"The great body of physical, a great deal of the essential
fact of financial science, and endless social and political
problems are only accessible and only thinkable to those who
have had a sound training in mathematical analysis, and the
time may not be very remote when it will be understood that
for complete initiation as an efficient citizen of one of the
new great complex world-wide states that are now developing,
it is as necessary to be able to compute, to think in averages
and maxima and minima, as it is now to be able to read and write."
– H.G. Wells

"Statistical thinking will one day be as necessary for efficient citizenship as the ability to read and write." – H.G. Wells

"Statistical thinking will one day be as necessary for efficient citizenship as the ability to read and write." – H.G. Wells

The following courses are offered by the mathematics department. See the
newspaper or WebAdvisor for the scheduling of specific courses.

## MATH–011## Prealgebra, Part I; 4 credits
This course covers the first half of the content of MATH 015
(the second half is covered by MATH 012). The MATH 011-–012
sequence prepares students for elementary algebra. In MATH
011, operations with whole numbers, fractions, and integers
will be reinforced through application problems. Other topics
include organizing data in tables and graphs, introduction
to probability, formulas, practical geometry, evaluating
algebraic expressions, expressing rules using variables
(input/output tables), absolute value, and solving simple
algebraic equations. This is a developmental course in the
basic skills and will not be counted towards degree
requirements. NOTE: Students taking MATH 011 may not enroll
simultaneously in any other math course.
(Prerequisite: None; placement is based on scores on the college placement test) |
## MATH–012## Prealgebra, Part II; 4 credits
This course covers the second half of the content of MATH 015
(the first half is covered by MATH 011). The MATH 011-–012
sequence prepares students for elementary algebra. MATH 012
begins with a brief review of MATH 011 and then covers
decimals, measurement and additional topics in geometry,
solving simple equations, introduction to statistics, percent,
ratio, and proportion. This is a developmental course in the
basic skills and will not be counted towards degree
requirements. Note: Students taking MATH 012 may not enroll
simultaneously in any other math course.
(Prerequisites: MATH 011) |

## MATH–015## Prealgebra; 4 credits
This course prepares students for elementary algebra.
Operations with whole numbers, fractions, decimals, and
integers are reinforced through application problems. Other
topics include organizing data in tables and graphs,
introduction to probability and statistics, formulas, ratio
and proportion, percent, practical geometry, evaluating
algebraic expressions, expressing rules using variables
(input/output tables), absolute value, and solving simple
algebraic equations. Some class time may be spent in the
Math Lab. This is a developmental course in the basic skills
and will not be counted towards degree requirements. NOTE:
Students taking MATH 015 may not enroll simultaneously in
any other math course.
(Prerequisites: None; placement is based on scores on the college placement test.) |
## MATH–021## Introductory Algebra; 4 credits
This course is an introduction to the concepts and methods
of algebra. Numerical, graphical, and symbolic tools and
techniques are used to apply algebra to real-–world situations.
Topics include creating and translating algebraic expressions,
solving linear equations, inequalities and formulas, graphing
and writing linear functions, and solving linear systems.
Applications are included throughout the course. This is a
developmental course in the basic skills and will not be
counted towards degree requirements. NOTE: Students taking
MATH 021 may not enroll simultaneously in any other math
course.
(Prerequisites: MATH 015 or MATH 012 or satisfactory completion of the college's basic skills requirement in computation.) |

## MATH–022## Algebra Skills; 3 credits
This course provides students who have completed MATH 021
with the necessary skills and concepts to continue the study
of algebra in MATH 151 or MATH 161. This course begins with
a review of MATH 021 and continues with polynomial and
exponential expressions, factoring, quadratic equations,
rational and radical expressions and equations. Problem
solving is stressed throughout the course. Problems are
approached from a variety of perspectives, including
graphical, numerical, verbal, and algebraic. A graphing
calculator is required -– the specific model is determined
by the department. This is a developmental course in the
basic skills and will not be counted towards degree requirements.
(Prerequisite: MATH 021) |
## MATH–025## Elementary Algebra; 4 credits
This course is a review of elementary algebra and requires
previous experience in algebra. The course is intended for
students who need to take MATH 151 or MATH 161. The topics
include linear equations and inequalities, functions and
function notations, graphs and equations of linear functions,
systems of linear equations, polynomial and exponential
expressions, factoring, quadratic equations, rational and
radical expressions and equations. Problem solving is
stressed throughout the course. Problems are approached
from a variety of perspectives, including graphical, numerical,
verbal, and algebraic. A graphing calculator is required -–
the specific model is determined by the department.
This is a developmental course in the basic skills and will
not be counted towards degree requirements. NOTE: Students
taking MATH 025 may not enroll simultaneously in any other
math course.
(Prerequisite: MATH 015 or MATH 012, or satisfactory completion of the college's basic skills requirement in computation.) |

