Description of Mathematics
MATH 0921 Fundamental Mathematics
Credits: 4
Prerequisites: Placement exam.
fundamental Mathematics is a course designed to study addition,
subtraction, multiplication, and division of whole numbers,
integers, decimals and fractions. It also covers the concepts of
ratio, percent, proportion, algebraic expressions, linear equations,
and applications. It may not be taken for credit by students
who have earned credit with a grade of “C” or better in
courses for which fundamental Mathematics is a prerequisite.
MATH 0971 Beginning Algebra
Credits: 4
Prerequisites: MATH 0921 with a grade of “C” or better, placement
exam, or equivalent.
Beginning Algebra is designed to study operations on real numbers,
manipulations of basic algebraic expressions, operations
with linear and absolute value expressions, solving equations
and inequalities, graphs, functions, solving systems of equations
and inequalities, operations on polynomials and polynomial
functions including factoring, and applications. The use of
graphing utilities to solve equations and graph functions will be
investigated. Beginning Algebra may not be taken for credit by
students who have earned credit with a grade of “C” or better
in courses for which Beginning Algebra is a prerequisite.
MATH 1020 Advanced Algebra
Credits: 3
Prerequisites: MATH 0971 with a grade of “C” or better, or
placement exam, or equivalent.
Advanced Algebra is designed to study manipulation of rational
expressions, solving rational equations, manipulation of radical
expressions and rational exponents, solving radical equations,
complex numbers, solving quadratic equations, parabolas, exponential
and logarithmic functions, inverse and composite functions,
and applications.
MATH 1030 Mathematics for Information
Systems Technology
Credits: 3
Prerequisites: Placement exam or Math 0921 with a grade of
“C” or better.
Mathematics for Information Systems Technology covers topics
which include problem-solving, number theory, introductory algebra,
sets, counting, introductory probability and statistics, mathematics
of personal finance, and number systems with bases
other than ten. This course is not part of the Minnesota Transfer
Curriculum.
MATH 1040 College Algebra
Credits: 4
Prerequisites: MATH 1020 with a grade of “C” or better, or
placement exam.
College Algebra topics include fundamentals of algebra, graphs,
functions, equations, inequalities, polynomial and rational functions,
exponential and logarithmic functions, systems of equations
and matrices, conic sections, and the binomial theorem.
MATH 1090 Mathematics for Elementary Teachers
Credits: 3
Prerequisites: MATH 0971 or placement exam.
Mathematics for elementary Teachers provides background for
teaching contemporary mathematics in the elementary school.
The use of mathematics manipulatives for modeling the basic
operations is emphasized. Set theory; numeration; number
bases; prime and composite numbers; greatest common factors;
least common multiples; and the systems of whole numbers,
integers, and rational numbers are included.
MATH 1140 Liberal Arts Mathematics
Credits: 3
Prerequisites: Math 0971 with a grade of “C” or better, or
placement exam.
Liberal Arts Mathematics topics include problem solving and
critical thinking, sequences, consumer mathematics and financial
management, measurement, geometry, counting methods
and probability theory, and statistics.
MATH 1300 Trigonometry
Credits: 2
Prerequisites: MATH 1020 with a grade of “C” or better or
placement exam.
In Trigonometry, the students study right triangles, trigonometric
functions and their graphs, trigonometric identities, inverse
trigonometric functions and their graphs, trigonometric equations,
oblique triangles, the Law of Sines, the Law of Cosines,
complex numbers, DeMoivre’s Theorem, vectors, and polar
coordinates.
MATH 1501 Pre-Calculus
Credits: 5
Prerequisites: MATH 1020 with a grade of “C” or better or
placement exam.
Pre-Calculus students study basic concepts of algebra, graphs,
zeros and solutions of functions and equations, inequalities,
polynomial and rational functions, exponential and logarithmic
functions, the trigonometric functions, trigonometric identities,
trigonometric equations, inverse functions, systems of equations
and matrices, conic sections, and the use of graphing calculators.
The course emphasizes the skills and concepts
necessary in Calculus.
MATH 2010 Statistics
Credits: 4
Prerequisites: A grade of C or better in MATH 1020.
Statistics is a course designed to study descriptive statistics,
probability, probability distributions, the normal distribution,
sampling distributions, the central limit theorem, hypothesis
testing, analysis of variance, correlation analysis, regression
analysis, multiple regression analysis, chi-square distributions,
nonparametric hypothesis testing, and quality charting. A statistical
software package will be used by the student.
MATH 2101 Calculus 1
Credits: 5
Prerequisites: Math 1040 with a grade of “C” or better and
MATH 1300 with a grade of “C” or better; or MATH 1501 with a
grade of “C” or better; or placement exam.
Calculus 1 covers rates of change, limits, vertical asymptotes,
continuity, tangents, basic derivatives, differentiation rules, the
derivative as a rate of change, derivatives of trigonometric functions,
the chain rule, parametric equations, implicit differentiation,
related rates, linearization and differentials, extreme
values, the Mean Value Theorem, monotonic functions and the
first Derivative Test, concavity and curve sketching, optimization
problems, indeterminate forms, L’Hopital’s rule, Newton’s
method, anti-derivatives, finite sums, sigma notation, limits of finite
sums, the definite integral, the fundamental theorem of calculus,
indefinite integrals, the substitution rule, area between
curves, and applications of integrals.
MATH 2111 Calculus 2
Credits: 5
Prerequisites: MATH 2101 with a grade of “C” or better or
equivalent.
Calculus 2 covers applications of definite integrals including volume,
length, moments, centers of mass, surface area, the Theorems
of Pappus, work, fluid pressures and forces; inverse
functions and their derivatives; differentiation and integration of
logarithmic, exponential, trigonometric, inverse trigonometric,
hyperbolic, and inverse hyperbolic functions; techniques of integration
including formulas, integration by parts, partial fractions,
and numerical integration; improper integrals; conic
sections; polar coordinates; sequences; series; and convergence
tests.
MATH 2121 Calculus 3
Credits: 5
Prerequisites: Math 2111 with a grade of “C” or better or
equivalent.
Calculus 3 focuses on three-dimensional coordinate systems,
vectors, dot and cross products, lines and planes in space,
cylinders and quadric surfaces, vector functions, projectile motion,
arc length and the unit tangent vector, curvature and the
unit normal vector, torsion and the unit binormal vector, functions
of several variables, limits and continuity in higher dimensions,
partial derivatives, the chain rule, directional derivatives
and gradient vectors, tangent planes and differentials, extreme
values and saddle points, Lagrange multipliers, partial derivatives
with constrained variable, Taylor’s formula for two variables
double integrals, double integrals in polar form, triple integrals
in rectangular, cylindrical, and spherical form; areas, moments,
and centers of mass, substitutions in multiple integrals;
line integrals; vector fields, work, circulation, and flux; path independence,
potential functions, and conservative fields; Green’s
Theorem; surface area and surface integrals; parameterized
surfaces; Stokes’ Theorem; and the Divergence Theorem.
MATH 2211 Differential Equations with
Introductory Linear Algebra
Credits: 5
Prerequisites: A grade of C or better in MATH 2110 or equivalent.
Differential equations with Introductory Linear Algebra focuses
on first and second-order differential equations, higher order differential
equations, Laplace transforms, vectors, matrix algebra,
eigenvectors and eigen values, systems of differential equations,
numerical methods, series solutions ,and mathematical
models.