
Course Descriptions & Course Outlines
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Mathematics
MATH 0100  PreAlgebra,
3 credits
Common Course Outline
Prerequisite: Required score on math placement test
Review of the mathematical skills needed for the study of algebra as well as a brief introduction to algebra. Topics include the arithmetic of integers, fractions, decimals, and percents; applications of these arithmetic skills to problems involving measurement, percent, ratio, and proportion; and math study skills. The introduction to algebra consists of operations on signed numbers, algebraic expressions, solving linear equations and an introduction to graphing.
MATH 0110  Mathematics for Health Sciences,
1 credit
Common Course Outline
Prerequisite: MATH 0100 with a grade of C or better or appropriate score on a math placement test
Topics include operations with conversion equivalents in standard systems of measurement and the solution of situational problems of drug administration, including oral doses, injections, drugs measured in Units, IV flow rates, and pediatric dosages.
MATH 0200  Beginning Algebra,
5 credits
Common Course Outline
Prerequisites: MATH 0100 with a grade of C or better or appropriate score on the math placement test
Recommended Skills, Abilities, or Coursework: This course is designed for persons who have good arithmetic skills, but have had no high school algebra.
Introduction to the basic ideas of algebra and geometry. Topics include properties of the real number system; arithmetic of signed numbers; simplifying and factoring algebraic expressions; operations on polynomial, radical, and rational expressions; methods for solving linear equations, proportions and quadratic equations; applications of these equations; methods for solving linear inequalities; and graphing basic equations in two variables. Also included is a study of angle relationships; parallel lines; properties of triangles, circles and quadrilaterals; area and volume of solid geometric shapes; and similarity.
MATH 0205  Introduction to Mathematical Reasoning,
5 credits
Common Course Outline
Prerequisites: MATH 0100 with a grade of C or better or appropriate score on the math placement test
Recommended Skills, Abilities, or Coursework: This course is designed for persons who have good arithmetic skills and have had some high school algebra.
Prepares students to take Liberal Arts mathematics or Introduction to Statistics. The goal of this course is to allow students who have basic algebraic skills, but who place into Elementary Algebra, to enroll in either of the abovementioned collegelevel math courses after one semester.
Topics include properties of the real number system; arithmetic of signed numbers; simplifying algebraic expressions; operations on polynomial expressions; methods for solving linear equations, proportions and power equations; applications of these equations; exponential functions and their applications; sequences; math modeling examples and using graphs to answer questions.
MATH 0210  Intermediate Algebra,
5 credits
Common Course Outline
Prerequisites: MATH 0200 with a grade of C or better or appropriate score on math placement test
Prepares students to take any mathematics course numbered above 1000. It is a continuation of Math 0200. Topics include an introduction of linear and quadratic functions; exponents; polynomial, rational and radical expressions; solutions of linear, quadratic, rational, exponential, radical and logarithmic equations; inequalities; and an introduction to right triangle trigonometry.
MATH 0220  Algebra for Liberal Arts,
3 credits
Common Course Outline
Prerequisites: MATH 0200 with a grade of C or better or appropriate score on math placement test
This course is only for students intending to take MATH 1100 or MATH 1110 as their FINAL mathematics course. This course is NOT the prerequisite for MATH 1200 or MATH 1120. Topics include an overview of equations, inequalities, graphs, functions, systems of equations, linear inequalities, variations, introduction to exponents, application of percents, and an introduction to concepts in probability, statistics, and set theory.
MATH 1100  Mathematics for Liberal Arts,
3 credits
Common Course Outline
(Meets MnTC Goal 4)
Prerequisite: MATH 0205 or MATH 0210 or MATH 0220 with a grade of C or better or appropriate score on math placement test
This course is designed for students intending to major in liberal arts areas such as English, the social sciences, foreign languages, art, music, etc. The course topics may include (but are not limited to) sets and counting, patterns and symmetry, data collection, probability, statistics, normal distributions, personal finance, voting methods, weighted voting and power, apportionment methods, sequences, mathematical modeling, and graph theory. Note: this course is not a prerequisite for any higherlevel math courses.
MATH 1110  Introduction to Statistics,
3 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisite: MATH 0205 or MATH 0210 or MATH 0220 with a grade of C or better or required score on math placement test
Introductory course in data description and analysis using graphical and numerical methods. Students will work with discrete and continuous random variables and their probability distributions with emphasis on the normal distribution. Topics include: Experimental design and sampling methods; confidence intervals, sample size, and hypothesis testing for one and two population means or proportions; use of statistical software.
MATH 1120  Mathematics for Educational Arts,
3 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisites: MATH 0210 with a grade of C or better or appropriate score on math placement test Transfer course intended for bachelor programs in education. Topics include problem solving; sets; numeration systems; operations on integers; fractions and decimal numbers; number theory; and real numbers.
MATH 1189  Topics:,
Common Course Outline
This course has been developed as a potential permanent course. The course must follow all the same policies and procedures related to curriculum outlined by the college. It does not duplicate existing course offerings. Refer to course notes for specific course description.
MATH 1200  College Algebra I,
3 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisites: Math 0210 with a grade of C or better or appropriate score on the math placement test
Topics include functions and function inverses; exponential and logarithmic functions; polynomial and simple rational functions; introduction to linear programming; systems of equations and inequalities; sequences and series; probability; and modeling. The completion of two years of high school algebra and one year of high school geometry is recommended.
