Course: Math 215, Introduction to Advanced Mathematics Call no: 42482
Time: MWF 4:00pm - 4:50pm Place: 310 Addams Hall
Professor: Dhruv Mubayi Office: 620 SEO Tel:
3-8036 E-mail: mubayi@uic.edu Course Web Page:
http://www.math.uic.edu/~mubayi/215/fall22/215Fall22.html
Office Hours: Wednesday and Friday: 1-2
Grading Policies:
Attendance and class participation: 20%
Homework, due every week: 20%
Two in-class midterms, 20% each
Final Exam: 20%
Be sure to staple your homework. No late homework will be
accepted.
Disability Policy: Students with disabilities who require accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS).
Please contact ODS a 312/413/-2183 (voice) or 312/413-0123 (TTY).
Prerequisite: Grade of C or better in MATH 181 and approval of the department.
Description: Introduction to methods of proofs used in different fields in mathematics.
Text: Peter J. Eccles, An introduction to Mathematical Reasoning,
Cambridge University Press.
Homework
Homework 1, Due Friday Jan 23:
Chapter 1: 1.2 (iii), (iv); 1.4; 1.5
Chapter 2: 2.1 (i), (ii), (x),(xi); 2.4; 2.6
Chapter 3: 3.1 (ii); 3.2; 3.4; 3.7; 3.8 (iv)
Homework 2, Due Friday Jan 30:
Chapter 4: 4.1; 4.2; 4.3; 4.6
Problems I
(page 53-56): 2, 8, 9, 10, 12, 14, 19
Homework 3, Due Friday Feb 6:
Problems I: (page 53-56): 15, 16, 17, 21, 23, 25, 26
TEST 1: FRIDAY FEBRUARY 13
Homework 4, Due Friday February 20
Problems II: (page 115-119) 1 (i), 2, 3, 6, 8, 9, 11 (i), (ii), (v), (vi), (ix),
(x), 12
Homework 5, Due Friday February 27
Problems II (page 115-119): 13 (ii), 15, 16 (i), (iii), (iv), (v), (vi)
Homework 6, Due Friday March 6
Problems II (page 115-119): 18, 21 (i)
Problems III (page 183-187): 8, 9, 12 (please write careful proofs)
Homework 7, Due Friday March 13
Problems III (page 183-187) 1, 6, 11, 13, 14, 15, 16, 18, 20
This homework is hard so be sure to start early and come by with questions if needed.
Homework 8, Due Friday, March 20
Problems III (page 183-187) 16 (do it again), 17, 18 (do it again), 21, 22 (show well-definedness and (i))
Homework 9, Due Friday, April 3
Problems III (page 183-187) 23, 24, 25, 26, 27, (extra credit 28)
TEST 2: WEDNESDAY APRIL 8
No homework due Friday April 10
Homework 10, Due Friday April 17
Problems IV (page 225-228) 6, 10, 13, 19
Homework 11, Due Friday April 24
Problems IV (page 225-228) 15
Problems V (page 271-273) 7,8, 10 (i) (iv), 11
Homework 12, Due Friday May 1
Problems V (page 271-273) 15 (i), 17 (i), (iv)
Problems VI (page 295-297) 2, 8, 13, 16 (i)