Introduction to Proofs  201

Professor  Maria Axenovich,
Carver 412,  294-5865,  axenovic@iastate.edu,

www.math.iastate.edu/axenovic

Office hours:     MWF  1pm.

Text:  Mathematical Proofs,  second edition, by Chartrand, Polimeni, Zhang.

Class Meetings:   MWF  10:00--10:50 am,   room 1105,  Pearson Hall

Topics:
Introduction to writing proofs in Mathematics
Logical reasoning (statements, operations, predicates, sets, quantifiers...)
Constructing proofs (direct, by contradiction, induction ...)
Proofs in set theory, number theory, functional analysis.

Chapters:
0-12

Testing and Grading:

There will be one midterm exam, a final exam, homework and quizzes.

Grading:   Homework, quizzes and class participation 70%;  Final 20%;  Midterm 10%.   
Note, there will be no make-up exams or quizzes except in the case of medical or family emergency.

Grading Scale:
90+ A, 80+ B, 70+ C, 50+ D, 49- F.

Disability accomodations
If you have a disability and require accommodations, please contact the instructor early in the semester
so that your learning needs may be appropriately met. You will need to provide documentation of your disability
to the Disability Resources (DR) office, located on the main floor of the Student Services Building, Room 1076, 515-294-6624.

Final exam problems

Homework: 

due Friday, January 16:
1.1,  1.2,  1.3,  1.4,  1.6,  1.8,  1.10,   1.12,  1.14,  1.16,  1.18,  1.19  

due Friday, January 23:
1.22,  1.24,  1.26,   1.29,  1.31,  1.32,  1.34,  1.38,  1.42,  1.44,  1.4
2.1,  2.2,  2.4,  2.10,  2.12,  2.13.


due Friday,  January 30:

 2.14,  2.15,  2.18,  2.20,  2.22,  2.24,  
2.30,   2.32,   2.34,  2.36,  2.38,  2.40,   2.42,  2.46,   2.48,  2.62
3.1,  3.2,   3.7,   3.8,  3.10,  


due Friday,  February 6:

3.12,  3.13,  3.14,  3.17,  3.18,

3.19,  3.22,  3.24,  
3.27 -- 3.30 ( prepare for discussion in class)
3.38,  3.39

due Friday, February 13:
4.1,  4.4, 4.8, 4.10, 4.16, 4.18,

due Friday, February 20:
4.24, 4.25, 4.25,  
4.31,  4.32,  4.38,  4.40,  4.46,  4.48
4.58, 4.66,   5.12,  5.44, 5.46

due Friday,  February 27:
5.4,  5.6,  5.14,  5.16,  5.26, 
7.2,  7.6,  7.8,  7.12,  7.18,  7.20,  7.28,   7.38

due Friday,  March 6:
6.4,  6.5,  6.6,  6.8,  6.10,  6.14,  6.16,  6.17,  6.18,   6.20,  6.24,  

due Friday, March 13:
8.4,  8.6,  8.8,  8.10,  8.12,  8.18,  8.20,  8.22, 8.26

due Friday, March 27:
8.36, 8.38, 8.40,  8.46,  8.48, 8.54 
 

due Friday, April 3: 
9.2,  9.4,  9.8,  9.12,  9.14,  9.16, 9.20,  9.24,  9.26,  9.28
 

due Friday, April 10:

10.2,  10.8,  10.10,  10.18,  10.19 (no proof), 10.26,  10.34

due Friday,  April 17:

12.2,  12.4, 12.6

due Friday,   April 24:

 12.10,  12.12,  12.14,  12.16,  12.18,  12.20,  12.22

Homework submission:

Homework to be submitted on plain paper, stapled if needed. Solutions should be nicely written or typeset.
Leave 1/3 page of margins for instructor's comments.
Homework will not be graded if handwriting is not clear or if paper/margin requirement is not met.