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MATH 661: Functions of Complex Variables and Applications
3.00 Credits
Minnesota State University Moorhead
The field of complex numbers is an extension of the field of real numbers. Complex numbers and the function of complex variables have application in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. In this course, we will study complex numbers, arithmetic of complex numbers, function of complex variables, limit, continuity, differentiation, integration of functions of complex variables and some important theorems on differentiation and integration, convergence of series, types of series, residues, poles, conformal mappings, and finally their applications.
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MATH 661 - Functions of Complex Variables and Applications
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MATH 676: Abstract Algebra & Galois Theory
3.00 Credits
Minnesota State University Moorhead
The main goal of this course is to provide an introduction to advanced theory of polynomials and their roots. This course will also establish basic elements on algebraic structures such as groups, rings, and fields. Special attention will be given to polynomial rings and their quotients, extension fields, and the solution of polynomial equations via radicals.
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MATH 676 - Abstract Algebra & Galois Theory
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MATH 690: Topics in Mathematics
3.00 Credits
Minnesota State University Moorhead
This is a graduate topical course in mathematics that may be repeated when topics changes.
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MATH 690 - Topics in Mathematics
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MATH C122: Calculus II
4.00 Credits
Minnesota State University Moorhead
Concordia Course
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MATH C122 - Calculus II
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MATH C203: Finite Math
4.00 Credits
Minnesota State University Moorhead
Concordia Course
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MATH C203 - Finite Math
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MATH C210: Linear Algebra
4.00 Credits
Minnesota State University Moorhead
Concordia Class
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MATH C210 - Linear Algebra
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MATH C215: Introduction to Probability and Statistics
2.00 Credits
Minnesota State University Moorhead
Concordia Course
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MATH C215 - Introduction to Probability and Statistics
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MATH C223: Calculus III
4.00 Credits
Minnesota State University Moorhead
Concordia Course
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MATH C223 - Calculus III
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MATH C311: Differential Equations
4.00 Credits
Minnesota State University Moorhead
Concordia Class
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MATH C311 - Differential Equations
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MATH C330: Real Analysis I
4.00 Credits
Minnesota State University Moorhead
Concordia College
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MATH C330 - Real Analysis I
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