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Course Criteria
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4.00 Credits
An introduction to mathematical modeling and calculus with applications to biology. Topics include discrete-time dynamical systems, limits, continuity, derivatives, optimization, stability of equilibria, definite and indefinite integrals, and differential equations. Students will employ computational software to solve problems and to analyze models of various biological processes. Prerequisite: 121 or placement into 225. Note: not open to students with credit for 230.
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4.00 Credits
Exploration of the concepts, techniques and application of calculus through a study of the properties and applications of polynomial, rational, exponential and trigonometric functions; development of concepts of limit, continuity, differentiation and integration; applications of derivatives and integrals; the Fundamental Theorem of Calculus. Prerequisite: 121 or placement into 230. Note: not open to students with credit for 225.
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4.00 Credits
Exploration of the techniques and application of calculus through study and further development of the concept of integration; special methods of integration; applications of the definite integral; basic differential equations; sequences and series of real numbers. Prerequisite: 225 or 230.
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3.00 Credits
A study of advanced Euclidean geometry; transformational geometry; introduction to non-Euclidean geometry. Examination of the role of axiomatic systems in geometry. Geometric concepts and relationships are used to describe and model mathematical ideas and real world constructs. A problem-solving approach is used to investigate and understand mathematical content and formulate and solve problems from both mathematical and everyday situations. Students make and evaluate mathematical conjectures and arguments and validate their own mathematical thinking in the course. This course is required for those planning to be middle or secondary school teachers (specializing in mathematics) and may be taken by others. Prerequisite: 121. Offered spring semester.
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3.00 Credits
A study of the concepts of sets, number systems, induction, the nature of proof, logic, graph theory, combinatorics, probability, recurrence relations, difference equations and algorithmic thinking. A problem-solving approach is used to investigate and understand mathematical content and formulate and solve problems for both mathematical and everyday situations. This course is required for computer science majors and middle childhood mathematics education majors and may be taken by others. Prerequisite: 121 or 225 or 230 or placement into 251. Offered spring semester.
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4.00 Credits
An introduction to the art of reading, understanding and constructing mathematical proofs. A variety of proof techniques will be presented. Topics, with emphasis on proofs, will be drawn from set theory, functions, relations, discrete mathematics, analysis, number theory and group theory. Prerequisite: 225 or 230. Offered spring semester.
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3.00 Credits
A study of the concepts of probability, descriptive and inferential statistics designed for mathematics majors. Students are prepared to analyze data, make predictions and make decisions. Prerequisite: 231. Offered fall semester in even years.
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3.00 Credits
A study of the major concepts of linear algebra including theory of vector spaces, linear transformations, matrices, determinants, linear programming, eigenvalues and eigenvectors. Prerequisite: 251 or 252 or permission of the chair. Offered fall semester in odd years.
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3.00 Credits
A study of the major concepts of abstract algebra and the role of axiomatic systems in algebra. Students use algebra to describe patterns, relations and functions and to model and solve problems. Major concepts studied include number theory, groups, rings, integral domains, fields and other algebraic systems. Prerequisite: 252. Offered spring semester in odd years.
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4.00 Credits
Exploration of the techniques and application of calculus through a study of vectors in two and three dimensions, three-dimensional analytic geometry; and multi-variable calculus with applications. Prerequisite: 231. Offered spring semester.
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