MTH 227 COURSE OUTLINE Spring 99
INSTRUCTOR: K.W.NICHOLSON OFFICE HOURS: POSTED ON DOOR OF RM 224.
TEXT: Riddle's Calculus, Alternate Edition
TOPICS COVERED: Parametric and Polar functions, vectors, lines and planes in space, infinite series, differentiation and integration of multivariable functions, line and surface integrals.
PURPOSE OF THIS COURSE:
This course continues the study of calculus, emphasizing more complex integration techniques, analytical geometry in two and three dimensions, more physical applications of calculus, a study of infinite series of real numbers as well as of functions, applications of Green's theorem, and applications of Stoke's Theorem; Divergence an Curl.
The primary task of Calculus III is to apply all the calculus you've learned to the real world, that is, the three dimensional world.
EVALUATION:
|
Item |
Date |
Discussion |
|
3-100 point tests |
Feb 3, Mar 1, April 7 |
No make up tests will be given. A missed test will be replaced by 1/2 of your final exam score. |
|
1-200 pt Final Exam |
May 4, 1999 |
Final will be comprehensive. |
|
Miscellaneous hand-in problems and quizes |
Due on date specified |
Priced as marked. |
|
Ocassional Group Activities 10 pts each |
Will be announced at a day in advance |
Group activities will be conducted in the physics lab. |
- Letters to politicians, or editors expressing your opinion about issues regarding the physical universe in which we live. 1 point each, 10 points maximum. You may send copies of the same letter to a maximum of 5 different people. You must turn in letters in stamped, addressed envelopes, along with a copy for the instructor, on the same day project reports are due.
- Assisting math or physics students 5pts. per hour, 30 pts. max. (Must be done in the Library or Physics Lab verified in writing by either an instructor or librarian.)
- Occasional hand in bonus problems ( bonus questions on tests do
not count toward this max)5 pts. each, 20 pt. max.
- Book report, 10 pts. (Book must be approved by instructor prior to
reading, and reports are due on April 28, 1999)
GRADES:
The accumulative total for the course will be 500 plus a few points, depending on miscellaneous assignments, and your accumulative total will be divided by that amount to calculate your final average.
90 - 100 = A, 80 - 89 = B, 70 - 79 = C, 60 - 69 = D, 0 - 59 = F
NOTES:
l. Final percentage will be rounded UP, i.e., a final percent of
79.00000001 will be rounded up to 80.
2. You should keep all returned papers. You should also keep track of
the ratio (your accumulative total)/(The accumulative total possible
to date) as the quarter progresses. If this ratio is below 70 at
midterm (March 1, 1999), you should come for a conference with the
instructor to discuss what each of us can do to retrieve you from
doom.
3. WRITTEN REPORTS WILL BE GRADED EITHER ACCEPTABLE OR REDO FROM
START.
4. If you have more than two excused absences you will be dropped
from the course, as required by the college admission policies.
5. Words of wisdom regarding Math homework.
I hear........ and I forget,
I see..........and I remember,
I do...........and I understand.
THE BIG PICTURE
Class time: 8:00 - 9:40 Monday and Wednesday .
There are essentially two aspects of Calculus: Techniques and Concepts. You need to learn both. We will try to divide the week into two parts, working on Techniques on Tuesdays and Concepts on Thrusdays. Occassionally, however, Techniques will run over two days and so will Concepts.
