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Course Criteria
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3.00 Credits
Pre-requisite: MATH1114. This course meets MnTC Goal Areas 2 and 4. Topics include trigonometric functions, right triangle trigonometry, radian measure and circular functions, identities, equations, inverse functions, laws of cosines and sines. Optional topics may include complex numbers, vectors and polar coordinates.
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5.00 Credits
Pre-requisite: MATH1020. This course meets MNTC goal areas 2 and 4. This course includes trigonometric identities and polynomial, exponential, logarithmic, rational, and trigonometric functions, their inverses, and their graphs. Optional topics may include matrices and determinants, conic sections, vector concepts, and polar coordinates.
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3.00 Credits
Meets MNTC Goal Areas 2 and 4. Prerequisite: MATH1114 or by placement test. This course is an introduction to matrices and differential and integral calculus with an emphasis on application in the areas of business and the life and social sciences. This course is intended for all liberal arts and science students, but is highly recommended for students pursuing business careers.
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5.00 Credits
Meets MNTC Goal Areas 2 and 4. Prerequisite: MATH1115 or MATH1116 or MATH1118 or by placement test. This course includes limits and continuity, derivatives, definite and indefinite integrals of algebraic, trigonometric, exponential and logarithmic functions, and applications of the derivative and definite integral.
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5.00 Credits
Pre-requisite: MATH1134. Meets MnTC Goal Areas 2 and 4. This course includes integration of logarithmic, exponential, trigonometric and hyperbolic functions and their inverses. Students will apply techniques of integration. Polar coordinates, conic sections, indeterminate forms, improper integrals and infinite series are also included.
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3.00 Credits
This course meets MnTC Goal Areas 2 and 4. Pre-requisites: MATH1114 or MATH1118. This course will investigate descriptive and inferential statistical concepts including measures of central tendency, measures of variation, measures of position, frequency tables, statistical graphs, probability distributions, hypothesis tests, confidence intervals, regression, and correlation. TI calculators, MINITAB, or EXCEL may be used for data analysis.
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4.00 Credits
Meets MNTC Goal Areas 2 and 4. Prerequisites: MATH1114, or MATH1118 or by placement test. This course is designed to be an introduction to statistics. Topics include data summary, frequency distributions, plots, graphs, measures of central tendency, variation, probabilities, probability distributions, and confidence intervals. Hypothesis testing of means, proportions, and variances will be conducted using the z-test, t-test, chisquare-test, f-test, and ANOVA. A study of nonparametric statistics, sampling and simulation may also be included.
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4.00 Credits
Meets MNTC Goal Areas 2 and 4. Prerequisite: MATH1135. The course content includes a study of vectors in the plane and space, differentiation and integration of vector-valued functions, and partial differentiation, multiple integrals, including line and surface, in rectangular, polar, cylindrical, spherical and other systems, and a study of Stoke's Theorem, Green's Theorem, and the Divergence Theorem.
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3.00 Credits
Meets MNTC Goal Areas 2 and 4. Prerequisite: MATH1134. Systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors.
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4.00 Credits
Meets MNTC Goal Areas 2 and 4. Prerequisite: MATH2231. This course includes first and second order differential equations with applications in physics, electrical engineering, and chemistry. It also includes Laplace transforms, matrices, series solutions, and systems of differential equations.
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