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Description of Mathematics
Mathematics
MATH 0031. Math Lab III. (000). Approval of
Developmental Studies Director required;
supplements but does not replace other developmental courses. Individualized
learning program
for students who have not passed the math college assessment test and
necessitate a midsemester
schedule change to meet state requirements in remediation. Math strengths and
weaknesses
are diagnosed on the basis of college assessment test. Teaching methods include
computerassisted
instruction.
MATH 0115. Math Lab I. (011). Individualized learning program for
students needing remediation
to pass the college assessment test, prepare for a math class, or develop
occupational
proficiency in math. Laboratory setting with diagnosis of math strengths and
weaknesses.
Includes computer and video instruction as appropriate for students studying
within specialized
environments and/or time constraints.
MATH 0215. Math Lab II. (022). Individualized
learning program for students needing remediation
to pass the college assessment test, prepare for a math class, or develop
occupational
proficiency in math. Laboratory setting with diagnosis of math strengths and
weaknesses.
Includes computer and video instruction.
MATH 0300. Basic Mathematics. (313). Basic
mathematics emphasizes basic computational
skills and applications found in whole numbers, fractions, decimals, ratios,
proportions and percents.
Includes the development of skills needed for a beginning algebra class, such as
signed
numbers, expressions and equations , and instruction in solving word problems.
Students apply
their instruction in a lab setting.
MATH 0310. Developmental Algebra. (313). Designed
for students with little or no background
in algebra. Topics include adding, subtracting, multiplying and dividing real
numbers,
solving linear equations, inequalities, and word problems, solving percent,
ratio, and proportion
problems, simplifying expressions containing positive and negative exponents,
adding, subtracting,
and multiplying polynomials, factoring trinomials, the difference of two
squares , and
perfect square trinomials, solving quadratic equations and word problems using
factoring, simplifying,
multiplying and dividing, and adding and subtracting rational expressions ,
solving equations
containing rational expressions, and simplifying complex fractions . Students
apply their
instruction in a lab setting.
MATH 0320. Elementary Algebra. (313).This course
is designed for students with a successful
background in Developmental Algebra. Topics include simplifying, multiplying and
dividing,
and adding and subtracting rational expressions, solving equations containing
rational
expressions, simplifying complex fractions, graphing linear equations, writing
equations of lines,
determining intercepts and slopes of lines, solving systems of linear equations
by graphing, substitution,
and addition, simplifying, adding and subtracting, and multiplying and dividing
radicals,
and solving quadratic equations by the square root property , completing the
square, and the
quadratic formula. Students apply their instruction in a lab setting.
MATH 0330. Intermediate Algebra. (313). This
course is designed for students with a successful
background in Elementary Algebra. Topics include solving equations which have
one
solution, no solution, or infinitely many solutions, writing equations of lines,
evaluating and
graphing functions, determining the domain and range of functions, solving
systems of three
equations in three unknowns, solving systems using matrices and determinants,
solving absolute
value equations and inequalities, graphing polynomial functions, factoring
polynomial expressions,
solving equations using factoring, simplifying, adding and subtracting, and
multiplying
and dividing rational expressions, solving equations involving ratio,
proportion, and variation,
solving equations containing rational expressions, finding the distance between
two points in
the xyplane, solving equations containing radicals, simplifying expressions
containing rational
exponents, and simplifying radical expressions. Students apply their instruction
in a lab setting.
MATH 1314. College Algebra. (313). Further study
of quadratics; polynomial, rational, logarithmic
and exponential functions; system of equations; progressions; sequences and
series;
matrices and determinants. One hour laboratory. Students apply their instruction
in a lab setting.
Prerequisite: College readiness in math. (M)
MATH 1316. Trigonometry. (303). Trigonometric
functions, logarithms, radian measure,
solutions of triangles, trigonometric identities and equations, inverse
trigonometric functions,
vectors, complex numbers. Prerequisite: two years of high school algebra orMATH
1314. (RM)
166 / Course Descriptions
MATH 1324. Mathematics for Business, Social and Life
Sciences I. (303). Linear models,
matrix theory, linear programming, mathematics of finance, combinatorics ,
probability, review
of polynomial, exponential, and logarithmic functions. Prerequisite: two years
of high school
algebra or college algebra. (RM)
MATH 1325. Mathematics for Business, Social and Life
Sciences II. (303). Topics for this
course include differential and integral calculus of algebraic, logarithmic and
exponential functions
with applications and differential calculus of multivariate functions with
applications. The
course is primarily designed for a degree in management, life and social
sciences requiring one
calculus course. Prerequisite: MATH 1314 or MATH 1324. (RM)
MATH 1332. Math for Liberal Arts I. (303). Modern
algebra and geometry. Topics may
include sets, logic, number systems, number theory, functions, equivalence,
congruence, measurement,
other geometric concepts, and an introduction to probability and statistics. .
