Mathematics (MATH)
Courses numbered 050 and above are listed in the catalog.
051 (5) Fundamentals of Arithmetic
Fundamental operations with whole numbers, fractions and
decimals. Solve problems including percent, ratio and proportion, measurement
and geometric figures. Introduction to signed numbers and basic statistics.
052 (5) Applied Arithmetic
Offered through Extended Learning Only
Fundamental operations with whole numbers, fractions and
decimals. Solve problems including percent, ratio, and proportion, measurement
and geometric figures.
054 (5) Prealgebra
Prereq: Satisfactory placement test score or MATH 51 with
a grade of at least 2.0 or instructor permission.
Review basic algebraic operations with fractions, decimals;
perform basic operations with signed numbers. Introduce operations with expressions,
exponents, graphing on a coordinate axis. Solve linear equations and applications.
Solve problems involving geometric figures, data and statistical graphs.
058 (3) Introduction to Algebra Part I
Prereq: Satisfactory placement test score or Math 51 or
Math 54 with a grade of at least 2.0 or instructor permission
Basic operation with polynomials, rational expressions,
solving linear equations and inequalities, solving quadratic equations by factoring,
applications. Math 058 and Math 059 together are equivalent to Math 60.
059 (2) Introduction to Algebra Part II
Prereq: MATH 058 or instructor permission
Coordinate system, linear graphs, system of equations, expressions
and equations containing radicals. Math 058 and Math 059 together are equivalent
to Math 060.
060 (5) Introduction to Algebra
Prereq: Satisfactory placement test score or MATH 051
or MATH 054 with a grade of at least 2.0 or instructor permission
Basic operations with polynomials, rational and radical
expressions; solve linear equations and quadratic equations, applications, linear
graphs, and systems of linear equations.
069 (5) Applied Algebra
Prereq: Satisfactory completion of MATH 052 or instructor
permission
Offered through Extended Learning Only
Perform basic operations with polynomials, rational, and
radical expressions. Solve linear and quadratic equations and graph linear equations.
098 (5) Intermediate Algebra
Prereq: Satisfactory placement test score or MATH 60 or
MATH 059 with at least a grade of 2.0 or instructor permission
Properties of the real number system, polynomials, rational
and radical algebraic expressions, linear and quadratic equations, linear inequalities,
systems of linear equations, exponents, graphs and applied problems.
100 (3) Mathematics for the Trades
Prereq: Open to all with high school level coursework
(or MATH 100) Offered through Extended Learning only.
College mathematics including basic algebra, plane geometry,
triangle trigonometry, linear and quadratic equations, logarithms, functions,
and graphing with emphasis on solving real-world problems faced by workers in
the trades.
107 (5) Intro to Contemporary Mathematics
GER-QS,NS
Prereq: MATH 98 or equivalent, with a grade of at least
2.0 or placement test scores above Math 098
Contemporary mathematics applied to a variety of fields.
Instructor chosen topics will focus on graphical and formula derived solutions,
statistics, applied problems, and communicating solutions. Topics may include
management science, statistics, social choice, patterns, and financial applications.
114 (5) Applied Algebra, Geometry and Trigonometry
GER-NS,QS
Prereq: Math 98 or equivalent with at least a 2.0 or placement
test score above Math 098.
Linear, quadratic, logarithmic, exponential, and trigonometric
functions and their applications. Interpretation and display of information
using rectangular, polar, and logarithmic coordinate systems. Right triangle
and unit circle trigonometry. Vector operations using real and complex numbers.
Solutions to systems of linear equations.
121 (5) Precalculus I
GER-NS,QS
Prereq: MATH 98 or equivalent with a grade of at least
2.0 or placement test score above Math 098
Families of functions, their properties, graphs and applications.
Functions include: polynomial, rational, exponential, logarithmic functions
and combinations of these. Solve related equations and inequalities. Data analysis,
introductory mathematical modeling. Develop competency with a graphing calculator.
122 (5) Pre-Calculus II
GER-NS,QS
Prereq: MATH 121 with a grade of at least 2.0 or instructor
permission
Families of trigonometric functions, their inverses, properties,
graphs and applications. Trig equations and identities. Laws of sines and cosines.
Systems of equations. Polar coordinates and graphs. Elementary vector operations.
124 (5) Analytic Geometry and Calculus I
GER-NS,QS
Prereq: MATH 121 and MATH 122 with a grade of at least
2.0 or instructor permission
Families of algebraic and transcendental functions and their
derivatives. Limits, including indeterminate forms. Applications of differential
calculus. Antiderivatives.
125 (5) Analytic Geometry and Calculus II
GER-NS,QS
Prereq: Math 124 with a grade of at least 2.0 or instructor
permission.
Fundamental Theorem of Calculus. Definite and indefinite
integrals. Methods of integration. Improper integrals. Introduction to first
order differential equations.
126 (5) Analytic Geometry and Calculus III
GER-NS,QS
Prereq: MATH 125 with a grade of at least 2.0 or instructor
permission
Sequences and series. Introduction to vector calculus and
vector functions. Calculus of polar coordinates.
156 (5) Finite Mathematics
GER-NS,QS
Prereq: MATH 98 or equivalent with a grade of at least
2.0 or placement test score above MATH 098
Linear, polynomial and rational function models. Exponential
and logarithmic functions. Mathematics of finance, matrices, linear programming,
set operations, and probability.
157 (5) Elements of Calculus
GER-NS,QS
Prereq: MATH 121 or 156 with a grade of at least 2.0 or
instructor⁏s permission.
Concise course in calculus. Differential and integral calculus
of functions with an emphasis in social science, business, and economics applications.
205 (5) Linear Algebra
Prereq: MATH 224 with a grade of at least 2.0 or instructor
permission.
Applications and techniques of Linear Algebra including
systems of equations, vector spaces, matrix operations, linear transformations,
eigenvalues, eigenvectors, and characteristic polynomials. Introduction to appropriate
technology and elementary proofs.
224 (5) Multivariate Calculus
GER-NS
Prereq: MATH 126 with a grade of 2.0 or better or instructor
permission
Functions of several variables. Partial derivatives. Multiple
integrals. Vector fields. Applications of partial derivatives and multiple integrals.
Applications of Green⁏s, Stokes⁏, and Divergence Theorems.
238 (5) Differential Equations
Prereq: MATH 224 and MATH 205 with a grade of at least
2.0 or instructor permission
First order differential equations and applications. An
introduction to higher order differential equations, power series solutions,
Laplace transforms, numerical methods, and systems for ordinary differential
equations.
281 (5) Introduction to Statistics
GER-NS,QS
Prereq: MATH 98 or equivalent with a grade of at least
2.0 or placement test score above MATH 098
(Same as BUS 201)
Summarizing and describing all levels of data; central tendency,
dispersion, and skewness; probability; discrete and continuous probability distributions;
sampling methods; hypothesis testing using the normal, Student-t, and F distributions;
linear correlation and regression; and the Chi-square distribution.