College Catalog - Course Descriptions

Math placement tests are required of all students who wish to enroll in their first math course at CCRI. Students are required to take the placement test either before or at the beginning of the semester in which they wish to take their first math course. Students who are not enrolled in a math course but want to plan for the future are encouraged to take the placement test during the semester prior to enrolling in a math course.

Placement test preparation assistance is available here.

**Note:** Developmental math courses are designed to build/refresh basic mathematical skills
which provide the necessary background for college-level mathematics courses. All
students must demonstrate mental calculation skills and mastery of course content
to complete the courses successfully.

College-level math courses require the use of mental calculation skills since each course builds upon the material learned in the prerequisite courses.

Students with a documented disability should meet with a representative from the Office of Disability Services for Students. CCRI will make modifications to academic requirements where appropriate and provide the necessary accommodations to ensure accessibility. The institution cannot, however, make modifications that would substantially change the essential elements of the curriculum. While striving to meet the individual needs of all students, CCRI reserves the right to set and maintain academic standards for performance and personal conduct.

**Here are links to grids of our math courses for Fall 2018:**

**Math Course Flow Chart for STEM**

Picking the right math courses to start your academic career at CCRI can help you move more quickly towards graduating, transferring, or moving into a career.

If you’re interested in a career or transfer program use this page to help choose your path.

In-house credits are counted for full- and part-time status and for reasons of financial aid and academic progress. They are not counted in overall GPA, do not count toward any degree or certificate and will appear on student transcripts as “exclude credit.”

Prerequisites for each course are fulfilled only by a grade of C or better or by a sufficient placement test score. The Math Department strongly recommends courses and their prerequisites be taken sequentially in consecutive sessions.

This course provides active support for students taking Math 1200C through the use of a just in time remediation approach. Students in this class will also be taking Math 1200C with the same instructor concurrently. The additional two hours per week allows for time to practice what has been learned in Math 1200C and it allows for more question and answer sessions. Instructors may use the class time for supplementary instruction, group work or one on one support. (Note: Grades in MATH 0200C will be assigned on a Pass/Fail basis. Corequisite: MATH 1200C). Lecture: 2 hours.

This course provides active support for students taking Math 1139C through the use of a just in time remediation approach. Students in this class will also be taking Math 1139C with the same instructor concurrently. The additional two hours per week is used to review and develop key mathematical skills necessary to fully succeed in Math 1139C. (Note: Grades in MATH 0239C will be assigned on a Pass/Fail basis. Corequisite: MATH 1139C). Lecture: 2 hours

This course provides active support for students taking Math 1175C through the use of a just in time remediation approach. Students in this class will also be taking Math 1175C with the same instructor concurrently. The additional two hours per week is used to review and develop key mathematical skills necessary to fully succeed in Math 1175C. (Note: Grades in MATH 0275C will be assigned on a Pass/Fail basis. Corequisite: MATH 1175C). Lecture: 2 hours.

This course deals with the fundamentals of logic, set theory, probability and statistics. Note: This course is only intended for students that have completed MATH 0099 and need co-requisite support. (Prerequisite: Math 0099 with a grade of C or better or placement into ACCUPLACER Grid 2. Corequisite: MATH 0239C.) Lecture: 3 hours.

Statistical procedures required for the analysis of data are explored using data acquired from such fields as medicine, social work, biology, education and business and employing statistical packages as a tool. Note: This course is only intended for students that have completed MATH 0099 and need co-requisite support. (Prerequisite: Placement in ACCUPLACER Grid 2 or MATH 0099 with a grade of C or better. Corequisite: MATH 0275C.) Lecture: 3 hours.

Designed for students who eventually plan to study quantitative business analysis or calculus, this course covers functions and graphs, systems of equations and inequalities, quadratic equations, polynomial and rational expressions, radical, exponential and logarithmic forms. (Prerequisite: Placement in ACCUPLACER Grid 3 or MATH 0100. with a grade of C or better. Corequisite: MATH 0200C). Lecture: 4 hours.

