| Date |
Topic To Be Discussed |
Assignment Given
|
| 9/09 |
What is Calculus? |
1.
Read for next class: Skim 5.1-5.3;
Written Homework: Pg. 311:
2, odds 5-13, 66; Pg. 320: 3-8; Make
a list of questions on sections 5.1-5.3.
Written HW Due: 9/14/05
|
|
|
|
| 9/12 |
5.1-5.3: Review of derivatives,
and integrals
Using
Technology
|
2. Read for
next class: 5.4 and do Maple-TA 2 by 6:00 a.m. Wed.
Written Homework: Pg. 330:
11, 12, 13, 16, 18, 31; What Do You Remember About Calculus
Skills: first without and then with technology.
Written HW Due: 9/16/05
|
| 9/14 |
5.4 : Integration by substitution
|
3. Read for
next class: Skim Section 3.4 (on page S-1 in back of book) to see
how much you remember about inverse trig functions; Be prepared to ask questions.
Written Homework: Pg. 340:
2, 4, 12, 14, 24-48 every 3rd ; Pg. S-10: 1-12
Written HW Due: 9/19/05
|
| 9/16 |
3.4, 5.4: Inverse trig. functions
and derivatives and integrals |
4. Read for
next class: Section 8.1
Written Homework: Pg. 341: 52, 53, 56, 59, 69,72, 74;
Pg. S-10: 18, 22, 23, 24, 27, 28
Written HW Due: 9/21/05
|
|
|
|
| 9/19 |
8.1 : Integration by parts
|
5.
Read for next class: Section 5.5, 5.6
Written Homework: Pg. 465: 9, 10, 37, 43, 44, 46, 47;
Pg. 484: 20-38 (skip 21 and 31).
Written HW Due: 9/23/05
|
| 9/21 |
5.5 , 5.6 Integration
using with CAS; Integral as a limit |
6.
Read for next class: Section 5.7
Written Homework: Pg. 347(with TI-89): 11,
14, 24, 27, 31, 33, 37; Pg. 354: 1-5,
22, 25-28, 30; Pg. 362: 2, 4
Written HW Due: 9/26/05
|
| 9/23 |
5.6 -5.7: Integral as a limit,
Working with sums |
7.
Read for next class: Chapter 5 Summary
and Section 6.1
Written Homework: Pg. 362: 5, 8, 13, 14, 22, 23, 27, 34,
37, 41, 45
Written HW Due: 9/28/05
|
|
|
|
| 9/26 |
6.1
: Approximating integrals |
8.
Read for next class: Section 6.2
Written Homework: Pg. 381: 1, 4, 6, 8, 12, 13, 25, 26 (justify
inequalities using graphical properties)
Written HW Due: 9/30/05
|
| 9/28 |
6.2 : Error bounds |
9.
Read for next class: Section 7.1
Written Homework: Pg. 391: 1, 2, 6, 9, 11, (do also for
M_n), 23
Written HW Due: 10/03/05
|
| 9/30 |
7.1 : Arc length and Area
|
10.
Read for next class: No new reading --
review for quiz on Monday
Written Homework: 420:
5-8, 10, 12, 14, 23, 37(make the cuts 2" on either side of
the center piece instead of 4"), 40, 42
Written HW Due: 10/05/05
|
|
|
|
| 10/03 |
Quiz on Sections 3.4, 5.1-5.7, 8.1, 6.1-
6.2
7.1 : Arc length and Area |
11.
Read for next class: Section 7.2
Written Homework: 420:
9, 12, 38, 39, 40, 42, 44, 46
Written HW Due: 10/07/05
|
| 10/05 |
7.2: Volumes,
|
12.
Read for next class: Section 7.4
Written Homework: Section 7.2 (p. 428): 4, 5, 14, 18, 19, 25, 29
Written HW Due: 10/10/05
|
| 10/07 |
7.2: Volumes, Solving DE's
|
13.
Read for next class: Review 7.4-finish
Differential Equation Handout
Written Homework: Section 7.2 (p. 428): 36-38, 40; Do
the two problems on the board and the sheet that I handed out. I forgot
to hand out the graph that the sheet refers to, so just skip the questions
that require the paper graph. Be ready to talk about all of this on
Monday.
Written HW Due: 10/12/05
|
|
|
|
| 10/10 |
7.4 : Solving DE's |
14.
Read for next class: Review 7.4
Written Homework: Section 7.4 (p. 446): 1-9. 11-13,
17, 20;
Written HW Due: 10/19/05
|
| 10/12 |
7.4 : Solving DE's; Difference
Eq Example |
No Homework -- study for
test
|
| 10/14 |
Test I -- through 7.2
|
No Homework -- Have a great break
|
|
|
|
| 10/17 |
Fall Break |
|
| 10/19 |
7.4: Differential and Difference
Equations
|
15.
Read for next class: 4.2 (p. S-12)
Written Homework: Section 7.4 (p. 446): 14-16,
19, 23-25; Credit Card Sheet
Written HW Due: 10/24/05
|
| 10/21 |
4.2: Limits involving infinity |
16.
