Fundamental Mathematics

Math 347B1 and 347D2, Spring 2018

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Instructor: Prof. Zhong-Jin Ruan

Classroom/Time: Section B1: 143 Henry Bld, MWF 9:00 - 9:50am

Section D2: 141 Altgeld Hall MWF 11:00-11:50am

Office Hour: MW 10:00-11:00am at 353 AH or by appointment.

Email: z-ruan@illinois.edu

Course Web Page: https://faculty.math.illinois.edu/~ruan/347Sp18.html

Textbook: Mathematical Thinking: Problem-Solving and Proofs by D'Angelo and West. 2nd edition.

Homework: Homework will be assigned each week and will be due in class on the following days:

Part I: Jan 24, 31, Feb 7 and 14;
Part II: Feb 28, Mar 7, 14 and 28;
Part III: Apr 11, 18, 25 and May 2.

No late homework will be accepted. If you have a reasonable excuse for missing an
assignment, I will score it by taking the average of the other assignments.


Exams:There will be two 50-minute exams and a 3-hour final exam.

Exam 1 Monday, February 19
Exam 2 Monday, April 2

Final Exam
Math347B1 Class: 1:30 - 4:30pm on Thursday May 10, 2018
Math347D2 Class: 1:30 - 4:30pm on Friday May 4, 2018

Grading policy:There will be total of 500 points computed as follows.
Homework10 x 10 pts100 pts
Exams2 x 100 pts200 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: Page 20, 1.15, 1.20, 1.41, 1.43, 1.49.
Hand-in Homework: Page 20, 1.13, 1.32, 1.36, 1.44a, b, 1.47a, 1.50 (Due Wednesday, January 24, 2018)

HW #2 Practice Homework: Page 44, 2.4, 2.9, 2.21, 2.25, 2.27.
Hand-in Homework: Page 44, 2.22, 2.23, 2.35, 2.38, 2.47 and the following problem:
Let n be an positive integer. Show that q = \sqrt n + \sqrt 2 is an irrarional number. (Due Wednesday, January 31, 2018).

HW #3 Hand-in Homework: Page 71, 3.7, 3.17, 3.26, 3.49b, 3.56b, 3.57. (Due Wednesday, February 7, 2018).

HW #4 Hand-in Homework: Page 95, 4.20a, b, 4.24, 4.25a, b, e, 4.33a, b, 4.34a, c, 4.46, and 4.47. (Due Wednesday, February 14, 2018).

1st Exam on Monday, February 19 at your classroom during class time; i.e.
B1 section: 143 Henry Hall, 9:00 - 9:50 am
D2 section: 141 Altgeld Hall, 11:00 - 11:50 am.