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Homework and In-class Assignments
- For Friday May 6 (you will give brief presentations that day): Creative project on Fractals and/or Chaos is due. This can be any creative work. You must also turn in a 300-word essay explaining your work, how it relates to fractals and/or chaos, and why you chose to create your particular project.
- Section 6.6
- Mindscapes: 1-18, 22-24, 26-31
- Due Wednesday May 4: reading response
- Section 6.5
- Mindscapes: 1-5, 6, 7, 12-15, 21, 22, 24, 30-32, 38, 39
- Due Monday May 2: reading response
- Due Wednesday May 4: find a favorite Conway's Game of Life starting pattern online and also create your own starting pattern. Turn in these patterns and write about why you chose them.
- Section 6.4
- Mindscapes: 1-5, 6, 8, 1, 12-15, 20-23, 26-30, 36, 38, 40
- No reading response
- Due Monday May 2: one of 41, 43, 44
- Section 6.3
- Mindscapes: 1-7, 1-12, 14, 17, 18, 20, 21
- Due Monday April 18: reading response
- Section 6.2
- Mindscapes: 1-5, 6, 9, 10, 13, 14, 15, 16, 21, 23, 24, 25, 27, 28, 32, 33, 37
- No reading response
- Due Friday April 15: one of 41, 43, 44
- Section 6.1
- Mindscapes: 1-6, 9
- No reading response
- Section 5.6
- Mindscapes: 1-5, 6-12, 15, 16, 17, 19, 20, 21, 23
- No reading response
- Due Monday November 10: 24
- Section 5.5
- Mindscapes: 6, 10, 11, 13, 16, 19, 26-28, 35, 36, 38
- Due Wednesday April 6: reading response
- Section 5.4
- Mindscapes: 7-9, 12, 14, 15, 19, 20, 24, 26, 27, 29, 30, 32, 33, 35-37, 39, 40
- Due Monday April 4: reading response
- Due Wednesday April 6: 40
- Section 5.3
- Mindscapes: 1-5, 6, 7, 9, 12, 14, 15, 19, 21, 23
- Due Friday April 1: reading response
- Section 5.2
- Mindscapes: 1-5, 6-8, 14, 24, 26-28, 39
- No reading response
- Due Friday April 1: one of 41, 43, 44
- Section 5.1
- Mindscapes: 1-5, 6, 7, 9, 10-12, 12, 24, 26-28, 31, 38, 39
- Due on Friday March 25: reading response
- Section 4.7
- Mindscapes: 1-5, 6-8, 10, 11, 13, 16, 17, 19, 21, 22
- No reading response
- For Wednesday March 9, read at least the first 30 pages (the first 9 sections) of "Flatland: A Romance of Many Dimensions" by Edwin A. Abbott');
- For Monday March 21, read "... And He Built a Crooked House --" by Robert A. Heinlein
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Write a page or so on each of the two readings on other dimensions:
- describe life in Flatland (the inhabitants, their customs, episodes in their history), due Monday March 21; and
- outline the plot of the short story "-- And He Built a Crooked House ---" by Robert A. Heinlein; make connections with our study of the fourth dimension, due Wednesday March 23.
- For Monday March 28 (you will give brief presentations that day): Creative project on the fourth dimension is due. This can be any creative work. You must also turn in a 300-word essay explaining your work, how it relates to the fourth dimension, and why you chose to create your particular project.
- Section 4.5
- Mindscapes: 1-5, 9, 11, 14-17, 21
- Due on Monday March 7: reading response
- Section 4.4
- Mindscapes: 6, 8, 9-12, 15, 16, 18, 21
- Due on Friday March 4: reading response
- Due on Monday March 7: a solution to # 8
- Section 4.3
- Mindscapes: 6, 7, 8, 13, 16, 20, 22
- Due on Friday March 4: 23, 25 or 26
- Section 4.2
- Mindscapes: 7-11, 14-16, 19, 21, 22
- Due on Monday February 28: reading response
- Due on Wednesday March 2: a solution to # 10, including triangulations, coloring of the vertices, counts of the colors, and conclusions about where to place video cameras.
