This course will continue your studies in calculus and focus on integration applications. These applications share many common characteristics. Each is an example of a quantity which can be computed by evaluating the definite integral. The formula for this application is derived second from Riemann sums.
Instead of measuring rates of change like we did with differential calculus the definite integral allows us measure the accumulation of a quantity in a certain time period of input values. The notion of accumulation can be applied in many different ways, such as money, population, weight, area and volume, as well as air pollutants. These concepts can be applied to many disciplines other than traditional mathematics.
We will extend the concept of an average value for a data set to allow infinite values, create the formula for curvature and arclength, and develop formulas for acceleration, velocity, and areas between curves. We will use the tools in this course to model and analyze real-world data through examples and projects.
