
Integrates topics of algebra throughout, including simplifying expressions and solving equations. Covers: operations with and properties of signed rational numbers; conversion between fractions, decimals, and percents; estimation; exponents; order of operations; ratios, rates, and proportions; descriptive statistics; interpretation of data from charts, tables, and graphs; US & metric measures and conversions; square roots; similarity; perimeter, area, and volume of geometric shapes; applications; graphing linear equations by pointplotting; and positive and negative slope. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of C or higher in MATH 0640.

Designed for students who need work in beginning algebra and who are preparing for Intermediate Algebra (0940), Introduction to Statistics (1103), Math for Liberal Arts (1101), or Mathematical Foundations (1107). The topics in this course include real number operations and properties; solving linear equations and inequalities; graphing linear equations; rules of exponents; polynomial operations; factoring polynomials; solving quadratic equations by factoring and with quadratic formula; solving systems of linear equations; functions; applications are embedded throughout the course. Recommendation based on the results of the Inver Hills Assessment Test within the last 2 years. This course will not fulfill any degree requirements.

MATH 0880 Intensive Introductory and Intermediate Algebra 4.0 cr
Course Outline for MATH 0880
Is a fastpaced review of algebra skills designed ONLY for students who have previously learned elementary and intermediate algebra, but who need a refresher. This is a web supplemented course. Students must be highly motivated, independent learners and can expect to spend at least 25 hours per week completing homework outside of class. Students will complete assignments online using mathematics software and take a written midterm and final exam in both 0840 and 0940. Successful students will complete both 0840 and 0940 in one semester. For course topics please refer to the descriptions for MATH0840 and MATH0940. This course will not fulfill any degree requirements.

Prepares students for course work in College Algebra (1118) or PreCalculus (1127). Course topics include graphing linear, quadratic, absolute value, square root, exponential and logarithmic functions using transformations; graphing piecewisedefined functions; factoring polynomials; solving polynomial, rational, radical, exponential, logarithmic equations and applied problems; the arithmetic of rational expressions and radical expressions; simplifying rational and radical expressions. Recommendation based on the results of the Inver Hills Assessment Test or grade of C or higher in MATH 0840 within the last 2 years.

Gives nonmathematicians an appreciation of mathematical ideas and the power and utility of mathematical skills in the modern world. Topics will be selected from: voting and weighted voting systems, fair division and apportionment; routing, minimum network and scheduling problems; mathematical growth and math of finance; descriptive statistics and data analysis; basic probability and normal distributions. Placement into Read 93/94 or a grade of C or higher in Read 90 within the last 3 years.

Presents basic statistics which includes descriptive and graphical statistics, basic probability, probability distributions, sampling distributions, confidence intervals and hypotheses testing for one or two populations, linear regression, chisquare tests, and ANOVA. Professional statistical software, such as Minitab, will be integrated throughout the class. Graphing calculator required for the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of "C" or higher in MATH 0820 or 0840 within the last 2 years.

Includes the topics: analysis of the problem solving process; sets and number systems; operations, properties, and computation with the real numbers and their classic subsets; number theory; decimals, ratio, proportion, and percents; statistics; probability; measurement; relations, functions and patterns; algebra models; geometric shapes; and applications. This course can be used for prospective elementary education majors and liberal arts students. This course meets the Minnesota Professional Educator Licensing and Standards Board (PELSB) 8710.3200, Subp. 3, Standard H1 a, b, c, H2 a, b, H3 a, b, c, d, H4 a, b, H5 a, b, H6 a, b, H7 a, b, c, d. Prerequisite: Recommendation based on the results of the Inver Hills Assessment Test or grade of "C" or higher in MATH 0840 within the last 2 years.

Prepares students for Calculus I (MATH 1133) when taken in sequence with MATH 1119 or for Survey of Calculus (MATH 1120). Topics include the study of algebraic, exponential, and logarithmic functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic equations; systems of linear and nonlinear equations; applied problems; building models from data. Use of technology will be embedded throughout the course. Recommendation based on the results of the Inver Hills Assessment Test or grade of C or higher in MATH 0940 or MATH 0880 within the last 2 years.

