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Course Criteria
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3.00 Credits
An introduction to the methodology of mathematical modeling as a technique in working towards the solution to real world problems. In an effort for the non-specialist to gain an appreciation of the use of mathematics in our society, topics are selected from among the following: basic voting theory, fair division schemes, routing problems, population growth, and descriptive statistics and probability.
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3.00 Credits
A study of the theory of arithmetic, structure of the number systems, and other topics relevant to the teaching of mathematics in elementary schools. Offered every fall.
Prerequisite:
Admission to the Teacher Education Program or consent of the instructor.
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3.00 Credits
A continuation of [[MTH-103]]. Topics include elementary probability, statistics, and geometry. Offered every spring.
Prerequisite:
Admission to the Teacher Education Program or consent of the instructor.
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4.00 Credits
Calculus of functions of one variable. Topics include functions, limits and continuity, derivatives and integrals. Course will focus on applying conceptual aspects of calculus to modeling and solving problems from across the sciences and engineering.
Prerequisite:
[[MTH-100]] with a grade of 2.0 or better OR meet Department of Mathematics, Physics and Computer Science placement criteria.
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4.00 Credits
A continuation of [[MTH-111]]. Topics include inverse functions, techniques of integration, applications of the integral, and infinite sequences and series.
Prerequisite:
[[MTH-111]] with grade of 2.0 or better
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4.00 Credits
A continuation of MTH 111 for students in the biological and environmental sciences. Topics include integrals, differential equations and continuous dynamical systems, stochastic models and Markov chains, and discrete and continuous probability models. Course will focus on applying ideas from calculus to modeling and solving problems drawn from the biological and environmental sciences. Major credits cannot be granted for both MTH 112 and MTH 114.
Prerequisite:
[[MTH-111]] with grade of 2.0 or better
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3.00 Credits
Elementary statistical inference, with an emphasis on ideas, techniques, and applications in the life, physical, and social sciences. Topics include descriptive statistics, confidence intervals, hypothesis testing, contingency tables, multiple regression, and analysis of variance. Not open to mathematics majors or students with credit in MTH 351.
Prerequisite:
[[MTH-94]] with grade of 2.0 or better OR meet Department of Mathematics, Physics and Computer Science placement criteria.
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1.00 Credits
A study of topics of special interest. It may be a continuation of intensive study of topics begun in the upper-level courses in analysis, topology, algebra, and probability. May be repeated for credit for a different topic.
Prerequisite:
Varies with topic
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4.00 Credits
First-order and linear higher order differential equations; matrices, determinants, and systems of differential equations; numerical and power series methods of solution; the Laplace transform. Offered every fall.
Prerequisite:
[[MTH-112]] with grade of 2.0 or better
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4.00 Credits
Differential and integral calculus of real and vector valued functions. Topics include continuity, partial differentiation, implicit functions, Taylor's Theorem, gradient, curl, line, surface, and multiple integrals, inverse functions, theorems of Green and Stokes.
Prerequisite:
[[MTH-112]] with grade of 2.0 or better
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