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.


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.