Fundamental Mathematics
Math 347 F1, Spring 2009_______________________________________
Instructor: Prof. Zhong-Jin Ruan (ruan@math.uiuc.edu)
Classroom: 341 Altgeld Hall; MWF 2:00-2:50pm
Office Hour: M 3-3:50pm and W: noon-12:50pm, or by appointment.
Office: 353 Altgeld Hall
Web page: http://www.math.uiuc.edu/~ruan/347F1.html
Textbook: Mathematical Thinking: Problem-Solving and Proofs byD'Angelo and West. 2nd edition.
Homework: Every Wednesday (except those with exams) a homework assignment will be due in class.
No late homework will be accepted for any reason. If you have a reasonable excuse for missing an
assignment, I will score it by the average of the other assignments.
Grading policy:There will be total of 500 points computed as follows.
| Homework | 10 x 10 pts | 100 pts |
| Exams | 2 x 100 pts | 200 pts |
| Final Exam | 200 pts | |
| Total | 500 pts |
Your final grade will be based on the total scores.
HOMEWORK ASSIGNMENTS
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HW #1.
Practice homework: 1.3, 1.7, 1.14, 1.30, 1.41d, 1.41e.
Hand-in homework: 1.13, 1.32, 1.44a, 1.47a, 1.50.
(Due Wednesday, Jan 28)
HW #2.
Hand-in homework: 2.23, 2.26, 2.35, 2.50a, and the following problem:
Use contradiction method to show that sqrt 2 + sqrt 6 < sqrt 15.
(Due Wednesday, February 4)
HW#3.
Hand-in homework: 3.14a, 3.14c, 3.49b, 3.49d, 3.55, 3.57, and the following problem:
*Show that the sum of the three consecutive positive numbers is always a multiple of 9. (Due Wednesday, Feb 11).
HW#4. 4.20, 4.24, 4.31, 4.33a, b), 4.36, 4.47. (Due Wednesday, Feb 18).
First Exam: Friday Feb 20, 2-2:50pm
HW#5. Hand-out material: P38, #6, #10, P43, #2, #13, #18, and
* Use the definition to show that sup S = sqrt 2, where S ={ rational numbers r such that 0 < r < sqrt 2}. (Due Wednesday, March 4).
HW#6. Hand-out material: P43 #7, P50 #7, #13a, and
*Use the definition to show that 1) lim \sqrt(1+ 1/n) = 1 and 2) lim 2n/(1+n) = 2. (Due Wednesday, March 11).
HW#7. Hand-out homework sheet. (Due Wednesday March 18) HW7.
HW#8. Hand-out homework sheet. (Due Friday April 3) HW8.
Second Exam: Wednesday April 8, , 2-2:50pm
HW#9. Hand-out homework sheet. (Due Wednesday, April 22)HW9
HW#10. Book page 135, #6.18, #6.28, #6.29, #6.46; page 151, #7.5, #7.6, and #7.9 (Due Wednesday, April 29).