Courses in Math

Introductory Algebra

MATH 0075     4.00 Credits
Course Outline
This course is designed to provide students with a review of basic fundamentals of algebra and mathematics. Topics include: algebraic expressions, functions, polynomials, exponents, solving and graphing linear equalities and inequalities, interpreting data in graphical form, factoring polynomials, simplifying rational expressions, and solving and simplifying radical and rational equations. Students needing foundational level improvement are highly encouraged to gain this first and/or concurrently with this course. Minnesota K-12 Academic Standards in Mathematics indicated in parenthesis after each competency on the Common Course Outline. (Prerequisites: None)

Intermediate Algebra

MATH 0085     4.00 Credits
Course Outline
This course is function - based. It starts with a general overview of equations and inequalities. It then proceeds to cover linear functions, polynomial and rational functions, quadratic functions, equations involving radicals, and absolute values. Minnesota K-12 Academic Standards in Mathematics are indicated in parentheses after each competency on the Common Course Outline. (Prerequisites: Must have a score of 56 or higher on the Arithmetic portion of the Accuplacer test or completion of MATH 0075 with a grade of C or higher)

Elementary and Intermediate Algebra

MATH 0095     6.00 Credits
Course Outline
This course is function - based. It starts with a brief overview of the number system and continues through equations and inequalities. It then proceeds to cover linear functions, polynomial and rational functions, quadratic functions, equations involving radicals, and absolute values. This course includes the latter part of Math 0075 and all of Math 0085. Minnesota K-12 Academic Standards in Mathematics are indicated in parentheses after each competency on the Common Course Outline. (Prerequisite: score 36 or above on the Accuplacer Arithmetic test or a score of 250 on the Arithmetic portion of the Next Generation Accuplacer.)

Elementary Algebra (CONSORTIUM)

MATH 100     3.00 Credits
Consortium Course Iowa Lakes Community College

Mathematics for Technical Careers

MATH 1050     3.00 Credits
Course Outline
Designed primarily for those entering the technical fields, this course develops a number of essential mathematical techniques in algebra, trigonometry and geometry. Among other things, the participant will learn how to simplify and factor algebraic expressions, solve linear and quadratic equations and systems of linear equations, evaluate and use the six trigonometric functions in computing triangle results, and apply geometric concepts to the measurement of both two- and three-dimensional objects. This course is not a prerequisite for college level math courses. (Prerequisite: Must have a score of 56 or higher on the Arithmetic portion of the Accuplacer test or completion of MATH 0075 with a grade of C or higher)

Concepts in Math

MATH 115     4.00 Credits
Course Outline
Concepts in Mathematics is a general education survey course designed to spotlight the field as an important component of our cultural heritage. It introduces a broad range of topics from classical as well as modern mathematics. The emphasis is on problem solving and developing the logical skills to successfully defend solutions, while at the same time showing how mathematics is a creative human endeavor influencing how we perceive the world. Among the major topics considered are logic, set theory, axiomatic systems, number theory, number systems, analytic geometry, algebra, combinatorics, and elementary probability. (Prerequisites: Must have a score of 76 or higher on the Elementary Algebra portion of the Accuplacer test or completion of MATH 0085 with a grade of C or higher) (MNTC 4: Math/Logical Reasoning)

College Algebra

MATH 120     4.00 Credits
Course Outline
This course is mainly concerned with functions, most of which are algebraic. It begins with general treatment of equations and inequalities and then proceeds to cover linear functions, quadratic functions, polynomial and rational functions, piecewise functions, equations involving radicals and absolute values, logarithms and exponentials, systems of equations and inequalities, permutations and combinations. (Prerequisites: Completion of MATH 0085 with a grade of C or higher, or an Accuplacer test score of 56 in Elementary Algebra and a score of 50 in College Level Mathematics.) (MNTC 4: Mathematical/Logical Reasoning)

College Algebra (CONSORTIUM)

MATH 121     4.00 Credits
Consortium Course Iowa Lakes Community College

Trigonometry

MATH 125     3.00 Credits
Course Outline
A study of the six trigonometric functions, their inverses and their applications forms the heart of this course. First, the two common methods of angle measure are derived along with the related notions of length of arc and area of a sector. Then the trigonometric functions are defined in terms of the unit circle and their properties such as domain, range, period and amplitude are explored, along with their associated graphs. This leads to a study of identities and conditional equations. Triangle trigonometry and real-world applications follow, with an investigation of associated themes such as vectors, exponential and logarithmic functions.(Prerequisites: MATH 120 with a grade of C or better or a score of 63 or above on the College Level Mathematics portion of the Accuplacer test.) (MNTC 4: Mathematical/Logical Reasoning)

