Math MATH 23b: Introduction to Proofs

Information for students, Spring 2008

Class meets at: Goldsmith 116, MW 2:10 - 3:30 PM
Lecturer: Dmitry Kleinbock
Office: Goldsmith 207, phone 6-3059
Office Hours: Tu 12-1 and 3-4 PM or by appt.
E-mail address: kleinboc@brandeis.edu
Teaching assistants: Chao-Jen Wang cjwang@brandeis.edu and Yuqing Zhang yqzhang@brandeis.edu,
office hours Th 1-3 PM, Goldsmith 106 and 112 respectively.


Final Exam: Tuesday, May 6, 1:30-4:30 PM, Goldsmith 317 (3rd floor). Review sheet (PDF) Solutions to review problems (PDF)
Review session: May 4, 4-5 PM.


Homework 1: Problems 1.20, 1.33, 1.36, 1.40, 1.46(a), 1.47, due on Wednesday, January 30, rewrite due on 2/13.
Homework 2: Problems 1.29, 1.30, 1.49(c,d,e), 1.50, 1.51, due on Wednesday, February 6, rewrite due on 2/27.
Homework 3: Problems 2.22, 2.28, 2.29, 2.32, 2.34 and (optional) 2.11, due on Wednesday, February 13, rewrite due on 3/5.
Homework 4: Problems 2.36, 2.37, 2.47 and one more problem (PDF), due on Wednesday, February 27, rewrite due on 3/12.
Homework 5: Problems 3.8, 3.9, 3.17, 3.19, 3.22, 3.26, 3.28, 3.47, due on Wednesday, March 5, rewrite due on 3/19.
Homework 6: Problems 3.38, 3.49(b,c,d), 3.56, 3.57, 3.62, due on Wednesday, March 12, rewrite due on 3/26.
Homework 7: Problems 4.21, 4.22, 4.29(a,b), 4.31, 4.33(d), 4.34, 4.39, due on Wednesday, March 19, rewrite due on 4/7.
Homework 8: Problems 4.43, 4.45, 4.49, two more problems (PDF) and (optional) 4.51, due on Wednesday, March 26, rewrite due on 4/16.
Homework 9: Problems 13.11, 13.22, 13.23, 13.25, 13.26, 13.27, 13.29, due on Monday, April 7, rewrite due on 4/30.
Homework 10: Problems 13.30, 13.32, 13.34, 14.13, 14.14, 14.15, 14.16, 14.22 and (optional) 13.39, due on Wednesday, April 16, rewrite due on 5/5.
Homework 11: Problems 14.45, 14.46, 14.47, 14.49, 14.56, 14.58, 14.59, 14.60, due on Wednesday, April 30.
Homework 12: Problems 15.3, 15.8, 15.14, 15.18(a), 15.21, 15.22 and (optional) 15.35, due on or before Tuesday, May 5.

Quiz 1: Wednesday, February 13, covered Chapter 1 and the first part of Chapter 2 (pages 25-31). Solutions (PDF).
Quiz 2: Monday, March 10, covered Chapter 3. Solutions (PDF).

Midterm: Wednesday, April 2, covered Chapters 1-4. Review sheet (PDF). Solutions and Extra Problems (PDF).
Solutions to Extra Problems are due on April 16 and count as a rewrite towards the midterm grade.
Review session: April 15, 3-4 PM.

Quiz 3: Wednesday, April 16, covered Chapter 13. Solutions (PDF).


The goal of this writing-intensive course is to give students an idea of what it's like to solve mathematical problems and write rigorous mathematical proofs. The textbook is: Mathematical Thinking: Problem-Solving and Proofs (2nd Edition) by John P. D'Angelo and Douglas B. West. Hopefully it will be soon available on reserve at the Science Library. Meanwhile here is Chapter 1 in PDF format.


Have a great semester!