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MATH-015 |
ARITHMETIC AND PRE-ALGEBRA |
3 |
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Preparation for MATH 025.
Arithmetic with whole |
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numbers, signed numbers, and
fractions. Order of |
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operations, variables,
simplifying of algebraic |
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expressions. Concrete
representations of |
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arithmetic operations and
algebraic concepts are |
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emphasized. Particularly
appropriate for students |
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who experience anxiety when
learning mathematics. |
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Course fee.
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MATH-024 |
BASIC ALGEBRA AND SETS |
4 |
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Brief review of integer and
fraction arithmetic. |
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Solving of equations and
inequalities in one |
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variable. Writing equations
of lines; forms of |
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linear equations. Graphing
linear equations and |
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inequalities. Solving
systems of linear equations |
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and inequalities.
Introduction to linear |
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programming. Exponents and
polynomials including |
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factoring. Solving
quadratic equations using
the |
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zero product property and
the quadratic formula. |
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Introduction to functions.
Unit analysis. |
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Emphasis on problem
solving. Introduction to |
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sets, permutations, and
combinations. |
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Pre-requisite: A
grade of "C" or better in
MATH |
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015 or satisfactory
placement score. Course
fee.
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MATH-025 |
BASIC ALGEBRA |
3 |
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Brief review of integer and
fraction arithmetic. |
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Solving of equations and
inequalities in one |
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variable. Writing equations
of lines; forms of |
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linear equations. Graphing
linear equations and |
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inequalities. Solving
systems of linear equations |
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and inequalities.
Introduction to linear |
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programming. Exponents and
polynomials including |
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factoring. Solving
quadratic equations using
the |
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zero product property and
the quadratic formula. |
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Introduction to functions.
Unit analysis. |
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Emphasis on problem
solving. Pre-requisite:
A |
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grade of "C" or better in
MATH 015 or satisfactory |
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placement score. Course
fee.
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MATH-025A |
BASIC ALGEBRA A |
2 |
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The content in this course includes a review of signed number and fraction
arithmetic, solving equations in one variable, graphing linear inequalities
in two variables, slope, equations of a line, graphing linear inequalities in
one variable, and an introduction to relations and functions. Problem solving
is emphasized throughout. Pre-requisite: A grade of ‘C’ or better in MATH
015 or satisfactory placement score.
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MATH-025B |
BASIC ALGEBRA B |
2 |
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The content in this course includes systems of linear equations in two variables,
introduction to exponent rules and scientific notation, addition, subtraction,
and multiplication of polynomials, factoring polynomials, solving quadratic
equations using the zero product property or the quadratic formula, and
unit analysis. Problem solving is emphasized throughout the course. Prerequisite:
Take MATH 025A.
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MATH-108 |
INTERMEDIATE ALGEBRA |
4 |
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Function emphasis. Full
integration of graphing |
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technology and computer
algebra system. Systems of |
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linear equations and linear
inequalities. Absolute |
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value equations. Polynomials
and polynomial |
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functions. Exponential and
logarithmic functions. |
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Radical equations and
functions. Quadratic |
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equations and functions.
Rational equations and |
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functions. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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024 or MATH 025 or
satisfactory placement
score. |
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Course fee.
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MATH-123 |
MATHEMATICS AS A LIBERAL ART |
3 |
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This course fulfills the
skills component of the |
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General Education core.
Provides students with a |
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solid foundation in those
areas of algebra, |
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geometry, and trigonometry
which are currently |
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pervasive in business and
the technical and |
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industrial technologies.
Special attention is |
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given to applications
involving HVAC, |
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manufacturing, mechanics,
welding, drafting, and |
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printing technologies.
Mathematical topics include |
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linear and quadratic
equations, systems of linear |
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equations, geometry and
geometric solids, right |
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and oblique triangle
trigonometry, and an |
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introduction to statistics.
Cross-listed with |
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MTHPT 123. |
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Pre-requisites: A
grade of "C" or better in
MATH |
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024, MATH 025, MTHPT 103, or
MTHPT 120, or |
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satisfactory placement
score. Course Fee.
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MATH-130 |
FINITE MATHEMATICS |
4 |
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Systems of linear equations
and inequalities, |
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elementary matrix algebra,
introduction to linear |
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programming, elementary
discrete probability and |
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statistics. Emphasis on
applications to business, |
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economics and social
sciences. Cross-listed with |
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MTHPT 130. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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024 or MATH 025 or MTHPT 103
or satisfactory |
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placement score. Course Fee.
