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Course Criteria
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3.00 Credits
This course acquaints students with such topics as the theory and solution methods of first-order ordinary differential equations, linear differential equations, first-order linear systems, qualitative behavior of solutions, Laplace transforms, series solutions, existence and uniqueness of solutions, and applications. Prerequisites & Notes The prerequisite is MAT 2532, passed with a grade of C- or higher. This course is offered every fall. Credits: 3
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3.00 Credits
This course examines subjects chosen from such topics as series solutions, boundary value problems, numerical methods, nonlinear differential equations, stability, difference equations, Fourier series, partial differential equations, and delay-differential equations. Prerequisites & Notes The prerequisites are MAT 3210 and MAT 3310, passed with a grade of C- or higher. This course is offered every even numbered spring. May be repeated once for credit with the instructor's permission. Credits: 3
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3.00 Credits
This course explores such topics as divisibility and unique factorization, prime numbers, Diophantine equations, linear and quadratic congruence of numbers, and quadratic reciprocity. Prerequisites & Notes The prerequisite is MAT 2210, passed with a grade of C- or higher, or permission. This course is offered every odd-numbered spring. Credits: 3
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3.00 - 12.00 Credits
This field experience is selected according to each student's interest or career plan. The placement will involve the student in applying the mathematics learned in the classroom or in learning mathematics in the context of the workplace. See also the section on Cooperative Education elsewhere in this catalog. Prerequisites & Notes The prerequisite is permission. Credits: 3 to 12
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3.00 Credits
Complex Analysis introduces the calculus of one complex variable, and reviews the properties and representations of complex numbers. The course investigates the functions of a complex variable, including limits, continuity and derivatives, the Cauchy- Riemann equations, analytic and harmonic functions, exponential, logarithmic and trigonometric functions of a complex variable, integration of complex functions, line integrals, and Cauchy's Theorem. Other topics include series and the calculus of residues with applications. Prerequisites & Notes The prerequisite is MAT 2543, passed with a grade of C- or higher, or permission. This course is offered every odd-numbered spring. Credits: 3
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3.00 Credits
Real Analysis introduces the rigorous treatment of analysis. The course investigates properties of functions of one variable: limits, continuity, sequences, series, differentiability, and the Riemann Integral. Prerequisites & Notes The prerequisites are MAT 2543 and MAT 2210, passed with a grade of C- or higher, or permission. This course is offered every even-numbered fall. Credits: 3
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3.00 Credits
This course covers numerical computation techniques for solving non-linear and transcendental equations including Newton's method, bisection method, and secant method. Other topics include numerical solutions to polynomials, including synthetic division, numerical interpolation, approximation, integration, and numerical solutions to ordinary differential equations. Prerequisites & Notes The prerequisites are CIS 2060 or other programming language, MAT3210, MAT3310, or permission of instructor. This course is offered every odd numbered fall. Credits: 3
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3.00 Credits
Serving as an introduction to the theory of the algebraic structure of groups, rings, and fields, this course examines such topics as subgroups, quotient groups, homomorphisms, isomorphisms, ideals, and integral domains. Prerequisites & Notes The prerequisites are MAT 2210 and MAT 3210, passed with a grade of C- or higher, or permission. This course is offered every odd-numbered fall. Credits: 3
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3.00 Credits
Rigorous reasoning is emphasized in this in-depth treatment of Euclidean geometry and its axiom system. The instruction covers the history and development of the non-Euclidean geometries. Prerequisites & Notes The prerequisite is MAT 2210, passed with a grade of C- or higher, or permission. This course is offered every even-numbered spring. Credits: 3
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3.00 Credits
This course is available to advanced students on an individual basis. Each student plans a program in consultation with a faculty member in the department. The course may be repeated for additional credit if new work is undertaken. Prerequisites & Notes The prerequisite is permission. Credits: 1 to 3
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