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Course Criteria
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4.00 Credits
Continuation of 118. Topics include the integral and its applications, techniques of integration, improper integrals and an introduction to series and differential equations.
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4.00 Credits
A semester study centered around a mathematical or interdisciplinary topic. Recent topics have included fractals and dynamical systems, game theory, mathematics in medicine and public health, and the history of mathematics. May be repeated for credit when topics change.
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4.00 Credits
An introduction to the study of the role of proof in mathematics, mathematical writing and grammar and abstraction and critical thinking, using topics from areas such as set theory, logic, discrete mathematics and number theory.
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4.00 Credits
Real and abstract vector spaces, linear transformations, matrices and determinants, with applications to systems of linear equations, geometry and other selected topics.
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4.00 Credits
Multivariable Calculus The geometry of curves and surfaces and the calcul us of functions of two or more variables, including partial differ entiation, multiple integrals, and vector analysis. Prerequisite: 119
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4.00 Credits
First- and second-order differential equations, higher order, linear ordinary differential equations, existence and uniqueness theorems and applications.
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4.00 Credits
Chaos theory and dynamical systems. Topics include fractals, bifurcations, measurement of chaos, and behavior of orbits. Possible applications to physics, biology, astronomy, and the social sciences.
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4.00 Credits
A study of axiomatic systems in geometry, including affine, projective, Euclidean and non-Euclidean geometries, and the historical background of their development.
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4.00 Credits
Divisibility, prime numbers, Diophantine equations, congruence of numbers, methods of solving congruencies, quadratic reciprocity and applications to cryptology.
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4.00 Credits
Important algebraic structures, including groups, rings, integral domains, and fields.
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