# Mathematics (804)

**804-107. College Mathematics. (3 Credits)**

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 in 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 measurements 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.

Prerequisites: (High School GPA 2.60 or Higher or College Proficiency - Math or COMPASS-Pre-Algebra with a score of 42 or ACT-Math with a score of 17 or ASSET-Numerical Skills with a score of 38 or Accuplacer Arithmetic60 or ALEKS Math Placement with a score of 14 or GED Math - 2014 Series with a score of 165 or Next-Gen Accuplacer Arithmetic with a score of 258 or Next-Gen Accuplacer QR Algebra with a score of 241 or 804-169A with a minimum grade of C or 804-304 with a minimum grade of C or 854-752 with a minimum grade of B- or 834-109 (may be taken concurrently) with a minimum grade of C)

**804-113. College Technical Math 1A. (3 Credits)**

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.

Prerequisites: 834-109 (may be taken concurrently) with a minimum grade of C or 804-123 with a minimum grade of C or 854-752 with a minimum grade of B- or ASSET-Numerical Skills with a score of 39 or Accuplacer Arithmetic60 or ACT-Math with a score of 17 or ALEKS Math Placement with a score of 30 or COMPASS-Pre-Algebra with a score of 44 or College Proficiency - Math or GED Math - 2014 Series with a score of 165 or High School GPA 2.60 or Higher or Next-Gen Accuplacer Arithmetic with a score of 258 or Next-Gen Accuplacer QR Algebra with a score of 241

**804-114. College Technical Math 1B. (2 Credits)**

This course is a continuation of College Technical Mathematics 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 to technical problems.

Prerequisites: (804-113 (may be taken concurrently) with a minimum grade of C or 804-107 (may be taken concurrently) with a minimum grade of C or 834-110 (may be taken concurrently) with a minimum grade of C or COMPASS-Algebra Skills with a score of 46 or ASSET-Elementary Algebra with a score of 45 or ACT-Math with a score of 21 or ALEKS Math Placement with a score of 46 or GED Math - 2014 Series with a score of 175 or Accuplacer Elementary Algebra55 or Next-Gen Accuplacer QR Algebra with a score of 260) or Next-Gen Accuplacer Arithmetic with a score of 258

**804-115. College Technical Math 1. (5 Credits)**

Learn to solve linear, quadratic and rational equations; graphing; 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.

Prerequisites: (834-109 (may be taken concurrently) with a minimum grade of C or 854-752 with a minimum grade of B- or COMPASS-Algebra Skills with a score of 32 or ASSET-Elementary Algebra with a score of 40 or ACT-Math with a score of 18 or ALEKS Math Placement with a score of 30 or Accuplacer Elementary Algebra55 or Next-Gen Accuplacer QR Algebra with a score of 260)

**804-116. College Technical Math 2. (4 Credits)**

Learn 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.

Prerequisites: (804-115 with a minimum grade of C or 804-114 with a minimum grade of C or COMPASS-Algebra Skills with a score of 66 or ACT-Math with a score of 23 or ALEKS Math Placement with a score of 61 or Accuplacer College Level Math43 or Next-Gen Accuplacer AdvAlgebra with a score of 267 or ASSET-Elementary Algebra with a score of 45)

**804-118. Interm Algebra w Apps. (4 Credits)**

Learn algebra content with applications. Topics include properties of real numbers, order of operations, algebraic solution for linear equations and inequalities, operations with polynomial and rational expressions, operations with rational exponents and radicals, algebra of inverse, logarithmic and exponential functions.

Prerequisites: (COMPASS-Algebra Skills with a score of 46 or ASSET-Elementary Algebra with a score of 45 or ACT-Math with a score of 21 or ALEKS Math Placement with a score of 30 or GED Math - 2014 Series with a score of 175 or 834-110 (may be taken concurrently) with a minimum grade of C or Accuplacer Elementary Algebra55 or Next-Gen Accuplacer QR Algebra with a score of 260)

**804-123. Math w Business Apps. (3 Credits)**

Cover real numbers, basic operations, linear equations, proportions with one variable, percents, simple interest, compound interest and annuities. Apply math concepts to the purchasing/buying and selling process, and use basic statistics with business/consumer applications.

Prerequisites: (High School GPA 2.60 or Higher or College Proficiency - Math or COMPASS-Pre-Algebra with a score of 42 or ACT-Math with a score of 17 or ASSET-Numerical Skills with a score of 38 or Accuplacer Arithmetic60 or Next-Gen Accuplacer Arithmetic with a score of 258 or Next-Gen Accuplacer QR Algebra with a score of 241 or ALEKS Math Placement with a score of 14 or GED Math - 2014 Series with a score of 165 or 804-169A with a minimum grade of C or 854-752 with a minimum grade of B- or 834-109 (may be taken concurrently) with a minimum grade of C)

**804-133. Math & Logic. (3 Credits)**

Students will apply mathematical problem solving techniques. Topics will include symbolic logic, sets, algebra Boolean algebra and number bases.

