Math 321 (Fall 2007)
- Instructor: Byung-Jay Kahng
- Email: kahngb@canisius.edu
- Office: 304B Wehle Technology Center
- Office Phone: (716) 888-2493
- Office Hours: Mon 9:00 - 10:30, TuTh 10:00 - 12:00,
also by appointment
Course Schedule: Weekly topics, Exam dates, ...
OVERVIEW:
Math 321 develops the foundations of modern real analysis of one variable.
It is among the first courses in Canisius mathematics curriculum where the
emphasis is on mathematical proof and reasoning. This course focuses on
a rigorous justification of the topics covered in Math 111/112 (i.e. "Why
do the results in calculus really work?"), and provides a stepping stone
to higher-level mathematics. It should be a nice preparation for those
who are considering graduate studies in mathematical sciences.
Homework Assignments:
- HW#1 [Due 9/5]: (§ 1.1)[p5]: 2;
(§ 1.2)[p14]: 3,9,12;
(§ 1.3)[p19]: 5(c)(d)(e),6;
(§ 1.4)[p26]: 5,8,12
- HW#2 [Due 9/14]: (§ 1.4)[p26]: 14;
(§ 1.5)[p30]: 4,6,7;
(§ 1.7)[p42]: 4,13,16,20,21
- HW#3 [Due 9/21]: (§ 2.1)[p52]: 5,8,9,10,16;
(§ 2.2)[p59]: 4,6,7,8;
(§ 2.3)[p65]: 3
- HW#4 [Due 10/1]: (§ 2.3)[p65]: 5,6,12,21,(23);
(§ 2.4)[p72]: 3,7,8,10;
(§ 2.5)[p79]: 1
- HW#5 [Due 10/10]: (§ 2.6)[p85]: 8,9(a)(b),11;
(§ 2.7)[p89]: 7,8
- Exam 1 [10/12 (Fri)]
- HW#6 [Due 10/26]: (§ 3.1)[p100]: 4,5,9,11,18,19,23;
(§ 3.2)[p107]: 3,5,6,10
- HW#7 [Due 11/9]: (§ 1.6)[p34]: 1(b),2(b)(c)(f);
(§ 4.1)[p128]: 1(b)(c)(e),3(b)(d)(e)(f),4,6,8,12,13,17(b)(d)(f)
- HW#8 [Due 11/19]: (§ 4.2)[p141]: 1(b)(d),2,5,14,16,17,21;
(§ 4.3)[p147]: 2(a)(b),4(a)(b),5
- Exam 2 [11/19 (Mon)]
- HW#9 [Due 12/5]: (§ 4.4)[p160]: 2(a)(d)(e),5,16;
(§ 5.1)[p174]: 1(d),5(d)(e),7(b),8,9,10;
(§ 5.2)[p187]: 1(e),3(b),6,9,11;
(§ 5.3)[p196]: 6(a)(b)(d)(i)
- Final Exam: 12/13 (Th), 8:30--10:30, at OM 210
Additional Information
- Pre-requisites: Should have taken (and passed) Math 211, 230. Knowledge of Math 219 is
not absolutely necessary, but will be of course helpful.
- Last day to drop/add classes is 9/5; Last day to withdraw from a course is 11/16.
- Due to the nature of the subject matter, we will be working with a lot of proof problems
(in homeworks, as well as in exams). When writing mathematical proofs, you should make
an effort to use complete English sentences, proper English/Math grammar, spelling and punctuation.
Leave enough room for me to write comments/feedback on your proofs.
- In the below are a (very short, not full) list of some classic books on introductory real analysis:
(*) W. Rudin, Principles of Mathematical Analysis
(*) T. Apostol, Mathematical Analysis
(*) R.C. Buck, Advanced Calculus
(*) M. Rosenlicht, Introduction to Analysis
- If you have a disability for which accommodations and support are necessary, please
let me know. Also contact the office of Disability Support Services at (716) 888-3748.
Return to BJ Kahng's Home page