Critical examination of major contemporary theories of counseling and psychotherapy. The relationship of the theories to counseling practice and human development is examined. Students will begin to define their own theoretical orientations.
Banach space, contraction mapping principle, existence and uniqueness theorems, linear systems, higher-order linear equations, boundary value and eigenvalue problems, stability and asymptotic behavior, attractors, Gronwall’s inequality, Liapunov method.
This course is an introduction to probability, calculus, and linear algebra for graduate students in the Statistics Minor Program having little or no formal training in these subjects. Topics include: counting methods, axioms and properties of probability, conditional probability, independence, Bayes rule, limits, infinite series, derivative and integral methods, vector and matrix operations, and computer methods. Applications will be emphasized throughout the course.
Participatory course series which explores issues of identity development, positionality and development as a teacher for urban school populations; issues and socio-cultural realities of diverse student populations; and examines urban school communities, their identities and ways of understanding and interacting.
Continuation of Mathematics~207. Computation models including finite state machines, and Kleene's Theorem; lambda calculus; primitive recursive and recursive functions; Turing machines, computability, and the Halting Problem; NP completeness; other topics.
First order differential equations with a variety of applications including examples from biology and physics; qualitative analysis; approximation of solutions. Second order linear equations and applications; series solutions. Systems of differential equations. Other topics may include phase plane analysis, Laplace transforms, boundary value problems.