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Course Criteria
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3.00 Credits
Vectors, parametric equations, polar coordinates, infinite series, elementary differential equations. Prerequisite: Mathematics 202.
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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
Mathematical models of random experiments, discrete and continuous random variables. Bivariate and multivariate distributions. Prerequisite: Mathematics 301.
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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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3.00 Credits
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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