E-mail: jalbert@ou.edu
This web page contains or will contain
a list of class assignments made in class, the dates
of upcoming quizzes and exams (subject to change), a couple of program files you can use on your calculator,
and a few links to topics of interest related to this
course.
Latest addition: answers to some of the problems on assignment 11 can be found here.
Your computer must be able to read .pdf files (Adobe Acrobat) in order to see them. If you cannot read
the solutions here, you can find them on Electronic Reserve at Bizzell (see following paragraph).
Solutions to quizzes and exams will be put on reserve at Bizzell Library, both
on paper at the reserve desk, and online in the Electronic Reserves.
To access Electronic Reserves, first go to the OU Libraries' Web page at
http://libraries.ou.edu, look for the menu on the left labeled "Services",
and click on "Reserves". On the page where this takes you click
on the link to "Electronic Reserves" (just below "Electronic Reserves Hours"). You should now see
a box asking you for your OUNetID and password.
When you supply these and click "submit", you'll be taken to a box titled "Search the Reserves", where you
choose the current semester (Spring 2002) and the department of this course (MATH).
You will then see a box titled "Math Courses for Spring 2002". Choose "Math 2423" from the list within
this box.
Homework
Assignment 1 (Due Thu. Jan. 24)
- p. 322 (sec. 5.1): #4, 12, 20
- p. 334 (sec. 5.2): #11, 25, 29, 46
- p. 344 (sec. 5.3): #5, 10, 12
Assignment 2 (Due Thu. Jan. 31)
- p. 353 (sec. 5.4): #1, 22, 25, 54
- p. 362 (sec. 5.5): #18, 19, 20, 21, 23, 28
Assignment 3 (Due Thu. Feb. 7)
- p. 362 (sec. 5.5): #31, 38, 43, 50, 51
- p. 376 (sec. 6.1): #3, 8, 12, 40, 43
Assignment 4 (Due Thu. Feb. 14)
- p. 387 (sec. 6.2): #9, 47, 50, 54, 62, 63
- p. 392 (sec. 6.3): #6, 8, 12, 42
Assignment 5 (Due Thu. Feb. 28)
- p. 397 (sec. 6.4): #7, 12, 20
- p. 400 (sec. 6.5): #5, 7
- p. 404 (Problems Plus): #6
Assignment 6 (Due Thu. Mar. 7)
- p. 425 (sec. 7.2): #36, 38, 41, 46, 64, 73, 75,
76, 81, 82
Assignment 7 (Due Thu. Mar. 14)
- p. 434 (sec. 7.3): #32, 69, 72, 73
- p. 443 (sec. 7.4): #22, 57, 70, 75, 82, 84
Assignment 8 (Due Thu. Apr. 4)
- p. 443 (sec. 7.4): #24, 45, 52
- p. 476 (sec. 7.5): #20, 30, 31, 48, 65, 67, 68
Assignment 9 (Due Thu. Apr. 11)
- p. 493 (sec. 7.7): #18, 22, 24, 39, 61
- p. 508 (sec. 8.1): #3, 7, 18, 24, 25
Assignment 10 (Due Thu. Apr. 18)
- p. 516 (sec. 8.2): #1, 14, 24, 28
- p. 522 (sec. 8.3): #4, 5, 19, 22, 23, 35
Assignment 11 (Due Thu. May 2)
- p. 532 (sec. 8.4): #15, 23, 32, 63
- p. 555 (sec. 8.7): #11, 32
- p. 565 (sec. 8.8): #13, 20, 27, 63
Quizzes
Quiz 1: Tuesday, Feb. 5 (on Assts. 1 and 2)
Quiz 2: Thursday, Feb. 14 (on Assts. 3 and 4)
Quiz 3: Thursday, Mar. 7 (on Asst. 5)
Quiz 4: Tuesday, Mar. 26 (on Assts. 6 and 7)
Quiz 5: Tuesday, Apr. 9 (on Asst. 8)
Quiz 6: Thursday, Apr. 18 (on Assts. 9 and 10)
Quiz 7: Take-home, due at final (on Asst. 11)
Exams
Exam 1: Thursday, Feb. 21 (on Assts. 1 through 4)
Exam 2: Thursday, Mar. 28 (on Assts. 5 through 7)
Exam 3: Thursday, Apr. 25 (on Assts. 8 through 10)
Final Exam: Thursday, May 9 (1:30 pm to 3:30 pm)
The final exam will be comprehensive.
Links
Calculus Resources Online
History of Mathematics
- For many hundreds of years, it was known that Archimedes, the greatest
ancient Greek mathematician and one of the three greatest mathematicians
of all time (the other two being Newton and Gauss), had somehow found the
correct formulas for the area under a parabola and the volume and surface area of a sphere.
But no one knew how he had done this, since his writings on his method of
discovery had been lost in antiquity. Amazingly, these writings
resurfaced in a middle Eastern monastery in the early years of the 20th century.
They were contained on parchment which
had been erased and overwritten with prayers by Byzantine monks in the twelfth
century. The parchment was lost again during World War I, but resurfaced later
and was recently sold to a private collector for two million dollars. Currently
it is on display at a museum in the United States.
Here is the web site
of the museum, which gives more details of the story. It turns out that to make
his discoveries, Archimedes had invented a method which had many features in common
with calculus; thus putting him about two thousand years ahead of his time.
For a nicely done web site on Archimedes and his work, click here.
- Isaac Newton and Gottfried Wilhelm von Leibniz, who worked in the latter half of
the seventeenth century, are credited with being the discoverers of calculus, but it
is not so easy to say exactly what they discovered that hadn't been known already. For
example, a proof of the formula we know today as "the integral of x^m is (x^(m+1))/(m+1)" was
published in 1635 by Bonaventura Cavalieri, who used the formula to compute the area under
the graph of y=x^m. This is the same Cavalieri whom we mentioned in class as being the first
to state the principle that solids with equal cross-sectional areas will have equal volumes,
despite possibly having different shapes. See a short biography of Cavalieri at
his
page on the History of Math website at Trinity College.
- One of our homework problems was on finding the area of the loop in "Tschirnhausen's cubic".
You can find more information about this curve, as well as many other curves with even stranger
names, such as the "pearls of de Sluze" or the "nephroid of Freeth", at the
Famous Curves Index
at the University of St. Andrews website.