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Course Criteria
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4.00 Credits
Prereq: MATH 1100 with a grade of C or higher; or eligible for MATH 1500. Concepts and techniques of differential and integral calculus for those who do not need the comprehensive calculus sequence (MATH 1510-1520). Principal applications from business, technology, social science, and statistics. Fall, Spring MnTC Goal: 4
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5.00 Credits
Prereq: MATH 1100 with a grade of C or higher and MATH 0650 or high school geometry; or eligible for MATH 1500. Preparation for student success in a multiple-term calculus sequence. All elementary functions are covered and trigonometry is developed completely. Emphasis on graphing and problem solving parallels algebraic skill development. Fall, Spring MnTC Goal: 4
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5.00 Credits
Prereq: MATH 1500 with a grade of C or higher; or placement in MATH 1510. Topics include functions, limits, derivatives and an introduction to integration. Applications include, but are not limited to, science, engineering, economics, and ecology. Fall, Spring MnTC Goal: 4
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5.00 Credits
Prereq: MATH 1510 with a grade of C or higher; or approved equivalent preparation. Continued development of the properties and applications of integration. Topics include infinite sequences and series, introduction to differential equations, calculus of polar coordinates and parametric equations. Applications include but are not limited to science, engineering, economics and ecology. Fall, Spring MnTC Goal: 4
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1.00 - 3.00 Credits
Prereq: Topic-dependent. An examination of a special topic in mathematics, intended for all interested students.
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4.00 Credits
with Calculus Prereq: MATH 1520 with a grade of C or higher; or approved equivalent preparation. Descriptive statistics, elementary probability and probability distributions, sampling and the elements of statistical inference including point/interval estimation and hypothesis tests. Fall, Spring MnTC Goal: 4
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5.00 Credits
Prereq: MATH 1520 with a grade of C or higher; or approved equivalent preparation. Multivariable functions, three-dimensional analytic geometry, vectors, partial derivatives, optimization, multiple integrals, curves and surfaces, vector fields, divergence, curl, line and surface integrals, Green's Theorem, Stokes' Theorem and the Divergence Theorem. Applications include but are not limited to science, engineering, economics and ecology. Fall, Spring MnTC Goal: 4
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5.00 Credits
with Linear Algebra Prereq: MATH 1520 with a grade of C or higher; or approved equivalent preparation. Matrices and systems, vector spaces, subspaces, linear independence, basis, dimension, linear transformations, eigenvectors, first and second order differential equations, Euler's method, phase plane analysis of linear and nonlinear systems, extensive modeling. Possible topics from numerical methods, Laplace Transforms, power series solutions or partial differential equations. Applications include but are not limited to science, engineering, economics and ecology. Fall, Spring MnTC Goal: 4
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4.00 Credits
Proof Prereq: At least three of MATH 1510, 1520, 2510 and 2520 or their equivalents. This course is intended to teach students how to write formal mathematical proofs. It will be useful to all students pursuing advanced mathematics at four-year institutions, including but not limited to those intending majors in mathematics or mathematics education. Topics include basic logic, set theory, including cardinality of sets, techniques of mathematical proof, relations and functions, basic number theory. Time permitting, the course may include additional topics at the discretion of the instructor. Fall, Spring MnTC Goal: 4
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1.00 - 4.00 Credits
Prereq: Topic-dependent. An examination of a special topic in mathematics, intended for second-year students.
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