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Course Criteria
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3.00 Credits
Mathematics for Elementary Education II (formerly MATH-H144) 3 cr. Prerequisite: Grade of "C" or better in MAT*H137 or an appropriate score on a college placement exam. This course is designed for students planning to become certified in early childhood, elementary or middle school level education. Problem solving strategies will be developed and integrated throughout, in accordance with the NCTM Principles and Standards for School Mathematics. Topics include probability, statistics, and geometry concepts presented through a problem-solving approach, and incorporating an extensive use of manipulatives and geometric software. Mathematical discourse is encouraged through cooperative learning and written communication.
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3.00 Credits
Prerequisite: Grade of "C" or better in MAT* H137 (Intermediate Algebra) or an appropriate score on a college placement exam. This is a survey course designed to acquaint the liberal arts student with a broad spectrum of mathematical ideas not emphasized in traditional algebra courses. As a terminal mathematics course, it conveys the nature and diversity of mathematics, its methods, applications, and roles in society. Topics are selected from problem solving and critical thinking skills, graph theory, voting and apportionment, introduction to probability, linear programming, patterns and symmetry, linear and exponential applications; others may include fractal geometry, financial management, fair division schemes, game theory, or codes.
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3.00 Credits
(formerly MATH-H111) 3 cr. Prerequisite: Grade of "C" or better in MAT*H137 (Intermediate Algebra)or an appropriate score on a college placement exam. A foundation course in Euclidean geometry using an axiomatic as well as an inquiry approach. Topics include inductive and deductive reasoning, logic, polygons, parallelism, congruence, similarity, coordinate geometry, direct, indirect and coordinate proof, and three-dimensional space. A brief introduction to non-Euclidean geometry will be presented if time permits. As appropriate, computer software is used to encourage exploration and promote the formulation of hypotheses.
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3.00 Credits
Statistics with Technology (formerly MATH-H108) 3 cr. Prerequisite: Grade of "C" or better in MAT*H137 (Intermediate Algebra)or an appropriate score on a college placement exam. This technology-based course begins with an introduction to data analysis including techniques in the presentation of data and in the determination of statistical measures for central tendency and variation. The topics of linear correlation and regression are explored in the analysis of bivariate data. The basics of probability are presented prior to a thorough examination of discrete and continuous probability distributions. Emphasis is placed on the binomial and normal distributions. Estimation and hypothesis testing for population means is introduced. As time permits, statistical inference techniques for proportion, variance and the difference of means will be presented.
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1.00 Credits
1 cr. Prerequisite: Grade of "B" or better in MAT*H172 with two letters of recommendationfrom instructors at NVCC and permission of the Division Director, Math Department Chair, or Math Lab Supervisor. This course provides students the opportunity to develop their communication skills in mathematics. Students will assist and tutor peers in mathematics using appropriate technology for a minimum of three hours per week for 15 weeks in the Pronovost Math Lab at Naugatuck Valley Community College under the supervision of an instructor. The course may be taken up to three times for a maximum of 3 credit hours.
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3.00 Credits
(formerly MATH-H113) 3 cr. Prerequisite: Grade of "C" or better in MAT*H137 (Intermediate Algebra)or an appropriate score on a college placement exam. This course offers the student the development of numeric, algebraic, and graphic problem solving techniques beyond the intermediate level. Techniques are developed to solve equations and inequalities involving polynomials, radicals and rational expressions. Polynomial, inverse, rational, exponential, and logarithmic functions are studied and their applications are explored both algebraically and graphically.
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3.00 Credits
(formerly MATH-H117) 3 cr. Prerequisite: Grade of "C" or better in MAT*H172 (College Algebra) or anappropriate score on a college placement exam. This course offers the student a development of trigonometry through a functional approach. The trigonometric functions are considered as circular functions with applications of these to the solution of triangulation problems. Topics include trigonometric identities, inverse trigonometric functions, oblique triangle trigonometry and the graphs of the trigonometric functions. Vectors will be introduced and the polar coordinate system will also be considered.
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3.00 Credits
(formerly MATH-H120) 3 cr. Prerequisite: Grade of "C" or better in MAT*H172 (College Algebra) or anappropriate score on a college placement exam. The purpose of this course is to acquaint students not majoring in mathematics or science with a body of mathematical knowledge that may well demand investigation in view of their various academic goals. Topics covered include function theory, inequalities, tangent problems, continuity, limits, derivatives, and integrals.
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4.00 Credits
(formerly MATH-H205) 4 cr. Prerequisite: Grade of "C" or better in MAT*H185 (Trigonometric Functions)or an appropriate score on a college placement exam. A four semester hour course intended to provide the necessary preparation for advanced mathematics and science courses as requirements for all mathematics/science majors. The course begins with a review of the properties of absolute value and inequalities and other algebraic topics. Functions, limits, and continuity are thoroughly covered along with the derivatives. Formulas for calculating derivatives are presented, along with geometrical and physical applications. The antiderivative is introduced along with the definition of the differential and some applications. The course concludes with an introduction to the definite integral and its geometric meaning.
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4.00 Credits
(formerly MATH-H206) 4 cr. Prerequisite: Grade of "C" or better in MAT*H254 (Calculus I ) A secondcourse in calculus for mathematics or science majors. Topics include the definite integral and applications of the definite integral to areas, volumes, and length of arc of a plane curve. Also considered are logarithmic and exponential functions, trigonometric functions, inverse trigonometric functions and various techniques of integration. Limits involving indeterminate forms and improper integrals are also discussed. The course concludes with an introduction to infinite series.
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