Mathematics
Preparing for Algebra and Technical Programs (MATH 0060)
Total Credits:
4
Lecture Credits:
4.00
Lab Credits:
0.00
Description:
This course prepares you for algebra and technical programs. You should be competent in whole numbers and decimals before taking this course, and you should need only a brief review of fractions and ratios. Topics include the following: percents; applications of ratio and percent; interpreting and constructing graphs; statistics (mean, median, mode); metric and English measurement; basic geometry concepts; and preparation for algebra. Class activities include short lectures, small group work and lab activities. Must be taken Pass/No Credit. NOTE: For programs having a mathematics requirement of
MATH 0060 only, students should take
MATH 0060 instead of
MATH 0077.
Prerequisites:
Placement score into MATH 0060 or pass the on-campus Adult Basic Education exit test.
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Applied Introductory Algebra (MATH 0065)
Total Credits:
4
Lecture Credits:
4.00
Lab Credits:
0.00
Description:
This course is part of a sequence designed for liberal arts students who do not plan to pursue majors in science, technology, engineering or math (STEM). You will learn the properties of real numbers, operations and their inverses, polynomial arithmetic, solving linear equations and inequalities in one variable, solving quadratic equations in one variable, graphing linear equations in two variables, simplifying radical, exponential and logarithmic expressions, and you will solve radical, quadratic, exponential and logarithmic equations with one-variable-like terms. You will also learn to solve literal equations and rational equations.
Prerequisites:
Placement score into MATH 0070.
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Introductory Algebra (MATH 0070)
Total Credits:
5
Lecture Credits:
5.00
Description:
This course is designed for students beginning the study of algebra or for those who need a review. Course content includes: signed numbers, integer exponents, operations with algebraic expressions, factoring, solving linear and quadratic equations in one variable, literal equations, solving linear inequalities in one variable, graphing linear equations in two variables, roots and radicals, word problems and modeling.
Prerequisites:
Placement score into MATH 0070.
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Applied Intermediate Algebra (MATH 0075)
Total Credits:
3
Lecture Credits:
3.00
Description:
Strong emphasis is placed on application of algebra and especially on current uses of function models (linear, quadratic, polynomial, rational, radical, logarithmic and exponential). The relationship among data, graphs and functions is thoroughly explored. Translating statements and questions from English into mathematics, answering those questions using algebraic procedures and then stating the results again in English will also be discussed in depth. Only symbolic manipulations that have immediate applications will be studied.
MATH 0075 is the minimum algebra preparation for
MATH 1140: Introductory Statistics, MATH 1160: Mathematical Ideas, and
MATH 1165: Mathematics for Teachers. This course does not prepare you for
MATH 1110: College Algebra.
Prerequisites:
Placement score into MATH 0075 or completion of MATH 0070 or MATH 0077 or completion of MATH 0065.
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Beginning Algebra with ALEKS (MATH 0077)
Total Credits:
5
Lecture Credits:
5
Description:
This course provides an alternate, self-directed way to learn beginning algebra concepts using ALEKS, a Web-based math assessment and learning system. First, ALEKS will determine your individual study plan and the number of credits for which you need to register. In the classroom, you will use ALEKS at your own pace with the help of an instructor. In the course, you will demonstrate mastery of these concepts: arithmetic readiness, geometry and data analysis, real numbers and variables, algebraic expressions, linear equations and inequalities, literal equations, functions, graphing linear equations in two variables, integer exponents, polynomial arithmetic and factoring, rational expressions and proportions, radicals and rational exponents, and quadratic equations. NOTE: For programs having a mathematics requirement of completion of MATH 0060 only, students should take MATH 0060 instead of
MATH 0077.
Prerequisites:
Placement into
MATH 0077 or MATH 0060. Instructor Permission Required
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Intermediate Algebra (MATH 0080)
Total Credits:
5
Lecture Credits:
5.00
Description:
This course is a continuation of
MATH 0070: Introductory Algebra. Course content includes: sets and interval notation; functions and relations; systems of linear equations; compound inequalities; absolute value equations and inequalities; more polynomial factoring; rational expressions, functions, and equations; variation word problems; more literal equations; radicals, radical functions, and rational exponents; complex numbers; graphing quadratic functions; quadratic and rational inequalities; composition of functions; inverse functions; logarithmic and exponential functions and equations; and graphing circles.
Prerequisites:
Placement score into MATH 0080 or completion of MATH 0070 or MATH 0077.
