# Math 112 (Sec. 01 and 02), Spring 2006

## Basic Info

Instructor: Dr. Mark Tomforde
Office: 133 Jones Hall
Phone: 221-2013
Office Hours: MWF 10AM -- 11AM
Th 1:00PM -- 3:00PM
(or by appointment)
Lecture: MWF 9:00 -- 9:50AM in Jones 307
Lab: (Sec. 01) Th 11:30AM -- 12:20PM in Morton 244
(Sec. 02) Th 12:30PM -- 1:20PM in Morton 244
Announcements: Practice Final 1 and solutions
Practice Final 2 and solutions

## 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.