|
Date |
Topic |
Assignment Due date or Discussion date |
|
Jan 11 |
Techniques 19 & 20: Parametric Equations and derivatives thereof. |
Pg 601: at least 1-9, 13,15,31,33, |
|
13 |
Techniques 21 & 22: Archlengths and Surface Area |
Pg 616: 1,3,5 |
|
18 |
Technique 23: Centroids of Arcs and Surfaces |
Pg 629: 3,7,17 |
|
20 |
Concept 18: Polar Coordinates |
Pg 642: 1-15, 23,25 |
|
25 |
Technique 24: Differeniation of polar functions |
Pg 658: 1-19 odd |
|
27 |
Concept 19: Vector notation |
Page 773: do 1-32 even, Assign 1 - 32 odd |
|
Feb 1 |
Concept 20: Vector operations |
Page 781: do 1-40 even, Assign 1 - 40 odd |
|
3 |
Test 1 |
|
|
8 |
Concept 21: Lines in Space |
Page 834: 1 - 33 odd |
|
10 |
Concept 22: Fun Facts about Cross Products & Fun Thangs u can do with the Fun Facts. |
Page 844: 1-32 odd |
|
15 |
Concept 23: Planes in Space |
pg 853 1,5 - 29 odd, 35 - 47 odd |
|
17 |
Concept 24: Sequences |
Page 695 1-27 odd |
|
22 |
Concept 25: Series |
Page 706 1-24 odd |
|
24 |
Comparison Test |
Page 706 25,27,29,33 |
|
Mar 1 |
Test 2 |
|
|
3 |
Limit Comparison Test |
Page 717 13-29, try 25 & 27 |
|
8 |
Ratio Test |
Page 724 1,5,7,17,19,23,25,27,29 |
|
10 |
Alternating Series |
Page 733 1-15, 19,21,23 |
|
15 |
Concept 26: Series of Functions |
Pg 740 1-11, 15,17,19,23,25,27 |
|
17 |
Technique 25: Taylor's Series Expansion |
Pg 748 1,3,4,7,11,13,15,19,21,25,27,32 |
|
22 |
Remainder Theorem |
Pg 756 1,3,5,9,11,13 |
|
24 |
no school |
|
|
29 |
no school |
|
|
31 |
no school |
|
|
5 |
Technique 26: Differentiation & Integration of series |
Test Review Sheet is due |
|
7 |
Test 3 |
|
|
12 |
Concept 27: Cylinders & Spheres |
Pg 861 1-10 |
|
14 |
Concept 28: Multivariable Functions |
Pg 894 1,3,7,9,15,19,23,25 |
|
19 |
Concept 29: Partial Derivatives |
Pg 900 1-38, 39, 41. 5 pts bonus for 38&40 |
|
21 |
Technique 27: The Chain Rule |
Pg 910 1-41 odd |
|
26 |
Tangent lines and Normal Planes |
Pg 919 1-25 odd |
|
28 |
Concept 30: Directional Derivatives |
Pg 929 1-34 odd |
|
May3 |
last day of class |
|
|
4 |
Final Exam |
|
|
5 |
Total Differential |
Pg 935 1-15 |
|
6 |
Maxima & Minima |
Pg 942 1-17 |
|
7 |
Double Integrals |
Pg 965 1-21 |
|
Volumes, Areas & Mass |
Pg 972 1-20 |
|
|
Centers of Mass and Moments of Inertia I |
Pg 986 1-10 |
|
|
Triple Integrals |
Pg 995 1-10 |
|
|
Centers of Mass & Moments of Inertia II |
Pg 1000 1-10 |
*****************************************************************
Group Roles, A Description
Manager:
Keeps group on task
Organizes tasks into subtasks
Manages sequence of steps --to accomplish this, use phrases like:
We also need to consider ....
We need to move onto the next step...
Let's come back to that if we have time.
Skeptic:
Devil's advocate
Helps avoid quick agreement, (which can be disastrous)
asks questions that will lead to understanding
pushes members to explore all possibilities
-- to accomplish this, use phrases like:
...What else could we say about this?
Are there other possibilities here?
Before we agree, maybe we should consider...
Checker/Recorder:
Checks for consensus among group members
Obtains members consent upon completion of each step
Writes group solution
Turns in completed problem -- to accomplish this, use phrases
like:
Can you explain how we got this?
Let's summarize what we have decided...
*********************************************************
Introduction to Mac Computers
Turning on and off
Open & Close folders
Create your own folder
Start & quit programs
Close file ‚ quit program Show Finder & About this Macintosh
under the Apple
Demo Wordperfect
Open Phy files, open Lab 1 write-up, save it in your own folder
Discuss the difference between an experiment and the write up. Don't
turn in the experiment with a lab write-up.
Demo Excel?? Sure
Web orientation.
Show'm their own web pages and how to change them.
Show'em where games are
Game Rules: No games during class
No games during break (what break?)
Always quit a game when you leave the computer.
Tell'em to stay out of the HD