Mathematics 5

Revised Course Syllabus

February 9, 2006

 

Dwight Lahr

 

The list of topics below will give you some idea of the tentative schedule for Mathematics 5 this Winter. However, the topics may change depending upon the interests of the class, and if so, we will modify the schedule and agree on a new version. The chapter references are to the draft manuscript Mathematics and Knowledge: Models of Reality by Dwight Lahr.

 

Week                                            Topics                                                 References

 

#1     Jan 4, 6                  Visualization and Quantification                        Chapter 1

 

#2     Jan 9, 11, 13          Abstraction, Idealization, Truth, Logic              Chapter 1, Chapter 2

 

#3     Jan 18, 19*, 20      Connectives, Thms, Prfs, Paradoxes                Chapter 2

 

#4     Jan 23, 25, 27        Infinity, Zeno's Paradoxes                                Chapter 6

 

#5     Jan 30; Feb 1, 3     Primes('), Congs., Fermat's Little Thm             Ch. 3 (3.4, 3.5, 3.14, 3.15);

                                                                                                              Ch. 4

 

#6     Feb 6, 8                 Euler's Thm, Codes(')                                      Chapter 4

 

#7     Feb 13, 15, 17       RSA Algorithm                                               Chapter 4

        

#8     Feb 20, 22, 24       Group presentations/reports('')                       

 

#9     Feb 27; Mar 1, 3    Group presentations/reports('')

                                                   

#10   Mar 6, 8                 Wrap up; evaluations                                       Final Paper due Sat, 3/11

 

 

 

Notes:

 

* Week #3: MLK holiday on Monday, 1/16 (Quiz in x-hour: Thursday, 12:00-12:50)

Week #6: Winter Carnival on Friday, 2/10 (no class that day)

 

Quiz on Thursday, January 19.

Mid-term five-page Paper due in week #5.

Quiz on Wednesday, February 15.

Final seven-page paper due on first day of finals: Saturday, March 11.

 

Special schedules:      MLK holiday                Meet in x-hour in week #3

                                 Winter Carnival            No class on Friday in week #6

                                 Last week of term         Meet Monday and Wednesday in week #10

(')   Check out the Prime Reference webpage primes.html on the Math 5 website for links on the web to information about primes. Also look at the RSA website www.rsa.com for information about the RSA Public Key algorithm for encoding and decoding messages.

('')  Use the library’s Math 5 Guide to Library Research at http://www.dartmouth.edu/~krescook/instruct/math5.W06.shtml