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.
MAT 140 -- Applied Statistical Methods
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.
MAT 106 -- Trigonometry
This course is intended for students with an elementary knowledge of algebra who need more work in trigonometric topics before taking more advanced mathematics courses. Topics include properties of and operations of functions, inverse functions, exponential and logarithmic functions, angle measurement, trigonometric functions and their inverses, graphing functions, and problem solving with equations. The figure shows the graph of the cosine function for increasing amplitude and increasing frequency given by f(x) = k/2 cos(kx/2pi), for k ranging from -15 to 15.