Find definite and indefinite integrals using integration by parts, integral tables, and numerical integration.
Analyze multivariable functions using partial derivatives and double integrals, and apply these techniques to applications such as optimization, least squares, and volumes.
Solve differential equations graphically, numerically, and algebraically using separation of variables, and apply differential equations in context.Apply differentiation and integration to other areas, for example to Taylor polynomials and Taylor series, probability, trigonometric functions, etc.
Course Description Topics in this second course of Applications of Calculus include functions of several variables, techniques of integration, an introduction to basic differential equations, and other applications.