| MATH 0100 Pre-Algebra, 3 credits
Prerequisite: A required score on a 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 positive integers, fractions, decimals, and percents; applications of these arithmetic skills to problems involving measurement, percent, ratio and proportion; calculator skills. The introduction to algebra consists of operations on signed numbers, simple linear equations, and an introduction to graphing.
MATH 0110 Mathematics for Health Sciences,
1 credit
Prerequisite: MATH 0100 with a grade of C or better, a required score on a math placement test, or equivalent.
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 Mathematics I, 5 credits
Prerequisite: MATH 0100 with a C or better, appropriate score on math placement test, or equivalent.
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 similarity. This course is designed for persons who have good arithmetic skills but have had no high school algebra.
MATH 0210 Mathematics II, 5 credits
Prerequisite: MATH 0200 with a grade of C or better, appropriate score on math placement test, or equivalent.
Prepares students to take any mathematics course numbered above 1000. It is a review and continuation of Math 0200. Topics include an introduction to linear and quadratic functions; exponents;polynomial, rational, and radical expressions; solutions of linear, quadratic, rational, exponential, radical and logarithmic equations; inequalities; properties of circles; solid geometric shapes; area; volume; and an introduction to right triangle trigonometry.
MATH 0220 Algebra for Liberal Arts, 3 credits
Prerequisite: MATH 0200 with a grade of C or better, a required score on a math placement test, or equivalent.
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 and inequalities, variation, arithmetic and geometric sequences, and an introduction to exponents and logarithms.
MATH 1100 Mathematics for Liberal Arts,
3 credits
(Meets MnTC Goal 4)
Prerequisite: MATH 0210 or MATH 0220 with a grade of C or better, a required score on a math placement test, or equivalent.
This course is intended for non-technical majors. The course topics may include (but are not limited to): logic, sets and counting, probability, statistics, finance, geometry, systems of equations and Markov chains, linear programming, exponential and logarithmic functions, voting methods, and an introduction to calculus.
MATH 1110 Introductory Statistics I, 3 credits
(Meets MnTC Goal 4)
Prerequisite: MATH 0210 or MATH 0220 with a grade of C or better, a required score on a math placement test, or equivalent.
Designed for students who need a practical under-standing of elementary statistics. Topics include descriptive statistics, probability, normal and binomial distributions, elementary hypothesis testing, chi-squared and t-tests, correlation, and linear regression. Students will also learn how to use a statistical software package.
MATH 1120 Mathematics for Elementary
Teachers I, 3 credits
(Meets MnTC Goal 4)
Prerequisites: MATH 0210 with a grade of C or better and a geometry course (high school or college), or equivalent.
Intended for elementary education majors. Topics include problem solving, sets, numeration systems, operations on integers, fractions and decimal numbers, number theory, and real numbers.
MATH 1200 College Algebra I, 3 credits
(Meets MnTC Goal 4)
Prerequisites: The completion of two years of high school algebra, one year of high school geometry and a required score on a math placement test, OR MATH 0210 with a grade of C or better, or equivalent.
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.
MATH 1201 College Algebra II and
Trigonometry, 4 credits
(Meets MnTC Goal 4)
Prerequisite: Math 1200 (or equivalent course) with a grade C or better, a required score on math placement test.
Topics include 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 Pre-Calculus, 5 credits
(Meets MnTC Goal 4)
Prerequisites: Appropriate score on the math placement test, or recommendation from your MATH 0210 instructor, or equivalent.
This course in intended to be a one-semester 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; introduction to linear programming, matrices and determinants; trigonometric identities; equations and applications; parametric equations; polar coordinates; sequences and series; mathematical induction; probability; conics; and modeling. (Cannot be taken for credit if student has received credit for both MATH 1200 and MATH 1201.)
MATH 1300 Finite Mathematics, 3 credits
(Meets MnTC Goal 4)
Prerequisite: MATH 1200 with a grade of C or better, or equivalent.
Designed for people majoring in life sciences, social sciences, or business. Topics include permutations and combinations, probability, matrices, systems of linear equations, linear programming, mathematics of finance, game theory, and applications.
MATH 1310 Survey of Calculus, 3 credits
(Meets MnTC Goal 4)
Prerequisite: MATH 1200 or MATH 1300 with a grade of C or better, or equivalent.
Designed for students who need a one-semester survey course in calculus. Students intending to take the calculus sequence MATH 1400 or MATH 1401 should not take this course. Topics include 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
(Meets MnTC Goal 4)
Prerequisite: MATH 1201 or MATH 1210 with a grade of C or better, a required score on a math placement test, or equivalent.
Designed for students intending to major or minor in mathematics, physics, engineering, or in other sciences. Topics include a review of functions, parametric curves and modeling; an introduction to limits, continuity, differentiation, integration and approximation of functions; and applications of calculus to graphing and to physical problems.
MATH 1401 Calculus II, 5 credits
(Meets MnTC Goal 4)
Prerequisite: MATH 1400 with a grade of C or better, or equivalent.
Designed for students intending to major or minor in mathematics, physics and engineering or in other sciences. Topics include the theory and techniques of integration, application problems involving integration, an introduction to differential equations, and infinite sequences and series.
MATH 2100 Discrete Mathematics, 4 credits
Prerequisite: MATH 1400 with a grade of C or better, or equivalent, or permission of instructor.
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 graphs, trees and spanning trees. Applications include Boolean algebra, algorithms and their efficiency, and the pigeonhole principle.
MATH 2200 Linear Algebra, 4 credits
Prerequisite: MATH 1401 with a grade of C or better, or equivalent.
Intended for students majoring in 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
Prerequisite: MATH 1401 with a grade of C or better, or equivalent.
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
Prerequisite: MATH 1401 with a grade of C or better, or equivalent.
Intended for students majoring in 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, numerical approximation of solutions.
MATH 2220 Multivariable Calculus and Vector
Analysis, 5 credits
Prerequisite: MATH 1401 with a grade of C or better, or equivalent.
Topics include vectors and analytic geometry in three dimensions, elementary calculus of vector-valued 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
Prerequisite: MATH 1401 with a grade of C or better, or equivalent, or concurrent enrollment in MATH 1401.
Topics include elementary calculus-based probability and probability distributions, sampling, descriptive statistics, normal and binomial distributions, hypothesis testing, chi-squared and t-tests, 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, 1-3 credits
Prerequisite: Two mathematics courses successfully completed.
Designed to offer students the opportunity to do extensive reading or research on a specific topic in mathematics.
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