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MATH 0920 Fundamental Mathematics

Credits: 3

Prerequisites: Placement exam.

Fundamental Mathematics is a course deigned to study addition, subtraction, multiplication, and division of whole numbers, 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 0920, placement exam.

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 or placement exam.

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, conic sections, nonlinear systems of equations, and applications.

MATH 1030 Math for Information Systems Technology

Credits: 3

Prerequisites: Placement Exam or grade of “C” or better in MATH 0920.

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: A grade of C or better in MATH 1020 or placement test.

College Algebra topics include fundamentals of algebra, graphs, functions, equations, inequalities, polynomial and rational functions, exponentials and logarithmic functions, systems of equations and matrices, conic sections, and the binomial theory.

MATH 1090 Mathematics for Elementary Teachers

Credits: 3

Prerequisites: MATH 0971.

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 1100 Finite Mathematics

Credits: 4

Prerequisites: MATH 1020 or equivalent.

In Finite Mathematics, students study systems of linear equations and inequalities, matrices, linear programming by the geometric and simplex methods, counting, probability, an introduction to statistics, mathematics of finance, and mathematical models.

MATH 1150 Liberal Arts Mathematics

Credits: 3

Prerequisites: A grade of C or better in MATH 1020 or by placement exam.

Liberal Arts Mathematics is a broad-based course intended for liberal arts majors who are not required to take any further courses in mathematics. Topics covered will include sets, counting,

probability, statistics, numeration systems, number theory, social choice functions, and the mathematics of personal finance.

MATH 1200 Survey of Calculus

Credits: 4

Prerequisites: A grade of C or better in MATH 1020, or C or better in MATH 1040.

Survey of Calculus covers topics of calculus important for business applications. Topics studied include functions, limits, derivatives, techniques of differentiation, applications of the derivative, the integral, techniques of integration, differentiation and integration of logarithmic and exponential functions, and partial derivatives. Varied applications in business fields are covered.

MATH 1300 Trigonometry

Credits: 2

Prerequisites: A grade of C or better in MATH 1020 or placement exam.

In Trigonometry, students study right triangles, trigonometric functions and their graphs, inverse 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: “C” or better in MATH 1020 or placement exam. Pre-Calculus students study basic concepts of algebra, graphs, zeros and solutions of functions and equations, regression, 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 graphic 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 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 and MATH 1300, or MATH 1501 or placement test.

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, antiderivatives, 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 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 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 2111 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, eigenvalues, systems of differential equations, numerical methods, and mathematical models.