Prepares students for Calculus I (MATH 1133) when taken in sequence with College Algebra I (MATH 1118). Topics include trigonometric functions and their graphs, trigonometric identities and applications, law of sines and cosines, solving trigonometric and parametric equations, conic sections, polar coordinates and graphing functions in polar form, vectors and the complex plane. Use of technology will be embedded throughout the course.

Provides students with a survey of topics from differential and integral calculus. This course is not intended as a prerequisite for other courses in calculus. Topics include functions and limits; differentiation of algebraic, exponential, and logarithmic functions; basic integration including the substitution method. Applications include graphing functions, optimization problems, related rates, growth and decay models, and area under curves. Applications are drawn from the life and physical sciences, business and economics, and the social sciences. Recommendation based on the Inver Hills Assessment Test results or grade of C or higher in MATH 1118 or MATH 1127 within the last 2 years.

Prepares students for Calculus I (MATH 1133). Topics include the study of algebraic, exponential, logarithmic, and trigonometric functions; graphing functions using transformations; inverse functions; polynomial, exponential, logarithmic, and trigonometric equations; applied problems; trigonometric identities. Time permitting, building models from data may be included. Use of technology will be embedded throughout the course. Recommendation based on the Inver Hills Assessment Test results or grade of B or higher in MATH 0940 or MATH 0880 within the last 2 years.

Provides an introduction to single variable calculus and prepares students for Calculus II (MATH 1134). The topics include limits, derivatives (including trigonometric, logarithmic and exponential functions), continuity, applications of derivatives to related rates and optimization, graphing using information from the first and second derivatives, separable differential equations, Riemann Sums, basic integration techniques (including substitution), definite integrals, the Fundamental Theorem of Calculus, Trapezoidal and Simpson's Rule. Students will become proficient with a computer algebra system. Use of technology will be embedded throughout the course. Recommendation based on the Inver Hills Assessment Test results or grade of "C" or higher in MATH 1127 or MATH 1119 within the last 2 years.

Prepares students for Multivariable Calculus (MATH 2219). Is the second course in the twosemester sequence of single variable calculus. The topics include applications of the integral: area, volume, surface area, center of mass, work, liquid pressure and arc length; techniques of integration; improper integrals; conics; calculus in polar coordinates; calculus involving parametricallydefined curves; and infinite series. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

Extends concepts of singlevariable calculus to calculus of several variables. The topics include vectors in threedimensional space, quadric surfaces, limits in two and three dimensions, partial derivatives, gradients, extreme value problems, multiple integration and applications, space curves, curvature, The Frenet frame, divergence, curl, line integrals, conservative vector fields and potential functions, surface and volume integrals, Green's, Stokes' and the Divergence Theorems. Knowledge of a computer algebra system is expected. Use of technology will be embedded throughout the course.

Provides an introduction to linear algebra topics including: systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and selected applications. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

Provides an introduction to ordinary differential equations.Topics include basic definitions, concepts and terminology of ordinary differential equations. Techniques of problem solving are emphasized. Specific topics covered include: solutions and applications of firstorder differential equations, solutions of linear differential equations of higher order, applications of secondorder linear differential equations, power series solutions, the Laplace transform, systems of linear differential equations, and an introduction to numerical and graphical methods of solution. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.

MATH 2223 Linear Algebra and Differential Equations 5.0 cr
Course Outline for MATH 2223
Provides an introduction to linear algebra and ordinary differential equation topics including: systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, basic concepts and terminology of ordinary differential equations, solutions and applications of firstorder differential equations, solutions of linear differential equations of higherorder, applications of secondorder differential equations, the Laplace transform, systems of linear differential equations, and an introduction to numerical and graphical methods of solution. Techniques of problem solving are emphasized. Familiarity with a computer algebra system is expected. Use of technology will be embedded throughout the course.
