536 total view(s), 502 download(s)
- Numerical Curvature Description.pdf(PDF | 50 KB)
- Numerical Curvature Handout.pdf(PDF | 464 KB)
- Numerical Curvature Instructor Notes.pdf(PDF | 131 KB)
- track.tsv(TSV | 30 KB)
- Source Files.zip(ZIP | 283 KB)
- contents.txt(TXT | 166 B )
- license.txt(TXT | 20 KB)
- License terms
Description
This activity is meant for use in a typical multivariate calculus course, during the coverage of arc length and curvature. It is meant to demonstrate a practical, real-world application of the graphical concept of curvature to transportation engineering, as well as giving the students some experience in working numerically with a function defined as a data table rather than being able to analytically evaluate derivatives by hand like they would in class.
After this project, students should be able to:
-
Explain why the graphical concept of curvature is important in some engineering applications.
-
Numerically approximate basic calculus quantities (like derivatives) for a function consisting of a table of discrete values.
-
Use a programming language or spreadsheet software to organize and process a large data set.
Notes
Initial upload.
Cite this work
Researchers should cite this work as follows:
- Rumpf, A. (2022). Curvature and Maximum Permissible Speeds. QUBES Educational Resources. doi:10.25334/0339-4S35