Read for next class: Nothing new
Written Homework: Section 4.2 (p. S-22):
14, 19, 26, 28-30, 36, 37, 55, 58, 63, 73
Written HW Due: 10/26/05
|
|
|
|
| 10/24 |
Pull it all together
|
17.
Read for next class: Examples in 7.5; 9.1
Written Homework: 7.5 (p. 452): 1,3,5,6,9
Written HW Due: 10/28/05
|
| 10/26 |
9.1 : Taylor Polynomials |
18.
Read for next class: 9.2
Written Homework: 9.1: 8, 9, 14,
18, 19: For each, find polynomial by hand, using the formula. Then graph
original function and P5 to see how closely it matches. Keep all of your functions
in the calculator so that we can look at them in class.
Written HW Due: 10/31/05
|
| 10/28 |
9.2 : Taylor's Theorem |
19.
Read for next class: 10.1
Written Homework: 9.1: 2, 3, 4, 5,
6, 27-30; Also, find the maximum errors
for each of 8 and 9, using the formula from 9.2 and the interval (-.5,.5)
for each.
Written HW Due: 11/02
|
|
|
|
| 10/31 |
9.2 : Taylor's Theorem |
20.
Read for next class: 10.2 and Review 10.1;
Complete Maple-TA 20
by 6 a.m. on Wednesday. (If you have forgotten your password, try your e-mail address without the @stolaf.edu or just
the word "password".)
Written Homework: 10.1:
2, 4, 6
Written HW Due: 11/04
|
| 11/02 |
10.1 : Improper Integrals
|
21.
Read for next class: Review 10.2;
Complete Maple-TA 21
by 6 a.m. on Friday
Written Homework: 10.1:
7-10, 13, 16, 25, 26; 10.2: 3, 5, 7
Written HW Due: 11/07
|
| 11/04 |
10.2, 10.3: Detecting Convergence
|
22.
Read for next class: 11.1; Complete Maple-TA 22
by 10 a.m. on Monday
Written Homework: 10.1:
7-10, 13, 16, 25, 26; 10.2: 3, 5(error in book -- can you find it?), 7; 9.1: 8,9 (by
graphing and tracing), 28-30
Written HW Due: 11/09
|
|
|
|
| 11/07 |
11.1 : Convergence of Improper
Integrals & Sequences |
23.
Read for next class: 11.2; Complete Maple-TA 23
by 10 a.m. on Wednesday.
Written Homework: 10.2:
8, 10,
12, 16, 19, 20, 23; 11.1: 1, 2, 6, 8
Written HW Due: 11/11
|
| 11/09 |
11.2: Convergence of Infinite
Series |
24.
Read for next class: 11.3; Complete Maple-TA 24
by 10 a.m. on Friday.
Written Homework: 11.1: 9, 15, 19-21, 27,
31, 33, 34; 11.2: 1, 3, 7, 8
Written HW Due: 11/14
|
| 11/11 |
11.2: Convergence of Infinite
Series |
25.
Read for next class: 11.3; Complete Maple-TA 25
by 10 a.m. on Monday.
Written Homework: Koch Snowflake sheet: 11.2: 11-14, 16-17, 25, 31, 32, 53
Written HW Due: 11/ 16
|
|
|
|
| 11/14 |
11.2: Convergence of Infinite
Series |
26.
Read for next class: None -- Review for test
Written Homework: 11.2: 2, 3d-e, 46-51
Written HW Due: 11/21
|
| 11/16 |
Review for Test
|
|
| 11/18 |
Test II |
|
|
|
|
| 11/21 |
11.3: Testing for convergence |
27.
Read for next class: None
Written Homework: 11.3: 1,
3-6, 9-12, 17-20 (show convergence only on 17-20, not bounds), 21-24
Written HW Due: 11/30
|
| 11/23 |
Thanksgiving |
|
| 11/25 |
Thanksgiving |
|
|
|
|
| 11/28 |
11.4 : Absolute convergence |
28.
Read for next class: 11.4-11.5;
Complete Maple-TA 28
by 10 a.m. on Wednesday.
Written Homework: 11.3:
31, 34, 36, 46-52 even;
Written HW Due: 11/30 in draft
form: 12/02 in final form
|
| 11/30 |
11.5 : Power Series |
29.
Read for next class: None
Written Homework: 11.4:
6-12, 19-23; Power Series Handout: 1 all, 2a,c, 3 all, 4a,b
Written HW Due: 12/02 in draft form: 12/05 in final form
|
| 12/02 |
11.5 : Power Series
as Functions |
30.
Read for next class: None
Written Homework: 11.5: 2-4, 8, 10 (open intervals for 8
and 10), 27-32; 11.6:
1, 2, 3, 5, 7, 9, 10, 29, 31
Written HW Due:
12/05 in draft form: 12/07 in final form
|
|
|
|
| 12/05 |
8.3: Trigonometric Antiderivatives
|
|
| 12/07 |
Review
for Test III
|
|
| 12/09 |
Test III |
Test
over Chapter 11
|
|
|
|
| 12/12 |
Review for Final |
|
| 12/14 |
Reading Day |
|
|
|
|
| 12/20 |
Final Exam, 2: 30-4: 30
p.m. |
|
|
|
|
|
|
|