## Course Descriptions

MCC Campus(s): Blue River, Longview, Maple Woods, Penn Valley

Contacts:

BR-Donald Miller, 604.6662

LV-Stephen Reinbold, 604.2039

MW-Cynthia Proctor, 604.3455

PV-Nancy Harrington, 604.4240

### Mathematics Courses

#### MATH 100 - Mathematics for Business - 3.00 credits

Prerequisites: MATH 20 or MATH 20L or appropriate placement test score. Application of arithmetic and mathematical processes to the solution of practical problems in general business, retailing, accounting, consumer credit, and personal finance.

#### MATH 102 - Technical and Business Math - 3.00 credits

Prerequisites: MATH 20 or MATH 20L or appropriate placement test score. Applications of unit conversions, ratios, percents, algebra, geometry to basic electricity, mixture rations, pressure, hydraulics, compression, comparing specifications. Applications of percents in consumer credit and personal finance.

#### MATH 103 - Technical Mathematics I - 3.00 credits

Prerequisite: MATH 31 or appropriate placement test score. Algebraic expressions, linear equations and systems of linear equations, functions, exponents, graphical analysis, Quadratic equations, factoring common factors and difference of squares, unit conversions, percents, tolerances, clearance, and inference, mean, median, mode.

#### MATH 103R - Technical Mathematics I with Review - 5.00 credits

Prerequisite: MATH 20 or MATH 20L with a C grade or higher OR appropriate score on placement test. A review of basic math operations including decimals, fractions, percents, and order of operations. Algebraic expressions, linear equations and systems of linear equations, functions, exponents, graphical analysis, quadratic equations, factoring common factors and difference of squares, unit conversions, percents, and tolerances, clearance, interference, mean, median and mode presented through problem solving activities. The focus of the course is on application of the math in real life situations and industrial disciplines through the use of critical thinking skills.

#### MATH 104 - Technical Mathematics II - 3.00 credits

Prerequisite: MATH 103. Applied geometry including complex, multi-step problems, complex numbers, solutions of right and oblique triangles, ratio and proportion, radian measure, exponential and logarithmic functions (graphical approach) and practical applications.

#### MATH 105 - Algebra and Trigonometry for Land Surveyors - 4.00 credits

Prerequisite: MATH 40 or MATH 40L or appropriate placement test score. Review of order of operations, scientific notation, rounding and significant digits. Review of basic area and volume formulas with applications to more general shapes. Quadratic and linear functions including piecewise definitions. Distance formula, midpoint formula, equations of circles. Map reading, contours and elevation. Classification of angles and triangles. Right triangle trigonometry. Conversions between radians and degrees/minutes/seconds and decimal degrees. Law of sines, law of cosines, arc length, vectors, and bearing. For all topics there will be an emphasis on applications appropriate to the study of land surveying.

#### MATH 110 - Intermediate Algebra - 3.00 credits

Prerequisite: MATH 31 with a grade of C or better, or satisfactory score on the math placement test.. The study of simplification of complex fractions, solutions to rational equations, solution of linear equations and inequalities with applications, solutions of absolute value equations and inequalities, quadratic functions and equations with applications, ratios and proportions, solutions of linear systems of equations with applications, rational exponents and radicals, introduction to functions and graphs, and graphing linear equations in 2 variables.

#### MATH 110R - Intermediate Algebra with Review - 5.00 credits

Prerequisite: MATH 40 or 40L with a grade of C or better, or satisfactory score on the math placement test. A combination of the topics in MATH 40 and MATH 110. The study of operations with polynomials, operations with rational expressions, properties of exponents, solution of linear equations and inequalities with applications, solution of absolute value equations and inequalities, solution of quadratic equations with applications, solution of linear systems of equations with applications, rational exponents and radicals, introduction to functions and graphs, and graphing linear equations in 2 variables.

#### MATH 115 - Statistics - 3.00 credits

Prerequisite: MATH 85 or MATH 95 with a grade of C or better or appropriate placement test score. Descriptive statistics, ungrouped and grouped data, elementary probability, discrete and continuous statistical inference, significance and distribution measures, regression and correlation analysis.

#### MATH 119 - Mathematical Reasoning and Modeling - 3.00 credits

Prerequisite: MATH 85 with a grade of C or better or appropriate placement test score. The purpose of this course is to provide a comprehensive overview of the skills required to navigate the mathematical demands of modern life and prepare students for a deeper understanding of information presented in mathematical terms. Emphasis is placed on drawing conclusions, making decisions, and communicating effectively in mathematical situations that depend upon multiple factors. To that end, students will develop critical thinking and problem solving skills to solve ill-defined problems with multiple solutions.

