MAT*H095
Elementary Algebra Foundations
3 cr.
Credits
Prerequisite: Successful completion of EDUC 5016 (Transitional PreAlgebra) or an appropriate score on a college placement exam. The course begins with a brief review of basic computational skills and operations with signed numbers. Algebraic order of operations and evaluation and simplification of algebraic expressions are followed by techniques for solving first degree equations and inequalities in one unknown. Also included in this course are algebraic methods for solving applications involving one and two unknowns. Basic rules of exponents are presented and scientific notation is discussed. This is followed by the basic polynomial operations and graphing linear equations in two unknowns, finding slopes of lines, x and y intercepts, and writing the equations of lines. This will not fulfill a mathematics requirement in any degree program.
MAT*H121
Applications for Business and Other Careers
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H094 (Introductory Algebra) or MAT*H095 (Elementary Algebra) or an appropriate score on a college placement exam. Enrollment in MAT*H121 is restricted to specific programs. Topics covered include arithmetic and algrebraic operations, statistics, graphs, and tables. This course emphasizes specific mathematical applications for each discipline.
MAT*H135
Topics in Contemporary Mathematics
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H094 (Introductory Algebra) or MAT*H095 (Elementary Algebra) or an appropriate score on a college placement exam. A practical course offering an exposure to a wide range of topics with an emphasis on critical thinking, problem solving and the real number system. Topics include number theory, financial management, set theory, metric system and statistics. This course will not satisfy the General Education mathematics requirement at CT State Universities.
MAT*H137
Intermediate Algebra
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H094 (Introductory Algebra) or MAT*H095 (Elementary Algebra) or an appropriate score on a college placement exam. The main themes of Intermediate Algebra are functions, represented by tables, graphs, and rules, and problem solving. The study of polynomial functions is extended via applications involving linear functions, linear systems, and quadratic functions. Students also study exponential functions, rational functions, radical functions, and absolute value functions. Computer component required; TI83 (Plus) or TI84 (Plus) or online graphing utility required. This may be used as a general elective; this will not fulfill a mathematics requirement in any degree program.
MAT*H143
Math for Elementary Ed:
Algebra, Number Systems
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H136 (Intermediate Algebra with lab) or MAT*H137 (Intermediate Algebra) 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 conceptual and relational understanding of the real numbers, including the subsets of whole numbers, integers, rational and irrational numbers, with an emphasis on place value and the associated operations. Topics from numeration systems, number theory, and set theory will be developed as needed, with regular use of manipulatives and technology.
MAT*H144
Math for Elementary Ed: Geometry, Data
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H136 (Intermediate Algebra with lab) or MAT*H137 (Intermediate Algebra) 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 problemsolving approach, and incorporating an extensive use of manipulatives and geometric software. Mathematical discourse is encouraged through cooperative learning and written communication.
MAT*H146
Math for the Liberal Arts
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H136 (Intermediate Algebra with lab) or 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.
MAT*H167
Principles of Statistics
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H136 (Intermediate Algebra with lab) or MAT*H137 (Intermediate Algebra) or an appropriate score on a college placement exam. This technologybased 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 are introduced. As time permits, statistical inference techniques for proportion, variance and the difference of means will be presented.
MAT*H170
Math Education in Practice
1 cr.
Credits
Prerequisite: Grade of “B” or better in MAT*H172 with two letters of recommendation from 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 14 weeks in the Academic Center for Excellence at Naugatuck Valley Community College under the supervision of a math instructor. The course may be taken up to three times for a maximum of 3 credit hours.
MAT*H172
College Algebra
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H136 (Intermediate Algebra with lab) or 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.
MAT*H185
Trigonometric Functions
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H172 (College Algebra) or an appropriate 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.
MAT*H232
Applied Calculus
4 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H172 (College Algebra) or an appropriate 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, tangient problems, continuity, limits, derivatives, and integrals.
MAT*H254
Calculus I
4 cr.
Credits
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.
MAT*H256
Calculus II
4 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H254 (Calculus I). A second course 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.
MAT*H268
Calculus III: Multivariable
4 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H256 (Calculus II). A course in multivariable calculus for mathematics or science majors. Topics include conic sections, plane curves, parametric equations and polar coordinates, vectors and solid analytic geometry, vectorvalued functions, functions of several variables, partial differentiation, and multiple integration.
MAT*H285
Differential Equations
3 cr.
Credits
Prerequisite: Grade of “C” or better in MAT*H268 (Calculus III: Multivariable). Study of ordinary differential equations. Equations studied include the following: firstorder linear, separable equations; exact equations; homogeneous linear equations of first or higher order with constant coefficients; auxiliary equations with complex roots; and nonhomogeneous equations. Solutions of initial value problems with associated
applications are studied. Techniques used include linear differential operators, the method of undetermined coefficients, variation of parameters, and Laplace transforms.
