Math 27: Calculus I
Fall 2007

Instructor: Ben Davis
Email: bdavis@stmarys-ca.edu
Web: http://galileo.stmarys-ca.edu/bdavis/
Office: Galileo 101 A
Office Phone: 631-8048
Office Hours: Tuesday, 2-4 pm or by appointment.
Text: Calculus: Single and Multivariable (4th Edition)
Hughes-Hallett, Gleason, McCallum, et al.
Wiley, c2005
Homework: There will be a weekly homework assignment due at the beginning of class on Wednesdays. I expect you to write a complete solution to every assigned problem. If you get stuck on a problem, or if you are not confident in your solution, please confer with fellow students, a tutor, or come ask me in office hours. Late homework will be accepted with a 30% penalty compounded weekly. For example, an assignment that is late less than 1 week will yield 70% of its on-time value, between 1 and 2 weeks late yields 49% of on-time value, between 2 and 3 weeks late yields 34% of on-time value, and so forth. Missing homework will receive a score of zero.
Exams: There will be three midterms and a final. Each exam will cover the material subsequent to the previous exam. The final exam will be cumulative. Missing an exam will result in an exam score of zero being assigned.
Grades: Your grade is based on coursework and examinations. The precise breakdown of weights is as follows: 15% homework average, 5% workshop average, 20% midterm 1, 20% midterm 2, 20% midterm 3, 20% final exam. When the final exam score exceeds the lesser of the three midterm scores, the final exam score will replace the lesser of the three midterm scores. The following distribution will be used to assign course grades: 100-93% = A, 92-90% = A-, 89-86% = B+, 85-83% = B, 82-80% = B-, 79-76% = C+, 75-73% = C, 72-70% = C-, 69-66% = D+, 65-63% = D, 62-60% = D-, Below 60% = F.
Calculators: Calculators may be used on homework. No calculators are permitted on the exams.
Tutoring: The Student Math Center is open Sunday-Thursday, 7-9 pm. Additional tutoring may be requested from the Academic Support Center in Sichel 105.
Solutions: Student solutions manuals containing worked solutions to odd-numbered exercises are on reserve at the library front desk.
Academic Honesty: The honor code and the Saint Mary's policies regarding academic honesty detailed on pages 22-32 of the student handbook apply to this course. I encourage you to work with other students on coursework and to consult solutions manuals as needed, but your write-ups should be in your own voice, and consist largely of your own work. Where your argument depends heavily on another's work, say so.
Course Calendar: The course calendar details the schedule of coursework, exams and breaks.

Homework and Announcements

Assignment 14 due Wed Dec 5
6.2 #1-6, 11-14, 22-25, 33-38, 60-63, 72
6.4 #15-17
6.4 #33, 34 Hint: See the comments on page 301 under ``Using the Construction Theorem for Antiderivatives," especially Example 2.

Workshop 4 due Fri Nov 30

Assignment 13 due Wed Nov 28

Extra Credit Final Review due Wed Dec 5.

Check your Review 3 answers against the Review 3 Solution.
Assignment 12 due Wed Nov 21
5.1 #9, 14, 19, 20, 21

Extra Credit Review 3 due Wed Nov 14.

Workshop 3 due Wed Nov 14
Assignment 11 due Wed Nov 14
4.4 #1-4, 7, 10, 13
4.5 #4, 5, 8, 11, 16, 19, 22, 23, 32
4.6 #1-4, 13, 16, 17, 22, 24, 27, 32
5.1 #1, 2, 6, 8, 25

Assignment 10 due Wed Nov 7

Assignment 9 due Wed Oct 31
3.5 #2-5, 15-17, 24-6, 40, 41
3.6 #1, 2, 6-8, 19, 20, 54, 55(a, c, d, e), 57, 59
3.7 #3, 7, 11, 13, 20, 21, 23, 24, 28, 34

Assignment 8 due Wed Oct 24
3.4 #1-3, 7-9 17-19, 31-33, 53-55, 78, 79

Check your Review 2 answers against the Review 2 Solution.
Assignment 7 due Wed Oct 17

Extra Credit Review 2 due Wed Oct 17.

Assignment 6 due Wed Oct 10

Handouts on mathematical induction and Socrates and the logicians of Induction Island.

Assignment 5 due Wed Oct 3
2.2 #1, 3, 7-9, 12, 13, 27, 29, 31, 33, 35, 37, 39
2.3 #1-9, 19, 20, 33, 36, 40, 42
2.4 #1, 3, 5, 7, 9, 17, 21
2.6 #1, 7, 17

Assignment 4 due Wed Sep 26
2.1 #1-4, 11-13, 15

Extra Credit Review 1 due Wed Sep 19.

Workshop 2 due Wed Sep 19
Assignment 3 due Wed Sep 19
1.7 #1, 3, 5, 7, 9, 11, 13
1.8 #1, 2, 12(a)-(c), 14(a)-(c)
1.8 #31 Hint: Multiply the numerator and denominator by 1/x2.
1.8 #37, 48, 52-54

Assignment 2 due Wed Sep 12
1.5 #1-4, 10, 11
1.5 Using the numerical values sin(Pi/12)=0.259 and cos(Pi/5)=0.809, compute sin(17Pi/60) and cos(7Pi/60) without using the trig functions on your calculator. Hint: Pi/5+Pi/12=17Pi/60, Pi/5-Pi/12=7Pi/60.
1.5 #19, 28-30, 34, 37, 45
1.7 #16-18, 21

Guide to commonly used angles in trigonometry.

Workshop 1 due Wed Sep 12
Assignment 1 due Wed Sep 5
1.2 #1-4, 12-14, 30-32
1.3 #21-24, 27
1.4 #1-4, 7-12, 18, 19, 24, 25, 28, 29, 41, 46