Wednesday, Jan 16, 2002.

Read Chapter 1 and Appendix A.
Write up problems 3 and 4 from section 1.5 on page 13 to turn in on Friday. Look also at problem 3 from section 1.6 on page 13 to turn in next Wednesday.

 

Fri, Jan 18, 2002.

Review Chapter 1 and read 2.1-2.3.
Write up problem 3 from section 1.6 on page 13 to turn in next Wednesday.
On Wednesday, be prepared to discuss problem 1-3 on page 14, and on page 30-31, Exercises 2.1: 1, 2, 3; Exercises 2.2: 1,3; Exercises 2.3: 1.

Monday, Jan 21, 2002.

Martin Luther King Holiday

 

Wednesday, Jan 23, 2002.

Read sections 2.4-2.6
On Friday, be prepared to discuss Exercises 2.4: 2, 3; 2.5: 1; 2.6: 1, 3, 4 on pages 31-32.
On page 32 do problems 2-1, 2-3, and 2-4, and write up the solution of one of them to turn in next Wednesday.

 

Friday, Jan 25, 2002.

Read section 3.1-3.2

On page 46-47, prepare Exercises 3.1: 1, 2; 3.2: 2, 3, 4 for discussion.

Monday, Jan 28, 2002.

Read sections 3.3-3.4
Prepare to discuss Exercises 3.3: 1, 3.4: 1, 2, 3 on page 47.

 

Wednesday, Jan 30, 2002.

Read sections 3.5-3.7.
Write up Problem 3-1 and 3-4 on page 48 to turn in next Wednesday.

 

Friday, Feb 1, 2002.

Read section 4.3.
Prepare exercises 4.3: 1 and 3 on page 58 and problem 4-2 on page 59 for discussion.

Monday, Feb 4, 2002.

Read sections 5.1-5.3.
Prepare exercises 5.1: 1 and 4 on page 73, exercises 5.2: 3 and 4 on page 73, and exercises 5.3: 2, 3 and 4 on page 74 for discussion.

 

Wednesday, Feb 6, 2002.

Finish reading chapter 5.
On page 75, prepare problems 5-1, 5-2, 5-7 for discussion.

 

Friday, Feb 8, 2002.

Read sections 6.1-6.3.
Prepare Exercises 6.2: 1 and 2 on page 89 for discussion.

Monday, Feb 11, 2002.

Review sections 6.1-6.3
Prepare Exercises 6.3: 1 on page 90 for discussion.

 

Wednesday, Feb 13, 2002.

Review Bolzano Weierstrass Theorem.
Complete Take Home Exam covering Chapters 1-6.3.

 

Friday, Feb 15, 2002.

Read sections 6.4-6.5 on Cauchy Sequences and supremum and infimum.
Prepare Exercises 6.4: 1 and 2 on page 90 and Exercises 6.5: 1 and 4 for discussion.
Begin work on Problems 6-1 and 6-3 on page 91 to write up and turn in next Friday.

Monday, Feb 18, 2002.

Read sections 7.1-7.2.
On page 109, prepare exercises 7.2: 1, 3 for discussion.

 

Wednesday, Feb 20, 2002.

Read sections 7.3-7.5
On page 110, prepare exercises 7.3: 1a, 2, 4 for discussion.
On page 110, prepare exercises 7.4-7.5: 1 (e,h,i) for discussion.

 

Friday, Feb 22, 2002.

Read sections 7.6-7.7
Prepare problem 7-1 and 7-2 on page 111 for discussion.
Write up problem 7-4 and 7-7 on page 112 to turn in next Friday.

Monday, Feb 25, 2002.

You may substitute problem 7-2 on page 111 for problem 7-4 to turn in on Friday.
Hint on problem 7-2. Write out the given for n = 1, 2, and 3, and use these to deduce the pattern of proof needed for the general case.
Hint on problem 7-4. Use given to determine bounds on a(N+k), k = 0,1,2,..., and write a(N+k) = a(N+k)*(a(N+k-1)/a(N+k-1)*a(N+k-2)/(a(N+k-2)*...*(a(N)/a(N). Then find upper and lower bounds, take the (N+k)th root of both sides and use the Squeeze Theorem to complete the proof.

 

Wednesday, Feb 27, 2002.

Read Chapter 8
On page 123, do Exercises 8.1: 1b,d,e,g, Exercise 8.2: 2, Exercises 8.3: 1, 2.

 

Friday, Mar 1, 2002.

Read Chapter 9 and begin reading Chapter 10
On page 134, Exercises 9.2: 2, and on page 135, Exercises 9.3: 3.

Monday, Mar 4, 2002.

Read Chapter 10
Rewrite and resubmit Problem 7-2 and 7-7c on Wednesday.
Write up exercise 9.3: 3 to turn in on Wednesday.

 

Wednesday, Mar 6, 2002.

Read 11.1.
Write up on page 167:
Exercises 11.1: problems 1 and 6 to turn in next class period.

 

Friday, Mar 8, 2002.

No class

Monday, Mar 18, 2002.

Read 11.2 and 11.3
Write up on pages 167-168:
Exercises 11.2: problems 1 and 3,
Exercises 11.3: problems 4 and 5
to turn in on Wednesday.

 

Wednesday, Mar 20, 2002.

Write up on page 168
Exercises 11.4: problems 1 and 2,
Exercises 11.5: problem 1
to turn in on Friday.

 

Friday, Mar 22, 2002.

Review 6.4-11.4 for next exam with particular emphasis on 6.4, 6.5 and chapter 11.

Monday, Mar 25, 2002.

Take Home Exam.

 

Wednesday, Mar 27, 2002.

No Class because of Take Home Exam

 

Friday, Mar 29, 2002.

Holiday, no class.

Monday, Apr 1, 2002.

Read section 12.1
On page 180 do 2 and 4 in exercises 12.1 to turn in on Wednesday.

 

Wednesday, Apr 3, 2002.

On page 192 do problem 2 in Exercises 13.1 and problem 1 in Exercises 13.2 to turn in on Friday.

 

Friday, Apr 5, 2002.

On page 194 do problem 13-2 to turn in on Monday

Monday, Apr 8, 2002.

On page 192, do problem 1bc in Exercises 13.3 to turn in on Wednesday.

 

Wednesday, Apr 10, 2002.

On page 300, do problem 1 in Exercises 21.3 and problem 1 in Exercises 21.4 to turn in next Monday.

 

Friday, Apr 12, 2002.

Read Section 22.1.
Finish up problems assigned on Wednesday to turn in on Monday.

Monday, Apr 15, 2002.

On page 322 in Exercises 22.1 do problem 1bcd to turn in on Wednesday.

 

Wednesday, Apr 17, 2002.

On page 322-323 do problem 3 in Exercises 22.1, problem 2d in Exercises 22.2, and problem 4 in Exercises 22.2 to turn in on Friday.

 

Friday, Apr 19, 2002.

Monday, Apr 22, 2002.

 

Wednesday, Apr 24, 2002.

 

Friday, Apr 26, 2002.

Third Take Home Exam focusing improper integrals, the Gamma Function, and uniform convergence.

Monday, Apr 29, 2002.

 

Wednesday, May 1, 2002.

Saturday, May 4, 2002.

Final Exam, 9:00 a.m. - 12:00 p.m.

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Created 01/02/2002. Last modified 04/17/2002. Email to ekh@wfu.edu