# Academic Departments

### Contact Information

Admissions Team

admissions@inverhills.edu

Phone: 651-450-3000

Toll-free: 866-576-0689

Location: College Center

# Curriculum

List of Courses Offered in the Math Department

Mathematics Course Descriptions

Flow Chart Showing the General Sequence of Courses

Flow Chart Showing the Sequence of Courses by Major

** Courses offered in the Mathematics department:**

**Prerequisites:** All prerequisites must have been completed or assessments taken within two years
of the course start date. Students must be sure that they meet the prerequisite in
order to be successful in a mathematics course. The College reserves the right to
drop a student from a class without refund if the prerequisite has not been met.

#### Pre-College level courses:

MATH 0500 Arithmetic & Algebra Review (formerly Math 50)

MATH 0640 Essential Mathematics (formerly Math 90)

MATH 0740 Pre algebra (formerly Math 92)

MATH 0780 Accelerated Combined MATH 0740 / MATH 0840 (formerly Math 93)

MATH 0820 Algebra Fundamental

MATH 0840 Introductory Algebra (formerly Math 94)

MATH 0880 Accelerated Combined MATH 0840/MATH 0940 (formerly Math 98)

MATH 0940 Intermediate Algebra (formerly Math 99)

INTS1080 Medical Dosages

#### College level courses:

MATH 1101 Math for Liberal Arts

MATH 1103 Introduction to Statistics

MATH 1107 Mathematical Foundations

MATH 1118 College Algebra I

MATH 1119 College Algebra II

MATH 1120 Survey of Calculus

MATH 1127 Pre Calculus

MATH 1133 Calculus I

MATH 1134 Calculus II

MATH 2219 Multivariable Calculus

MATH 2223 Linear Algebra and Differential Equations

## Course Descriptions

##### MATH 0500 Arithmetic & Algebra Review 1 cr (formerly Math 50)

Provides an intensive arithmetic and elementary algebra review that may be taken before taking the IHCC assessment inventory. The student may also take this review and then re-assess. The course is designed only for students who have previously learned arithmetic and elementary algebra but need a refresher. Each class will consist of a fast-paced review of specific topics.

##### MATH 0640 Essential Mathematics 2 cr (formerly Math 90)

Covers basic arithmetic operations by both hand computation and calculator of whole numbers, fractions, mixed numbers, decimals and percents; comparisons and conversions among different forms of whole numbers, fractions, mixed numbers, decimals, and percents; estimation; numbers properties; natural number exponents; order of operations; and applications. Prereq: Recommendation based on the results of the Inver Hills Assessment.

##### MATH 0740 Prealgebra 4 cr (formerly Math 92)

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 point-plotting; 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.

##### MATH 0780 Accelerated Combined MATH 0740/Math 0840 4 cr (formerly Math 93)

Is a combined course that allows students to complete both Math 0740 and Math 0840 in one semester. It is a web supplemented course with reduced class time meant as an accelerated review for students who are highly motivated and independent learners with basic computer skills. Requires a minimum of 16 hours of work per week outside of class. Students complete assignments online using math software and some paper-pencil tests; class time is used for monitoring progress and answering questions. The math software used is Internet Explorer supported only. MATH 0740: 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 point-plotting; and positive and negative slope. MATH 0840: Course topics include real number operations and properties; integer exponents; radicals; polynomial operations; reduction, multiplication, and division of rational expressions; solving linear equations and inequalities; solving quadratic equations by factoring; solving square root equations; graphing equations in two variables; and applications of the above topics. This course will not fulfill any degree requirements. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or grade of "C" or higher in Math 0640.

**MATH 0820 Algebra Fundamentals 4 cr**

Is a course designed to cover algebra topics that are prerequisite to Math 1101, 1103, and 1107. It will not fulfill the prerequisite for Math 1118 or 1127. Topics include: order of operations; exponents; scientific notation; significant digits; variables; expressions; linear equations and inequalities; linear problem solving; proportions; linear graphs; intro to functions; 2x2 systems of equations; quadratic, square root, and exponential functions and their graphs; regression and modeling; summation notation; applications integrated throughout; and use of a graphing utility or Excel spreadsheets integrated throughout.