#### MATH 120 - College Algebra - 3.00 credits

Prerequisite: MATH 95 with a grade of C or better or appropriate placement test score. A study of various types of equations and inequalities, functions and their inverses, theory of higher degree equations, systems of equations, determinants, logarithms and exponentials, and applications.

#### MATH 120R - College Algebra with Review - 5.00 credits

Prerequisite: MATH 110 or appropriate placement test score. A combination of topics in Intermediate Algebra and College Algebra. A study of various types of equations and inequalities, functions and their graphs, inverse functions, systems of equations, determinants, logarithms and exponential applications.

#### MATH 130 - Trigonometry - 3.00 credits

Prerequisite: MATH 120 with a grade of C or better or appropriate placement test score. Plane geometry is strongly recommended. Angle based trigonometric functions and their inverses, multiple angle formulas, identities, conditional equations, radian measure, arc length, angular velocity, function graphing, and solution of triangles. Plane geometry is strongly recommended.

#### MATH 141 - Discrete Structures for Computer Science I - 3.00 credits

Prerequisite: MATH 120 or 150. Mathematical logic, sets, relations, functions, mathematical induction, Boolean algebra, algebraic structures. The theory introduced will be applied to appropriate areas of computer science.

#### MATH 150 - PreCalculus - 5.00 credits

Prerequisite: MATH 95 with a grade of C or better or appropriate placement test score. A study of various types of algebraic equations and inequalities, functions and their inverses, theory of higher degree polynomial equations, systems of equations and inequalities, logarithms, exponentials, and applications. A study of trigonometric functions and their inverses, formulas and identities, conditional equations, radian measure, arc length, angular velocity, function graphing and solution of triangles.

#### MATH 175 - Calculus for Business and Social Science - 3.00 credits

Prerequisite: MATH 120 or higher or appropriate placement test score. Quadratic, polynomial, rational exponential, and logarithmic functions used in differential and integral calculus application in business, economic and social science.

#### MATH 180 - Analytic Geometry and Calculus I - 5.00 credits

Prerequisite: MATH 130 or 150. A study of plane analytic geometry, limits, continuity, the derivative for functions of a single variable, differentials, indefinite and definite integrals, the Fundamental Theorem of Calculus, and applications of the derivative and integral.

#### MATH 190 - Analytic Geometry and Calculus II - 5.00 credits

Prerequisite: MATH 180. A study of the calculus of elementary transcendental functions; integration by parts, by trigonometric substitution, by partial fraction and by miscellaneous substitutions; improper integrals; L' Hospital's Rule; conic sections; the transformation of axes, infinite series, parametric and polar equations and their derivatives; and graphs, area, and arc length in polar coordinates.

#### MATH 196A - Special Topics I - 1.00 credits

Mathematical topics of special interest.

#### MATH 196B - Special Topics I - 2.00 credits

Mathematical topics of special interest.

#### MATH 196C - Special Topics I - 3.00 credits

Mathematical topics of special interest.

#### MATH 20 - Basic Mathematical Operations - 3.00 credits

Review of all basic mathematical operations. Fractions, decimals, proportions, and percentages. Elementary geometry (perimeter, area and volume).

#### MATH 20L - Basic Mathematics/Lab - 3.00 credits

Review of basic mathematical operations. Fractions, decimals, proportion, and percentages. Elementary geometry (perimeter, area and volume)

#### MATH 210 - Analytic Geometry and Calculus III - 5.00 credits

Prerequisite: MATH 190. A study of analytic geometry in three dimensions, functions of more than one variable and their calculus, directional and partial derivatives, vector functions and their calculus, two- and three-dimensional applications, multiple integrals, and line integrals.

#### MATH 230 - Differential Equations - 3.00 credits

Prerequisite: MATH 190. Solution and application of ordinary differential equations including the nth order non-homogeneous linear cases. Laplace transform, and power series methods.

#### MATH 241 - Discrete Structures for Computer Science II - 3.00 credits

Prerequisite: CSIS 223 & MATH 141. Lattice structures and graph theory, algorithms and complexity, recurrence relations, introduction to computability theory, and abstract machines. The theory introduced will be applied to appropriate areas of computer science.

#### MATH 31 - Pre-College Mathematics - 3.00 credits

Review of all basic mathematical operations. Fractions, decimals, proportions, percentages and real numbers. Elementary geometry (perimeter, area and volume). Review of all operations in real numbers. Solutions of linear equations in one variable, using and manipulating formulas. Properties of exponential numbers, definition and basic operations with polynomials. Graphing linear equations in two variables.

