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## Goal 4 - Mathematical/Logical Reasoning

A minimum of three credits.

Course # Course Name Credits
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MATH1050
Mathematics for Liberal Arts (Goal 2 & 4)

This course is an exploration of a variety of areas of mathematics designed for students who are majoring in various areas of the liberal arts or in elementary education.  Introductory material in sets, logic, probability, statistics, and consumer mathematics will be applied using a problem solving approach. Prerequisite:  or appropriate placement test score.

MnTC (Goals 4/MA and 2/CT); (3 Cr – 3 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

3
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MATH1110
College Algebra (Goal 2 & 4)

This course covers the basics of college level algebra emphasizing understanding of the basic principles through investigation.  The topics covered range from a basic algebra review to exploration of linear, quadratic, exponential, and logarithmic functions along with a study of rational expressions, inverse relations, function operations, complex numbers, and systems of equations.  Prerequisites:  MATH 0670 with grade of C or better or appropriate placement test score.

MnTC (Goals 4/MA and Goal 2/CT); (3 Cr - 3 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

3
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MATH1115
Pre Calculus (Goal 2 & 4)

This course is for students requiring further experience with advanced algebra prior to calculus. Topics include trigonometric functions and their inverses, Law of Sines, Law of Cosines, complex numbers, linear and non-linear inequalities and equations; mathematical induction, analytic trigonometry, sequences, series, higher order rational, polynomial, exponential and logarithmic functions.   Optional:  matrices, vectors, graphing polar equations

Prerequisite:  Math 1110 with grade of C or better or qualifying score on placement exam.

MnTC (Goals 4/MA and 2/CT); (5 Cr – 5 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

5
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MATH1120
Trigonometry (Goal 2 & 4)

This course builds on the computational, problem solving, and graphing skills learned in previous math courses.  The topics covered in this course include trigonometric ratios, functions, graphs, identities, equations, inverse trigonometric functions, solution of the general triangle and other applications, conic sections, polar coordinates, and complex numbers.  Prerequisite: Math 1110 with grade of C or better or qualifying score on placement exam.

MnTC (Goals 4/MA and 2/CT); (4 Cr- 4 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

4
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MATH1210
Calculus & Analytic Geometry I (Goal 2 & 4)

This course covers the basics of calculus emphasizing understanding of the basic principles through investigation.  The course begins with a review of functions and continues with limits, rates of change, derivatives, differentiation rules, applications of derivatives, and antiderivatives. Concepts are presented graphically and numerically as well as algebraically. Prerequisites:  MATH 1120 or MATH 1115 with a grade of C or better; appropriate Accuplacer or ACT score, or instructor permission.

MnTC (Goals 4/MA and 2/CT); (5 Cr – 5 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

5
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MATH1220
Calculus & Analytic Geometry II (Goal 2 & 4)

The second-semester course in this calculus sequence focuses on applications of the definite integral, inverse functions and their derivatives, differentiation and integration of logarithmic, exponential, trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions, techniques of integration, improper integrals; conic sections, polar coordinates, sequences, series, and convergence tests.  Prerequisite:  MATH 1210 with a grade of C or better.

MnTC (Goals 4/MA and 2/CT); (5 Cr – 5 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

5
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MATH2021
Fundamentals of Statistics (Goal 2 & 4)

This course is an introduction of basic statistical methods including sampling, analyzing a research study, measures of central tendency and dispersion, probability, confidence intervals, hypothesis testing of means and proportions, Chi-square, analysis of variance, correlation, and regression. The use of statistical software is included in this course. Prerequisites: 1) Math 0660 or qualifying score on placement test, AND 2) Any one of these six: appropriate score on the Accuplacer Reading Comprehension, ACT reading, Accuplacer NG reading, or MN Comprehensive Reading Assessment exams, a 2.0 minimum grade in ENGL 0960, or successful completion of ENGL 1101.

MnTC (Goals 4/MA and 2/CT); (4 Cr - 4 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

4
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MATH2022
Honors Fundamentals of Statistics (Goal 2 & 4)

This honors section of Fundamentals of Statistics is an enriched study of basic statistical methods including sampling, analyzing a research study, measures of central tendency and dispersion, probability, confidence intervals, hypothesis testing of means and proportions, Chi-square, analysis of variance, correlation, and regression. The use of statistical software is included in this course. Honors courses emphasize independent inquiry, informed discussion, and direct application within small transformative classes which feature close working relationships with instructors. Prerequisite: Math 0660 or qualifying score on placement test.

MnTC (Goals 4/MA and 2/CT); (4 Cr - 4 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

4
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MATH2210
Multi-variable Calculus (Goal 2 & 4)

This multivariable calculus course includes and expands upon the concepts from Calculus I.   Topics covered include vectors and geometry in two- and three-dimensional space, vector functions, partial derivatives, multiple integrals, and vector calculus including Gauss’, Green’s and Stokes’ Theorems. Prerequisites:  MATH 1220 with a grade of C or better or equivalent courses.

MnTC (Goals 4/MA and 2/CT); (5 Cr – 5 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

5
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MATH2400
Linear Algebra (Goal 2 & 4)

Also satisfies: Goal 2 - Critical Thinking

4
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PHIL1100
Logic (Goal 2 & 4)

This course introduces the student to formal logical reasoning. Students learn how to translate sentences from a natural language into a formal logical language, and use truth-functional logic and natural deduction systems to prove validity. Additionally, students may study syllogistic logic, quantification theory, informal fallacies and/or principles of inductive reasoning pertaining to analogy, enumerative induction, and hypothesis testing. MnTC (Goals 4 M/A and 2C/T); (3 Cr - 3 lect, 0 lab)

Also satisfies: Goal 2 - Critical Thinking

3