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Current additions and corrections are marked with this "Revised" icon and displayed in RED text. |
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Items marked with this "Fall 2004" icon are effective Fall '04. |
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Mathematics (MATH) |
Sequences of Mathematics Courses:
Math Placement Test – Required of all students who wish to enroll in their first math course at CCRI
Proper placement represents a significant step towards success in the study of mathematics. The College offers placement testing in order to help students determine the mathematics course(s) in which to enroll. The test is offered through the testing center and through the Math Lab. Students are required to take the test either before or at the beginning of the session in which they wish to take a 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 session prior to registering for a math course.
Allied Health / Dental / Nursing / Rehabilitative Health Students
A placement test offered through the College Testing Center and through the Math Lab is required. The score you earn on this test will determine your readiness for the program in which you choose to enroll. If you do not meet the requirements of the program, you will be required to enroll in mathematics courses which will help to improve your skills. Sample study materials are available on the CCRI web.
All courses / sections marked with an asterisk (*) are offered through the Mathematics Lab or through the lecture format. In the Lab instructors guide and assist students by answering individual questions and suggesting instructional strategies which should help increase the chances of mastering the required material. In addition, video / CD instruction as well as internet instruction is available in many courses. A complete description of the Math Lab instructional process is provided in the Math Lab Student Manual.
MATH 0500 – Arithmetic* - 3 Credits In-House
This non-credit course provides students with a thorough foundation in the topics of whole numbers, fractions, decimals, ratios and proportions, percents, geometric figures and measurement. Lecture: 3 hours
MATH 0600 – Elementary Algebra* - 3 Credits In-House
This non-credit course in basic algebra introduces the real number system, properties for solving linear equations and inequalities, formula re-arrangement, properties of and operations with polynomials, basic factoring, quadratic equations, operations with rational expressions, an introduction to roots and radicals, graphs of linear equations and an introduction to properties of right triangles. (Prerequisite: MATH-0500 or an appropriate placement-test score) Lecture: 3 hours
MATH 0700 – Geometry -3 Credits In-House
This non-credit course, designed for students with no previous exposure to the subject or in need of a review, develops the traditional topics of Euclidean geometry with proofs and constructions. If time permits, additional material on logic or analytic geometry may be presented. (Prerequisite: MATH 0600 or an appropriate placement-test score) Lecture: 3 hours
MATH 1200 – College Algebra* - 3 Credits
Designed for students who plan eventually 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: MATH 0600 with a grade of A, B or C, or an appropriate placement-test score) Lecture: 4 hours
MATH 1210 – College Trigonometry* - 3 Credits
Designed for students who plan eventually to study calculus, this course deals with trigonometry from an analytical approach. Topics covered include relations and functions in general, the circular functions, trigonometric functions and their inverses, graphs, solutions of triangles, vectors, trigonometric identities and equations and applied problems. (Prerequisite: MATH 1200 with a grade of A, B or C, or an appropriate placement-test score) Lecture: 4 hours
MATH-1420 – Introduction to College Mathematics - 3 Credits
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: MATH 0500 with a grade of A, B or C, or an appropriate placement-test score) Lecture: 3 hours
MATH-1430 – Mathematics for Liberal Arts Students* - 3 Credits
This course deals with the fundamentals of mathematics: logic, set theory, probability and statistics. Topics involving computers may be included. (Prerequisite: MATH 0600 with a grade of A, B or C; or MATH 1420 with a grade of A, B or C; or an appropriate placement-test score) Lecture: 3 hours
MATH-1450 – Development of the Number System - 3 Credits
Topics covered include: ancient numeration systems, bases, modulo arithmetic; set theoretical and historical development of our number system including natural numbers, integers, rationales, irrationals, imaginaries and complex numbers (with operations and computation within each system); groups and fields; elementary number theory (basic proofs, divisibility rules, Pythagorean studies, Format and Mersenne numbers.) Recommended for future teachers. (Prerequisite: MATH 1430) Lecture: 3 hours
