SYLLABUS -- MATH 4B -- CALCULUS II Sec No. 1614, Fall 07 Don Power
Office: Science, Room 210. Phone 384-6291. Office hours 9-10 MTWF, 10-11 Tu
Web site: http://www.mccd.edu/faculty/powerd/ e-mail: power.d@mccd.edu
Home phone: Refer to Atwater Phone Directory.
My Schedule: 8-9:00 MTWF in I-109; 12-2:00 Daily in I-143, 3:00 MWF in V-112.
Math Lab: Open Mon 9:00am-9:30pm, Tu-Th 8:00am-9:30pm, Fri 8:00am-1:00pm.
Textbook: Anton, Calculus, Eighth Edition
Calculator: You will need a graphing calculator. I recommend a Texas Instruments TI-83 or above
Lecture/Lab/Test Schedule (Appropximate):
|
1. |
Aug 13-17 |
3.6, 7.1, 7.2, |
|
ESO 1, 2, 3 |
|
2. |
Aug 20-24 |
5.3, 7.3, 7.4, |
|
ESO 1, 2, 3, 4 |
|
3. |
Aug 27 - Aug 31
|
5.8, 7.5, 7.6, |
Fri: Lab 1 due |
ESO 2, 8 |
|
4. |
Sep 3-7 (Monday holiday) |
7.7, 7.8, |
|
ESO 5, 6 |
|
5. |
Sep 10-14 |
8.1, 8.2, |
Fri: TEST 7 |
ESO 7 |
|
6. |
Sep 17-21 |
8.3, 8.4, 8.5, |
Fri: Lab 2 due |
ESO 7 |
|
7. |
Sep 24 - Sep 28 |
8.6, 8.7, |
Fri: Lab 3 due |
ESO 7, 18 |
|
8. |
Oct 1-5 |
8.8, 9.1, 9.2, |
|
ESO 9, 10 |
|
9. |
Oct 8-12 (Fri no classes) |
9.3, 9.4, |
Wed: Lab 4 due |
ESO 10 |
|
10. |
Oct 15-19 |
10.1,10.2, |
Fri: TEST 8-9 |
ESO 11, |
|
11. |
Oct 22-26 |
10.3,10.4, 10.5, |
|
ESO 12, 13, 14 |
|
12. |
Oct 29 - Nov 2 |
10.6, 10.7, |
|
ESO 12, 15 |
|
13. |
Nov 5-9 |
10.8, 10.9, |
|
ESO 12, 14, 15 |
|
14. |
Nov 12-16 (Monday holiday) |
10.10, 11.1, |
Fri: Lab 5 due |
ESO 15, 17 |
|
15. |
Nov 19-23 (Thu-Fri holiday) |
11.2, |
Mon: TEST
10 |
ESO 17 |
|
16. |
Nov 26 – Nov 30 |
11.3, 11.4, |
|
ESO 16, 17 |
|
17. |
Dec 3-7 |
11.5, 11.6 |
|
ESO 16, 17 |
|
18. |
Fri, Dec 14, 8:00 |
|
FINAL EXAM |
|
|
Grading
System |
|
Grading Scale |
Final Grade** |
|
-- Homework (top
15 of 16), 7 each |
100 points |
90% 585-650 |
A |
|
-- Labs (5), 10
each ESO 18 |
50 points |
80% 520-584 |
B |
|
-- 3 Chapter
Tests -- 100 points each |
300 points |
70% 455-519 |
C |
|
-- Final Exam |
200 points |
60% 390-454 |
D |
|
Total |
650 points* |
Below 60%
0-389 |
F |
|
*Plus Quizzes (2 points each) |
|
|
**See Below |
Homework
Due dates: The homework for each week's lectures is due
in class on Tuesday of the following week.
(Example: hwk
on 3.6, 7.1, and 7.2 is due Aug 21). I
will accept late homework up to 4:00 Friday afternoon (2 points off). I will not collect homework during finals
week.
Format:
Use standard notebook paper. Do not use spiral notebook paper unless you trim the ragged edge.
Start a new page for each lesson.
Put your name in the upper right corner of the page; do not write in the upper left corner.
Write clearly and organize your work neatly in one or two columns.
Leave at least one space between problems.
Staple your pages together in order in the upper left corner of the page.
Each question: Include:
Chapter Tests
Preparation: Understand the
concepts and be able to solve the types of problems in the Study Guide on the
web site, and in the Chapter Review in the textbook:
Notes: You may use one 3x5 card of notes.
Work: You must clearly show your work to explain/justify your answers.
Calculator: For most questions, you
may not use a calculator except to check your work at the end of the
test period.
Make-ups are available if you miss a chapter test due to an emergency. You may make up one chapter test without penalty. For each additional make-up, your score will be reduced by 10% (unless you make prior arrangements). Deadline: within one week of the original test.
Location/Time of Make-ups: Developmental Ed Office in
Lowest test: Your lowest test will be replaced by your final exam percentage, if it helps your grade.