Prerequisite:
College readiness in math. (RM)
MATH 1350. Fundamentals of Mathematics I. (303).
Semester I: Concepts of sets, functions,
numeration systems, number theory and properties of the natural numbers,
integers, rational, and
real number systems with an emphasis on problem solving and critical thinking.
This course is
designed specifically for students who seek middle grade (48) teacher
certification. Prerequisite:
College Algebra or the equivalent . (M)
MATH 1351. Fundamentals of Mathematics II. (303).
Semester II: Concepts of geometry,
probability, and statistics, as well as applications of the algebraic properties
of real numbers to
concepts of measurement with an emphasis on problem solving and critical
thinking. This course
is designed specifically for students who seek middle grade (48) teacher
certification. Prerequisite:
MATH 1350, MATH 1314 (College Algebra) or the equivalent. (M)
MATH 2305. Discrete Mathematics. (303). Set
theory, combinatorics, mathematical induction,
functions, Boolean algebra, graph theory, difference equations. (RM)
MATH 2312. Precalculus Math. (303). Applications
of algebra and trigonometry to the
study of elementary functions and their graphs including polynomial, rational,
exponential, logarithmic,
and trigonometric functions. May include topics from analytical geometry.
MATH 2318. Linear Algebra. (303).
Finitedimensional vector spaces, linear transformations
and matrices, quadratic forms, eigenvalues and eigenvectors, vector spaces over
the real
numbers. Prerequisite or corequisite: MATH 2414. (RWM)
MATH 2320. Differential Equations. (303). A first
course in ordinary differential equations.
Elementary and linear equations with applications, nonhomogeneous equations of
order one
and higher degree. Prerequisite: MATH 2414. (RWM)
MATH 2342. Statistics. (303). Description of
tools used in statistical inference. Frequency
distributions, probability and probability distributions, sampling and sampling
distributions,
hypothesis testing, statistical inference, regression and correlations.
Practical applications. Prerequisite:
MATH 0310 or consent of division dean. (R)
MATH 2413. Calculus I. (404). Topics include
functions, limits and continuity, derivative
(including the trigonometric functions), applications of the derivative
including related rates and
applied maximum/minimum, differential and antidifferentiation, definite integral
(including
the trigonometric functions), Riemann Sums, Mean Value Theorem, Fundamental
Theorem of
Calculus, applications of the integral including volume, work and solids of
rotation, and L’Hopital’s
Rule . Prerequisite or corequisite: MATH 1348. (RM)
MATH 2414. Calculus II. (404). Topics include derivatives and integrals
of logarithmic and
exponential functions, derivatives and integrals of the inverse trigonometric
and hyperbolic
functions, techniques of integration including parts, partial fractions,
trigonometric substitution,
integrals involving trigonometric forms, and miscellaneous substitutions.
Improper integrals
and indeterminate forms. Infinite Series, numerical methods, Taylor’s formula,
differentiation
and integration using polar coordinates , vectors and parametric equations.
Prerequisite:MATH
2413. (RM)
MATH 2415. Calculus III. (404). Topics include
vector Algebra and solid analytic geometry,
calculus of functions of several variables, multiple integration theory, methods
and applications,
partial differentials and applications of partial differentials, Lagrange
Multipliers,
Jacobians; line and surface integrals including Green’s and Stokes’ Theorems,
and surfaces. Prerequisite:
MATH 2414. (RM)
MATH 2421. Differential Equations and Linear Algebra.
(404). This course emphasizes
solution techniques. Ordinary differential equations, vector spaces, linear
transformations,
matrix/vector algebra, eigenvectors, Laplace Transform, and systems of
equations. Prerequisite:
Math 2414. (RM)
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