MATH-1470 – Topics in Mathematics - 3 Credits
This course is designed primarily for the liberal-arts student who does not plan to pursue any continuing mathematics program. Each semester topics to be discussed in the various sections will be announced. The depth of the material will approximate that of MATH 1450. This course may be repeated for credit with a change of topic. (Prerequisite: MATH 1430) Lecture: 3 hours
MATH-1472 – History of Mathematics - 3 Credits
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. Recommended for future teachers. (Prerequisite: MATH 1430) Lecture: 3 hours
MATH-1475 – Statistics for the Social Sciences - 3 Credits
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: MATH 1430) Lecture: 3 hours
MATH-1510 – Scientific Programming - 3 Credits
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 main frame and/or microcomputers. (Prerequisite: any one of the following: MATH 1200, 1700, 1800, or an appropriate placement-test score) Lecture: 3 hours, Lab: l hour
MATH-1550 – Statistical Analysis I - 3 Credits
An introduction to elementary statistics, this course covers methods used in the collection, presentation, analysis and interpretation of data. Topics discussed include frequency distributions, measures of central tendency and dispersion, and sampling, with emphasis on estimation and hypothesis testing. (Prerequisite: any one of the following: MATH 1200, 1700, 1800, or an appropriate placement-test score) Lecture: 4 hours
MATH-1560 – Statistical Analysis II - 3 Credits
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 will be used in the development and application of topics. (Prerequisite: MATH 1550) Lecture: 3 hours
MATH-1600 – Business Mathematics* - 3 Credits
This course deals with the application of elementary mathematics to various areas of business and retail mathematics, including simple interest, bank discount, compound interest, commercial discounts, markup and markdown. (Prerequisite: MATH 0500 or an appropriate placement-test score) Lecture: 3 hours
MATH-1620 – Mathematics of Finance - 3 Credits
This course studies in depth the topics of simple interest, bank discount, compound interest and annuities, including amortization and sinking funds. (Prerequisite: MATH 0600 or 1600 or an appropriate placement-test score) Lecture: 3 hours
MATH-1670 – Quantitative Business Analysis I - 3 Credits
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: MATH 1200 or an appropriate placement-test score) Lecture: 3 hours
MATH-1680 – Quantitative Business Analysis II - 3 Credits
Differential and integral calculus are developed with special emphasis on practical applications to business and economics. (Prerequisite: MATH 1670) Lecture: 3 hours
MATH-1700 – Algebra for Technology* - 3 Credits
Topics considered in this course include linear equations and their graphs, systems of linear equations, quadratic equations, algebraic fractions, exponents radicals and logarithms. (Prerequisite: MATH 0600 with a grade of A, B, or C; or an appropriate placement-test score) Lecture: 4 hours
MATH-1710 – Trigonometry for Technology* - 3 Credits
This course treats from an applied point of view the trigonometric functions and their graphs, the solution of triangles, vectors, complex numbers, trigonometric identities and equations and applied geometric problems. (Prerequisite: MATH 1700) Lecture: 4 hours
MATH-1800 – Technical Mathematics I - 4 Credits
This course is an intensive survey of algebra and trigonometry for technology. Topics include functions and graphs, quadratic equations, systems of linear equations, exponents and radicals, logarithms, trigonometry and complex numbers. (Prerequisite: An appropriate placement-test score) Lecture: 4 hours
MATH-1810 –Technical Mathematics II - 4 Credits
This course covers DeMoivre’s Theorem, polar coordinates, plane analytic geometry and calculus with applications to technology. (Prerequisite: MATH 1800, or 1700 and 1710) Lecture: 4 hours
MATH-1900 – Pre-Calculus Mathematics* - 4 Credits
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: MATH 1200 and 1210 with a grade of A, B, or C; or an appropriate placement-test score) Lecture: 4 hours
MATH-1910 – Calculus I - 4 Credits
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: MATH 1900 with a grade of A, B, or C; or appropriate placement-test score) Lecture: 4 hours
MATH-1920 – Calculus II - 4 Credits
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 1910) Lecture: 4 hours
MATH-2910 – Calculus III - 4 Credits
This course covers the calculus of three-dimensional space, including partial derivatives, multiple integrals and the calculus of vector-valued functions. (Prerequisite: MATH 1920) Lecture: 4 hours
MATH-2990 – Advanced Engineering Mathematics - 4 Credits
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 2910) Lecture: 4 hours
