| MATH 0060 Preparing for Algebra and Technical Programs | | 4 credits (4 lec) | | | 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: 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 into MATH 0060 OR pass the on campus Adult Basic Education exit test. ESOL students: Complete ESOL 0032 or place into ESOL 0042. Native language students: placement into READ 0100 or above. |
MATH 0070 Introductory Algebra | | 5 credits (5 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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MATH 0075 Applied Intermediate Algebra | | 3 credits (3 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 you for MATH 1110: College Algebra. | Prerequisites: Placement into MATH 0075 or completion of MATH 0070 or MATH 0077.
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MATH 0077 Beginning Algebra with ALEKS
| | 1-5 credits (1-5 lec) | | 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 you need to register for. 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: 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; systems
of linear equations; integer exponents; polynomial arithmetic and factoring; rational
expressions and proportions; radicals and rational exponents; quadratic
equations. NOTE: For programs having a mathematics
requirement of MATH 0060 only, students should take MATH 0060 instead of MATH
0077. | | Prerequisites: Placement into MATH 0077 or MATH 0060. |
MATH 0080 Intermediate Algebra | | 5 credits (5 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 or MATH 0077.
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MATH 0088 Intermediate Algebra with ALEKS
| | 1-5 credits (1-5 lec) | | 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 you need to
register for. 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; circles. | Prerequisites/Corequisites: MATH 0077.
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MATH 1110 College Algebra | | 4 credits (4 lec) |
| | This course offers a comprehensive coverage of functions(polynomial, rational, root, logarithmic, exponential), and their graphs; conic sections; inequalities; complex numbers; the fundamental theorem of algebra; systems of equations; matrices; and linear and quadratic modeling. Additional topics may include sequence and series and the binomial theorem. Also offered as an online course. | Fulfills MnTC Goal Area 4
Prerequisites: Placement into MATH 1110 or completion of MATH 0080 or MATH 0088.
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MATH 1120 College Trigonometry | | 3 credits (3 lec) |
| | 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, and applications. | Fulfills MnTC Goal Area 4
Prerequisites/Corequisites: Placement into MATH 1120 or completion of MATH 1110. |
MATH 1125 Precalculus | | 5 credits (5 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 with a grade "A"of MATH 0080 or MATH 0088. Completion of MATH 1110 is not a prerequisite for MATH 1125.
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MATH 1130 Finite Mathematics | | 3 credits (3 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. |
MATH 1140 Introductory Statistics | | 3 credits (3 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 or MATH 0088.
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MATH 1150 Statistical Analysis | | 4 credits (4 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. |
MATH 1160 Mathematical Ideas | | 3 credits (3 lec) |
| | 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. | Fulfills MnTC Goal Area 4
Prerequisites: Placement into MATH 1160 or completion of MATH 0075 or MATH 0080 or MATH 0088.
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MATH 1165 Mathematics for Teachers | | 4 credits (4 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 or MATH 0088.
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MATH 1170 Calculus for Business and Social Sciences | | 4 credits (4 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. |
MATH 1180 Calculus 1 | | 5 credits (5 lec) |
| | This is part of a sequence designed for students intending to major in Mathematics, Physics, Engineering or other mathematics-dependent fields. Topics include the differential and integral calculus of single-variable real functions. Limit, continuity, derivatives, integrals and applications are covered. | Fulfills MnTC Goal Area 4
Prerequisites: MATH 1110 and MATH 1120 or MATH 1125 or placement into MATH 1180. |
MATH 1190 Calculus 2 | | 5 credits (5 lec) |
| | This is part of a sequence designed for students intending to major in Mathematics, Physics, Engineering or other mathematics-dependent fields. Topics include integral calculus of single-variable real functions, infinite series and applications. | Fulfills MnTC Goal Area 4
Prerequisites: MATH 1180. |
MATH 2011 Discrete Mathematics | | 4 credits (4 lec) |
| | This course is intended to give students studying computer science the mathematical foundation they will need for their future studies, but it may be taken by students in a wide variety of majors, including Mathematics and Engineering. Topics covered will include: logic, sets, functions, sequences, complexity of algorithms, number theory, matrices, methods of proof, mathematical induction, recursive algorithms, counting methods, discrete probability, relations, graphs and tree fundamentals. | Fulfills MnTC Goal Area 4
Prerequisites: MATH 1110 or MATH 1125. |
MATH 2210 Linear Algebra and Differential Equations | | 5 credits (5 lec) | | | This course covers linear algebra, with an emphasis on eigenvalues; introduction to differential equations, including linear differential equations with constant coefficients, solved using eigenvalues; and series solutions and numerical methods for linear and nonlinear differential equations and systems. | | Prerequisites: MATH 1190. |
MATH 2220 Multivariable Calculus | | 5 credits (5 lec) | | | This course covers algebra and geometry of vectors in two-and three-dimensional space; velocity, acceleration and curvature; functions of several variables; partial derivatives and chain rule; max/min problems; Lagrange multipliers; double and triple integrals; parametric form of curves and surfaces; polar, cylindrical and spherical coordinates; integration on curves and surfaces; vector fields; theorems of Green and Stokes; and Divergence Theorem. | | Prerequisites: MATH 1190. |
MATH 2998 Directed Study | | Prerequisites: Completion of one college-level math course and department approval. |
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