Section 5.1 Areas and Distances

Course Objectives

Students will be able to:
- using a finite number of rectangles calculate the lower estimate and upper estimate of the area under the curve of a decreasing or increasing function on a specific integral.
- using a finite number of rectangles and left hand or right hand endpoints, estimate the area under the curve of a function on a specific interval.
- using a finite number of rectangles and the midpoints of those rectangles, estimate the area under the curve of a function on a specific interval.
- using a velocity function over a specific time interval, calculate an estimate of the distance traveled by the object on that interval.
- calculate estimates of solutions to applications involving rates of change over a specific time interval.

Learning Resources

TO DO for this section:

Read/study key definitions and examples from the textbook and/or the provided Powerpoint PDF files.
Watch the Pre-Recorded Video Lecture videos.
Study the Lecture Notes created from the pre-recorded video lectures.
Complete assignments that include this section. They are located in the Assignments section. SAVE and organize your written work.
Log on to Online Class and Office Hours sessions to ask questions.
For extra practice, check out the exercise sets from the textbook.