2

 

Spring 2007 Schedule

ASSIGNMENTS AFTER SPRING BREAK - END OF SEMESTER

Date
Reading Due
Problems To Do
Homework To Turn In
Jan 31 Wednesday
Calculus II-02 web information: HOME TOPICS&GOALS    
Feb 1 Thursday

pp 700-703 with Focused Reading: p 701, midway down the page, the single paragraph starting with, "Notice that for every ..." and p 703, Definition 1

11.1 pp 710-711: 3,5,6,9,13,11,13

Q1 Due Feb 1: Read problem 1 on p 710 and its answers. Then send E-mail with one question about this problem and/or its answers to jmorrow@mtholyoke.edu
Feb 6 Tuesday
pp 703-707
11.1 pp 710-711: 4,9,12,15,16,17,19,37,49

P1 Due Feb 6: Submit (on paper) Problems 11.1

p 711:3,4,6,7,9,13,15,17,49

(If you submit additional problems, mark the required HW problems with a large green or purple dot * that will be seen easily by a grader.)

Feb 8 Thursday

pp 713-716 with Focused Reading: p 714, 2/3 down the page, the definition in the red-border box

11.1 pp 710-711: 18,27,34

11.2 pp 720-721: 1,2,3,6,9

 

Q2 Due Feb 8: E-mail Question 2 (any one mathematical question concerning derivatives, integrals, sequences, or infinite series) to jmorrow@mtholyoke.edu
Feb 13 Tuesday

Note test schedule by scrolling down this ASSIGNMENTS page.

pp 708-710 (In this reading about sequences, try to think of the special kind of sequence, the sequence of partial sums of an infinite series.)

pp 717-720

 

Use the "folding 1/7" procedure, starting with 1/8 as a guess, and determine a[2], the second estimate of 1/7, based on 1/8 as the first guess. Click the web DIAGRAM for a description of the procedure.

11.1 p 711: 25,29

11.2 p 720: 10,11,12,13,14,15,17,19,21

P2 Due Feb 13: Problems 11.1 p 711:16,18,27,34

11.2 p 720:9,10,12,13,14,19

 

Feb 15 Thursday
pp 730-731: The Comparison Test

11.4 p 734: 1,3,4,7

Q3 Due Feb 15: Submit on paper:

1. A solution to the folding problem assigned for Tuesday, Feb 13. See my solution below (March 1 assignment), along with the next stage of "folding 1/7."

2. Any question about this folding problem or the tougher problem of getting a[2] for any guess a[1] .

Exam 1 begins with the in-class portion on Wednesday, February 21 . The team portion will also be distributed on that day and due on Tuesday, February 27. Exam responsibilities, very broadly speaking, include the first two sections of Chapter 11, the p-series result (p 725) in section 3, and the Comparison Test in section 4 (just the one test described on p 731). Click for more DETAILS, including practice problems. New Feb 15: You might also take a look at section 7 of Chapter 11, which describes strategies for testing series convergence. It includes many tests that we haven't discussed and that you will not be using on this exam, but you could extract the ones that you do know about. Click HERE for the team exam ground rules and advice.
Feb 19 Monday
    Due 9PM, Feb 19: Send by e-mail a list of your 3-person team members. (Just one person per team needs to send the message.)
Feb 20 Tuesday
p 723 & the p-series result 1 in the red-outlined box on p 725

Use the p-series result 1 in the red-outlined box on p 725 to solve

11.3 p 729: 3,4,9,11,12

11.4 p 734: 2,5,6,8,13

P3 Due Feb 20: Problems 11.1 p 711: 25

11.2 p 720: 21

11.3 p 729:3,9

11.4 p 734: 1,3,5,8

Feb 21 Wednesday
In-class portion of Exam 1
Feb 22 Thursday
Teams work on the take-home portion of Exam 1.
Feb 27 Tuesday
 

 

 

The take-home portion of Exam 1 is due on Tuesday February 27.

 

Feb 28 Wednesday
pp 732-733, the Limit Comparison Test    
Mar 1 Thursday
pp 735-736, the Alternating Series Test

Use the "folding 1/7" procedure, starting with any point a[1] (between 0 and 1/2) as a guess, and determine a[2], the second estimate of 1/7, based on a[1] as the first guess. Click the web GENERAL DIAGRAM for a description of the procedure.Click on 1OVER8 to compare to my solution for the stating with 1/8 problem, which you can generalize for a solution to this problem.

11.4 p 735: 17,18,21,23

11.5 p 739: 1(a)&(b),3,4,5

 
Mar 6 Tuesday

pp 738-739, How large can the error be when estimating the sum of an Alternating Series Test?

pp 740-745 Ratio and Root Tests

11.4 p 735: 25,27,29

11.5 p 739: 1(c),2,6,7,8,10

11.6 p 745: 1,2,3,4

P4 Due Mar 6: Problems 11.4 p 735: 17, 21,25,29

11.5 p 739: 2,3,4,6,10

11.6 p 745: 1

Mar 8 Thursday
Review Parts 1 and 2 of the Fundamental Theorem of Calculus on page 396 and page 398, respectively Complete the table of derivatives and related integrals that was distributed in class on Mar 6. Q4 Due Mar 8: One question - just one please! - about derivatives, integrals or the relation between the two - submit via e-mail
Mar 13 Tuesday
pp 414-419, The Substitution Rule