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MATH-130A |
FINITE MATHEMATICS |
2 |
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Systems of linear equations
and inequalities, |
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elementary matrix algebra,
introduction to linear |
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programming, elementary
discrete probability and |
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statistics. Emphasis on
applications to business, |
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economics and social
sciences. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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024 or MATH 025 or MTHPT 103
or satisfactory |
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placement score. Course Fee.
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MATH-130B |
FINITE MATHEMATICS |
2 |
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Elementary discrete
probability and statistics. |
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Emphasis on applications to
business, economics |
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and social sciences. |
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Pre-requisite: MATH
130A |
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MATH-137 |
ALGEBRA, TRIG AND STAT WITH
APPLICATION |
4 |
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This course fulfills the
skills component of the |
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General Education Core.
Cartesian coordinate |
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system, representations of
lines, functions of one |
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or more independent
variables, polynomial, |
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radical, exponential, and
logarithmic equations, |
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matrix algebra, systems of
equations, radian and |
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degree measure, right-angle
trigonometry, law of |
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sines and cosines, vectors
in applied settings, |
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probability theory, and
statistics. The course |
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will emphasize technical
applications. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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024, MATH 025, MTHPT 103, or
MTHPT 120 or |
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satisfactory placement
score. Course Fee.
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MATH-143 |
COLLEGE ALGEBRA |
3 |
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Emphasis on the concept of
(real-valued) functions |
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as mathematical entities,
including domain, range, |
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algebraic operations,
composition, inverses, |
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graphing. Polynomial
functions, division of |
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polynomials, roots of
polynomials, theory of |
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equations, complex numbers,
fundamental theorem of |
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algebra. Rational functions
and asymptotes. |
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Logarithmic and exponential
functions. Multi-level |
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algebraic manipulation of
complicated functional |
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expressions-e.g., difference
quotients. Conic |
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sections, translation of
axes, distance from point |
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to line. Pre-requisite:
A Grade of "C" or better |
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in MATH 108 or satisfactory
placement score. |
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Course Fee.
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MATH-144 |
TRIGONOMETRY |
2 |
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Right-triangle and circular
function approaches to |
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trigonometry. Trigonometric
identities. Graphs of |
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trigonometric functions;
amplitude, frequency, |
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phase shift. Inverse
trigonometric functions and |
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their graphs. Polar
coordinates, polar |
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representation of complex
numbers. |
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Co-requisite: MATH
143.
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MATH-147 |
PRECALCULUS |
5 |
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The course emphasizes
functions, circular |
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trigonometry and multilevel
problem solving as |
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preparation for calculus.
Functions are treated |
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as mathematical entities,
including domain, range, |
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algebraic operations,
composition, inverses, and |
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graphing. Polynomial,
logarithmic, exponential, |
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trigonometric, inverse
trigonometric, radical and |
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rational functions are
explored. Algebraic |
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techniques include diversion
of polynomials, roots |
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of polynomials, theory of
equations and |
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inequalities, complex
numbers and DeMoivre's |
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Theorem, the Fundamental
Theorem of Algebra and |
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solving systems of linear
and nonlinear equations. |
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Trigonometric identities are
derived, proved and |
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applied. Polar coordinates,
vectors and oblique |
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triangles are introduced and
used in a variety of |
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applications. Analytic
geometry focuses on |
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circles, parabolas, distance
and midpoints. MATH |
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147 is equivalent to MATH
143 plus MATH 144. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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108 or satisfactory
placement score. Course
Fee. |
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MATH-157 |
FOUNDATIONS OF ELEMENTARY
MATHEMATICS |
3 |
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An overview of the
mathematics taught in grades |
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K-8. Topics from set theory,
logic, number theory, |
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and functions. Stresses
skills and cognitive |
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understanding. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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108 or MATH 137 or
satisfactory placement
score.
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MATH-170 |
CALCULUS I |
4 |
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Definitions of limit,
derivative, antiderivative, |
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definite integral.
Computation of the
derivative, |
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including logarithmic,
exponential, and |
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trigonometric functions.
Applications of the |
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derivative, optimization,
mean value theorem. The |
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fundamental theorem of
calculus, brief |
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introduction to applications
of the integral and |
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to computation of
antiderivatives. Intended
for |
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students in engineering,
mathematics, and the |
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sciences. |
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Pre-requisites: A
Grade of "C" or better in
MATH |
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143 and MATH 144, or
satisfactory placement
score.
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MATH-175 |
CALCULUS II |
4 |
|
Applications of the
integral, symbolic and |
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numerical techniques of
integration, inverse |
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transcendental functions.
