Liberal Arts and Science - Manchester Community College ...

COURSES
develop and enhance the students’ mathematical skills through presentation
of relevant technical situations, and an integrated development of graphic,
algebraic and trigonometric models and solution methods. A TI-83+ or TI-86
graphing calculator is required and used throughout. Prerequisites: “C” or better
in MAT* 154, or placement by mathematics assessment test. (Sp) 3 credits
MAT* 158: Functions Graphs & Matrices
(formerly MATH 120: Topics in Modern Mathematics I: Functions, Graphs,
Matrices)
A course in selected topics from contemporary mathematics with applications
for students in business, economics, and social science. Topics include: the
concepts of function and rate of change, a review of algebraic and graphical
aspects of polynomial functions, a study of exponential and logarithmic functions,
mathematical modeling, and operations on systems of linear equations
including matrix operations. A TI-83+ graphing calculator is required and used
throughout the course. Class: 3 hours per week. Prerequisite: “C” or better in
MAT* 138 or placement by mathematics assessment test, and “C” or better in
ENG* 101. (Fa,Sp) 3 credits
MAT* 165: Elementary Statistics with Computer Applications
(formerly MATH 111)
An introduction to statistical theory and its applications. The use of statistics
as a decision-making tool will be discussed. Topics include: data collection,
organization and summarization, measures of central tendency and variation,
counting techniques, introductory probability theory, discrete and continuous
probability models, normal distribution theory, sampling distributions, confidence
interval estimation and one sample hypothesis testing. A group project
which will include the design of a survey, collection analysis of data and a
presentation of the results is required. A statistical calculator is required and
will be used throughout. Applications of statistical techniques in a variety of
disciplines will use the Minitab Statistical Software Package. Class: 4 hours
per week. Prerequisites: “C” or better in MAT* 138, or “C” or better in both MAT*
095 and MAT* 109, or “C” or better in MAT* 096 and MAT* 109, “C” or better in
ENG* 101. A student cannot receive credit for MAT* 165 if he/she has already
received credit for MATH 108. (Fa,Sp,Su) 4 credits
MAT* 185: Trigonometric Functions
(formerly MATH 105: Trigonometry)
A brief review of sets, relations, functions, and inverses. Topics include trigonometry
of the right triangle, solutions of triangles, the trigonometric functions,
the circular functions, identities, solving trigonometric equations, graphs,
inverse trigonometric functions, polar coordinates and vectors. Emphasis is
on an analytic approach. Class: 2-3 hours per week. Prerequisite: MAT* 138
or placement by mathematics assessment test. Recommended: MAT* 148 or
high school geometry. (O) 2-3 credits
MAT* 186: Precalculus
(formerly MATH 150: Precalculus Mathematics
A detailed study of relations and functions, operations on functions, and
their graphs. Characteristics of various families of functions, modeling and
solving application problems are the main focus of the course. In particular,
exponential, logarithmic and circular functions along with polynomial, rational
and selected algebraic families will be developed. This course assumes that
the student has had some exposure to geometry. A TI-83+ or 86 graphing
calculator is required and will be used throughout. Class: 4 hours per week.
Prerequisite: a grade of “C” or better in MAT* 138, or “C” or better in MAT* 155,
or placement by mathematics assessment test, and “C” or better in ENG* 101.
(Fa,Sp,Su) 4 credits
MAT* 222: Statistics II with Technology Applications
(formerly MATH 208: Statistics II: Methods and Applications)
Introduction to statistical research methods with applications to business,
140
economics and social sciences. Emphasis on: statistical inference, hypothesis
testing, correlation and simple linear regression and multiple regression,
analysis of variance, nonparametric methods and Chi-square tests. The statistical
software package, Minitab, will be used throughout the course. Class: 3
hours per week. Prerequisites: MATH 108 or MAT* 165, “C” or better in ENG*
101. (O) 3 credits
MAT* 230: Applied Calculus with a Modeling Approach
(formerly MATH 121: Topics in Modern Mathematics II: Applied Calculus)
A course in selected topics from calculus with applications in business, economics,
and social science. Students will learn the fundamental concepts of
calculus and how to apply them to real-life problems. A major goal is to develop
conceptual understanding (rather than algebraic manipulation) through the use
of graphing calculators and through the consideration of graphical, numerical
and algebraic perspectives. The major conceptual focus is on rates of change
and their interpretations within a problem context. The definition of the integral,
the Fundamental Theorem of Calculus, some selected applications of integration
and some integration techniques are included. A TI-83+ graphing calculator
is required and used throughout. Class: 3 hours per week. Prerequisite: “C” or
better in both MAT* 158 and ENG* 101. (Fa, Sp) 3 credits
MAT* 242: Projects in Calculus I
(formerly MATH 188: Problems, Reading and Applications in Calculus)
A supplemental problem-solving session dominated by problems that will direct
attention more to ideas than to techniques. There will be some self-contained
examples of applications of calculus that are tractable, relevant and interesting
to students. Other problems will require imagination, outside reading and
consultation, cooperation and coherent writing. Students will be required to
defend both their methodology and their conclusion. Lastly, the readings along
with the associated problems from the readings will provide some history of
the discipline as well as how mathematics in general and calculus in particular
has contributed to intellectual history. May be taken up to two times as MAT*
242 and MAT* 243. Prerequisite: concurrent registration in MAT* 250 or MAT*
256 and “C” or better in ENG* 101. (O) 1 credit
MAT* 243: (O) See MAT* 242
(formerly MATH 189)
MAT* 250: Calculus I with Lab
(formerly MATH 190: Analytic Geometry and Calculus I)
A first course in calculus with analytic geometry for students in mathematics,
science, engineering and technology. Topics include families of functions (including
exponential and logarithmic) represented by table, graph and equation,
modeling of actual data, the concepts of limit and continuity, the derivative
and antiderivatives, the definite integral and the Fundamental Theorem of
Calculus. Applications from mathematics, engineering, and economics will
receive special attention. Solutions to such problems will require the use of
a graphing calculator and/or a symbolic algebra system (Maple). A TI-83 or
TI-83+ or TI-86 graphing calculator is required. Prerequisites: “C” or better in
MAT* 186, or placement by mathematics assessment test, and “C” or better in
ENG* 101 (recommended) or concurrent registration in ENG* 101 (acceptable).
Students cannot receive credit for MAT* 250 if they have already received credit
for MAT* 254. (Fa,Sp) 5 credits
MAT* 256: Calculus II
(formerly MATH 192: Analytic Geometry and Calculus II)
A second course in Calculus and analytic geometry for students in mathematics,
science, engineering and technology. Topics include antiderivatives, the
definite integral, the Fundamental Theorem of Calculus, techniques of integration,
numerical approximation, methods of integration, separable differential
equations, improper integrals, sequences and series, polar coordinates and
parametric equations. Applications of these topics are used throughout the
Next Semester Offered Designations: Fa = Fall, O = Occasional, Sp = Spring, Su = Summer