- Section 4.1
- Mindscapes: 6-8, 10-13, 15, 16, 20-22
- Due on Friday February 25: reading response
- Due on Monday February 28: a group solution to one of 13, 15, 20, 21
- Due on Monday February 28: a carefully explained proof of the Pythagorean theorem
- Section 3.3
- Mindscapes: 6, 7, 9, 10, 12-14, 16, 19, 20, 22
- Due on Wednesday February 23: reading response
- Due on Friday February 25: read Section 3.4 up to the end of the four questions on Page 196. Write a 300 word reflection on infinity. What are the most interesting or surprising discoveries of Chapter 3?
- Section 3.2
- Mindscapes: 6, 8, 10, 13, 15, 20, 21, 24, 26, 27, 28, 31, 32, 34, 35
- Due on Wednesday February 23: one of 41, 43 or 44
- Section 3.1
- Mindscapes: 1-20
- No work due from this section. Make sure you can solve the "Hilbert Hotel" problems.
- Section 2.6
- Mindscapes: 1, 3, 4, 7, 6, 9, 11, 22, 26, 37, 40
- Due on Wednesday February 16: Reading Response
- Due on Friday February 18: Turn in a proof that the square root of three is irrational
- Section 2.5
- Mindscapes: 7, 8, 11, 13, 15-17, 19, 22
- Due on Wednesday February 16: one of 23, 25 or 26
- Section 2.4
- With reading:do Mindscapes 1-5
- Mindscapes: 6, 10, 13, 17, 19, 20-22, 26, 29, 32, 33, 39, 40
- Due on Monday February 7: Reading response.
- Section 2.3
- With reading: do one Mindscape from each of the following ranges: 1-5, 6-10, 11-15, 16-20, 21-25
- Mindscapes: 1, 2, 3, 5, 7, 13, 14, 19, 20, 26-28, 31, 35, 36
- Due on Friday February 4: Write a complete and careful proof that there is an inifinite number of primes.
- Due on Monday February 7: First draft of a short paper of at least 300 words on one of the unanswered questions about prime numbers (the twin prime conjecture or the Goldbach conjecture). Discuss the question's history, describe what progress has been made on the question, and include any interested related information. Take note of the following requirements:
- Include a list of references at the end of your paper.
- If you include a quote from your sources, make sure that you give attribution to the source of the quote and make it clear exactly what is quoted.
- Be careful not to plagiarize from any source - do not copy anything without attribution. Write the majority of the paper in your own words!
- Your paper will be graded on content (amount of information), mathematical accuracy, use of correct grammar and spelling, and on overall quality.
- Due on Friday February 11: second draft of the above paper.
- Section 2.2
- With reading: do calculations, play Fibonacci Nim
- Mindscapes: 7, 8, 26, 6, 10, 12, 13, 16, 17, 18, 20
- Due on Monday January 31: One of 7, 8, 26 and one of 41, 43, 44
- Section 2.1
- With reading: do one Mindscape from each of the following ranges: 1-5, 6-10, 11-15, 16-20, then do 21 and 22. Add the following to 21: (b) OTTFFSSEN... and (c) JFMAMJ...
- Due on Wednesday January 26: Reading response.
- Section 1.4
- Work on these stories: 1-3, 5-12. Number 15 is a semester challenge problem.
- Due on Wednesday January 26: Write a solution for your favorite Mindscape from this sectin, and also explain why you chose this Mindscape.
- Section 1.1
- Work on the stories not discussed in class (omit Stories 7-9). You will takes turns presenting your solutions and ideas.
- Due on Monday January 24: Please write (or, preferably, type) a paragraph or two about yourself. What is your major? What is your mathematical background? Why are you taking this class? What are you hoping to get out of this class? How do you intend to ensure a successful experience in this class?
Visit the web site for this class - tell me something about it that you like, and something that could be improved.
Write anything else you wish.
Where is New Zealand?