MA 125: Calculus I-H

Prof. Susan Williams, Fall 2013

My office is ILB 312, phone 460-7332.

First-day handout (pdf file)

Resources

Stewart's 2D grapher. This will graph curves like x^4 +x^2 y+y^4=11.

The free Math-Stat Tutoring Lab is in ILB 235. Check the schedule on the door, or on the bulletin board outside ILB 325 (starting the second week of classes).

Help with Courses: The Math-Stat Department's site with links to Tutoring Lab schedules, a list of private tutors, calculus videos and more.

Calculus Applets by Thomas S. Downey. These illustrate a variety of topics, for example limits and continuity, with interactive graphics. Recommended!

History of Mathematics Archive of the University of St. Andrews. Read about the Marquis de L'Hospital, author of the first comprehensive calculus text, and his curious contract to purchase Johann Bernoulli's discoveries for his own use and publication.

Do dogs know calculus? Or is this just a shaggy-dog story?

Assignments

Carefully read each section we cover.

M 8/19: Review section 1.1 and work exercises 3, 7, 17, 18, 19, 65, 66. Read about average and instantaneous rates of change in 2.1. Start reading 2.2.

W 8/21: Review 1.2, work exercises 1, 5, 11, 17, 212, 23, 25. Finish reading 2.2 and work 1-37 odd, 51, 53.

F 8/23: In 2.2, work 33-39 odd, 45, 47, 63, 665, 73, 76, 80, 81, 83. Start reviewing 1.3 if your trigonometry is weak!

M 8/26: Review 1.3, work exercises 1, 5, 9, 11, 15, 21, 27. Read 2.3 and work exercises 5-13 odd, 17, 23, 24, 31, 33, 38, 49.

W 8/28: In 2.3, work 37, 41, 43, 53, 55, 59.

F 8/30: Read 2.4, work exercises 1-29 odd, 43, 45, 47.

W 9/3: Read 2.5, work 1-15 odd.

F 9/6: In 2.5, work 17-31 odd, 37-43 odd, 53, 55, 61, 65, 67 Hint: Apply IVT to g(x)=f(x)-x.

M 9/9: Read 2.6, work 1-23 odd, 27, 31, 35.

W 9/11: In 2.6, work 37-53 odd, 61-69 odd, 73, 81, 103.

F 9/13: Read 3.1 and work exercises 1-9 odd, 21, 23, 27, 29, 33. Start reading 3.2 and work 1-5 odd, 27-30. Extra credit problem due Monday: Prove from the definition of the derivative that the derivative of an odd function is even, and vice versa.

M 9/16: In 3.2, work 7, 11, 19, 25, 26, 31, 35, 39, 45, 47.

W 9/18: Read 3.3, work 1-51 odd, 53, 58, 61.

F 9/20: Work 67, 71, 7, 75a, 76. 77 in 3.3 and 1, 5, 11, 13, 15, 17, 21, 25 in 3.4.

M 9/23: Read 3.5 and work 1-49 odd, 34, 55, 60, 61.

M 9/30: Read 3.6 and work 1-21 odd, 25-85 every 4th problem, and 87, 97, 99, 101, 103.

W 10/2: Read 3.7, work 1, 5, 7, 11, 15, 17, 27, 31, 37, 41, 43, 46, 48, 51a. Check out the 2D grapher link in "Resources" above!

F 10/4: Read 3.8, work every 4th problem from 1 to 93. No class Monday!

W 10/9: Read 3.9, work 1-51 odd, 59.

F 10/11: Read 3.10, work 1, 7, 9, 13, 15, 17, 21, 23, 25, 27, 33.

M 10/14: Read 3.11. Work 29, 31, 32, 34, 35, 37, 43d in 3.10 and 1-25 odd in 3.11.

W 10/16: In 3.11, work 31-39 odd, 43, 47-57 odd, 61.

F 10/16: Read 4.1, work 1-9 odd, 17, 23-31 odd, 39, 45-55 odd.

M 10/21: In 4.1, work 31-37 odd, 57, 59, 61, 63, 73, 77, 79, 81, 85. Read 4.2 and work 1-17 odd, 20.

W 10/23: In 4.2, work 21, 25, 29-37 odd, 41, 45, 47, 51, 75, 76a, 77.

F 10:25: Read 4.3, work 1-43 odd, 59, 61, 67, 76.

M 10/28: Read 4.4, work 1-17 odd, 23-33 odd, 45.

W 10/30: In 4.4, work 37, 41, 51, 89, 93, 101, 103, 107, 118.

F 11/1: Read 4.5 and work 1, 5, 11, 13, 19, 21, 25, 27, 31, 41, 51, 53, 59, 63, 65, 67, 69, 75, 77.

M 11/4: Read 4.6, work 1-13 odd, 25, 39, 41.

W 11/6: Read 4.8, work every 4th problem from 1-85. Challenge: can you find an antiderivative for sin(x^2)?

F 11/8: In 4.8, work every 4th problem 91-115, and 128. Also: find as many solutions as you can to y"=-y.

M 11/11: Read 5.1, work 1-13 odd, 19.

M 11/18: Read 5.2, work 1-31 odd, 39, 41, 45.

W 11/20: Read 5.3. Work 5.2 problems 35, 37, 38 and 5.3, 1-49 odd.

F 11/22: In 5.3, work problems 55, 59, 61, 71, 73, 79. Read 5.4, work every 4th problem in 1-35, 61, 62, 65-70, 77, 81.

M 11/25: In 5.4, work

Office hours Tuesday 11/26 are by appointment, since I have a conflict with the usual time.

Quiz Monday, Dec 2 on 5.1-5.4. Know the Fundamental Theorem of Calculus (there's a reason they call it that.) Exam 2 is Friday, November 15. It will cover 3.6-3.11, 4.1-4.6 and 4.8.

Common Homework

A department committee has chosen a small set of homework problems considered representative of the skills you need to learn, to be assigned by all instructors. These problems are included in my assignments above, but if you want to know which ones they are you can download the pdf file here.