## MATH–035## Geometry; 2 credits
This course is for students who have not had a recent course
in plane geometry and who plan to take trigonometry and/or
calculus or need a course in geometry to meet the entrance
requirements for another college. Topics include the fundamental
definitions and concepts of plane geometry, methods of proof,
and some topics from solid geometry. Problems will be
approached from geometric and algebraic perspectives. Throughout
the course, emphasis will be placed on hands-–on activities
and problem solving. This is a developmental course in the
basic skills and will not be counted towards degree requirements.
NOTE: MATH 035 is offered only in the Winterim term.
(Prerequisite: MATH 022 or MATH 025, or satisfactory completion of the college's basic skills requirement in algebra.) |
## MATH–131 (M)## Statistics; 4 credits
This course begins with descriptive statistics, including
graphical representations of data and measures of central
tendency, position and variation. Basic probability concepts
lead to the study of the binomial and normal probability
distributions. The course continues with the Central Limit
Theorem and its use in the development of estimation through
confidence intervals and hypothesis testing. The course
concludes with Chi Square tests and linear correlation and
regression. Computer software will be used in class to gain
a greater understanding of underlying concepts.
(Prerequisite: MATH 021or MATH 025 or satisfactory completion of the college's basic skills requirement in algebra.) |

## MATH–136 (M)## Mathematics for the Liberal Arts; 3 credits
This is a survey course with topics chosen from problem solving,
sets, logic, numeration systems, geometry, probability and
statistics, consumer mathematics, graph theory, and voting theory.
(Prerequisite: MATH 021 or MATH 025, or satisfactory completion of the college's basic skills requirement in algebra.) |
## MATH–137 (M)## Finite Mathematics; 3 credits
This course contains topics chosen from linear functions,
matrices, linear programming, sets, probability theory, game
theory, and Markov chains. Mathematical models will be used
to solve problems in business and the social and behavioral
sciences. Computer software will be used in class to gain
a greater understanding of underlying concepts through graphs
and specialized programs.
(Prerequisite: MATH 021 or MATH 025, or satisfactory completion of the college's basic skills requirement in algebra.) |

## MATH–145 (M)## Algebraic Modeling; 4 credits
This course is an intermediate algebra course in which
examples are drawn from real life and skills are learned in
the context of these applications. Topics include functions
and their properties and associated algebraic skills, and
modeling using linear, exponential, logarithmic, quadratic,
rational, and radical functions. Problems are approached
from a variety of perspectives, including graphical, numerical,
verbal, and algebraic. A graphing calculator is required -–
the specific model is determined by the department. The
course may be used as a prerequisite for MATH 146 and MATH
156 but NOT MATH 152 or MATH 153.
(Prerequisites: MATH 021 or MATH 022 or MATH 025 or satisfactory completion of the college's basic skills requirement in algebra.) |
## MATH–146 (M)## Advanced Topics in Mathematics for the Liberal Arts; 4 credits
This is a survey course with topics chosen from the mathematics
of voting, fair division, apportionment, Euler circuits, the
Traveling Salesman Problem, networks, scheduling, symmetry,
and fractal geometry. NOTE: MATH 146 is offered only in the
Spring and Summer II terms.
(Prerequisite: A grade of C or higher in MATH 145 or MATH 151.) |