##### MATH 0840 Introductory Algebra 4 cr (formerly Math 94)

Is the first of a two-semester pre-college algebra sequence. The course is for students needing work in beginning algebra who are preparing for intermediate algebra. The topics in this course include real number operations and properties; integer exponents; radicals; polynomial operations; reduction, multiplication, and division of rational expressions; solving linear equations and inequalities; solving quadratic equations by factoring; solving square root equations; graphing equations in two variables; and applications of the above topics. This course will not fulfill any degree requirements. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or grade of "C" or higher in MATH 0740.

##### MATH 0096 Topics in Intermediate Algebra 3 cr (last time offered will be Summer 2011)

Can be taken in place of Math 0940 to fulfill the intermediate algebra prerequisite for Math 1101 and Math 1103. This course will NOT fulfill the intermediate algebra prerequisite requirement for Math 1105, Math 1106, Math 1118, or Math 1127. Topics include functions, linear functions and slope, linear inequalities in one and two variables, compound inequalities, linear systems in two and three variables, matrices, integer exponents, radicals and radical functions, rational exponents, complex numbers, polynomial functions, the quadratic function and its graph, solving quadratic equations, quadratic formula, exponential functions, logarithmic expressions and functions, summation notation, and sequences and series. Applications will be integrated throughout. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of "C" or higher in MATH 0840.

##### MATH 0880 Accelerated Combined MATH 0840/Math 0940 4 cr (formerly Math 98)

Is a combined course that allows students to complete both Math 0840 and Math 0940 in one semester. It is a web supplemented course with reduced class time meant as an accelerated review for students who are highly motivated and independent learners with basic computer skills. Requires a minimum of 16 hours of work per week outside of class. Students complete assignments online using math software and some paper-pencil tests; class time is used for monitoring progress and answering questions. The math software used is Internet Explorer supported only. MATH 0840: Course topics include real number operations and properties; integer exponents; radicals; polynomial operations; reduction, multiplication, and division of rational expressions; solving linear equations and inequalities; solving quadratic equations by factoring; solving square root equations; graphing equations in two variables; and applications of the above topics. MATH 0940: Course topics include applications of linear equations; linear inequalities in one variable; absolute value equations and inequalities; polynomial arithmetic and factoring; the arithmetic of rational expressions; complex fractions; polynomial and synthetic division; rational equations and applications; rational exponents and radicals; complex numbers; quadratic equations and applications; nonlinear inequalities in one variable; linear equations and their graphs; linear inequalities in two variables; functions; variation; linear systems of equations and applications; matrices; quadratic functions and parabolas; inverse functions; exponential and logarithmic functions; exponential and logarithmic equations and applications. This course will not fulfill any degree requirements. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of "C" or higher in MATH 0740.

##### MATH 0940 Intermediate Algebra 5 cr (formerly Math 99)

Is the second semester of a two-semester sequence intended for students preparing for course work in Math for Elementary Education, College Algebra, or Pre-Calculus. Course topics include applications of linear equations; linear inequalities in one variable; absolute value equations and inequalities; polynomial arithmetic and factoring; the arithmetic of rational expressions; complex fractions; polynomial and synthetic division; rational equations and applications; rational exponents and radicals; complex numbers; quadratic equations and applications; nonlinear inequalities in one variable; linear equations and their graphs; linear inequalities in two variables; functions; variation; linear systems of equations and applications; matrices; quadratic functions and parabolas; inverse functions; exponential and logarithmic functions; exponential and logarithmic equations and applications. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of C or higher in MATH 0840.

##### MATH 1101 Math for Liberal Arts 3 cr

Is designed to give non-mathematicians 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. Prereq: Recommendation based on the results of the Inver Hills/Assessment Inventory or a grade of "C" or higher in MATH 0096/0820/0880/0940.

##### MATH 1103 Introduction to Statistics 4 cr

Presents basic statistics for business management, economics, education, psychology, science or sociology majors. Topics include descriptive and graphical statistics, basic probability, probability distributions, sampling distributions, confidence intervals, hypotheses testing, linear regression, chi-square tests, and ANOVA. Approximately 20 hours of computer time outside of class is required for Minitab proficiency. Prereq.: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of "C" or higher in MATH 0096/0820/0880/0940.

##### MATH 1107 Mathematical Foundations 4 cr

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. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or grade of "C" or higher in Math 0820/0880/0940, or completion of a college level math course.