Prerequisites: (834-110 (may be taken concurrently) with a minimum grade of C or 804-107 with a minimum grade of C or 804-123 with a minimum grade of C or ASSET-Elementary Algebra with a score of 45 or Accuplacer Elementary Algebra55 or ACT-Math with a score of 21 or ALEKS Math Placement with a score of 30 or COMPASS-Algebra Skills with a score of 46 or GED Math - 2014 Series with a score of 175 or Next-Gen Accuplacer QR Algebra with a score of 260)

**804-138. Physical Mathematics. (3 Credits)**

Introductory topics of algebra are presented with applications related to scientific concepts and procedures. Scientific notation, dimensional analysis, ratio and proportion, metric and apothecaries' measure, medical dosages and graphing of data are studied.

Prerequisites: (High School GPA 2.60 or Higher or College Proficiency - Math or COMPASS-Pre-Algebra with a score of 25 or 854-793 with a minimum grade of S or ACT-Math with a score of 14 or ASSET-Numerical Skills with a score of 32 or Accuplacer Arithmetic34 or Next-Gen Accuplacer Arithmetic with a score of 210 or ALEKS Math Placement6)

**804-156. Calculus 2. (4 Credits)**

This course is a continuation of Calculus 1, 804-198. Explore topics including integration techniques, first-order differential equations, parametric equations, polar coordinates, analytic geometry and infinite series. Emphasis is placed on applications to problems in science and engineering.

Prerequisites: (804-198 with a minimum grade of C)

**804-167. Calculus 3. (4 Credits)**

This course is a continuation of 804-156 Calculus 2. Explore topics including vectors and analytic geometry, vector-valued functions, multi-variable functions and partial derivatives, multiple integrals and vector fields.

Prerequisites: (804-156 (may be taken concurrently) with a minimum grade of C)

**804-189. Introductory Statistics. (3 Credits)**

Students taking Introductory Statistics display data with graphs, describe distributions with numbers perform correlation and regression analyses, and design experiments. They use probability and distributions to make predictions, estimate parameters and test hypotheses. They draw inferences about relationships including ANOVA.

**804-195. College Algebra w Apps. (3 Credits)**

Cover skills needed for success in calculus and many application areas on a baccalaureate level. Topics include the real and complex number systems, polynomials, exponents, radicals, solving equations and inequalities (linear and nonlinear), relations and functions, systems of equations and inequalities (linear and nonlinear), matrices, graphing, conic sections, sequences and series, combinatorics and the binomial theorem.

Prerequisites: (804-118 (may be taken concurrently) with a minimum grade of C or COMPASS-Algebra Skills with a score of 66 or ALEKS Math Placement with a score of 46 or ACT-Math with a score of 24 or Accuplacer College Level Math43 or Next-Gen Accuplacer AdvAlgebra with a score of 267)

**804-196. Trigonometry w Apps. (3 Credits)**

Learn circular functions, graphing of trigonometry functions, identities, equations, trigonometric functions of angles, inverse functions, solutions of triangles, complex numbers, DeMoivre's Theorem, polar coordinates and vectors.

Prerequisites: (804-195 (may be taken concurrently) with a minimum grade of C or ALEKS Math Placement with a score of 61)

**804-198. Calculus 1. (4 Credits)**

Analyze and graph algebraic expressions, especially conic sections. Develop an intuitive understanding of limits, derivatives and integrals. Apply the derivative and the integral to certain physical problems.

Prerequisites: (804-196 (may be taken concurrently) with a minimum grade of C or ALEKS Math Placement with a score of 76)

**804-199. Special Topics in Mathematics. (3 Credits)**

An individualized course to cover various concepts of mathematics to suit the needs of a student.

**804-201. Intermediate Algebra. (4 Credits)**

Learn to apply algebra content and gain an introduction to functions and complex numbers. Build upon the arithmetic of real numbers by using variable equations to solve problems. Topics include graphing and finding algebraic solutions for linear equations and inequalities, quadratic, exponential, polynomial, radical and rational equations.

Prerequisites: 834-110 (may be taken concurrently) with a minimum grade of C or COMPASS-Algebra Skills with a score of 42 or ACT-Math with a score of 21 or ASSET-Elementary Algebra with a score of 45 or Accuplacer Elementary Algebra55 or Next-Gen Accuplacer QR Algebra with a score of 260 or ALEKS Math Placement with a score of 30 or GED Math - 2014 Series with a score of 175

**804-211. Quantitative Reasoning. (3 Credits)**

Develop analytic reasoning and the ability to solve quantitative problems. Explore topics in numerical literacy, mathematical modeling and statistical analysis, including rates, ratios and proportions; construction and interpretation of graphs; descriptive and inferential statistics; linear and nonlinear modeling; and math of finance. An emphasis is placed on the appropriate use of units and dimensions, estimates, mathematical notation and available technology.

