These Single Variable Calculus lecture notes cover:
- Areas Between Curves: Method for finding the area between two curves. Includes worked example of finding the area bounded by the curve y=x(x2-3) and a horizontal tangent line.
- Volumes of Solids of Revolution: The Disk Method: Introduces the disk method with worked examples of finding the volume of a right circular cone and a sphere.
- The Slice Method: Generalization of the disk method when cross-sectional areas are known. Includes worked example.
- Volumes of Solids of Revolution: The Washer Method: Variation of disk method using the difference of two disks to create washers. Includes worked example of finding the volume of material of a dog dish.
Course: 18.01 Single Variable Calculus, Fall 2005
Instructor: Prof. Jason Starr
Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA
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Keywords:MIT AP Calculus AP Calculus math mathematics integrals
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