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Course Criteria
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3.00 Credits
Staff A continuation of the study of calculus begun in MATH 111, including the calculus of inverse trigonometric functions, techniques of integration, improper integrals, l'H pital's rule and indeterminate forms, applications of integration, parametric equations, and Taylor series. Prerequisite : MATH 11 1 with a grade of C- or higher or equivalent experience in a secondary school calculus course
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3.00 Credits
Staff The calculus of functions of two or three variables. Among the topics considered are surfaces in three-dimensional space, partial derivatives, maxima and minima, and multiple integrals. Prerequisite: MATH 112 with a grade of C- or higher or equivalent experience in a secondary school calculus course.
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3.00 Credits
E. Hart, D. Lantz, A. Strand, T. Tucker A study of systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and diagonalization. Prerequisite: MATH 113 or co-registration in MATH 113.
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1.00 Credits
E. Hart, D. Saracino, T. Tucker, K. Valente Questions about the positive integers 1, 2, 3 . . . have fascinated people for thousands of years. The ancient Greeks noted the existence of right triangles with sides of integral length, corresponding to equations such as 32 + 42 = 52 and 52 + 122 = 132. Is there a way of describing all such "Pythagorean Triples" As another example, we observe that 5 = 12 + 22, 13 = 22 + 32, 17 = 12 + 42, while none of the primes 7, 11, or 19 can be expressed as the sum of two squares. Is there a pattern Does it continue forever This course focuses on such equations as a means for introducing students to the spirit and methods of modern mathematics. The emphasis throughout is on developing the ability to construct logically sound mathematical arguments and communicate these arguments in writing. Prerequisite : MATH 11 2 o r 11 3 with a grade of C or better, or permission of the instructor.
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3.00 Credits
Staff Open to qualified students with permission of the department chair.
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3.00 Credits
J. Rivera, D. Schult Complicated systems of many interacting entities produce complicated behavior. Simple systems of one or two interacting entities produce simple behavior. The field of dynamical systems was born with the realization that simple systems of as few as three entities can produce incredibly complicated behavior. This behavior, known as chaos, does not repeat itself and cannot be replicated in the sense that very small changes in the initial state of the system grow to large changes later on. The key to producing this behavior is to have nonlinear terms in the equations. From Poincare's description of a three-body solar system to Lorentz's simplified weather models to Feigenbaum's discovery of a universal set of behaviors cascading from periodic to chaotic, this course investigates the intricate behavior of nonlinear systems and the techniques used to study them. Prerequisit e: MATH 21 4. Offered in the fall only, in alternate years
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3.00 Credits
J. Rivera, D. Schult, A. Strand A study of ordinary differential equations of the first and second order, linear equations with constant coefficients, systems of differential equations, other selected topics, and applications of the topics. Prerequisite: MATH 214 or permission of the instructor. Offered in the fall only.
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3.00 Credits
A. Robertson, T. Tucker This course develops methods to solve combinatorial (finite) problems arising in mathematics, computer science, and other areas from the natural and social sciences. Enumeration and graph theory are the main subjects. Topics include recurrence relations, generating functions, inclusion-exclusion, modeling with graphs, trees and searching, graph coloring, and network algorithms. The emphasis is on problem solving rather than theory. Prerequisite: MATH 112. Offered in the spring only, in alternate years.
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3.00 Credits
J. Rivera, D. Schult This course explores mathematics as it is applied to the physical sciences. Mathematical topics may include boundary value problems, partial differential equations, special functions, Fourier series and transforms, Green's functions, and approximate solution methods. Prerequisite: MATH 308 or permission of instructor. Offered in the spring only, in alternate years.
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3.00 Credits
J. Rivera, D. Schult, T. Tucker Topics selected from various branches of mathematics, with applications in the social and life sciences. Prerequisite: MATH 214 or permission of instructor. Offered in the spring only.
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