Sequences and series, |
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with an emphasis on power
series and |
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approximation. |
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Pre-requisite: A
Grade of "C" or better in
MATH 170 |
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MATH-186 |
DISCRETE MATHEMATICS |
3 |
|
Topics such as sets,
functions, algorithms,
logic, |
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Boolean algebra are
included. This course
consists |
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of numerous topics which are
particularly valuable |
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to students pursuing a
computer science minor. |
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Pre-requisite: A
Grade of "C" or better in
MATH |
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108 or satisfactory
placement score. |
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MATH-190 |
DIRECTED STUDY IN MATH |
1 |
12 |
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MATH-192 |
SPECIAL TOPICS IN
MATHEMATICS |
1 |
12 |
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MATH-254 |
STATISTICAL METHODS FOR THE
SCIENCES |
4 |
|
Biometry is designed to
develop an ability to use |
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descriptive statistics as it
is applied to the |
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life sciences. A student
will learn to generate |
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confidence intervals, test
hypotheses, create |
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mathematical models and
perform regression |
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analysis. Computer assisted
methods will be used |
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throughout. |
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Pre-requisite: A
Grade of "C" or better in
Math |
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108 or satisfactory
placement score.
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MATH-257 |
FOUNDATION OF ELEMENTARY
MATHEMATICS II |
3 |
|
Continuation of MATH 157.
Emphasis on conceptual |
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understanding, and
communication of
mathematical |
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principles. Content emphasis
on probability, |
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statistics, geometry, and
algebraic structures. |
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Pre-requisite: A
Grade of "C" or better in
MATH 157 |
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MATH-275 |
CALCULUS III |
4 |
|
Vector algebra and geometry,
functions of several |
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variables, partial and
directional derivatives, |
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gradient, chain rule,
optimization, multiple and |
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iterated integrals.
Parametric curves and
surfaces |
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in 3-space, vector fields,
divergence and curl, |
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line and surface integrals.
Green's, Stoke's and |
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divergence theorems. |
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Pre-requisite: A
Grade of "C" or better in
MATH 175 |
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MATH-285 |
EUCLIDEAN GEOMETRY |
3 |
|
This course is designed to prepare teachers of middle and high school
geometry. The course emphasizes classic geometric proof and application of
geometric theorems. Topics include parallel lines, triangles, quadrilaterals,
circles, and polygons. Pre-requisite: A grade of ‘C’ or better in MATH 143,
MATH 157, or MATH 186, or satisfactory placement score.
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MATH-290 |
DIRECTED STUDY IN
MATHEMATICS |
1 |
3 |
Pre-requisite: A
Grade of "C" or better in
MATH |
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170 or permission of the
division. |
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MATH-291 |
WORKSHOP IN MATHEMATICS |
1 |
3 |
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|
MATH-292 |
SPECIAL TOPICS IN
MATHEMATICS |
1 |
3 |
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|
MATH-295 |
PRACTICUM IN MATHEMATICS |
1 |
2 |
Tutoring in the mathematics
laboratory or |
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functioning as a teacher's
aide in a lower |
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division mathematics course.
Pre-requisite: |
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Approval of the division
chair. May be repeated |
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for a total of 4 credits. |
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MATH-296 |
COOPERATIVE EDUCATION IN
MATH |
1 |
12 |
|
|
MATH-299 |
RESEARCH ASSISTANTSHIP |
1 |
12 |
|
|
MATH-300 |
INTRODUCTION TO MATHEMATICAL
REASONING |
3 |
|
Introductory topics in
mathematics- logic, set |
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theory, properties of the
real line- number |
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theory, induction, mappings,
rigorous treatment of |
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limits of sequences.