Prerequisites: 834-109 (may be taken concurrently) with a minimum grade of C or 804-304 (may be taken concurrently) with a minimum grade of C or 804-169A (may be taken concurrently) with a minimum grade of C or 854-752 with a minimum grade of B- or College Proficiency - Math or High School GPA 2.60 or Higher or COMPASS-Pre-Algebra with a score of 42 or ACT-Math with a score of 17 or ASSET-Numerical Skills with a score of 38 or Accuplacer Arithmetic with a score of 60 or Next-Gen Accuplacer Arithmetic with a score of 258 or ALEKS Math Placement with a score of 14 or GED Math - 2014 Series with a score of 165 or Next-Gen Accuplacer QR Algebra with a score of 241

**804-212. College Algebra. (3 Credits)**

Gain skills to succeed in Calculus and many application areas at the baccalaureate level. Explore topics including the real and complex number systems, polynomials, exponents, radicals, solving equations and inequalities, relations and functions, systems of equations and inequalities, graphing and conic sections.

Prerequisites: 804-118 (may be taken concurrently) with a minimum grade of C or 804-201 (may be taken concurrently) with a minimum grade of C or ALEKS Math Placement with a score of 46 or ACT-Math with a score of 24 or COMPASS-Algebra Skills with a score of 66 or Accuplacer College Level Math43 or Next-Gen Accuplacer AdvAlgebra with a score of 267

**804-213. Survey in Calculus. (4 Credits)**

Explore calculus topics with applications to business administration, economics and nonphysical sciences. Topics include coordinate systems, equations of curves, limits, differentiation, integration and applications.

Prerequisites: (804-195 (may be taken concurrently) with a minimum grade of C or ALEKS Math Placement with a score of 61)

**804-301. Applied Math. (2 Credits)**

Develop the calculating, measuring, and estimating skills used in the construction trades. Discuss topics such as calculations with whole numbers, fractions, and decimals; calculations using percents; measures of length, area, and volume; and the use of power and roots.

**804-304. Industrial Math I. (2 Credits)**

Explore the topics of applied arithmetic and algebra. Study concepts related to measurement, fractions, decimals, percents, ratio and proportion, signed numbers, formula substitution, solutions to equations, tapers and gears. Calculate the areas and volumes of common geometric shapes.

Prerequisites: (High School GPA 2.60 or Higher or College Proficiency - Math or COMPASS-Pre-Algebra with a score of 25 or 854-793 (may be taken concurrently) with a minimum grade of S or ACT-Math with a score of 14 or ASSET-Numerical Skills with a score of 32 or Accuplacer Arithmetic34 or Next-Gen Accuplacer Arithmetic with a score of 210 or ALEKS Math Placement6)

**804-305. Industrial Math II. (2 Credits)**

Examine topics in geometry and trigonometry that are related to the metalworking trades. Practice applying geometric theorems and solving both right and oblique triangle problems.

Prerequisites: (804-304 (may be taken concurrently) with a minimum grade of D-)

**804-306. Industrial Math III. (2 Credits)**

Learn the problem-solution techniques of advanced applied trigonometry, and become familiar with solving compound angle problems.

Prerequisites: (804-305 with a minimum grade of D- or 804-107 with a minimum grade of D-)

**804-308. Math for the Trades. (1 Credit)**

Become more efficient with everyday basic math skills used in any trade: calculating, measuring and estimating. Apply mathematical problem-solving techniques to real-life problems aimed toward the trades using fractions, area, perimeters, volumes and more. Engage with situations involving terminology and applications used in the trade programs.

**804-310. Math for Industry. (2 Credits)**

Review and develop fundamental concepts of mathematics related to arithmetic, algebra, geometry, trigonometry and statistics. Develop problem-solving, critical thinking and logical reasoning skills. Topics include simplifying algebraic expressions, applications of linear equations and inequalities in one variable, graphing linear equations and inequalities in two variables, computing the area and volume of geometric figures, applications of right and oblique triangles, and analyzing statistical data.

Prerequisites: (High School GPA 2.60 or Higher or College Proficiency - Math or COMPASS-Pre-Algebra with a score of 42 or ACT-Math with a score of 17 or ASSET-Numerical Skills with a score of 38 or Accuplacer Arithmetic60 or ALEKS Math Placement with a score of 14 or GED Math - 2014 Series with a score of 165 or Next-Gen Accuplacer Arithmetic with a score of 258 or 804-169A with a minimum grade of C or Next-Gen Accuplacer QR Algebra with a score of 241 or 804-304 with a minimum grade of C or 854-752 with a minimum grade of B- or 834-109 (may be taken concurrently) with a minimum grade of C)

**804-504. Industrial Math I. (1 Credit)**

Explore the topics of applied arithmetic and algebra. Study concepts related to measurement, fractions, decimals, percents, ratio and proportion, signed numbers, formula substitution, solutions to equations, tapers and gears. Calculate the areas and volumes of common geometric shapes.

**804-505. Industrial Math II. (1 Credit)**

Examine topics in geometry and trigonometry that are related to the metalworking trades. Practice applying geometric theorems and solving both right and oblique triangle problems.

Prerequisites: (804-504 with a minimum grade of D- or 804-304 with a minimum grade of D-)

**804-991. Mathematics Elective. (1-5 Credits)**

This is a mathematics elective to recognize transfer credit.

**804-993. Mathematics Elective. (1-5 Credits)**

This is a mathematics elective to recognize transfer credit.