Math 109 - Schedule.

Approximate Lecture Schedule (ECCLES text)
It is very important for you to read the material before each lecture.


Week	ending on	Monday	Wednesday	Friday
1	Jan 11	1.1+1.2	2.1+2.2	2.3
2	Jan 18	Review 1-2	3.1+3.2	4.1
3	Jan 25	Holiday	4.2 -4.4	5.1-5.2
4	Feb 1	5.3+5.4	6.1-6.2	Review
5	Feb 8	Exam 1	6.2-6.3	7.1
6	Feb 15	7.1-7.3	7.4-7.5	7.6-7.7
7	Feb 22	Holiday	8.1-8.3	8.4-8.5
8	Mar 1	9.1-9.2	9.3	Review
9	Mar 8	Exam 2	10.1-10.2	10.3
10	Mar 15	11.1-11.3	12.1-12.3	12.1-12.3
11	Mar 22	Final Exam

FINAL EXAM: Monday, March 18, 2013; 8:00am - 11:00am; in PETER 102.

Math 109 - Homework Assignments.

Please drop your HW assignment in the HW drop-box (basement of the AP&M building) each Friday by 5:00pm. No late HW will be accepted. When writing up your homework assignments, please follow the formatting guidelines (courtesy of D. Meyer and T. Melcher.) Students are allowed to discuss the homework among themselves, but are expected to turn in their own work — copying someone else's is not acceptable. Homework scores will contribute 20% to the final grade.

Although you are required to turn in only the HW problems listed below, you are strongly advised to attempt solving as many problems as possible from each section as well as the problem sections at the end of each chapter.

HW 1, due on Friday, January 18.
1.2, 1.3, 1.5, 2.1 (i-vii), 2.4, 2.6. page 53: 1, 2.

HW 2, due on Friday January 25.
3.1, 3.2, 3.6, 3.7; 4.1, 4.4, 4.5, 4,7. Page 54: 9, 10,11.

HW 3, due on Friday, February 1.
5.1, 5.6. Page 53-57: 12, 13, 14, 16, 17, 19, 21.

HW 4, due on Friday, February 8.
6.4, 6.5, 6.6, 6.7; Page 115: 5.

HW 5, due on Friday, February 15.
7.1 iii and iv, 7.2 iv and v, 7.4 i and v, 7.8, Pages 116-117: 7, 11 iv and v, 12, 13.

HW 6, due on Friday, February 22.

1. Use universal and existential quantifiers to write down the epsilon-delta definitions of the existence
of the limit of a function f:R --->R and its continuity at a point x in R.

2. Let f: R ---> R be the function given by f(x)=sin(1/x), if x is different from 0 and f(0)=0.
Use the epsilon-delta definition you gave in 1. to show that the limit of f when x approaches 0
does not exist.

3. Let f: R ---> R be the function given by f(x)=x^2*sin(1/x), if x is different from 0 and f(0)=0.
Use the epsilon-delta definition you gave in 1. to show that f is continuous at x=0.

8.2, 8.3 iii. and iv.

HW 7, due on Friday, March 1.
9.1 iv, 9.2, 9.4, 9.5, pages 117-118: 15, 17, 18, 19.

HW 8, due on Monday, March 11 (by 5:00pm).

1) Construct a bijective function whose domain is the interior of a 1 by 1 square and whose codomain
is the real plane (RxR).

2) Exercices 10.1-10.4 (textbook, page 132.)

HW 9 (will not be collected): 11.4, 11.6, 12.3-12.7, pages 182--185:2, 4, 12, 13, 14, 18.