Instructor: Prof. A.C. Cojocaru, SEO 415
Teaching Assistant: Ms. X. Luo, SEO 1228
(see
http://www.math.uic.edu/~xluo/Math215_fall2011/math215.htm
for the TA's course webpage)
Textbook: ''An introduction to mathematical reasoning'' by Peter J. Eccles (Cambridge University Press)
Schedule of classes: Monday, Wednesday, Friday, 12-12:50, Room 306, Addams Hall
Office hours Prof. Cojocaru: Friday, 1-1:50, Room 415, Science and Engineering Offices
Office hours Ms. Luo: Tuesday, Thursday, 12-1, Room 430 (Mathematical Sciences Learning Center), Science and Engineering Offices
Important dates:
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August 22, M - Instruction begins
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September 2, F - Last day to complete late registration; last day to add courses or make section changes; last day to drop individual courses via Student Self-Service without receiving W (Withdrawn)
grade on academic record. Last day to submit Withdraw from Term request via Student Self-Service and receive 100 percent cancellation of tuition and fees.
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September 5, M - Labor Day. No classes.
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September 12, M - CampusCare deadline to submit waiver forms.
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October 28, F - Last day for undergraduate students to use optional late drop in college office and receive a grade of W on academic record.
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November 24-25, Th-F - Thanksgiving holiday. No classes.
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December 2, F - Instruction ends.
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8:00-10:00, December 6, 2 - Final examination.
The final grade for the course consists of:
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40% homework
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30% tests
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30% final exam
Syllabus, homework and take-home tests:
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Week 1, August 22-26
Topics: Part 1, Sections 1, 2, 3
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Week 2, August 29 - September 2
Topics: Part 1, Sections 3, 4
HOMEWORK 1: Ex. 4 page 53; Ex. 7 page 54; Ex. 8 page 54; Ex. 9 page 54; Ex. 10 page 54.
Due at noon, Wednesday, September 7, 2011. No late papers will be accepted.
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Week 3, September 5-9
Topics: Part 1, Sections 4, 5
HOMEWORK 2:
Exercise 12 on page 54; exercises 13, 14 on page 55; 19 on page 56.
Due at noon, Friday, September 16, 2011. No late papers will be accepted.
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Week 4, September 12-16
Topics: Part 1, Section 5
TEST 1;
due in class on Monday, September 19, 2011. No late test papers will be accepted.
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Week 5, September 19-24
Topics: Part 2, Section 6
HOMEWORK 3:
Exercises 1, 3 and 4 on page 115;
Exercise:
Given three sets A, B, S with A, B subsets of S, show that
S \ (A intersected by B) = (S \ A) U (S \ B).
Due at noon, Friday, September 30, 2011. No late papers will be accepted.
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Week 6, September 26-30
Topics: Part 2, Section 8
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Week 7, October 3-7
Topics: Part 2, Sections 8, 9
HOMEWORK 4:
Exercise 14 on page 117; exercises 16, 17, 18, 19 on page 118.
Due at noon, Friday, October 14, 2011. No late papers will be accepted.
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Week 8, October 10-14
Topics: Part 2, Sections 8, 9.
TEST 2;
due in class on Monday, October 17, 2011. No late test papers will be accepted.
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Week 9, October 17-21
Topics: Part 3, Section 12.1
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Week 10, October 24-28
Topics: Injective/surjective/bijective functions revisited, permutations on n elements, multiplication table of S_3
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Week 11, October 31-November 4
Topics: Part 3, Section 12.2
HOMEWORK 5:
Exercises 12.1, 12.2, 12.5 on page 155;
the proof of Theorem 12.2.10 on pages 151-153;
the proof of Theorem 12.3.1 on pages 153-155 (study the proofs; understand the proofs; rewrite the proofs in your own words)
Due at noon, Friday, November 11, 2011. No late papers will be accepted.
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Week 12, November 7-11
Topics: Part 3
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Week 13, November 14-18
Topics: Part 4
TEST 3;
due in class on Wednesday, November 23, 2011. No late test papers will be accepted.
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Week 14, November 21-23
Topics: Part 4
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Week 15, November 28 - December 2
Topics: Review
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