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Introductory Algebra (MATH 0070)
Total Credits:
5
Lecture Credits:
5
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 into
MATH 0070
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Preparing for College Algebra (MATH 0075)
Total Credits:
5
Lecture Credits:
5
Description:
Math 0075 is an overview of the introductory and intermediate algebra topics necessary for
MATH 1110, College Algebra. You will learn how to simplify polynomial, radical, logarithmic and exponential expressions and how to solve polynomial, radical, logarithmic and exponential equations. You will also begin applying functional models based on the previous operations. This class is for students who plan to take
MATH 1110: College Algebra and not students who plan on taking
MATH 1119: Precalculus 1.
MATH 0075 will also prepare students for
MATH 1140: Introductory Statistics.
Prerequisites:
Placement into
MATH 0070 or
MATH 0077
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Intermediate Algebra (MATH 0080)
Total Credits:
5
Lecture Credits:
5
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 into
MATH 0080 or completion of
MATH 0070 or
MATH 0077
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Math for Liberal Arts (MATH 1001)
Total Credits:
4
Lecture Credits:
4
Description:
This course focuses on practical applications of mathematics. You will learn about the history of mathematics, math proofs, introductory statistics, financial mathematics, unit analysis, probability, and voting methods. This course is designed for those students who are not planning to take any further mathematics courses.
Prerequisites:
Placement into
MATH 0070 or
MATH 0077
MnTC:
Goal 4: Mathematics/Logical Reasoning
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Math For Social Justice (MATH 1005)
Total Credits:
4
Lecture Credits:
4
Description:
This course delves into the intersection of social justice and mathematics, specifically within the contemporary and historical contexts of structural racism in the United States. Using mathematical tools, you will analyze the impact of public policies at the local, state, and federal levels, exploring social and economic interactions, particularly for particularly for historically marginalized groups. Topics may include, but are not limited to: social justice concepts, racial/ethnic relationships, racial profiling, drug testing for public assistance recipients, anti-racism efforts, and the quest for equity in social and economic opportunities. Through the study of real-life cases, the course aims to empower you to take meaningful actions and develop critical self-awareness as future social justice practitioners.
Prerequisites:
Placement into
MATH 0070 and a placement into
READ 0200 or
ESOL 0052 is strongly recommended
MnTC:
- Goal 4: Mathematics/Logical Reasoning
- Goal 7A: Human Diversity | Goal 7B: Race, Power, and Justice
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College Algebra (MATH 1110)
Total Credits:
4
Lecture Credits:
4
Description:
In this course you will learn to operate on, transform and apply functions (polynomial, rational, root, logarithmic, exponential), and their graphs. To help facilitate this goal you will also learn about inequalities; complex numbers; the fundamental theorem of algebra; algebraic modeling; and solving systems of linear equations with matrices.
Prerequisites:
Placement into
MATH 1110 or completion of
MATH 0075 or
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: Mathematics/Logical Reasoning
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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: Mathematics/Logical Reasoning
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Precalculus 2 (MATH 1120)
Total Credits:
3
Lecture Credits:
3
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 into
MATH 1120 or completion of
MATH 1119
MnTC:
Goal 4: Mathematics/Logical Reasoning
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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: Mathematics/Logical Reasoning
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Introductory Statistics (MATH 1140)
Total Credits:
4
Lecture Credits:
4
Description:
This algebra-based statistics course covers the basics of descriptive and inferential statistics that introduce the fundamental concepts involved in collecting, analyzing, and interpreting data. You will learn the interpretation and evaluation of surveys, experiments, and statistical reports encountered in daily life. You will explore graphs, measures of central tendency and variation, probability, probability distributions (continuous and discrete), normal distribution, sampling distributions, confidence intervals, hypothesis testing for one and two population means and proportions, chi-square, linear regression, and correlation. Additional topics may include t, or Poisson, or Binomial distribution.
Prerequisites:
Placement into
MATH 0080, or successful completion of
MATH 0075, or completion of
MATH 0070 or
MATH 0077 with a grade of A or B.
MnTC:
Goal 4: Mathematics/Logical Reasoning
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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: Mathematics/Logical Reasoning
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Mathematics for Elementary Teachers (MATH 1162)
Total Credits:
4
Lecture Credits:
4
Description:
This course develops the foundations for some of the more important mathematical topics taught in grades PreK-5 using common student misconceptions and classroom strategies that help alleviate these misconceptions. Using the natural numbers, you will increase your fluency in the vocabulary needed to discuss transforming expressions using the order of operations. You will also practice a variety of classroom applications that help students overcome common misconceptions concerning natural numbers, the concept of equality, integers, rational numbers, probability, and geometry. This course is appropriate for future early childhood educators, future elementary teachers and liberal arts students seeking general education credits. Must be taken A-F.
Prerequisites:
Placement into
MATH 0070
MnTC:
Goal 4: Mathematics/Logical Reasoning
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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: Mathematics/Logical Reasoning
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Calculus 1 (MATH 1180)
Total Credits:
5
Lecture Credits:
5
Description:
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. This course is also appropriate for liberal arts students seeking General Education credits.
Prerequisites:
Placement into
MATH 1180; or completion of
MATH 1125; or
MATH 1120
MnTC:
Goal 4: Mathematics/Logical Reasoning
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Calculus 2 (MATH 1190)
Total Credits:
5
Lecture Credits:
5
Description:
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. This course is also appropriate for liberal arts students seeking General Education credits.
Prerequisites:
MATH 1180
MnTC:
Goal 4: Mathematics/Logical Reasoning
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Discrete Mathematics (MATH 2011)
Total Credits:
4
Lecture Credits:
4
Description:
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.
Prerequisites:
MATH 1180
MnTC:
Goal 4: Mathematics/Logical Reasoning
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Linear Algebra and Differential Equations (MATH 2210)
Total Credits:
5
Lecture Credits:
5
Description:
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
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Multivariable Calculus (MATH 2220)
Total Credits:
5
Lecture Credits:
5
Description:
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
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Sequences, Series and Foundations (MATH 2283)
Total Credits:
4
Lecture Credits:
4
Description:
You will be introduced to algebraic and analytic proofs and reasoning that are used in advanced mathematics. You will analyze the real number system, power series and convergence (absolute, uniform) of sequences and series. You will apply power series to differential equation.
Prerequisites:
MATH 2210 or
MATH 2220
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