Mathematical Analysis II, 2000

Mathematical Analysis II
Section A
Fall '07 - The Humke Version

The Basics
- We meet 8:00-8:55 MWF in SC186
- Text(s):
  - Required text: Calculus from Graphical, Numerical, and Symbolic Points of View, Vol.~II (OZ) (The Surfs Up Edition) by Ostebee and Zorn
  - Supplemental (and Optional): Calculus for the Forgetful by Wojciech Kosek. This is not in the bookstore, but is available on the web.
- Calculator: You should have either a TI89 or TI92 for this course. Calculator use is allowed (and encouraged) on assignments and exams.
- TGWSUF: Paul Humke Office: OMH 303 ext. 3410
- Hotline: 645-6440
Office Hours: MWF 2:00-3:00, TTh 4:00-5:00
Homework - 100 pts.- Daily assignments due in 2 class periods. Working together to solve the problems is absolutely fine and is encouraged!!, but you must write up your own solutions.
Midterms/Quizes - Hundreds of pts.- There will be 2 midterm exams each worth 100pts and several announced quizes.
Final - 200 pts.- The Final, celebrated on

Thursday, December 13 from 9:00-11:00
will be comprehensive; don't forget to study!!
Some TI programs for class

Chapters and Sections Covered

Chapter Sections Approximate Days

5 1--6(some review here) 6

6 1--2 2

7 1--4 4-5

Exam I 1

8 1--3 3

9 1--3 5

10 1--3 4

11 1--4 4

Exam II 1

11 5--7 4

*Some Other Great Stuff* 4

Total Days 38

Chapter	Sections	Approximate Days
5	1--6(some review here)	6
6	1--2	2
7	1--4	4-5
	Exam I	1
8	1--3	3
9	1--3	5
10	1--3	4
11	1--4	4
	Exam II	1
11	5--7	4
Some Other Great Stuff		4
Total Days		38

Work to be Handed In

Chapter.Section OZ Page Exercises Assigned Due Date

5.1 311 1,3,4,5,7,8,9,37

5.2 319 2,3,4,6,21,22,24,25

5.3 330 9-18,19,22,24,35,37,38,40

5.4 340 1,3,4,15, 6 of 23-74(your choice)

5.5 347 1,2,6,11,15,16,36

5.6 354 1,2,20,(25,26,27,could these be "way off"?)

6.1 381 1,2,5,20,52,61,62,63,64

6.2 391 1,6,7,9,11,14,20,28,34

7.1 420 14,15 and find volumes if revolved about y=0,1,5,-2

extra 1 geometric center of MN

extra 2 Measure of the ball of radius 1 in n-dimensional space

7.1 420 6,7,10 perimeter of y=x² and y=x³

More!! area, center and perimeter of regions bounded by

R₁ bounded by x³ and x⁵

R₂ bounded by x and 4x(1-x)

R₃ bounded by x² and sin(x)

7.2 428 11,14,19,20,33,43,45

7.3 437 1,2,4,10,11,15

7.4 446 1-4,9,10,17,20,24

8.1 464 4,5,9,10,14,37,44,52

8.2 473 1,5,6,7,16,20

8.3 481 2,5,7,11,13,14,17,26,28,29

9.1 501 1-4,7 of 13-24

9.2 508 1,3,4,7,8,11,13,14

9.3 515 1,2,3,5,15,16,18

10.1 529 1,3,7,8,9,14,22,28,29,39

11.1 553 1-4,7,19,23,27,28,34,38

11.2 564 1,2,3,4,6,8

11.3 573 1,2,8,10,11,12,13,36,39,43,50

11.3 573 9,10,12,29,30,33,41,44

*** *** ******

11.4 582 1,4,5,8,14,15,,17,18,20,23

11.5 589 1,2,4,9,12,15,21,22,23,26

11.6 595 1,2,4,7,11,18,24,25,29,39,40

11.7 601 1,3,5,6,7,8,9

Chapter.Section	OZ Page	Exercises
5.1	311	1,3,4,5,7,8,9,37
5.2	319	2,3,4,6,21,22,24,25
5.3	330	9-18,19,22,24,35,37,38,40
5.4	340	1,3,4,15, 6 of 23-74(your choice)
5.5	347	1,2,6,11,15,16,36
5.6	354	1,2,20,(25,26,27,could these be "way off"?)
6.1	381	1,2,5,20,52,61,62,63,64
6.2	391	1,6,7,9,11,14,20,28,34
7.1	420	14,15 and find volumes if revolved about y=0,1,5,-2
extra 1		geometric center of MN
extra 2		Measure of the ball of radius 1 in n-dimensional space
7.1	420	6,7,10 perimeter of y=x² and y=x³
More!!		area, center and perimeter of regions bounded by
		R₁ bounded by x³ and x⁵
		R₂ bounded by x and 4x(1-x)
		R₃ bounded by x² and sin(x)
7.2	428	11,14,19,20,33,43,45
7.3	437	1,2,4,10,11,15
7.4	446	1-4,9,10,17,20,24
8.1	464	4,5,9,10,14,37,44,52
8.2	473	1,5,6,7,16,20
8.3	481	2,5,7,11,13,14,17,26,28,29
9.1	501	1-4,7 of 13-24
9.2	508	1,3,4,7,8,11,13,14
9.3	515	1,2,3,5,15,16,18
10.1	529	1,3,7,8,9,14,22,28,29,39
11.1	553	1-4,7,19,23,27,28,34,38
11.2	564	1,2,3,4,6,8
11.3	573	1,2,8,10,11,12,13,36,39,43,50
11.3	573	9,10,12,29,30,33,41,44
***	***	******
11.4	582	1,4,5,8,14,15,,17,18,20,23
11.5	589	1,2,4,9,12,15,21,22,23,26
11.6	595	1,2,4,7,11,18,24,25,29,39,40
11.7	601	1,3,5,6,7,8,9

Problems Submitted by Friends, Aquaintences, or Complete Strangers

Consider the curve defined by x^2 + xy + y^2 + 27
(A) Write an expression for the slope of the curve at any point (x,y)
(B) Determine whether the lines tangent to the curve at the x-intercepts of the curve are parallel. Show the analysis that leads to your conclusion.
(C) Find the points on the curve where the lines tangent to the curve are vertical.
Questions, Comments, Answers??

Disclaimer

Questions? Click here: humke@stolaf.edu

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