Mathematics Course Descriptions

**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**

**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**

**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**

**3 Credits**

Designed for students who plan eventually to study calculus, this course covers functions and graphs; systems of linear equations and inequalities; quadratic equations; polynomial and rational expressions; radical, exponential, and logarithmic forms.

(Prerequisite: MATH-0600 with a grade of A or B, or an appropriate placement-test score)

**Lecture: 4 Hours**

**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 or B; or an appropriate placement-test score)

**Lecture: 4 Hours**

**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 or B; or an appropriate placement-test score)

**Lecture: 3 Hours**

**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 or B; or MATH-1420 with a grade of A or B; or an appropriate placement-test score)

**Lecture: 3 Hours**

**3 Credits**

Topics covered include: ancient numeration systems, bases, modulo arithmetic; set theoretical and historical development of our number system including natural numbers, integers, rationals, irrationals, imaginaries, and complex numbers (with operations and computation within each system); groups and fields; elementary number theory (basic proofs, divisibility rules, Pythagorean studies, Fermat and Mersenne numbers.) Recommended for future teachers.

(Prerequisite: MATH-1430)

**Lecture: 3 Hours**

**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**

**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**

**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**

**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, MATH-1700, MATH-1800, or an appropriate placement-test score)

**Lecture: 3 Hours Lab: l Hour**

**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, MATH-1700, MATH-1800, or an appropriate placement-test score)

**Lecture: 4 Hours**

**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**

**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**

**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 MATH-1600 or an appropriate placement-test score)

**Lecture: 3 Hours**

**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**

**3 Credits**

Differential and integral calculus are developed with special emphasis on practical applications to business and economics.

(Prerequisite: MATH-1670)

**Lecture: 3 Hours**

**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**

**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**

**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**

**4 Credits**

This course covers DeMoivre's Theorem, graphs of the trigonometric functions, polar coordinates, plane analytic geometry, and calculus with applications to technology.

(Prerequisite: MATH-1800, or MATH-1700 **and** MATH-1710)

**Lecture: 4 Hours**

**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 MATH-1210 with a grade of A, B, or C; or an appropriate placement-test score)

**Lecture: 4 Hours**

**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 an appropriate placement-test score)

**Lecture: 4 Hours**

**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**

**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**

**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**

***Some sections of these courses are offered in lecture and some are offered in the
Math Lab **Not offered at the Warwick Math Lab**

This page developed and maintained by Mathematics. Send comments and suggestions to emadonna@ccri.edu .