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Intermediate Algebra with ALEKS (MATH 0088)
Total Credits:
5
Lecture Credits:
5
Description:
This course, a continuation of
MATH 0077, provides an alternate, self-directed way to learn intermediate algebra concepts using ALEKS, a Web-based math assessment and learning system. First, ALEKS will determine your individual study plan and the number of credits for which you need to register. In the classroom, you will use ALEKS at your own pace with the help of an instructor. In this course, you will demonstrate mastery of these concepts: real numbers and linear equations and inequalities, graphs and linear functions, systems of linear equations, exponents and polynomials, rational expressions and equations, variation applications, radicals and rational exponents, complex numbers, quadratic equations, solving radical and quadratic equations and inequalities, parabolas, functions, function composition and inverse functions, exponential and logarithmic functions and equations, distance and midpoint formulas, and circles.
Prerequisites:
MATH 0077. You may also take
MATH 0077 concurrently with
MATH 0088.
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STATWAY Statistics 1 (MATH 0990)
Total Credits:
5
Lecture Credits:
5
Description:
This is the first semester of a two-semester course for non-STEM students. You will learn the concepts and methods of statistics with an emphasis on data analysis. Over the two semesters, you will learn methods for collecting data, graphical and numerical descriptive statistics, correlation, simple linear regression, basic concepts of probability, confidence intervals and hypothesis tests for means and proportions, and chi-square tests. The developmental mathematics concepts that serve as a foundation for statistical analysis are integrated into the course. Upon successful completion of both
MATH 0990 and
MATH 1090, you will fulfill MnTC Goal Area 4.
Prerequisites:
Placement into
MATH 0070
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STATWAY Statistics 2 (MATH 1090)
Total Credits:
4
Lecture Credits:
4
Description:
This is the second semester of a two-semester course where you will learn the concepts and methods of statistics with an emphasis on data analysis. Over the two semesters, you will learn methods for collecting data, graphical and numerical descriptive statistics, correlation, simple linear regression, basic concepts of probability, confidence intervals and hypothesis tests for means and proportions, and chi-square tests. The developmental mathematics concepts that serve as a foundation for statistical analysis are integrated into the course. Upon successful completion of both
MATH 0990 and
MATH 1090, you will fulfill MnTC Goal Area 4.
Prerequisites:
MATH 0990
MnTC:
Goal 4
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College Algebra (MATH 1110)
Total Credits:
4
Lecture Credits:
4.00
Description:
This course offers a comprehensive coverage of functions (polynomial, rational, root, logarithmic, exponential), and their graphs; inequalities; complex numbers; the fundamental theorem of algebra; linear and quadratic modeling; solving systems or linear equations with matrices; combinations, permutations, and probability. Also offered as an online course.
Prerequisites:
Placement score into MATH 1110 or completion of MATH 0080 or MATH 0088. It is strongly recommended that students have completed MATH 0080 or MATH 0088 with a grade of "C" (2.0) or higher.
MnTC:
Goal 4
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College Algebra with ALEKS (MATH 1116)
Total Credits:
4
Lecture Credits:
4
Description:
This course provides an alternate, self-directed way to learn college algebra concepts using ALEKS, a Web-based math assessment and learning system. You will use ALEKS to determine your individual study plan, and the necessary number of credits you will register for. In the classroom, you will use ALEKS at your own pace with the help of an instructor. You will demonstrate mastery of these concepts: functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of linear equations and matrices, sequences and series, and conic sections.
Prerequisites:
Placement into
MATH 1116 or completion of
MATH 0080 or
MATH 0088. It is strongly recommended that students have completed
MATH 0080 or
MATH 0088 with a grade of "C" (2.0) or higher.
MnTC:
Goal 4
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Precalculus 1 (MATH 1119)
Total Credits:
4
Lecture Credits:
4
Description:
This is the first course in a sequence of two courses which will prepare you to take calculus. You will learn about many topics: functions-graphing and properties; polynomial and rational functions; modeling; fundamental theorem of algebra; exponential and logarithmic functions; solving systems of linear equations with matrices; solving systems of nonlinear equations; partial fraction decomposition; and conics.
Prerequisites:
Placement into
MATH 1119 or completion of
MATH 0080 or
MATH 0088
MnTC:
Goal 4
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Precalculus 2 (MATH 1120)
Total Credits:
3
Lecture Credits:
3.00
Description:
This is the second course in a sequence of two courses which will prepare you to take calculus. Topics in this course include trigonometric functions, graphs, identities, equations, multiple-angle formulas, inverse trigonometric functions, law of sines and cosines, vectors, trigonometric forms of complex numbers, De Moivre's theorem, equations in polar coordinates and their graphs, applications, and parametric equations.
