# 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

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.