Courses Taught at Penn State
- Math230 Calculus and Vector Analysis, Fall 2009
Three-dimensional analytic geometry; vectors in space; partial differentiation; double and triple integrals; integral vector calculus.
Full Course Description from the Department of Mathematics:
MATH 230 is a course covering calculus computations involving 2 or more variables at the same time, a topic commonly called multivariable calculus. An intuitive and manipulative working knowledge of multivariable calculus is indispensable for electrostatics, fluid dynamics, solid mechanics, and many other fields of science and engineering that involve both space and time. The differential calculus portion of the course includes the concepts of partial derivatives, gradients, divergence, and curl, multi-variable chain rule, coordinate system transformations, and differential equations, with applications to geometry and optimization. The integral calculus portion includes multiple integrals, line integrals and surface integrals, and generalizations of the fundamental theorem of calculus including Green's theorem, Stokes's theorem, and the divergence theorem. This course is usually completed by students with majors in engineering programs, mathematics, sciences, and secondary education.
- Math 021 College Algebra I, Fall 2008
Quadratic equations; equations in quadratic form; word problems, graphing; algebraic fractions; negative and rational exponents; radicals.
- Math 110 TECHNIQUES OF CALCULUS I (recitation),
Spring 2008
Functions, graphs, derivatives, integrals, techniques of differentiation and integration, exponentials, improper integrals, applications.
- Math 022 College Algebra II, Fall 2007
Relations, functions, graphs; polynomial, rational functions, graphs; word problems; nonlinear inequalities; inverse functions; exponential, logarithmic functions