Mathematics 5
Tentative Course Syllabus
January 5, 2000

Dwight Lahr and Josh Laison

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 Realityby Dwight Lahr. We will also use hand-outs that we
list as Notesin the schedule.

Week

Topics

References

#1

Jan 5, 7

Visualization and Quantification

Chapter 1

#2

Jan 10, 12, 14

Abstraction, Idealization, Truth, Logic

Chapter 1, Chapter 2

#3

Jan 18*, 19, 21

Connectives, Thms, Prfs, Paradoxes

Chapter 2

#4

Jan 24, 26, 28

Hamiltonian and Eulerian Circuits

Notes

#5

Jan 31; Feb 2, 4

Graph Coloring

Notes; Mid-term Exam

#6

Feb 7, 8*, 9

Infinity, Zeno's Paradoxes

Chapter 6

#7

Feb 14, 16, 18

Primes('), Congruences, Fermat's Little ThmCh. 3 (3.4, 3.5, 3.14, 3.15); Ch. 4

#8

Feb 21, 23, 25

Euler's Thm, Codes(')

Chapter 4

#9

Feb 28; Mar 1, 3

Einstein('), Energy, E=mc^2

Chapter 9 (9.10 and 9.11)

#10

Mar 6

Wrap up; evaluations

Final Exam due Fri, 3/10

Notes:

* x-hour: Tuesday, 1:00-1:50.
Week #3: MLK holiday on Monday, 1/17 (no class that day)
Week #6: Winter Carnival on Friday, 2/11 (no class that day)

Mid-term Exam due in week #5.
Final Exam due on first day of finals: Friday, March 10.

Special schedules:

MLK holiday
Winter Carnival
Last week of term

Meet in x-hour in week #3
Meet in x-hour in week #6
Meet only on Monday in week #10

(')Check out the Web References on the Math 5 website for links on the
web to information about Primes, RSA Encryption, and Einstein.