MATH 0095 is the course students enroll in if they wish to complete their developmental mathematics requirements in the emporium. Students will progress through course modules under the supervision of a faculty member. Students will be awarded credit for MATH 0099, MATH 0100 or MATH 0101 depending on how much progress the student makes in the emporium. (Prerequisites: Completion of, or concurrent enrollment in, ENGL 0850 earning a C or better; or, placement into ENGL 0890 or higher.) Emporium: 4 hours. - Bookstore Course Materials: $95

This course provides a thorough foundation in the topics of whole numbers, fractions, decimals, ratios and proportions, percentages, and measurement. This course also introduces the real number system, and the properties for solving linear equations and inequalities. Emporium students who complete the modules for Math 0099 may complete additional modules to earn credit for MATH 0100 or MATH 0101. Students who complete MATH 0099 are eligible to take Math 0100, Math 1005, 1025, 1139C/0239C and 1175C/0275C. (Prerequisite: Placement in ACCUPLACER Grid 0 and Completion of, or concurrent enrollment in, ENGL 0850 earning a C or better; or, placement into ENGL 0890 or higher). Lecture or Emporium: 4 hours - Bookstore Course Materials: $95

This course provides a thorough foundation in the topics of whole numbers, fractions, decimals, ratios and proportions, percentages, and measurement. This course also introduces the real number system, the properties for solving linear equations and inequalities, the rearrangement of formulas, the rectangular coordinate system, and the graphs of linear equations in two variables as well as an introduction to basic probability and statistics. Non-STEM students who master this course are encouraged to enroll in MATH 1139 or MATH 1175. STEM students who master this course are encouraged to enroll in MATH 1200C with the corequisite, 0200C. (Prerequisite: Placement in ACCUPLACER Grid 1 or MATH 0099 with a grade of C or better and Completion of, or concurrent enrollment in, ENGL 0850 earning a C or better; or, placement into ENGL 0890 or higher). Lecture or Emporium: 4 hours. - Bookstore Course Materials: $95

This modular emporium course contains additional modules beyond those required for MATH 0099 and MATH 0100. This course serves as a remedial prerequisite to MATH 1200 and MATH 1179. Topics include the properties of exponents, and an introduction to polynomials, factoring, quadratic equations, rational expressions, rational equations, and application problems. (Prerequisite: Placement in ACCUPLACER Grid 2 or MATH 0100 with a grade of C or better and Completion of, or concurrent enrollment in, ENGL 0850 earning a C or better; or, placement into ENGL 0890 or higher). Emporium: 4 hours. - Bookstore Course Materials: $95

The application of elementary mathematics to business and retail situations is discussed. Topics include bank services, taxes, simple interest, compound interest, commercial discounts, markup and markdown. (Prerequisite: Placement in ACCUPLACER Grid 2 or MATH 0099 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1600.

This course studies in depth the topics of simple interest, bank discount, compound interest and annuities, including amortization and sinking funds. (Prerequisite: Placement in ACCUPLACER Grid 3 or MATH 0100 with a grade of C or better or MATH 1005 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1620.

Covering the development of the real number system and the fundamental concepts of algebra and geometry, this course is suitable for prospective elementary school teachers or anyone desiring an introduction to college mathematics. (Prerequisite: Placement in ACCUPLACER grid 2 or MATH 0099 with a grade of C or better.) Lecture: 3 hours. Formerly MATH 1420.

This course is designed primarily for the Liberal Arts student who does not plan to pursue any continuing mathematics program. Each semester, different sections focus on different topics and are announced in the online course listing published each semester. The depth of the material is similar to that of MATH 1139. Note: This course may be repeated for credit with a change of topic. (Prerequisite: MATH 1139 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1470.

This course deals with the fundamentals of logic, set theory, probability and statistics. (Prerequisite: Placement in ACCUPLACER Grid 3 or MATH 0100 with a grade of C or better or MATH 1025 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1430.