Emphasis is on the concept
of |
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theorem and proof. |
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|
Pre-requisite: A
Grade of "C" or better in
MATH 175 |
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MATH-320 |
PROBABILITY AND STATISTICS |
3 |
|
Sample spaces, random
variables, central limit |
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|
theorems, stochastic
processes, estimation and |
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testing of hypotheses. |
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|
Pre-requisite: A
Grade of "C" or better in
MATH 175 |
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MATH-340 |
LINEAR ALGEBRA |
3 |
|
Systems of linear equations,
Gaussian elimination, |
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matrices vector spaces,
linear independence, |
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basis, dimension, inner
products, orthogonal |
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projections, orthonormal
bases. Determinants, |
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eigenvalues and
eigenvectors. Positive
definite |
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matrices. |
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|
Pre-requisite: A
Grade of "C" or better in
MATH 175 |
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|
MATH-345 |
ORDINARY DIFFERENTIAL
EQUATIONS |
3 |
|
Separation of variables,
variations of parameters- |
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methods of characteristic
roots, undetermined |
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coefficients- systems of
differential equations. |
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|
Laplace transform, and power
series. |
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|
Pre-requisite: A
Grade of "C" or better in
MATH 340 |
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MATH-386 |
POSTULATION GEOMETRY |
3 |
|
Postulates of Euclid and
Hilbert, nonEuclidian |
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|
geometry and projective
geometry. Understanding of |
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|
high school geometry is
emphasized. |
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|
Pre-requisite: A
Grade of "C" or better in
MATH 170 |
|
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|
MATH-390 |
DIRECTED STUDY IN
MATHEMATICS |
1 |
3 |
|
|
MATH-391 |
WORKSHOP IN MATHEMATICS |
1 |
3 |
|
|
MATH-392 |
SPECIAL TOPICS IN
MATHEMATICS |
1 |
3 |
|
|
MATH-395 |
PRACTICUM IN MATHEMATICS |
1 |
2 |
|
|
MATH-396 |
COOPERATIVE EDUCATION IN
MATH |
1 |
12 |
|
|
MATH-399 |
RESEARCH ASSISTANTSHIP |
1 |
12 |
|
|
MATH-450 |
COMPLEX ANALYSIS |
3 |
|
Complex numbers and
functions, complex
derivatives |
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and integrals, residue
theory, conformal mappings |
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and uniform convergence. |
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|
Pre-requisite: A
Grade of "C" or better in
MATH 300 |
|
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|
MATH-460 |
ABSTRACT ALGEBRA I |
3 |
|
Groups, subgroups,
permutation groups, |
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homomorphism and quotient
groups. Rings, subrings, |
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ideals and quotient rings.
Polynomials, integral |
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domains and fields of
quotients. Introduction to |
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Galois theory. |
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Pre-requisite: A
Grade of "C" or better in
MATH 300 |
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MATH-461 |
ABSTRACT ALGEBRA II |
3 |
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Rings, subrings, ideals and
quotient rings. |
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Polynomials, integral
domains and fields of |
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quotients. Field extensions
and splitting fields. |
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Fundamental Theorem of
Galois Theory. |
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Pre-requisite: A
Grade of "C" or better in
MATH 460 |
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MATH-470 |
GENERAL TOPOLOGY |
3 |
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An introduction to the
fundamental concepts of |
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general topology including
set theory, metrics, |
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neighborhoods, bases,
subspaces, mappings, |
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continuity, separation
axioms, compactness and |
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connectedness. |
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Pre-requisite: A
Grade of "C" or better in
MATH 300 |
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MATH-480 |
REAL ANALYSIS I |
3 |
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Axioms for the real numbers.
Limits of sequences, |
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limits of functions,
continuity, compactness, the |
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derivative and the Riemann
integral. |
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Pre-requisite: A
Grade of "C" or better in
MATH 300 |
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MATH-481 |
REAL ANALYSIS II |
3 |
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Riemann-Stieltjes
integration. Functions of |
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bounded variation.
Differentiation and
Integration |
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in n-space. Lebesgue
integration. |
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Pre-requisite: A
Grade of "C" or better in
MATH 481 |
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MATH-490 |
DIRECTED STUDY IN
MATHEMATICS |
1 |
3 |
Pre-requisite: A
Grade of "C" or better in
MATH |
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170 or permission of the
division. |
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MATH-491 |
WORKSHOP IN MATHEMATICS |
1 |
3 |
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MATH-492 |
SPECIAL TOPICS IN
MATHEMATICS |
1 |
3 |
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MATH-495 |
PRACTICUM IN MATHEMATICS |
1 |
2 |
Tutoring in the mathematics
laboratory or |
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functioning as a teacher's
aide in a lower |
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division mathematics course.
Pre-requisite: |
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Approval of the division
chair. May be repeated |
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for a total of 4 credits. |
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MATH-496 |
COOPERATIVE EDUCATION IN
MATH |
1 |
12 |
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MATH-499 |
RESEARCH PROJECT AND SEMINAR
IN MATH |
1 |
3 |
Students will conduct and
communicate the results |
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of a research project in the
Natural Sciences |
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Division. Topics may
include the historical, |
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philosophical, cultural and
environmental aspects, |
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and the processes of natural
science. |
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Requirements of students
include satisfactory oral |
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presentation and defense of
their research and |
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submission of a written
report approved by their |
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advisor to the Natural
Sciences Division. |
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Prerequisite: NS 398. |
