CALCULUS AND ANALYTIC GEOMETRY II
Math 122 is a continuation of Math 121. The focus is on integration and its relationship to differentiation. Topics included are defining the integral, the Fundamental Theorem of Calculus, differential equations, applications of the integral, function approximations and sequences and series. Throughout the course all ideas are explored from the symbolic, the graphic and the numeric points of view. Heavy use is made of a graphing calculator. Prerequisite: Math 121 or its equivalent. Satisfies the Mathematical Reasoning core requirement.
The objective of this course is to demonstrate to the student the power and the beauty of the calculus. This course continues the analytic study of functions of one variable. The study of functions will be done primarily in three ways--numerically as a table of input-output pairs, graphically as a plot of inputs vs. outputs, and symbolically as a formula describing the input-output process. An examination of each of the following calculus topics will be covered: the definite integral, finding antiderivatives, the Fundamental theorem of Calculus, differential equations, and series and sequences will be covered. Analytical thinking in the context of problem solving will be stressed and enhanced with a variety of exercises that indicate how calculus is used in the sciences and business related fields.