## MATH–151 (M)## Intermediate Algebra; 4 credits
This course prepares students for courses that require
algebraic skills beyond those taught in Elementary Algebra.
Topics include equations, inequalities, linear systems in
two and three variables, complex numbers, and applications
of functions: linear, exponential, logarithmic, quadratic,
polynomial, rational, and radical. In addition, the course
provides a basic introduction to right triangle trigonometry,
vectors, and the Laws of Sines and Cosines. Problems are
approached from a variety of perspectives, including graphical,
numerical, verbal, and algebraic. A graphing calculator is
required -– the specific model is determined by the department.
(Prerequisite: MATH 022 or MATH 025 or satisfactory completion of the college's basic skills requirement in algebra.) |
## MATH–152 (M)## Trigonometry; 3 creditsThis course, followed by MATH 153, prepares students for the study of calculus. Topics include functions and function notation, rate of change and linear functions, transformations of functions, a review of right triangle trigonometry, graphing trigonometric functions, applications leading to sinusoidal graphs, trigonometric functions through the unit circle, some basic identities, solving equations, identities as tools for rewriting trigonometric expressions, the double and half-angle identities, quadratic functions, power functions, and polynomial functions. Problems are approached from a variety of perspectives, including graphical, numerical, verbal, and algebraic. A graphing calculator is required – the specific model is determined by the department. (Prerequisites: MATH 035 and a grade of C or higher in MATH 151) |

## MATH–153 (M)## Pre-–Calculus Mathematics; 4 credits
This course, along with MATH 152, prepares students for a
college level calculus sequence. Special emphasis is placed
on functions as mathematical models, and algebraic skills
are treated in context. Topics studied include functions and
their graphs and properties, and the functions studied include
linear, exponential, logarithmic, polynomial, rational,
trigonometric, and inverse trigonometric. Problems are
approached from a variety of perspectives, including graphical,
numerical, verbal, and algebraic. A graphing calculator is
required -– the specific model is determined by the department.
(Prerequisite or Corequisite: MATH 152 may be taken concurrently with MATH 153. A grade of C or higher in MATH 152 is required as a prerequisite.) |
## MATH–156 (M)## Mathematics for Management and the Social Sciences; 3 credits
This course prepares students for a college level business
calculus course. Functions and their graphs are studied,
including polynomial, rational, exponential, and logarithmic
functions. Topics also include systems of linear equations,
matrix algebra, linear programming (graphical solution and
simplex method) and the mathematics of finance. All topics
include applications in the management, life and social sciences.
Computer software will be used in class to gain a greater
understanding of underlying concepts.
(Prerequisite: A grade of C or higher in MATH 145 or MATH 151.) |

## MATH–161 (M)## Technical Mathematics I; 4 credits
This is the first of three courses (followed by Math 162 and
Math 263) intended specifically for students of the various
technology programs offered at Brookdale Community College.
Topics to be studied in MATH 161 include significant digits,
linear and quadratic functions, laws of exponents and roots,
linear systems in two and three variables, determinants,
triangle trigonometry (including the Laws of Sines and Cosines),
the trigonometric functions, vectors, and the complex number
system. Problems are approached from a variety of perspectives,
including graphical, numerical, verbal, and algebraic.
A graphing calculator is required -– the specific model is
determined by the department.
(Prerequisite: MATH 022 or MATH 025 or satisfactory completion of the college's basic skills requirement in algebra.) |
## MATH–162 (M)## Technical Mathematics II; 4 credits
This is the second of three courses (after MATH 161 and
before MATH 263) intended specifically for students of the
various technology programs offered at Brookdale Community
College. Topics to be studied in MATH 162 include a continued
refinement of algebra skills, exponential, logarithmic, and
inverse trigonometric functions, trigonometric identities,
variation, conic sections, polar coordinates, and topics in
statistics. Problems are approached from a variety of perspectives,
including graphical, numerical, verbal, and algebraic. A
graphing calculator is required -– the specific model is
determined by the department. NOTE: MATH 162 is offered only
in the Fall.
(Prerequisites: A grade of C or higher in MATH 161 or MATH 152.) |

## MATH–171 (M)## Calculus I; 4 credits
This is a first semester scientific calculus course and the
topics include limits, continuity, derivatives and their
applications, and integrals, including the Fundamental Theorems.
Algebraic, trigonometric, inverse trigonometric, exponential,
and logarithmic functions will be studied. Problems are
approached from a variety of perspectives, including graphical,
numerical, verbal, and algebraic. Computer software will be
used extensively in class to gain a greater understanding of
concepts as well as to consider non-routine problems.
(Prerequisite: A grade of C or higher in MATH 153 and MATH 152.) |
## MATH–172 (M)## Calculus II; 4 credits
This course is a continuation of MATH 171, Calculus I. Topics
include applications of the definite integral, such as area,
volume, arc length, and average value, techniques of integration
with emphasis on substitution and integration by parts,
approximate integration and error formulas, differential
equations and applications to growth and decay, infinite
sequences and series, power series, and Taylor series. Problems
are approached from a variety of perspectives, including
graphical, numerical, verbal, and algebraic. Computer software
will be used extensively in class to gain a greater understanding
of concepts as well as to consider non–routine problems.
(Prerequisite: A grade of C or higher in MATH 171.) |

