A wide variety of applications of differentiation are covered. Students are required to have a graphing calculator. II 5 cr This course makes extensive use of graphing calculators. The definition of definite integral is motivated using the calculator. The Fundamental Theorem is illustrated by using the graphing calculator to study functions which are expressed as integrals.
Emphasis is placed on evaluating integrals using numerical techniques.
Techniques of integration such as substitution and integration by parts are covered. A wide variety of applications of the definite integral is covered throughout the course in which setting up problems using an increment is stressed. Approximate solutions to ordinary differential equations are found using slope fields and Euler's methods. Students are required to have a graphing calculator. A graphing calculator is required for MA 171.