Differential calculus introduces limits to extend the concept of average rates of change to instantaneous rates of change. The subject known as integral calculus introduces limits to extend the technique for finding the area of rectilinear regions (that is, regions that have straight line borders such as triangles and rectangles) to finding areas of nonrectilinear regions (e.g., circles). Differential calculus and integral calculus are related through the definite integral. The definite integral represents the area of a nonrectilinear region and the remarkable thing is that one can use differential calculus to evaluate the definite integral. How this is done is the topic of this part of our course, which culminates with a discussion of what are called the fundamental theorems of calculus.
Part IV: The Definite Integral
Instructor:  
Course Number: 

Departments:  
As Taught In:  Fall 2010 
Level: 
Undergraduate

Learning Resource Types
assignment_turned_in
Problem Sets with Solutions
notes
Lecture Notes