MATH 1201  College Algebra II and Trigonometry,
4 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisites: MATH 1200 with a grade C or better or appropriate score on math placement test
Topics covered are trigonometric and circular functions; trigonometric identities and equations; inverse trigonometric functions; rational functions; introduction to matrices and determinants; conics; parametric equations; polar coordinates; and modeling.
MATH 1210  PreCalculus,
5 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisites: Appropriate score on the math placement test or recommendation from your Math 0210 instructor
This course is intended to be a onesemester path to Calculus for students who have had at least three years of high school mathematics, including trigonometry. This course consists of material from Math 1200 and Math 1201. Topics include polynomial, rational, exponential, logarithmic, and trigonometric functions and their inverses; systems of equations and inequalities; matrices and determinants; trigonometric identities; equations and applications; parametric equations; polar coordinates; sequences and series; probability; conics and modeling. (Cannot be taken for credit if student has received credit for both Math 1200 and Math 1201.)
MATH 1310  Survey of Calculus,
3 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisite: MATH 1200 with a grade of C or better Designed for students who need a onesemester survey course in calculus. Students intending to take the calculus sequence of MATH 1400 or MATH 1401 should not take this course. Topics included are functions; limits; differentiation of algebraic, exponential and logarithmic functions; integration with standard forms; and applications to management, social, and life sciences.
MATH 1400  Calculus I,
5 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisite: MATH 1201 or MATH 1210 with a grade of C or better or appropriate score on math placement test
Transfer course intended for bachelor programs in technology, engineering, mathematics, or science, including natural, physical, and social sciences. Topics include limits, derivatives (including trigonometric functions), continuity, applications of derivatives to related rates, optimization and graphing, simple differential equations, Riemann Sums, basic integration techniques, definite integral, and the Fundamental Theorem of Calculus. Students will become proficient with appropriate technology.
MATH 1401  Calculus II,
5 credits
Common Course Outline
(Meets MnTC Goal 4) Prerequisite: MATH 1400 with a grade of C or better
A continuation of Math 1400, this is a transfer course intended for Bachelor programs in technology, engineering, mathematics, or science, including natural, physical, and social sciences. Topics include the theory and techniques of integration, application problems involving integration, an introduction to differential equations, and infinite sequences and series, polar coordinates, and parametric curves.
MATH 2100  Discrete Mathematics,
4 credits
Common Course Outline
Prerequisite: MATH 1400 with a grade of C or better Intended for Math and/or Computer Science majors/minors. Topics include logic; sets; functions; partitions and equivalence relations; binary operations; composition of functions; mathematical induction; combinatorics; matrix representations of graphs; isomorphisms of graphics trees and spanning trees; recurrence relations; and generating functions. Applications include Boolean algebra; algorithms and their efficiency; pigeon hold principle, and the halting problem.
MATH 2200  Linear Algebra,
4 credits
Common Course Outline
Prerequisite: MATH 1401 with a grade of C or better Intended for students in the areas of engineering, sciences, or mathematics. Topics include matrix operations; systems of linear equations; determinants; vectors and vector spaces; linear transformations; eigenvalues and eigenvectors; and orthogonality. Supplementary topics and computer assignments may vary.
MATH 2201  Introductory Linear Algebra,
2 credits
Common Course Outline
Prerequisite: MATH 1401 with a grade of C or better
Intended for students in the areas of engineering, sciences, or mathematics who only need an introduction to linear algebra. Topics include matrix operations, systems of linear equations, Gaussian elimination, determinants, matrix inverses, vectors, vector spaces, subspaces, linear independence, dimension, eigenvalues, eigenvectors, and diagonalization.
MATH 2210  Differential Equations,
4 credits
Common Course Outline
Prerequisite: MATH 1401 with a grade of C or better Intended for students in the areas of engineering, sciences, or mathematics. Topics include first and second order differential equations; existence and uniqueness of solutions; systems of linear differential equations; undetermined coefficients; variation of parameters; Laplace transforms; and numerical approximation of solutions.
MATH 2220  Multivariable Calculus and Vector Analysis,
5 credits
Common Course Outline
Prerequisite: MATH 1401 with a grade of C or better
Topics include vectors and analytic geometry in three dimensions; elementary calculus of vectorvalued functions; elementary calculus of functions of several variables; multiple integration; vector calculus topics including Green's Theorem and Stokes' Theorem.
MATH 2230  Probability and Statistics,
3 credits
Common Course Outline
Prerequisite: MATH 1401 with a grade of C or better or concurrent enrollment in MATH 1401 Topics include elementary calculusbased probability and probability distributions, sampling, descriptive statistics, normal and binomial distributions, hypothesis testing, chisquared and ttests, correlation, linear regression analysis, and quality control. Students will also learn how to use a statistical software package. Treatment is more mathematical than in MATH 1110.
MATH 2299  Independent Study,
Common Course Outline
Independent Study allows a student to earn credit while participating in a supervised learning experience in a communitybased or work setting. Students must have successfully completed two courses in the discipline in which they want to undertake independent study. Forms are available in the Educational Services Office. All arrangements must be made prior to registration for the semester in which the project is scheduled and must be approved by the appropriate Dean of Educational Services. In addition, a project outline must be approved by the instructor who will supervise the student's work.

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