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Course Criteria
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5.00 Credits
5.00 credits (5.00 lec) 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 into MATH 0070 or completion of MATH 0060.
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3.00 Credits
3.00 credits (3.00 lec) 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 students for MATH 1110: College Algebra. Prerequisites: Placement into MATH 0075 or completion of MATH 0070.
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5.00 Credits
5.00 credits (5.00 lec) 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 polynominal 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 into MATH 0080 or completion of MATH 0070.
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5.00 Credits
5.00 credits (5.00 lec) 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. Fulfills MnTC Goal Area 4. Prerequisites: Placement into MATH 1125 or completion of MATH 0080 with a grade of "A."
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3.00 Credits
3.00 credits (3.00 lec) 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. Fulfills MnTC Goal Area 4. Prerequisites: MATH 1110 or MATH 1125.
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3.00 Credits
3.00 credits (3.00 lec) 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. Fulfills MnTC Goal Area 4. Prerequisites: Placement into MATH 1140 or completion of MATH 0075 or MATH 0080.
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4.00 Credits
4.00 credits (4.00 lec) 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. Fulfills MnTC Goal Area 4. Prerequisites: MATH 1110 or MATH 1125; CSCI 1100 or equivalent computer experience.
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3.00 Credits
3.00 credits (3.00 lec) Topics in this course are selected from numeration systems, elementary number theory, elementary logic, problemsolving strategies, chaos theory, networks, topology, non- Euclidean geometry, counting methods and probability. Fulfills MnTC Goal Area 4. Prerequisites: Placement into MATH 1160 or completion of MATH 0075 or MATH 0080.
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4.00 Credits
4.00 credits (4.00 lec) This course will develop the foundations of the mathematical topics taught in grades kindergarten through sixth 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. Topics will include number systems, algorithms and their rationale, geometry, number theory, and probability. This course is appropriate for future elementary teachers and also for secondary teachers whose intended license is other than math and/or science. Cannot be taken pass/fail. Fulfills MnTC Goal Area 4. Prerequisites: Placement into college-level mathematics or completion of MATH 0075 or MATH 0080.
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4.00 Credits
4.00 credits (4.00 lec) 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). Fulfills MnTC Goal Area 4. Prerequisites: MATH 1110 or MATH 1125.
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