Mathematics 5, Winter 2002

The World According to Mathematics



Course DescriptionCourse Information Syllabus Homework Assignments
Friday Discussions Maple Stuff Take-home ExamsStudent Writing

 

Tentative Course Syllabus

The list of topics below will give you some idea of what schedule we have in mind for Mathematics 5 this Winter. However, we may change the topics depending upon the interests of the class, and if so, we will modify the schedule and hand out a new version. The chapter references are to the draft manuscript Mathematics and Knowledge: Models of Reality by Dwight Lahr. We will also use hand-outs that we list as Notes in the schedule.

 

Week                                            Topics                                                 References

 

#1     Jan 4                      Visualization and Quantification                        Chapter 1

 

#2     Jan 7, 9, 11            Abstraction, Idealization, Truth, Logic              Chapter 1, Chapter 2

 

#3     Jan 14, 16, 18        Connectives, Thms, Prfs, Paradoxes                Chapter 2

 

#4     Jan 23, 24*, 25      Infinity, Zeno's Paradoxes                                Chapter 6

 

#5     Jan 28, 30; Feb 1   Primes('), Congs., Fermat's Little Thm             Ch. 3 (3.4, 3.5, 3.14, 3.15);

                                                                                                              Ch. 4

 

#6     Feb 4, 6, 7*           Euler's Thm, Codes(')                                      Chapter 4

 

#7     Feb 11, 13, 15       Group Theory                                                 Rudel Notes

 

#8     Feb 18, 20, 22       Group Theory                                                 Rudel Notes

 

#9     Feb 25, 27; Mar 1  Einstein, Energy,                                Chapter 9 (9.10 and 9.11)

                                                   

#10   Mar 4, 6                 ;Wrap up; evaluations                        Final Exam due Sat, 3/9

 

 

 

Notes:

 

* x-hour: Thursday, 12:00-12:50.

Week #4: MLK holiday on Monday, 1/21 (no class that day)

Week #6: Winter Carnival on Friday, 2/8 (no class that day)

 

Mid-term Exam due in week #5.

Final Exam due on first day of finals: Saturday, March 9.

 

Special schedules:      MLK holiday                Meet in x-hour in week #4

                                 Winter Carnival            Meet in x-hour in week #6

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

(')   Check out the Prime References webpage on the Math 5 website for links on the web to information about primes. The page also has a link to the RSA website that contains information about the RSA Public Key algorithm for encoding and decoding messages.