##### MATH 1118 College Algebra I 4 cr

Prepares students for Math 1120. It may also be taken as a first course in a sequence with Math 1119 to prepare students for the Calculus sequence (MATH 1133). Topics include algebraic, exponential, and logarithmic functions; graphing absolute value, reciprocal, square root, piecewise defined, polynomial, rational, logarithmic, and exponential functions; transformations, inverse functions, modeling problems, zeros of polynomials, systems of linear and non-linear equations, and matrices. Time permitting, additional topics selected from data analysis, determinants, arithmetic and geometric sequences, linear programming, and binomial theorem. Graphing calculator required. Prerequisite: Recommendation based on the results of the Inver Hills Assessment Inventory or grade of C or higher in Math 0940.

##### MATH 1119 College Algebra II 3 cr

Is the second course in a two-semester sequence preparing students for the Calculus sequence. Topics include trig functions, identities and applications, law of sines and cosines, graphing, and solving trig equations, parametric equations, conics and polar coordinates. Graphing calculator required. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of C or higher in MATH 1118.

##### MATH 1120 Survey of Calculus 3 cr

Prepares students who may be required to have an introductory course in calculus for business, forestry, and other majors. 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; application of differentiation to optimization problems, especially business-related problems; integration of the basic forms of the previously mentioned functions, with applications to area and economics. Graphing calculator is required. Prereq: Recommendation based on the Inver Hills Assessment Inventory results or grade of "C" or higher in MATH 1118 or MATH 1127.

##### MATH 1127 PreCalculus 5 cr

Is a preparation for the calculus sequence. Topics include the study of algebraic, exponential, logarithmic, and trigonometric functions; graphs of absolute value, radical, polynomial, rational, logarithmic, exponential, and trigonometric functions; graph reading, transformations; additional topics include solving equations, inequalities, trigonometric identities, right triangle trig., polar coordinate and binomial theorem. Graphing calculator is required. Prereq: Recommendation based on the results of the Inver Hills Assessment Inventory or a grade of B or higher in MATH 0940.

##### MATH 1133 Calculus I 5 cr

Is intended for students majoring in math, computer science, engineering, science, pharmacy, architecture or pre-med. The topics include limits, derivatives (including trigonometric, exponential and logarithmic functions), continuity, applications of derivatives to related rates, max/min and graphing, differential equations, Riemann Sums, basic integration techniques, definite integrals, Fundamental Theorem of Calculus, Trapezoidal and Simpson's Rule. Students will become proficient with a graphing calculator and a computer algebra system such as Maple. Graphing calculator is required. Prereq: Recommendation based on the Inver Hills Assessment Inventory results or grade of "C" or higher in MATH 1127 or MATH 1119.

##### MATH 1134 Calculus II 5 cr

Is a continuation of Math 1133. Topics include applications of the integral-area, volume, center of mass, work, liquid pressure and arc length; techniques of integration, conics, polar coordinates, improper integrals, and infinite series. Prereq: Grade of C or higher in MATH 1133.

##### MATH 2219 Multivariable Calculus 5 cr

Is intended for students majoring in math, science, computer science or engineering. The topics include vectors in three-dimensional space, quadric surfaces, limits in two and three dimensions, partial derivatives, gradients, extreme value problems, multiple integration, 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 such as DERIVE is expected. Prereq: Grade of C or higher in MATH 1134.

##### MATH 2223 Linear Algebra and Differential Equations 5 cr

Is intended for students majoring in math, science, computer science or engineering. Topics include systems of linear equations, matrices, determinants, vector spaces, linear transformations and eigenvalues and eigenvectors, basic definitions, ideas, and terminology of ordinary differential equations. Emphasis on the techniques of problem solving. Specific topics covered include solutions and applications of first-order differential equations, solutions of linear differential equations of higher order, applications of second-order linear differential equations, power series solutions, the Laplace transform, and systems of linear differential equations. There is also an introduction to numerical and graphical methods of solution. Selected applications and use of technology will be included. Graphing calculator required and knowledge of a computer algebra system such as Derive, Maple, or Mathematica expected. Prereq: Grade of "C" or higher in Math 2219.

Here are a few flow charts to help you plan your schedule: