Brooks Emerick

This course is one of a series intended for students who major in mathematics, the sciences, or engineering. The topics include the definition, properties, and applications of definite integrals; properties, derivatives, and integrals of exponential, logarithmic, trigonometric, inverse trigonometric, and hyperbolic functions with applications; techniques of integration; indeterminate forms and improper integrals; sequences, series, and convergence tests; differentiation and integration of power series; and polar integrals. This figure shows the function f(x) = x^2 exp(-2x) cos(x) along with several approximating Taylor polynomials. We can see that as the degree of the polynomial approaches infinity, the Taylor series converges to the function.

This course is an introduction to quantitative methods as applied to statistical reporting and data analysis. It incorporates some or all of the following: Techniques for obtaining, analyzing and presenting data in numerical form; measures of central tendency and dispersion; the normal distribution curve; standard scores; applicability of probability and sampling theory to statistical research; interpretation of confidence intervals; hypothesis testing; correlation; linear regression.  The figure to the left gives a simple population distribution and the corresponding sampling distribution of sample means from samples of size 15.