## MATH–176 (M)## Calculus With Business Applications; 4 credits
This course covers differential and integral calculus with
applications in business, economics, and the life sciences.
Topics include functions and their graphs, constructing
mathematical models, the derivative and its applications,
the integral and its applications and exponential and logarithmic
functions. Problems are approached from a variety of perspectives,
including graphical, numerical, verbal, and algebraic through
the use of computer software in class.
(Prerequisite: A grade of C or higher in MATH 156.) |
## MATH–226## Discrete Mathematics; 4 credits
This course is intended for students of mathematics or
computer science. The course examines the theoretical and
applied mathematical foundations for the discipline of computer
science. Topics include sets, logic, methods of proof,
functions, number theory, counting techniques, discrete
probability, graphs and trees, relations, and Boolean functions.
Mathematical reasoning and proofs will be stressed. Applications
are drawn from the field of computer science. A prior programming
course, while recommended, is not necessary. NOTE: MATH 226
is offered only in the Summer II term.
(Prerequisite: A grade of "C" or higher in MATH 172.) |

## MATH–263 (M)## Applied Calculus; 4 credits
This is the third of three courses (after MATH 161 and MATH 162)
intended specifically for students of the various technology
programs offered at Brookdale Community College. This course
covers differential and integral calculus with technology
applications. Topics include functions, limits, the derivative
and its applications, the integral and its applications,
calculus of transcendental functions, and integration techniques,
including tables of integrals. Problems are approached from
a variety of perspectives, including graphical, numerical,
verbal, and algebraic through the use of computer software
and graphing calculators in class. A graphing calculator is
required – the specific model is determined by the department.
NOTE: MATH 263 is offered only in the Spring term of odd–numbered
years.
(Prerequisites: A grade of C or higher in MATH 161 and MATH 162.) |
## MATH–273 (M)## Calculus III; 4 credits
This course, a continuation of MATH 172, Calculus II, completes
the study of elementary calculus. Topics include polar equations,
vectors and vector–valued functions, surfaces in space and
functions of several variables, partial derivatives and multiple
integrals, and topics from vector analysis. Applications will
be considered throughout the course. Problems are approached
from a variety of perspectives, including graphical, numerical,
verbal, and algebraic. Computer software will be used extensively
in class to gain a greater understanding of concepts as well
as to consider non–routine problems.
(Prerequisite: A grade of C or higher in MATH 172.) |

## MATH–274 (M)## Elementary Differential Equations; 4 credits
This is an introductory course in concepts and applications
of differential equations. Topics include classical methods
of solving first– and higher–order differential equations,
mathematical models for phenomena such as growth and decay,
chemical reactions, motion of a body, spring–mass systems and
electric circuits, qualitative and numerical aspects of
differential equations, and systems of differential equations.
Problems are approached from a variety of perspectives,
including graphical, numerical, verbal, and algebraic. Computer
software will be used extensively in class to gain a greater
understanding of concepts as well as to consider non–routine problems.
NOTE: MATH 274 is offered only in the Spring and Summer II terms.
(Prerequisite: A grade of C or higher in MATH 273.) |
## MATH–285## Linear Algebra; 3 credits
This is an introductory course in concepts and applications
of linear algebra. Topics include solutions of systems of
linear equation using matrices and determinants, vector spaces,
linear transformations, eigenvalues and eigenvectors, and the
problem of diagonalizing a square matrix. Applications,
including Markov chains, the least squares fit problem, and
polynomial interpolation, are included throughout the course.
Problems are approached from a variety of perspectives,
including graphical, numerical, verbal, and algebraic through
the use of computer software in class. NOTE: MATH 285 is
offered only in the Summer II term.
(Prerequisite: A grade of C or higher in MATH 172.) |

## MATH–295## Special Project – Mathematics; 1 to 3 credits
MATH 295 is a course designed for students who wish to study
an advanced topic in mathematics not included in one of our
currently offered courses. Topics may be in a variety of areas,
including fractal geometry, statistics and probability theory,
abstract algebra and others. Before registering for the course
the student must obtain a faculty advisor who will develop
and submit a detailed program of study for the student.
(Prerequisite: A grade of "C" or higher in MATH 172.) |