lab fee: $3.00

### MATH 1149 Trigonometry (A, SP, SU)

4 credits

This course is a study of the trigonometric functions, vectors, and related applications. Topics include right triangle trigonometry; trigonometry of general angles; the unit circle; the graphs of the trigonometric functions; analytical trigonometry; inverse trigonometric functions; verifying identities; solving trigonometric equations; the Law of Sines; the Law of Cosines; applications of trigonometry; polar coordinates and the graphs of polar equations; geometric and algebraic vectors; vector applications; plane curves and parametric equations; trigonometric form of complex numbers;, DeMoivre’s Theorem. The conic sections are defined and analyzed algebraically and graphically. Not open to students with credit for MATH 1150 and above.

Lecture: 4 hours

Prerequisite: MATH 1148; minimum grade of “C” Lab fee: $3.00

### MATH 1150 Pre-Calculus (A, SP, SU)

6 credits

This is an accelerated course intended for well prepared students going on to take calculus. Topics included polynomial and rational functions, exponential and logarithmic functions, trigonometric and inverse trigonometric functions. Such functions are graphed and analyzed, and related equations and inequalities are solved. Problem solving with related applications occurs throughout. Sequences and series are introduced. This course is intended for students with strong mathematics preparation. Students should have completed four years of high school mathematics including Algebra II or above. Not open to students with credit for MATH

1148 and 1149, or 1151 and above. Lecture: 6 hours

Prerequisite: MATH 1075; minimum grade of “A” or placement by completion of MATH 1099 (MATH-1075 module with overall course average of at least 90%) Lab fee: $3.00

### MATH 1151 Calculus I (A, SP, SU)

5 credits

This course provides and introduction to differential calculus. Topics presented include functions, limits, continuity, derivatives, differentiation rules, derivatives of the trigonometric, exponential, and logarithmic functions, related rates, extrema, curve sketching, and optimization. Course also introduces integral calculus: antiderivatives, definite integral, Riemann sums, area under a curve, Fundamental Theorem of Calculus, numerical integration, integration by substitution, and derivatives and integrals of inverse trigonometric, hyperbolic, and inverse hyperbolic functions. Applications to problems in science and engineering are highlighted.

Lecture: 5 hours

Prerequisite: MATH 1149 or MATH 1150; minimum grade of “C” Lab fee: $2.00

### MATH 1152 Calculus II (A, SP, SU)

5 credits

This course continues the introduction to integral calculus. Topics covered include integration of exponential, logarithmic, trigonometric, inverse trigonometric functions, volume and surface area of solids of revolution, arc length, and methods of integration. Course also presents L’Hopital’s Rule and Improper Integrals. Students will learn to analyze plane curves given parametrically or in polar coordinates, and their differential and integral calculus. Students will learn about infinite sequences and series, their sum and/or convergence, conic sections, vectors in the plane and in space. Applications to problems in science and engineering are noted. Not open to students with credit for MATH 1157 and above.

Lecture: 5 hours

Prerequisite: MATH 1151 or MATH 152; minimum grade of “C” Lab fee: $2.00

### MATH 1156 Calculus for Bio Science (A, SP, SU)

5 credits

This course presents differential and integral calculus of a single variable including limits, continuity, derivatives, Mean Value Theorem, extrema, curve sketching, related rates, differentiation of the trigonometry, logarithmic, and exponential functions, integrals, area, Fundamental Theorem of Calculus, logarithmic and exponential functions, trigonometric and inverse trigonometric functions, methods of integration, applications of integration, and polar coordinates. Applications to the biological sciences will be stressed. Not open to students with credit for MATH

1151 and above. Lecture: 5 hours

Prerequisite: MATH 1149 or MATH 1150, minimum grade of “C”

### MATH 1157 Modeling for Bio Sciences (A, SP, SU)

5 credits

This course presents integration, topics in linear algebra, dynamical systems, vector fields, gradients, and team modeling projects. Not open to students with credit for MATH 1152 or MATH 2153 and higher. Lecture: 5 hours

Prerequisite: MATH 1151 or MATH 1156; minimum grade of “C”

### MATH 1172 Engineering Mathematics A (A, SP, SU)

5 credits

This course covers integration techniques, sequences and series, Taylor series, vectors and parametric curves, several variables, partial derivatives, chain rule, max-min. Not open to students with credit for any higher numbered math class, or for MATH 1152.