Prerequisites:
Placement score into MATH 1120 or completion of MATH 1110 or MATH 1116 or MATH 1119.
MnTC:
Goal 4
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Accelerated Precalculus (MATH 1125)
Total Credits:
5
Lecture Credits:
5
Description:
This course is for students who have previously had high school algebra and trigonometry, but who are not prepared to start calculus, and want to take on a fast-paced refresher course covering precalculus topics. Topics will include: Functions-graphing and properties; polynomial and rational functions; modeling; fundamental theorem of algebra; exponential and logarithmic functions; trigonometric functions; trigonometric identities, formulas, equations, and inverses; systems of linear equations; partial fraction decomposition; polar coordinates; conics; and parametric equations.
Prerequisites:
Placement into
MATH 1125 or completion with a grade of "A" in
MATH 0080 or
MATH 0088
MnTC:
Goal 4
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Finite Mathematics (MATH 1130)
Total Credits:
3
Lecture Credits:
3.00
Lab Credits:
0.00
Description:
This course covers the business and social science applications of the following topics: systems of linear equations, matrices, linear programming, sets and counting, probability, Markov Chains, and mathematics of finance. This course is also appropriate for liberal arts students seeking General Education credits.
Prerequisites:
MATH 1110 or MATH 1116 or MATH 1125.
MnTC:
Goal 4
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Introductory Statistics (MATH 1140)
Total Credits:
3
Lecture Credits:
3.00
Description:
Rather than statistical calculations, this course emphasizes the interpretation and evaluation of surveys, experiments, probabilities, graphic/tabular displays, data summaries, or other statistical reports encountered in daily life. Topics include: data collection, numerical and graphic summaries, basic ideas of probability, the normal distribution, estimation, hypothesis testing, correlation and regression, and index numbers.
Prerequisites:
Placement score into MATH 1140 or completion of MATH 0075 or MATH 0080 or MATH 0088.
MnTC:
Goal 4
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Statistical Analysis (MATH 1150)
Total Credits:
4
Lecture Credits:
4
Description:
This course is an introduction to the fundamental concepts of descriptive and inferential statistics, with an emphasis on applications. Course content includes: sample surveys and experiment designs; graphic presentation of data; measures of central tendency, variation and position; exploratory data analysis; introductory probability; random variables and probability distributions; binomial and normal distributions; the Central Limit Theorem; estimation; hypothesis testing; comparisons of two populations; correlation and regression; applications of chi-square; and analysis of variance (ANOVA). The course assumes that the student is familiar with basic computer applications software. Statistical software and/or statistical graphing calculators are introduced and used extensively.
Prerequisites:
MATH 1110 or
MATH 1116 or
MATH 1119 or
MATH 1125. Completion of
CSCI 1100 or Equivalent Computer Experience is Also Recommended.
MnTC:
Goal 4
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Mathematical Ideas (MATH 1160)
Total Credits:
3
Lecture Credits:
3.00
Lab Credits:
0.00
Description:
Topics in this course are selected from numeration systems, elementary number theory, elementary logic, problem-solving strategies, chaos theory, networks, topology, non-Euclidean geometry, counting methods and probability.
Prerequisites:
Placement score into MATH 1160 or completion of MATH 0075 or MATH 0080 or MATH 0088.
MnTC:
Goal 4
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Mathematics for Teachers (MATH 1165)
Total Credits:
5
Lecture Credits:
5
Description:
This course develops the foundations of the mathematical topics taught in grades K-6 and will also explore mathematical reasoning, problem-solving strategies, and historical themes to recognize that mathematics is a way of thinking rather than a collection of rules. You will learn number systems, algorithms, and their rationale; and basic geometry, including proofs, number theory, probability and elementary statistics. This course is appropriate for future elementary teachers and also for secondary teachers whose intended license is other than math and/or science and is also appropriate for liberal arts students seeking general education credits. Must be taken A-F.
Prerequisites:
Placement into
MATH 1165 or completion of
MATH 0080 or
MATH 0088
MnTC:
Goal 4
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Calculus for Business and Social Sciences (MATH 1170)
Total Credits:
4
Lecture Credits:
4
Description:
This is a one-semester calculus course for prebusiness and social science students. Topics covered are: functions, limits, differentiation, and integration of algebraic, exponential, logarithmic, and two-variable functions, with applications in social science and business. Students who need more than one semester should register for the first two semesters of the calculus sequence (
MATH 1180 and
MATH 1190). This course is also appropriate for liberal arts students seeking General Education credits.
Prerequisites:
MATH 1110 or
MATH 1116 or
MATH 1119 or
MATH 1125
MnTC:
Goal 4
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