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: Two years of high school algebra or MATH 0660 or a score of 70 or more on the elementary algebra portion of the placement test, and a score of 63 on the reading comprehension portion of the placement test. MnTC (Goals 4/MA and 2/CT); (3 Cr - 3 lect, 0 lab)

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)

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)

5
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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; or instructor permission.   

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

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)

5
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MATH1400
Introduction to Calculus (Goal 2 & 4)

This course is for students requiring a single course in calculus. Topics studied will include limits, differentiation of elementary functions, differentials, integration of standard forms, applications of the derivative, applications of the integral, and an introduction to partial derivatives. Students who plan to earn credit in more than one calculus course should register for MATH 1210-1220.Prerequisite: MATH 1110 or equivalent.MnTC (Goals 4/MA and Goal 2/CT); (4 Cr - 4 lect, 0 lab)

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)

3