Lecture: 5 hours

Prerequisite: MATH 1151 or MATH 152; minimum grade of “C”

### MATH 1193 IS in Mathematics (A, SP, SU)

1-5 credits

This course is designed to give students an opportunity for a detailed study of topics of interest in mathematics.

Lecture: Varies

Instructor permission required

### MATH 1194 SPT: Mathematics (A, SP, SU)

1-5 credits

This course is designed to give groups of students an opportunity for a detailed study of topics of interest in mathematics not otherwise offered. Lecture: Varies

Instructor permission required

### MATH 2153 Calculus III (A, SP, SU)

5 credits

MATH 2153 is an introduction to multivariable calculus. Students will learn about vector valued functions and motion in the plane and in space, functions of several variables, partial derivatives, directional derivatives, gradients, extrema, multiple integrals, line integrals, Green’s theorem, parametric surfaces, divergence theorem, and Stokes theorem. Applications to problems in science and engineering will be highlighted. Lecture: 5 hours

Prerequisite: MATH 1152; minimum grade of “C” Lab fee: $2.00

### MATH 2173 Engineering Mathematic B (A, SP, SU)

5 credits

This course covers multiple integrals, line integrals, vector fields, and second order constant coefficient ODEs.

Lecture: 5 hours

Prerequisite: MATH 1172; minimum grade of “C”

### MATH 2174 Linear Algebra Differential Equations for Engineering (A, SP, SU)

5 credits

This course delves into matrix theory, eigenvectors and eigenvalues, ordinary and partial differential equations.

Lecture: 5 hours

Prerequisite: MATH 2173; minimum grade of “C”

### MATH 2193 IS Mathematics II (A, SP, SU)

1-5 credits

This course is designed to give students an opportunity for a detailed study of topics of interest in mathematics.

Lecture: Varies

Instructor permission required

### MATH 2194 SPT: Mathematics II (A, SP, SU)

1-5 credits

This course is designed to give groups of students an opportunity for a detailed study of topics of interest in mathematics not otherwise offered. Lecture: Varies

Instructor permission required

### MATH 2255 Elementary Differential Equations (A, SP, SU)

4 credits

This course is a study of the basic concepts and methods for solving ordinary differential equations. Topics include slope fields; separable, linear, exact, Bernoulli, and homogeneous first order equations; homogeneous and nonhomogeneous second and higher order linear equations; Laplace transforms; series solutions; and numerical methods. Applications to physical sciences and engineering are highlighted. Lecture: 4 hours

Prerequisite: MATH 2153 or MATH 254; minimum grade of “C” Lab fee: $2.00

### MATH 2366 Discrete Math Structures (A, SP, SU)

5 credits

This course covers mathematical formalization and reasoning; logic; sets, mappings, and functions; methods of proof, recursive definitions; mathematical induction; elementary counting techniques, probability theory; relations and equivalence relations; Boolean algebra, logic gates; graphs, directed graphs, and trees. Applications to to computer science will be noted.

Lecture: 5 hours

Prerequisite: MATH 1152; minimum grade of “C”

### MATH 2415 Ordinary Partial Differential Equations (A, SP, SU)

4 credits

This course presents a study of the basic concepts and methods of solving ordinary and partial differential equations; slope fields; separable, linear, exact, Bernoulli, and homogeneous first order equations; systems of first order differential equations; homogeneous and nonhomogeneous second order linear equations; Fourier Series, Heat Equation and other separable partial differential equations. Topics covered have applications to physical sciences and engineering.

Lecture: 4 hours

Prerequisite: MATH 2153 or MATH 254; minimum grade of “C”

### MATH 2568 Linear Algebra (SP, SU)

4 credits

This course explains systems of linear equations, matrices, and determinants; vector spaces and their subspaces, Rn, coordinate systems and bases; linear transformations; eigenvalues including complex eigenvalues, eigenvectors; inner product and orthogonality, and orthogonal matrices. Topics covered have geometric and real-world applications. Lecture: 4 hours

Prerequisite: MATH 2153 or MATH 254; minimum grade of “C” Lab fee: $2.00