# 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 42 or ACT-Math 17 or ASSET-Numerical Skills 38 or Accuplacer Arithmetic 060 or Next-Gen Accuplacer Arithmetic 258 or 804-169A with a minimum grade of C or 804-304 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 with a minimum grade of C or 804-123 with a minimum grade of C or COMPASS-Pre-Algebra 44 or ASSET-Numerical Skills 39 or ACT-Math 17 or Accuplacer Arithmetic 060 or Next-Gen Accuplacer Arithmetic 258)

**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 with a minimum grade of C or 834-110 with a minimum grade of C or COMPASS-Algebra Skills 46 or ASSET-Elementary Algebra 45 or ACT-Math 21 or ALEKS Math Placement 30 or Accuplacer Elementary Algebra 055 or Next-Gen Accuplacer QR Algebra 260)

**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 with a minimum grade of C or COMPASS-Algebra Skills 32 or ASSET-Elementary Algebra 40 or ACT-Math 18 or Accuplacer Elementary Algebra 055 or Next-Gen Accuplacer QR Algebra 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 66 or ACT-Math 23 or Accuplacer College Level Math 043 or Next-Gen Accuplacer AdvAlgebra 267 or ASSET-Elementary Algebra 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 46 or ASSET-Elementary Algebra 45 or ACT-Math 21 or ALEKS Math Placement 30 or 834-110 with a minimum grade of C or Accuplacer Elementary Algebra 055 or Next-Gen Accuplacer QR Algebra 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 42 or ACT-Math 17 or ASSET-Numerical Skills 38 or Accuplacer Arithmetic 060 or Next-Gen Accuplacer Arithmetic 258 or 804-169A 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 with a minimum grade of C or 804-118 with a minimum grade of C or COMPASS-Algebra Skills 46 or ASSET-Elementary Algebra 45 or ACT-Math 21 or Accuplacer Elementary Algebra 055 or Next-Gen Accuplacer QR Algebra 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 25 or 854-793 with a minimum grade of S or ACT-Math 14 or ASSET-Numerical Skills 32 or Accuplacer Arithmetic 034 or Next-Gen Accuplacer Arithmetic 210)

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

Apply integration techniques, partial derivatives, graphing conics, double integrals, polar coordinates and first- and second-order differential equations to problems in science and engineering.

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

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

Apply vectors and solid analytic geometry, vector-valued functions, series expansions, multiple line and surface integrals, and partial differentiation to problems in science and engineering.

Prerequisites: (804-156 with a minimum grade of C)

**804-169A. Fundamentals of Mathematics. (2 Credits)**

Review numerical processes including fractions, decimals, percents, proportions and the order of operations. Gain an introduction to algebraic concepts including operations with algebraic terms, solving linear equations and solving literal equations.

Prerequisites: (COMPASS-Pre-Algebra 25 or ASSET-Numerical Skills 32 or 854-793 with a minimum grade of S or Accuplacer Arithmetic 034 or Next-Gen Accuplacer Arithmetic 210 or ACT-Math 14)

**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 with a minimum grade of C or COMPASS-Algebra Skills 66 or ALEKS Math Placement 46 or ACT-Math 24 or Accuplacer College Level Math 043 or Next-Gen Accuplacer AdvAlgebra 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 with a minimum grade of C or ALEKS Math Placement 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 with a minimum grade of C or ALEKS Math Placement 76)

**804-199A. Special Topics in Mathematics. (1 Credit)**

Special Topics in Math is a one-credit, individualized course. Students must report to the Math Center (B110A) during the first week of the semester to complete paperwork, set up an attendance schedule, and begin the course. The required coursework will be assigned based on the student's previous math classes. Students will complete quizzes and tests for 3-4 chapters of Introductory Algebra, Intermediate Algebra, or Applied Trigonometry. In addition to the coursework requirement, students will need to attend the Math Lab for 36 hours. Both the coursework requirement and the attendance requirement must be completed in order to earn the credit.

**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 25 or 854-793 with a minimum grade of S or ACT-Math 14 or ASSET-Numerical Skills 32 or Accuplacer Arithmetic 034 or Next-Gen Accuplacer Arithmetic 210)

**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 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-)

**804-438A. Math Skills/Assemblers-Part 1. (0.25 Credits)**

This 8-hour course teaches Applied Math Skills Basics including practice with operations, decimal numbers, dimensional analysis, and ratio/proportions.

**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-)