Math 112 (Sec. 01 and 02), Spring
2006
Exams, Quizzes, and Homework
Homework:
Sec. 11.10, #1, 3, 5, 13, 25, 31, 33, 37, 39, 43, 51, 55
Sec. 11.9, #1, 3, 5, 7, 13, 23, 27, 31, 37
Sec. 11.8, #1-27 odds
Sec. 11.7, Turn in #2, 4, 6, 8, 10, 16, 18, 20, 22, 24, 32 (State whether
each series is absolutely convergent, conditionally convergent, or
divergent. State the name of the test used.)
Sec. 11.6, #1-9 odds, 13, 17, 23, 27, 31, 33
Sec. 11.5, #1-15 odds, 21, 23, 27, 31
Sec. 11.4, #1-13 odds, 17, 19, 21, 23, 29, 31, 45
Sec. 11.3, #1, 3, 5, 7, 9, 15, 19, 21, 25
Sec. 11.2, #1, 3, 7, 9, 11, 13, 15, 17, 19, 21, 23, 27, 35, 41, 51
Sec. 11.1, #1, 3, 9, 13, 15, 17, 19, 29, 37, 41, 45, 51, 53, 55, 57, 59
Sec. 9.5, #1, 3, 7, 9, 11(a-d), 13(a,b)
Sec. 9.4, #1, 3, 5, 9, 11, 13, 17, 19
Sec. 9.3, #1, 9, 11, 15, 27, 33, 38 (answer is 1.26 years), 39
Sec. 9.2, #1, 3-6, 7, 9, 11, 13, 21, 23
Sec. 9.1, #1, 5, 7, 9, 11
Sec. 8.3, #1, 3, 5, 7, 11
Sec. 8.1, #1, 3, 5, 15, 17, 29, 31
Sec. 7.8, #1, 3, 5, 9, 15, 23, 27, 31, 49, 51, 57
Sec. 7.7, #1, 7, 15, 29, 30 (Answer is 84 sq. m), 35
Sec. 7.6, Assigned problems are included in Lab 5 homework.
Sec. 7.5, Choose any 15 odd problems.
Sec. 7.4, #1, 5, 9, 11, 15, 19, 25, 31, 37, 39, 41, 53, 63
Sec. 7.3, #1, 3, 7, 11, 13, 17, 23, 25, 27
Sec. 7.2, #1, 3, 9, 15, 17, 19, 23, 41, 43, 45, 52 (Answer is
2/3[tan(x/2)]^3+2tan(x/2)+C)
Sec. 7.1, #1, 3, 7, 13, 21, 25, 41, 51, 61
Sec. 6.5, #1, 3, 9, 11, 13, 19
Sec. 6.4, #5, 7, 9, 11, 13, 15, 17, 19, 21, 23
Sec. 6.3, #1, 3, 5, 7, 21, 23, 29, 31
Sec. 6.2, #1, 3, 5, 7, 9, 15, 19, 20 (Answer is 2pi/5), 21, 22 (Answer is
5pi/14), 47
Sec. 6.1, #1, 3, 5, 11, 21, 29, 41
Sec. 5.6, #3
Sec. 5.5, #1--37 odds, 41, 49, 51, 53, 57, 63, 75
Sec. 5.1 -- 5.4, selected problems found in Lab 0 of your lab manual.
(To be handed in at lab.)
Quiz Dates:
Quiz #1: Monday, Jan. 30
Quiz #2: Monday, Feb. 6
Quiz #3: Monday, Feb. 13
Quiz #4: Monday, Feb. 27
Quiz #5: Monday, Mar. 20
Quiz #6: Monday, Mar. 27
Quiz #7: Monday, Apr. 10
Quiz #8: Monday, Apr. 17
Quiz #9: Monday, Apr. 24
Exam Dates:
Hour Exam 1 -- Friday, Feb. 17 from 9:00-9:50AM in class
Hour Exam 2 -- Friday, Mar. 31 from 9:00-9:50AM in class
Final Exam -- Friday, May 5 from 8:30-11:30AM, in Jones 307
Miscellaneous
- The history of mathematics is an important subject. It gives a
context
in which to view the results that one learns in math classes.
Furthermore it shows that mathematics is, first and
foremost, a human activity. By looking at the historical development of
Calculus we see that it took a long time for many of its ideas to be
rigorized. Like all mathematics, the creation of Calculus was not a
careful march down a well-cleared highway, but rather a journey into a
strange wilderness, where the explorers often got lost and many wrong
turns were taken. If you find yourself struggling to understand the
concepts introduced in this course, then you are in good company. Many
of the greatest minds in mathematics struggled with these same concepts
over a period of hundreds of years.
More on the History of Calculus
- The Wikipedia entry
on Calculus.
- If you are tired of Calculus, check out this Nova site about one
of the greatest achievements of mathematics in the 20th
century:
The proof of Fermat's Last
Theorem
- And for something a little lighter, check out
Mathematrix, and in particular, Math
Comics.