#### MATH 32 - Pre-College Mathematics II - 3.00 credits

Prerequisites: MATH 31. Continuation of Math 31 topics including a review of all basic mathematical operations. Fractions, decimals, proportions, percentages and real numbers. Elementary geometry (perimeter, area and volume). Review of all operations in real numbers. Solutions of linear equations and inequalities in one variable, using and manipulating formulas. Properties of exponential numbers, definition and basic operations with polynomials and solutions of polynomial equations by factoring. Basic operations and simplification of rational expressions. Graphing linear equations in two variables. Self-paced based on initial diagnostic assessment.

#### MATH 40 - Introductory Algebra - 3.00 credits

Prerequisite: MATH 20 or MATH 20L or appropriate placement test score. Review of all operations and properties of real numbers with special attention to work with signed numbers. Solutions of linear equations and inequalities in one variable, using and manipulation formulas. Properties of exponential numbers, definition and basic operations with polynomials and solution of polynomial equations by factoring. Basic operations and simplification of rational expressions. Graphing linear equations in two variables.

#### MATH 40L - Introductory Co-Laboratory Algebra - 3.00 credits

Prerequisite: MATH 20 or MATH 20L or appropriate placement test score. Review of operations and properties of the Real Number System. Operations on polynomials, exponents, and rational expressions. Solving and graphing linear equations. Applications are emphasized throughout the course.

#### MATH 85 - Mathematical Literacy - 3.00 credits

Prerequisites: MATH 20, 31, or 40 with a satisfactory grade or satisfactory score on the math placement test. Math Literacy for College Students is a one-semester preparatory course for Statistics or Mathematical Reasoning and Modeling intended for students whose programs do not require Precalculus, College Algebra, or Calculus. The emphasis is on active learning, applications, and context. Topics include utilizing a spreadsheet tool, numeracy, notation, formula manipulation, data analysis, pattern recognition, mathematical reasoning, linear and exponential models, and basic statistics. The successful student will be well-prepared for MATH 115 and MATH 119, and can also continue into MTH 95 if a switch to a science, technology, engineering, or math related field is desired.

#### MATH 91 - Elements of Algebra - 3.00 credits

Review of all basic mathematical operations. Fractions, decimals, proportions and percentages. Elementary geometry (Perimeter, area and volume). Review of all operations and properties of real numbers with special attention given to work with signed numbers. Solutions of linear equations and inequalities in one variable, using and manipulation formulas. Properties of exponential numbers, definition and basic operations with polynomials and solution of polynomial equations by factoring. Basic operations and simplification of rational expressions. Graphing linear equations in two variables. Functions and their graphs, systems of linear equations, application problems, inequalities, absolute value equations. Rational exponents, radicals, quadratic functions and equations, ratios and proportions.

#### MATH 92 - Elements of Algebra - 3.00 credits

Prerequisite: Math 91. Review of all basic mathematical operations. Fractions, decimals, proportions, and percentages. Elementary geometry (Perimeter, area and volume). Review of all operations and properties of real numbers with special attention given to work with signed numbers. Solutions of linear equations and inequalities in one variable, using and manipulation formulas. Properties of exponential numbers, definition and basic operations with polynomials and solution of polynomial equations by factoring. Basic operations and simplification of rational expressions. Graphing linear equations in two variables. Functions and their graphs, systems of linear equations, application problems, inequalities, absolute value equations. Rational exponents, radicals, quadratic functions and equations, ratios and proportions.

#### MATH 93 - Elements of Algebra - 3.00 credits

Prerequisite: MATH 92. Review of all basic mathematical operations. Fractions, decimals, proportions, and percentages. Elementary geometry (Perimeter, area and volume). Review of all operations and properties of real numbers with special attention given to work with signed numbers. Solutions of linear equations and inequalities in one variable, using and manipulation formulas. Properties of exponential numbers, definition and basic operations with polynomials and solution of polynomial equations by factoring. Basic operations and simplification of rational expressions. Graphing linear equations in two variables. Functions and their graphs, systems of linear equations, application problems, inequalities, absolute value equations. Rational exponents, radicals, quadratic functions and equations, ratios and proportions.

#### MATH 95 - Algebra Principles - 5.00 credits

Prerequisite: MATH 31 with a grade of C or better, or satisfactory score on the math placement test. The study of Algebraic principles including: Operations with polynomials, rational expressions, properties of exponents; solutions of linear equations and inequalities and solutions of absolute value equations and inequalities with applications; solutions of quadratics by factoring, completing the square, and quadratic formula; ratios and proportions; solutions of linear systems of equations with applications; rational exponents and radicals; introduction to functions and graphs; graphing linear equations in two variables.