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Course Criteria
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1.00 Credits
Selected computer explorations to illustrate and/or investigate the mathematical concepts and biological models in Math 221. Spring.
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4.00 Credits
Topics include differentiation, and antidifferentiation of algebraic, trigonometric and transcendental function, the fundamental theorem of calculus, applied problems on maxima and minima, plane analytic geometry, and simple differential equations. The computer algebra system Maple will be used to illustrate calculus concepts. Credit will not be granted for both MATH 200 and MATH 210. Each semester. IAI M1 900-1.
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4.00 Credits
Topics include applications of the definite integral, methods of integration, improper integrals, polar coordinates, sequences and series and numeric integration. The computer algebra system Maple will be used to illustrate calculus concepts. IAI M1 900-2. Each semester.
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4.00 Credits
Topics include solid analytic geometry and vectors, multivariable functions, partial differentiation, and double and triple integration in Cartesian, cylindrical, and spherical coordinates. The computer algebra system Maple will be used to illustrate calculus concepts. Each semester. IAI M1 900-3.
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4.00 Credits
This is the first course in a two-semester sequence in calculus with biological applications. There is a strong emphasis on biological models using real biological data. Topics include semi-log and log-log plots, sequences, basic difference equations, discrete time models, limits, continuity, differentiation and antidifferentiation of algebraic, trigonometric, and transcendental functions, applied problems on maxima and minima, equilibria and stability, basic differential equations, and the fundamental theorem of calculus. The course uses various computer software packages to explore calculus concepts and biological models. Fall.
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3.00 Credits
This is the second course in a two-semester sequence in calculus with biological applications. There is a strong emphasis on biological models and examples using real biological data. Topics include applications of the definite integral, methods of integration, differential equations, systems of linear equations, matrices, eigenvalues and eigenvectors, analytic geometry, functions of several variables, partial derivatives, differentiability, tangent planes and linearization, systems of difference equations, systems of linear and nonlinear differential equations, equilibria and stability, and an introduction to probability. Applications may include allometric growth, age-structured population matrix models, epidemic models, competition models, host-parasitoid models, and models for neuron activity. The course uses various computer software packages to explore calculus concepts and biological models. Spring.
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4.00 Credits
This course is a continuation of MATH S112(4) . This course explores additional mathematical content of elementary school mathematics from the perspective of future elementary school teachers. Topics include proportional reasoning, percents, basic concepts of geometry, two- and three-dimensional geometric figures, transformational geometry, coordinate geometry, symmetry, tessellations, similarity, and direct and indirect measurement. Graphing calculators, manipulatives, and, dynamic geometry software are used throughout the course. This course is required for elementary education majors. Spring. MATH S112 and MATH C222 together satisfy IAI M1 903.
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4.00 Credits
Basic concepts of finite and discrete algebraic structures, with emphasis on applications in computer science. Sets, relations, and functions, boolean algebra, computer arithmetic, combinatorics, matrix algebra, directed and undirected graphs, and methods of proof. Each semester. IAI M1 905.
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4.00 Credits
Includes an introduction to ordinary differential equations with an emphasis on linear equations and techniques to solve them, applied problems in various fields, the Laplace transform, power series solutions, systems of ODEs, and a brief introduction to difference equations and chaos theory. The software ODE Architect is used. Writing Intensive. Spring.
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3.00 Credits
An introduction to methods of formal mathematical proof, with emphasis on improving the student?s ability to both read and write such proofs. Topics include logic, set theory, relations, functions, induction and cardinality. Course serves as a transition from beginning mathematics courses to the higher level courses. Periodically.
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