MATH 1143 is designed for students who plan to major in elementary education and ultimately become teachers in the PK-8 system. Topics will include sets, numbers and numeration, whole number computation, basic number theory, integers, fractions and rational numbers, decimals, and proportions. The focus in this class is on developing a deeper understanding as to why the operations in arithmetic work as they do, and using these operations to develop algorithms and models for use in problem solving. This class should not be seen as a simple review of foundational mathematics. Students will be expected to make reasoned and rigorous mathematical arguments with a strong emphasis on communicating mathematical ideas in written and verbal form. (Pre-requisite: Math 0100 with a grade of C or better.) Lecture: 4 hours

Topics covered in this course include ancient numeration systems; bases; modulo arithmetic; set theoretical and historical development of our number system including natural numbers; integers; rational, irrational, imaginary and complex numbers (with operations and computation within each system); groups and fields; and elementary number theory (basic proofs, divisibility rules, Pythagorean studies, Fermat and Mersenne numbers). Note: Recommended for future teachers. (Prerequisite: MATH 1139 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1450.

This course traces the development of mathematical thought through history. Topics include mathematicians, primitive number systems and algorithms, early formulas for area and volume, proofs of theorems, pi, the golden ratio, the development of advanced mathematics, the computer, calculus, network theory and non-Euclidean geometries. Note: Recommended for future teachers. (Prerequisite: MATH 1139 with a grade of C or better or placement in ACCUPLACER Grid 4). Lecture: 3 hours. Formerly MATH 1472

Statistical procedures required for the analysis of data are explored using data acquired from such fields as medicine, social work, biology, education and business and employing statistical packages as a tool. (Prerequisite: Placement in ACCUPLACER Grid 3 or MATH 0100 with a grade of C or better or MATH 1025 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1475.

This course is the first semester of a two-semester sequence covering the essentials of applied technical mathematics. Topics include the basics of working with numerical data, plane and solid geometric shapes, an introduction to functions and their graphs, factoring, operations with algebraic fractions, quadratic equations with real roots, an introduction to the trigonometric functions of acute angles, solving problems involving right triangles, expressions involving rational exponents and base ten logarithms. (Prerequisite: Placement in ACCUPLACER Grid 3 or MATH 0101 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1750

This course is the second semester of a two-semester sequence covering the essentials of applied technical mathematics. Topics include graphing linear equations, solving systems of linear equations, using trigonometry to solve problems involving vectors, graphical analysis of waveforms, working with radical expressions, the complex numbers and their application to AC circuits, an introduction to statistics and some miscellaneous topics involving nonlinear equations. (Prerequisite: Placement in ACCUPLACER Grid 4 or MATH 1179 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1760.

Designed for students who eventually plan to study quantitative business analysis or calculus, this course covers functions and graphs, systems of equations and inequalities, quadratic equations, polynomial and rational expressions, radical, exponential and logarithmic forms. (Prerequisite: Placement in ACCUPLACER Grid 4 or MATH 0101 with a grade of C or better). Lecture: 4 hours.

This course offers instruction in scientific programming using a current programming language. Problems, both numerical and non-numerical, are programmed and solved by use of a mainframe and/or personal computers. (Prerequisite: MATH 1200 or 1179 with a grade of C or better or placement in ACCUPLACER Grid 5). Lecture: 3 hours, Lab: 1 hour. Formerly MATH 1510.

An introduction to elementary statistics, this course covers methods used in the collection, presentation, analysis and interpretation of data. Topics include frequency distributions, measures of central tendency and dispersion and sampling, with emphasis on estimation and hypothesis testing. (Prerequisite: Placement in ACCUPLACER Grid 5 or MATH 1200 with a grade of C or better or MATH 1179 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1550.

This course includes a study of simple and multiple linear regression, curvilinear regression, correlation analysis, basic designs of experiments, analysis of variance and an introduction to the concepts of time series and index numbers. A statistical package is used in the development and application of topics. (Prerequisite: MATH 1240 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1560.