Pre-Calculus

MATH 130     4.00 Credits
Course Outline
This is an accelerated course covering many topics from both College Algebra and Trigonometry. These include functions, graphs of functions, analytic geometry of the conic sections, systems of equations and inequalities, elementary matrix operations and determinants, properties and applications of exponential, logarithmic and trigonometric functions, complex numbers, vectors, polar coordinates and elementary combinatorics. Should not be taken for credit in addition to either MATH 120 or MATH 125. (Prerequisites: A score of 86 or higher on the College Level mathematics portion of the Accuplacer test.) (MNTC 4: Mathematical/Logical Reasoning)

Calculus I

MATH 131     4.00 Credits
Course Outline
This course introduces the key concepts of the derivative and the integral. Beginning with the definition of limit, the notion of continuity is developed which is perhaps the most important thread running throughout the calculus. This leads naturally to the process of differentiation and then integration, concluding with the all important Fundamental Theorem of the Calculus. Along the way, applications to classical and modern science, economics, the social sciences and other fields are explored. (Prerequisites: MATH 125 or MATH 130 with a grade of C or higher, or a score of 103 or higher on the College Level Mathematics portion of the Accuplacer test.) (MNTC 4: Mathematical/Logical Reasoning)

Calculus II

MATH 132     4.00 Credits
Course Outline
In this continuation of Calculus I, you will begin by investigating more applications of the definite integral, along with useful techniques for evaluating them. This leads in a natural way to a brief introduction to differential equations, and the evaluation of improper integrals and indeterminate forms. Next, the calculus of the transcendental functions is explored in some detail. Then the study of sequences and series is taken up, including power series and Taylor series. Important geometrical concepts such as polar coordinates, parametric equations and vectors in the plane and in space are also covered. (Prerequisites: MATH 131, with a grade of C or better) (MNTC 4: Mathematical/Logical Reasoning)

Elementary Statistics

MATH 154     4.00 Credits
Course Outline
This course introduces the essential mathematical elements of statistics, applying them to a broad range of areas including business, manufacturing, economics, and the physical, biological and social sciences. Topics include descriptive measures of data, measures of central tendency, variability, standard probability distributions, tests of hypotheses, confidence intervals, and estimation. To put the treatment on a strong foundation, concepts of probability are developed throughout, and shown to form the unifying theme behind modern statistics. (Prerequisites: Two years of high school algebra, completion of MATH 0085 with a grade of C or higher or a score of 75.5 or higher on the Elementary Algebra portion of the Accuplacer test) (MNTC 4: Mathematical/Logical Reasoning)

Ordinary Differential Equations

MATH 231     4.00 Credits
Course Outline
This is a traditional introductory course in ordinary differential equations for students pursuing careers in engineering, mathematics and the sciences; the focus is primarily on lower order equations. Topics include the solution of linear equations with constant coefficients, homogeneous and nonhomogeneous equations, assorted methods such as undetermined coefficients, variation of parameters and Laplace transforms. Also studied are existence and uniqueness theorems, numerical approximations, operator methods and various applications to physical phenomena. (Prerequisite: MATH 132 with a grade of C or higher) (MNTC 4: Mathematical/Logical Reasoning)

Multivariable Calculus

MATH 233     4.00 Credits
Course Outline
Multivariable Calculus extends the notions of Calculus I and Calculus II to functions of more than one variable. Topics include such things as curves and surfaces in Euclidean n-space, partial derivatives, directional derivatives, tangent planes and differentials, double- and triple-integrals, the rectangular, cylindrical and spherical coordinate systems, line integrals, surface integrals, Green's theorem, Stokes' theorem and the divergence theorem. (Prerequisite: MATH 132 with a grade of C or higher) (MNTC 4: Mathematical/Logical Reasoning)

Elementary Linear Algebra

MATH 240     4.00 Credits
Course Outline
This is a first course in linear algebra for students intending to go into engineering, mathematics, the sciences, economics, statistics and other technical fields. Among the topics covered are matrices, determinants, systems of linear equations, vector spaces, linear tranformations and characteristic value problems. Apart from the useful and practical topics considered, the course also serves as an introduction to the notion of mathematical proof. (Prerequisite: MATH 132 with a grade of C or higher) (MNTC 4: Mathematical/Logical Reasoning)