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Course Criteria
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3.00 Credits
An in-depth study of the elementary curriculum content examining methods, problems, and techniques involved in mathematics instruction. Prerequisites: MATH 102 and MATH 200.
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3.00 Credits
The course begins with a study of linear systems, using matrices and determinants to solve them. Vector spaces are treated axiomatically and discussed geometrically. Linear transformation of vector spaces and their matrix representations are considered. Finally eigenvectors and eigenvalues are considered with applications. Prerequisites: MATH 155 or MATH 254, and MATH 207 or MATH 205.
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4.00 Credits
Continuation of MATH 208. Vectors in the plane and in space, parametric equations, solid analytic geometry. Calculus of functions of several variables including partial derivatives, multiple integrals, and their applications. Prerequisite: MATH 208.
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4.00 Credits
Examines first order ordinary differential equations (e.g. exact, separable, Bernoulli, homogeneous), direction field, numerical solution; higher order equations including the methods of Lagrange and undetermined coefficients; Laplace transforms; systems of first order equations; introduction to Fourier series; and applications in the physical and biological sciences. Prerequisite: MATH 208.
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3.00 Credits
Introduction to algebraic structures such as groups, rings, and fields. Formal development of their properties, complemented by examples and applications. Prerequisites: MATH 208 and MATH 254.
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3.00 Credits
A study of numerical methods applied to such problems as the solutions of equations, interpolation, differentiation, integration, and solution of differential equations. Emphasis on obtaining solutions with computer programs. Prerequisite: MATH 208.
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3.00 Credits
Topics include axioms for probability; random variables, discrete and continuous probability distributions; expected value; functions of random variables; covariance; conditional probability; independence; confidence intervals; tests of hypotheses: normal, t, signed-rank, chi-square tests; linear regression and correlation. Prerequisite: MATH 207 or MATH 205. Recommended additional preparation MATH 208.
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3.00 Credits
Aimed at applications, primarily from the environmental sciences, this course is designed to explicitly demonstrate the ways mathematics is used to solve problems arising in the natural sciences and in other walks of life as well. A wide variety of phenomena in nature can be described by what one calls a mathematical model. This may involve statistics, differential equations, computer simulation, algebraic and combinatorial structures. River and lake pollution, spread of an epidemic, population growth, solar energy, and vibration, as well as several economics, chemistry, and political science models will be studied. Prerequisites: MATH 205 or MATH 207 and MATH 155 or MATH 254 or permission of instructor.
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3.00 Credits
An introduction to main topics of operations research: linear programming, network optimization, dynamic programming, and queueing theory. The simplex algorithm will be studied in detail, including duality theory and sensitivity analysis. In network optimization the OSPF algorithm, PERT, and CPM will be considered. Examples of applications from industry, notably some queueing algorithms. Additional topics may be chosen from Markov chains, integer programming, nonlinear programming, game theory and decision analysis, and simulation. Prerequisite: MATH 155 and MATH 207 or MATH 254.
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3.00 - 9.00 Credits
Cooperative Education is a form of education which integrates classroom study with paid, planned, and supervised work experiences in the public and private sectors. Cooperative education allows students to acquire essential, practical skills by being exposed to the reality of the work world beyond the boundaries of campus, enhancing their self-confidence and career direction. Co-ops may extend beyond the semester and may be paid positions. A co-op must have an academic component. A cooperative education agreement is signed by the employer supervisor, the faculty supervisor, and the student. The co-op may be repeated for credit, but not in the same term; the topic must be different. Prerequisites: Sophomore standing; minimum 2.5 overall GPA; approval of Mathematics and Engineering Department; placement by Career Center.
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