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Add courses to your favorites to save, share, and find your best transfer school.
MAT 301: Calculus III
3.00 Credits
Utica University
Vectors, parametric equations, polar coordinates, infinite series, elementary differential equations. Prerequisite: Mathematics 202.
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MAT 301 - Calculus III
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MAT 302: Calculus IV
3.00 Credits
Utica University
Analytic geometry of three dimensions, functions of more than one variable, partial differentiation, multiple integrals, line and surface integrals. Prerequisite: Mathematics 301.
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MAT 302 - Calculus IV
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MAT 305: Fundamental Structures of Mathematics
3.00 Credits
Utica University
Logic, sets, relations, functions, cardinal numbers, algebraic systems. Emphasis on concepts and methods of proof. Prerequisite: Mathematics 202 or permission of instructor.
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MAT 305 - Fundamental Structures of Mathematics
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MAT 313: Mathematics: A Heuristic Approach
3.00 Credits
Utica University
Historical and developmental perspectives. Problem solving and pattern recognition. Motivational techniques. Practical applications, emphasis on knowledge and understanding of subject matter. Diagnostic tools to detect and correct common misconceptions. Assessment and statistical interpretation of errors. Prerequisite: Mathematics 305 or permission of instructor.
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MAT 313 - Mathematics: A Heuristic Approach
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MAT 317: Ordinary Differential Equations
3.00 Credits
Utica University
First and second order differential equations, linear equations of higher order, power series solutions. Existence of solutions. Systems of differential equations. Application of differential equations. Prerequisite: Mathematics 301.
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MAT 317 - Ordinary Differential Equations
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MAT 321: Probability & Statistics
3.00 Credits
Utica University
Mathematical models of random experiments, discrete and continuous random variables. Bivariate and multivariate distributions. Prerequisite: Mathematics 301.
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MAT 321 - Probability & Statistics
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MAT 331: Linear Algebra
3.00 Credits
Utica University
Systems of linear equations, matrices, determinants, vectors vector spaces and subspaces, linear independence, basis and dimension, orthonormal bases, Gram-Schmidt process, eigenvalues and eigenvectors, diagonalization, linear transformations, applications. Prerequisite: Mathematics 202 or permission of instructor.
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MAT 331 - Linear Algebra
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MAT 334: Introduction to Abstract Algebra
3.00 Credits
Utica University
Elementary theory of groups, rings, domains, and fields, including the integers and polynomial rings and their applications. Quaternians and the Cayley numbers. Prerequisite: Mathematics 305 with grade of C or better, or permission of instructor.
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MAT 334 - Introduction to Abstract Algebra
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MAT 341: Number Theory
3.00 Credits
Utica University
Topics include prime numbers, greatest common divisors, congruences, Wilson's, Fermat's and Euler's Theorems, polynomial congruences, perfect numbers, primitive roots, indices, quadratic residues, Legendre symbol, quadratic reciprocity law. Prerequisite: Mathematics 305 or permission of instruct
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MAT 341 - Number Theory
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MAT 401: Real Analysis I
3.00 Credits
Utica University
Foundations of the real number system, functions and sequences, limits, continuity and differentiability. Prerequisites: Mathematics 302 and 305 or permission of instructor.
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MAT 401 - Real Analysis I
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