5.5 pp 420-421: 1,3,4,5,6,7,9,11,13,19,21,27

11.6 p 745: 5,6,7,8

11.5 p 739: 23,24
P5 Due Mar 13: Problems

Review 1 Table: Rows 18,19

5.5 pp 420-421: 3,4,5,11,13,21

11.6 p 745: 5,8

11.5 p 739: 24
Mar 15 Thursday
pp 475-480, Integration by Parts

7.1 pp 480: 1,3,4,5

5.5 p 421: 31,32,35
Due 9PM, Mar 15: Send by e-mail a list of your 3-person team members. (Just one person per team needs to send the message.) Be sure to cc your teammates.
Mar 16-25: SPRING BREAK!!
Exam 2 begins with the in-class portion on Thursday, March 29 . The team portion will also be distributed on Thursday, March 29 and due on Tuesday April 3. Click HERE for Exam 2 responsibilities and practice problems.
Mar 28 Wednesday

pp 530-533, Type I Improper Integrals

pp 723-726, Integral Test

7.8 p 538: 3,5,9

11.3 p 729: 6,25

7.1 pp 480: 7,9,13,15

P6 Due Mar 28: (Note the Wednesday due date.)

Problems

5.5 p 421: 32

7.1 pp 480: 5,13

7.8 p 538: 9

11.3 p 729: 25
Mar 29 Thursday
    In-class Exam
Apr 3 Tuesday
    Team Exam Due
Apr 4 Wednesday
p 564, Application of Integrals: Center of Mass Determine how far the 3rd box can be slid with the two boxes moving along with it without sliding, or, equivalently, determine the center of mass of the first three boxes once the first two boxes have slid out.  
Apr 5 Thursday
pp 565-567, Application of Integrals: Center of Mass 8.3 p 570: 19,21,23  
Apr 10 Tuesday
pp 575-577, Application of Integrals: Probability

Determine the center of mass of the first four boxes once the first three boxes have slid out.

8.3 p 570: 25,27,31,33

8.5 p 581: 1,2,3

P7 Due Apr 10:

Problems

8.3 p 570: 19,21,25,33 &

Determine the center of mass of the first four boxes once the first three boxes have slid out

Apr 11 Wednesday
p 380, The Definite Integral:A limit of Riemann Sums 5.2 p 390: 1  
Apr 12 Thursday
pp 577-579, Application of Integrals: Average Value

8.5 p 581: 4,5

8.3 p 37

Q5 Due Apr 12: One question, based on Wednesday's reading assignment, about the definition of the definite integral via Riemann Sums - just one please! - submit via e-mail unless formatting is difficult
Rather than having an Exam 3 of pyramid type, students will choose one (and only one) of three options. The options are: A 40-point timed test on Monday, April 23, a 60-point project to be chosen and carried out with consultation and assistance of JMorrow, and Nothing. Responsibilities for Test 3: Improper Integrals of Type I (7.8), the Integral Test (11.3), Center of Mass (8.3), and Probability Density Functions (8.5)
Apr 17 Tuesday
pp 749-753, Power Series

8.5 p 581: 9

8.3 p 32

11.8 p 753: 3,5

P8 Due Apr 17:

Problems

8.3 p 570: 31

8.5 p 581: 2,3,4 &

The linked Call Center problem, with solution included as of April 18.

Apr 19 Thursday
 

11.8 p 753: 1,2,6,7,9,15

Deadline for choosing among the options: In-class Test, Project, and "Nothing" - The default option is "Nothing" - Notify by e-mail

Q6 Due Apr 19: One question about anything in Calculus II - just one please! - submit via e-mail unless formatting is difficult

Apr 23 Monday
In-class Test 3 will be given to those opting for it in L2 Cleveland starting at 6:30 PM. You may start as late as 8PM and have a full 90 miniutes work time. Those with time conflict should e-mail to arrange for an alternate time.
Apr 24 Tuesday
pp 760-762, Taylor Series

11.8 p 753: 17,23,24

11.10 p 770: 5,6

Deadline for consulting with JMorrow for those choosing the Project option

P9 Due Apr 24: Postponed to April 25 due to lateness of posting

Problems

11.8 p 753: 1,3,5,7,17

11.10 p 770: 5

Apr 25 Wednesday
   

P9 Due Apr 25:Problems

11.8 p 753: 1,3,5,7,17

11.10 p 770: 5

Apr 26 Thursday
pp 587-588; pp 601-603 Differential Equations, Separable Differential Equations

9.3 p 607: 1

11.10 p 770: 1
Q7 Due Apr 26: One question about anything in Calculus II - just one please! - submit via e-mail unless formatting is difficult
May 1 Tuesday
pp 754-757, "Short Cuts" to Taylor Series Representation

9.3 p 607: 3,4,5,7,8,9

11.9 p 759: 1,2,3,5,6,7

 

May 3 Thursday
  Use power series to solve the initial value problem: y''-y=x+1; y(0)=y'(0)=0 for the function y. Click HERE for solution.

P10 Due May 3: Problems

11.10 p 770: 1

9.3 p 607: 1,3,4,5,7,8,9

11.9 p 759: 1,2,3,5,6,7

Q8 Due May 3: One question about anything in Calculus II - just one please! - submit via e-mail unless formatting is difficult
May 8 Tuesday
Course Wrap-up and Evaluations 11.10 p 770: 23,24

Deadline for Submission of Revised P9 & P10 HW

 

The self-scheduled final exam will be taken on any one of the exam days Friday, May 11 through Tuesday May 15. (Seniors must complete final examinations by the last exam period of Sunday, May 13.) Click HERE for a list of responsibilities and link to examples.

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