The purpose of this course is to develop the quantitative methods needed to solve various problems in business and economics. Topics include functions and graphs, systems of linear equations, linear programming, matrices and determinants, logarithmic and exponential functions and the mathematics of finance. (Prerequisite: Placement in ACCUPLACER Grid 5 or MATH 1200 with a grade of C or better). Lecture: 3 hours. Formerly MATH 1670.

MATH 2103 is intended for students in the life and social sciences, and any other areas where the application of mathematics is important. Students in this course will develop an understanding of functions and how they are used to model real world phenomena, including but not limited to change, motion and growth. The linear, quadratic, power, polynomial, rational, exponential, logarithmic, and periodic functions are studied in this course. Students will become familiar with algebraic, numerical and graphical properties of these functions. This course is not intended for students planning to study mathematics, statistics, computer science, physical sciences, engineering or any other discipline requiring the complete calculus sequence. MATH 2103 is not an alternative to MATH 2111 (Precalculus) and does not satisfy the requirement for MATH 2141 (Calculus I). (Prerequisite: Placement in ACCUPLACER Grid 6 or MATH 1200 with a grade of C or better).Lecture: 4 hours

Designed for students who plan to study calculus eventually, this course deals with trigonometry from an analytical approach. Topics include relations and functions in general, the trigonometric functions and their inverses, graphs, solutions of triangles, vectors, trigonometric identities and equations, and applied problems. (Prerequisite: Placement in ACCUPLACER Grid 6 or MATH 1200 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1210.

Functions and their graphs are discussed with particular attention paid to polynomial, rational, trigonometric, exponential and logarithmic functions. Determinants, matrices, complex numbers and analytic geometry are also studied. (Prerequisite: Placement in ACCUPLACER Grid 7 or MATH 2110 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1900.

This course is intended for students in the life and social sciences who have taken Math 2103 . The differential and integral calculus are developed with an emphasis on solving real world problems in the sciences. Limits, derivatives and integrals of algebraic, logarithmic, exponential and trigonometric functions are studied. Applications will include analyzing graphs, finding maximum and minimum values of functions, calculating rates of change and computing areas and cumulative change. This course is not intended for students planning to study mathematics, statistics, computer science, physical sciences, engineering or any other discipline requiring the complete calculus sequence. MATH 2131 is not an alternative to MATH 2141 (Calculus I) and does not satisfy the prerequisite for MATH 2142 (Calculus II). (Prerequisite: Placement in ACCUPLACER Grid 8, MATH 2111 or MATH 2103 with a grade of C or better). Lecture: 4 hours

Differential and integral calculus are developed with special emphasis on practical applications to business and economics. (Prerequisite: MATH 2077 with a grade of C or better or placement in ACCUPLACER Grid 6). Lecture: 3 hours. Formerly MATH 1680.

Topics considered in this first course of differential and integral calculus include limits and continuity, first and higher-order derivatives with applications (including curve sketching), the differential and definite and indefinite integrals with applications (including areas and volumes). (Prerequisite: Placement in ACCUPLACER Grid 8 or MATH 2111 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1910.

This course covers the calculus of logarithmic, exponential, trigonometric, inverse trigonometric and hyperbolic functions. Some methods of integration are covered, including integration by parts and numerical methods. L’Hospital’s rule, improper integrals, infinite series and the calculus in polar coordinates also are introduced. (Prerequisite: MATH 2141 with a grade of C or better). Lecture: 4 hours. Formerly MATH 1920.

This course covers the calculus of three-dimensional space, including partial derivatives, multiple integrals and the calculus of vector-valued functions. (Prerequisite: MATH 2142 with a grade of C or better). Lecture: 4 hours. Formerly MATH 2910.

This course covers first-order ordinary differential equations, second-order linear differential equations, Laplace transforms and power series solutions. A unit on applied linear algebra is also included. (Prerequisite: MATH 2243 with a grade of C or better). Lecture: 4 hours. Formerly MATH 2990.

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