M120 Brief Survey of Calculus II
Spring
2009; 17931 CV201; MW 5:45-7:15
Instructor: M. Ehringer
Office: LF 104, 941-2627 Home: 246-1854
Text: Calculus for Business, Economics, and the Social and
Life Sciences by Hoffman & Bradley, McGraw-Hill, 9th
Edition
Tentative daily schedule
|
1. |
Mon, Jan
12 |
1.5
Limits |
|
2. |
Wed, Jan
14 |
1.6
One-Sided Limits and Continuity |
|
3. |
Wed, Jan 21 |
4.3
Differentiation of Logarithmic and Exponential Functions |
|
4. |
Mon, Jan
26 |
4.4
Additional Exponential Models (project
1 – Limits – due) |
|
5. |
Wed, Jan
28 |
Test Chapters 1 & 4
|
|
6. |
Mon, Feb
2 |
5.1
Antidifferentiation: The Indefinite
Integral |
|
7. |
Wed, Feb
4 |
5.2
Integration by Substitution |
|
8. |
Mon, Feb 9 |
5.3 The
Definite Integral and the Fundamental Theorem of Calculus |
|
9. |
Wed, Feb
11 |
5.4 Area
Between Curves and Average Value |
|
10. |
Mon, Feb
16 |
5.6
Applications (project 2 –
Integration Concepts – due) |
|
11. |
Wed, Feb
18 |
Test Chapter 5
|
|
12. |
Mon, Feb
23 |
6.1
Integration by Parts; Integral Tables |
|
13. |
Wed, Feb
25 |
6.2
Improper Integral |
|
14. |
Mon, Mar
2 |
6.3
Numerical Integration |
|
15. |
Wed, Mar 4 |
Test Chapter 6 (project 3 – Riemann Sums – due)
|
|
16. |
Mon, Mar
9 |
7.1
Functions of Several Variables |
|
17. |
Wed, Mar
11 |
7.2 Partial
Derivatives |
|
18. |
Mon, Mar
16 |
7.3
Optimizing Functions of Two Variables |
|
19. |
Wed, Mar
18 |
7.4 The
Method of Least-Square |
|
|
Mar 23-26 |
Spring Break |
|
20. |
Mon, Mar
30 |
7.6
Double Integrals |
|
21. |
Wed,
April 1 |
Review and Catch-up
|
|
22. |
Mon,
April 6 |
Test Chapter 7 (optional project –
Regression models – due)
|
|
23. |
Wed,
April 8 |
Appendix
A3 – Evaluating Limits with L’Hopital’s Rule |
|
24. |
Mon,
April 13 |
9.1
Infinite Series; Geometric Series |
|
25. |
Wed,
April 15 |
9.2 Test
for Convergence |
|
26. |
Mon,
April 20 |
9.3
Functions as Power Series; Taylor Series |
|
27. |
Wed,
April 22 |
Test Chapter 9 and L’Hopital
(project 5 – Series &
Sequences – due) |
|
28. |
Mon, April 27 |
Review
for Final |
Wed May 4 - 5:45-7:30
Comprehensive Final Exam
To
discover the concept of limits as applied to multiple functions and
integration. To learn multiple
interpretations and applications of integration, multivariable calculus,
sequences, infinite series, and
Grades: There will be five100 pt tests The comprehensive final is worth 200
pts. An additional 100 points are from the best 10 of 12 ten-point pop
quizzes. There will also be 100 points from four assigned projects.
Office Hours: Mon 3:00-5:00;
Tues 11:00-12:00; Wed 3:00-5:00; Wed 1:00-2:00 in Math Lab LF101,
other
times available by appointment
M120
Assignments – 9th Edition
* - indicates
especially difficult problems
|
Number |
Section |
Pages |
Problems |
|
1. |
1.5 |
Pg 69 |
1-35 odd, 43-51 odd |
|
2. |
1.6 |
Pg 81 |
1-41 odd, 53 |
|
3. |
4.3 |
Pg 330 |
1-43 odd,
61-69 odd, 73-77 odd |
|
4. |
4.4 |
Pg 341 |
5-7 odd,
9 (f’ only), 11-15 odd, 17 (f’ only), 19-29 odd, 31a, 35, *45 |
|
Review |
Chap 1 |
Pg. 89 |
30-41, *42, *43, 44-52 (do
odds first, evens if need more) |
|
Review |
Chap 4 |
Pg. 350 |
14-43, 47, 48, 70 (do odds first, evens if need more) |
|
5. |
5.1 |
Pg 371 |
1-21 odd, 27-59 odd |
|
6. |
5.2 |
Pg. 383 |
1-29
odd, 35-55 odd |
|
7. |
5.3 |
Pg. 399 |
1-23 odd,
27-39 odd, 47-51 odd, 55, 61, 63 |
|
8. |
5.4 |
Pg. 416 |
1-39 odd,
45-51 odd, 59.The calculator may be used to evaluate the integrals on all
problems except #21, #23, #45, #47, and #59.
Evaluate these using calculus techniques (SUBSTITUTION!!) |
|
9. |
5.5 |
Pg 430 |
1-5 odd, 21, 23 |
|
10. |
5.6 |
Pg 446 |
7-13 odd, 49 |
|
Review |
|
Pg 453 |
Do only odds First 1-14, 16, 17, 19-28, 30, 31-33, 35-42,
55-59, 61, 63, 66, 67, 69, 76, 78, 81, 83, 85, 87 |
|
11 |
6.1 |
Pg 475 |
1-5
odd, 9-19 odd, 23, 27-39 odd, 43. 47 |
|
12 |
6.2 |
Pg 484 |
1-21 odd, 29, 31 |
|
13 |
6.3 |
Pg 494 |
3-11 odd, 17-23 odd
[Calculator 29, 31, 27, 41, 47) |
|
Rev |
Chap 6 |
|
1-5 odd, 6, 10,
11-16 all, 17-25 odd, 33-39 odd, 43, 45 |
|
14 |
7.1 |
Pg 522 |
1-29 odd, 33, 35,
45 |
|
15 |
7.2 |
Pg 536 |
1-25 odd, 37, 39,
43, 45 |
|
16 |
7.3 |
Pg 549 |
1-9
odd, 13 17 (omit 2nd partials), 21, 25, 35 (hint: solve for r to create function of only two
variables) |
|
17 |
7.4 |
Pg 561 |
Show all steps
using calculus to minimize for #1 & #3 Calculator may be
used on #17-21 odd, 3 |
|
18 |
7.6 |
Pg 591 |
1-17 odd, 25, 55-59 |
|
Rev |
Chap 7 |
Pg 599 |
1, 3, 6, 7, 9,
11-13, 22-25, 32, 33 |
|
19 |
Appen 3 |
Pg 886 |
1-15 odd |
|
20 |
9.1 |
Pg 699 |
1-37 odd |
|
21 |
9.2 |
Pg 712 |
1-11
odd, 17-23 odd, 17-35 odd |
|
22 |
9.3 |
Pg 727 |
15-21 odd |
|
Rev |
Chap 9 |
Pg 731 |
1-8,9, 10, 12,
14,15,16,17,22-23 |
|
Rev |
|
Pg 890 |
59-64 |