Team Homework
A How-To GuideHow To Write Mathematics
Writing Mathematics is a key part of the introductory precalculus and calculus courses at the University of Michigan (Math 105/115/116). The objective of this website is to prepare students to organize and present mathematics in the rigorous manner expected of them in these courses.
When Does One Include Graphs, Tables, Etc.
While it is not necessary for every problem, solutions should include objects such as graphs, tables, and figures whenever they add to the clarity of the solution. These should always be properly labeled (for example a graph's axis should be properly labeled). Just as with computations, these objects should be referred to within the text of the solution. A well placed graph or figure could greatly enhance your presentation, after all a picture is worth a thousand words.
Video Tutorial
Below is a video tutorial discussing how to include objects such a graphs, tables, and figures within your solutions.
All problems are from:
Deborah Hughes-Hallett, Andrew Gleason, et al.: Calculus: Single Variable, Fourth Edition, Wiley, 2004
Test Yourself
Instructions
Read the following team homework problem. Below it are four possible graphs. Think about which one best fits the criteria described above and then check your answer.The Question
You drive at a constant speed from Chicago to Detroit, a distance of 275 miles. About 120 miles from Chicago you pass through Kalamzoo, Michigan. Sketch a graph of your distance as a function of time.Possible Graphs
(a) 
(b) 
(c) 
(d) 