Final Exam: The final exam is comprehensive.
Quizzes will be scored at 2 points each. These may add to the points available for the class. There will be no make-ups.
Final Grade
Your final grade will be based on the points earned for the class, with the following exceptions:
1. If you have a C (70%) or better on both the final exam and the homework, you will receive a C or better in the course. 2. If you do not take the final exam, you will receive a D or F in the course. 3. If both the final exam and the chapter tests are below 68%, you will receive a D or F in the course.
Attendance for the full class period is mandatory. I may count you absent if you arrive late or leave early. If you wish to drop the class, that is your responsibility. However, I may drop you for nonattendance. Examples: (1) absence for a full week of consecutive classes, (2) missing a test and not arranging for a make-up, or (3) missing a total of four or more class periods if you are failing the course.
Academic Honesty. It is your responsibility to refrain from cheating in any form, and to refuse to aid or abet any form of academic dishonesty. See the Merced College Academic Honesty Procedure (under "Civil Assurances" in the Schedule of Classes) for definitions and a partial list of possible disciplinary actions. For a first offense, expect to receive a zero score for the particular assignment or exam; for a repeated offense, expect a failing grade for the course and referral to the Office of Instruction (since serious or repeated offenses may result in suspension from the college).
Cell Phones and Pagers are disruptive. Except for public safety (police, fire, paramedic), please make them silent. Cell phones may not be used or on students' desks during any test.
Expected Student Outcomes (ESOs)
1. Find the derivatives of exponential and logarithmic functions, and perform logarithmic differentiation. 7.2, 7.3
2. Evaluate integrals involving exponential and logarithmic functions. 7.2, 7.3, 7.6
3. Solve problems involving exponential growth and decay. 7.1, 7.4
4. Evaluate and sketch inverse trigonometric functions and be able to verify identities using these functions. 7.3
5. Find the derivatives and evaluate integrals involving inverse trigonometric functions. 7.7
6. Define, differentiate, and integrate hyperbolic functions and their inverses. 7.8
7. Evaluate integrals using integration by parts, trigonometric substitutions, partial fractions, miscellaneous substitutions, tables of integrals, numerical integration and by using computer algebra systems. 8.1-8.7
8. Define and evaluate indeterminate forms. 7.5
9. Evaluate integrals with infinite limits and with discontinuous integrands. 8.8
10. Solve applied problems requiring integration. 8.8, 9.1, 9.3
11. Calculate the limit of a sequence or show that the limit does not exist. 10.1, 10.2
12. Test infinite series for convergence or divergence (including conditional convergence or absolute convergence). 10.3-10.6, 10.9
13. Estimate the sums of convergent series. 10.3, 10.4
14. Calculate the radius and interval of convergence of a power series. 10.5, 10.8, 10.9
15. Represent functions in terms of their Taylor or Maclaurin series expansions. 10.7-10.10
16. Define conic sections and determine their equations and be able to graph parabolas, ellipses and hyperbolas, including rotations. 11.4-11.6
17. Sketch curves given in parametric or polar form, identify and sketch conics in polar form, find areas and arc length in polar form and find the surface area of surfaces of revolution. 11.1-11.3, 11.6
18. Make appropriate use of technology. 8.6, lab assignments, computer homework problems.
Homework Assignments
Do all the quick check exercises at the
beginning of each exercise set , and:
3.6 1, 3b, 5b, 9, 12, 17, 21, 25, 29, 33, 37, 41 CAS, 47, 49, 53, 57, 61, 67, 71, 75, 76
CAS (Maple) command: f:= mathexpression; diff (f,x);
5.3 1ac, 3ac, 7, 11, 17, 19, 23, 27, 29 (use dy, not dx), 31, 35, 37, 39, 41 CAS
CAS (Maple) command: f:= mathexpression; g:=int (f,x); plot ({g+0, g+1, g+2},x=-5..5);
5.8 1ac, 3, 7, 9, 11, 15, 17, 19, 23, 27, 31, 36 CAS, 37b, 39(use a complement identity - also known as a cofunction identity), 44, 45
CAS (Maple) command: f:= mathexpression; g:=int (f,x=lowerlimit . . upperlimit);
7.1 1ac, 3b, 5bd, 7b, 9a, 11b, 15, 19, 23, 27, 29, 33, 35a, 37, 41 GrCalc, 43ac, 47, 49b, 51b, 55a
GrCalc Solving: Set f(x)=0, Graph y=f(x), then find the root/zero
7.2 1, 5, 9, 13, 17, 21, 25, 29, 31, 33, 39, 43, 47, 51a, 53, 55, 56, 57, 59, 61
7.3 5ac, 7, 9, 11, 15, 21, 23, 27, 31, 33, 37b, 41, 47a, 49, 51, 57, 61, 65, 72
7.4 3, 5, 9, 13, 17, 19, 21, 29, 31, 38, 39, 45, 49, 53, 55, 57, 61
7.5 1a, 5, 7, 9, 13, 17, 19 , 25, 29, 33, 35 CAS (for #29,33), 37, 43, 47ac, 49, 53
7.6 1ac, 3bd, 5, 7cg, 9a, 11b, 13, 15b, 17b, 19 CAS, 21b, 25b, 29, 33, 37, 39, 40 CAS, 41
Maple command: limit (erf(x), x = infinity);
7.7 Quick Check 1abce, 2ab;
Exercises 1, 3ab, 5, 7ac, 11a, 17, 19, 21, 25, 31, 33, 45, 47, 49,
51, 59, 61abc, 63ab, 67, 71, 73,
76, 85a, 88 (start by setting α=tan−1x, β=tan−1y)
7.8 1ace, 3ac, 5ac, 7 (for cosh−1x) 9, 13, 17, 19, 21, 25, 29 CAS, 33, 37, 41, 45, 49, 53, 57, 59a, 60a, 64b, 70, 71
8.1 1, 3, 5, 7, 11, 13, 17, 21, 25 (both by hand and with CAS), 29
CAS: to enter e2x type exp(2*x)
8.2 1, 5, 7, 13, 15, 17, 19, 21, 25, 27, 31, 35, 41a, 49a, 51, 53, 56a (by hand and with CAS), 58c, 59a, 63, 65
8.3 1, 3, 7, 9, 11, 17, 19, 25, 27, 29, 33, 37, 45 (by hand and with CAS), 49, 55, 57, 64b
8.4 1, 5, 7, 13, 19, 23, 25, 29, 37 (by hand and with CAS), 43, 47a
8.5 1, 3, 5, 9, 13, 17, 21, 25, 29, 33
8.6 5, 7, 13, 15, 19, 23, 25, 29, 33, 41, 47, 51, 57, 61, 65, 67, 79, 81, 83
Instead of doing them all with a CAS, as the book says, do just two with CAS (your choice).
8.7 5, 11, 17, 19, 22, 27c, 31,37, 41, 46
Do at least one of each kind (Midpoint, Trapezoidal, Simpson's) by hand, & at least one by Excel
8.8 1ace, 3, 7, 11, 15, 19, 23, 27, 31, 33, 35, 39, 41, 45, 49, 56ac, 57ac, 63, 65
9.1 1, 3, 5, 7a, 9, 11, 15, 17, 21, 25, 29, 33, 41, 49, 53,
9.3 1, 5, 7, 9, 13, 17, 19, 21a, 29, 39
10.1 1ac, 3, 5, 9, 13, 17, 21,
23, 25, 33, 38, 41, 48
For
#48 use L = 1 + 1/L, where L = limit of ratio of a later term to an earlier
term.
10.2 1, 5, 9, 13, 17, 21, 25, 30
10.3 1ac, 3, 7, 9, 11, 19, 22, 23, 26, 27, 28
10.4 1, 3, 5, 7, 9, 13, 17, 21, 25, 31b CAS, 32, 33abc
Maple: Sum (expression in k, k = 1..infinity); (unevaluated form)
or sum (expression in k, k = 1..infinity); (evaluated form)
10.5 1a, 3a, 5, 7, 11, 13, 15, 17, 19, 29, 33, 37, 41, 45, 47 CAS, 51a
CAS: If Maple does not give you a result with the
sum command, try getting a decimal approximation with the evalf
command (in this case: sum(ln(k)/3^k,k=1..infinity);evalf(%);
10.6 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 48
10.7 1ac, 3, 5, 7, 9, 11, 13, 21, 23, 25b, 29, 32 (use your result from #7)
10.8 1, 3, 5, 9, 11, 15, 19, 21, 25, 29, 33, 37, 39, 47, 49, 59
To use CAS for 8 terms
of
TI-89:
Maple:
10.9 1 & 3 by method 2; 5 (with a complement identity, you can use the Maclaurin series instead); 11, 13, 18, 20
10.10 1, 5, 9a, 13a, 17, 21, 23, 27a, 31, 34, 37, 44a
11.1 1ace, 3ace, 5ace, 7bc, 9bc, 11ac, 13, 17bc, 19abc, 21, 25, 29, 35, 39, 45, 49, 55, 57
11.2 1, 5, 9, 11, 13, 17, 23, 27, 29, 33, 37, 41, 43, 48, 49 (see formulas before #49)
11.3 Quick Check 3; Exercises 3, 7, 9, 11, 15, 19, 23, 27
11.4 1, 5, 9, 13b, 17a, 19a, 23, 27, 33, 35b, 43, 49, 53, 54a, 77
11.5 1, 3, 5, 11, 13, 16, 21, 25, 29
11.6 1ac, 3ac, 5ac, 7b, 9a, 11b, 13ab, 15, 23, 25
Return to: Merced College; Don Power Updated 11/02/07 by Don Power