I Derivatives, their interpretations and applications are studied. Topics include limits, derivative rules, implicit differentiation, curve sketching, and optimization problems. Emphasis is placed on polynomial, power, and trigonometric functions. The concepts of integration, first and second order differential equations, Laplace Transforms, partial derivatives, and repeated integrals are developed. Applications in the sciences are included.
Students study a particular subject or research topic in depth.
This course introduces commonly found statistical methods and experimental designs used in research. Topics include analysis of variance, regression, and nonparametric statistics. Some coursework requires interpreting and validating statistical analyses in research papers.