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MATH 120: Precalculus
4.00 Credits
Winona State University
A study of topics designed to give students the skills necessary for successful completion of calculus. Equation solving, graphing, functions and trigonometry are some of the main topics covered. Prerequisite: qualifying score on the mathematics placement exam or MATH 115.
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MATH 120 - Precalculus
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MATH 120: Precalculus
4.00 Credits
Winona State University
A study of topics designed to give students the skills necessary for successful completion of calculus. Equation solving, graphing, functions and trigonometry are some of the main topics covered. Prerequisite: qualifying score on the mathematics placement exam or MATH 115.
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MATH 120 - Precalculus
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MATH 130: Matrix Algebra
3.00 Credits
Winona State University
An introduction to matrix algebra and elementary vector spaces with an emphasis on computation. Prerequisite: MATH 120.
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MATH 130 - Matrix Algebra
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MATH 140: Applied Calculus
3.00 Credits
Winona State University
An intuitive approach to calculus for students in business, management or the social sciences. Emphasis throughout is to enhance students' understanding of how mathematics is used in real-world applications. Prerequisite: MATH 112 or MATH 115 or MATH 120.
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MATH 140 - Applied Calculus
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MATH 160: Calculus I
4.00 Credits
Winona State University
Differential and integral calculus of functions of a single variable. Two semesters in sequence. Prerequisite: qualifying score on the mathematics placement exam or MATH 120.
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MATH 160 - Calculus I
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MATH 165: Calculus II
4.00 Credits
Winona State University
Differential and integral calculus of functions of a single variable. Two semesters in sequence. Prerequisite: qualifying score on the mathematics placement exam or MATH 160.
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MATH 205: Linear Algebra
4.00 Credits
Winona State University
An introduction to the topics in linear algebra. Topics include: Systems of Linear Equations, Matrix Algebra, Determinants, Vectors and Vector Spaces, Linear Transformations, Eigenvalues and Eigenvectors.
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MATH 210: Foundations of Mathematics
4.00 Credits
Winona State University
Introductory discrete mathematics including symbolic logic, elementary number theory, sequences, sets, relations, functions, and recursion. Valid and invalid argument forms are studied, and direct and indirect methods of proof are introduced. Prerequisite: MATH 165.
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MATH 260: Multivariable Calculus
4.00 Credits
Winona State University
Multivariable functions and vector functions are studied as the concepts of differential and integral calculus are generalized to surfaces and higher dimensions. Topics include vectors, parametric equations, cylindrical and spherical coordinates, partial and directional derivatives, multiple integrals, line and surface integrals, and the theorems of Green, Gauss, and Stokes. Prerequisite: MATH 165.
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MATH 270: Differential Equations and Linear Algebra
3.00 Credits
Winona State University
Solution techniques for ordinary differential equations including boundary/initial value problems and systems of first-order equations. Topics include linear homogeneous and nonhomogeneous differential equations, the Laplace transform, and systems of differential equations. Prerequisite: MATH 165 and either MATH 205 OR concurrent enrollment in MATH 271.
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MATH 270 - Differential Equations and Linear Algebra
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