Math 27: Calculus I Fall 2004

Instructor: Ben Davis
Email: bdavis@stmarys-ca.edu
Web: http://galileo.stmarys-ca.edu/bdavis/
Office: Galileo 103 D
Office Phone: 631-8048
Office Hours: Monday 2:30-3:30, Wednesday 1:30-2:30, or by appointment.

Text: Finney, Weir, Giordano, Thomas' Calculus, Updated Tenth Edition, Addison Wesley, c2003. A solution manual is on two hour reserve from the front library circulation desk.
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 may be accepted due to unavoidable circumstances, and only at my discretion. Missing homework will receive a score of zero.
Exams: There will be three in-class exams and a final. Each exam will cover the material of homeworks and lectures since the previous exam. Missing an exam will result in an exam score of zero being assigned.
Grades: Your grade is based on homework and exams. Homework is worth 15% and exams are worth 85%. 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 the homework. No calculators are permitted on the exams.
Tutoring: There is a calculus help session every Monday and Tuesday from 7-9pm in Dante 204. Additional tutoring may be requested from the Academic Support & Achievement Program office in Sichel 105.
Academic Honesty: The Saint Mary's policies regarding academic honesty detailed in the student handbook apply to this course. I encourage you to work with other students on the homework, but your write-up 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 will help you plan your semester and prepare for class. Before coming to lecture, many students find it helpful to read the corresponding section of the book.

Calculus is the mathematics of motion and change. Calculus lets us formulate and solve a huge range of problems that are impossible to approach using only algebra or geometry. This course will move very quickly, and the topics will pile up rapidly. I will try to deliver clear lectures and be enthusiastic and approachable. For your part, do your best to stay on top of things, and don't hesitate to come visit me in office hours. In my experience, students can learn more in office hours than in any other part of the course.

Homework and Announcements

The solutions to the practice final are available outside my office.

Worksheet 6 due at the start of the final exam on Monday, December 6

FINAL EXAM SCHEDULE
The final exam for Math 27-03 (the 10:20-11:20 class) will be in Dante 114 (the usual room) on Mon Dec 6 from 10:30 am - 12:30 pm.
The final exam for Math 27-04 (the 11:30-12:30 class) will be in Dante 114 (the usual room) on Mon Dec 6 from 8:00 am - 10:00 am.

Print out the Practice Final or pick up a copy outside my office door.

Assignment 13 due Mon Dec 6
4.4 #17-20
4.5 #1-6,25-28

Grade Policy Clarification The total exam percentage which makes up 85% of the course grade will be computed as follows. The final will have twice the weight of the other exams, unless the final score is lower than all of the exams, in which case it will be given the same weight. If the final score is not the lower than all of the exams, then the lowest exam score will be dropped.

Schedule Revision Contrary to the Course Calendar, Math 27 will meet on Wednesday Nov 24.

Assignment 12 due Wed Nov 24
4.4 #7-10 (Instead of using the Riemann sum method the textbook advises, use the numerical integration chart method we covered in class on Friday Nov 19)

Due to a class cancellation, no material from section 4.4 will be covered in Exam 3. Consequently, it is no longer useful to study practice exam 3 problem #6. Also, Exam 3 may now include a question on Newton's Method (section 3.7), Induction (the handout), or Numerical Integration (section 4.3).

The solutions to Practice Exam 3 are available in the box outside my office door.

Revised Assignment 11 due Wed Nov 17
Induction Handout (available in box outside my office) #1-7
4.3 #3,6
4.4 PROBLEMS MOVED TO NEXT ASSIGNMENT

Assignment 10 due Wed Nov 10
3.7 #2,5
4.1 #9-15,31,49
4.2 #1-14
5 POINT BONUS QUESTION The equation x^2-5x+6=0

has two solutions, x=2

and

.
(a) For which root estimates x_1

will Newton's method approximate the root x=2

? For which root estimates x_1

will Newton's method approximate the root x=3

?
(b) Explain your answer in part (a) in terms of the graph y=x^2-5x+6

Assignment 9 due Wed Nov 3
3.3 #8,17-20 including a sketch of the graph y=f(x)
3.5 #2,12,13,14,20(a),32,33,52(a)
3.6 #6,9,10,17,27,29,33,36

Worksheet 5 due at the start of class on Wednesday, Nov 3

Print out a copy of the Differential Equations Example for the lecture of October 22.

Assignment 8 due Wed Oct 27
3.2 #1,2,7,9,13,17,18,21,22,32,39

Print out a copy of Practice Exam 3 and refer to it periodically to see which questions you've learned how to solve.

Print out the Solutions to Practice Exam 2 and refer to them after attempting the exam on your own.

Assignment 7 due Wed Oct 20
2.7 #1-4,12-15,17,18,21,32
3.1 #15-20,41-44 (it may help to read examples 1 and 8)

Worksheet 4 due at the start of class on Monday Oct 18

Assignment 6 deadline extended to Wed Oct 20
2.5 #1,5,9,13,17,21,25,31,51,56
2.6 #1,2,11,13,15,19,39

Worksheet 3 due at the start of class on Monday Oct 11

Assignment 5 due Wed Oct 6
2.2 #5,11,13,18
2.3 #1,3,5,7,9,19,28
2.4 #1,3,5,7,9,27,39,43

Print out a copy of Practice Exam 2 and refer to it periodically to see which questions you've learned how to solve.

Worksheet 2 due at the start of class on Friday Oct 1

Assignment 4 due Wed Sept 29
1.4 #25-27
2.1 #7-10, 13, 33, 34

Print out the Solutions to Practice Exam 1 and refer to them after attempting the exam on your own.

Revised assignment 3 due Wed Sept 22
1.4 #4,5,9,10,13, don't do 25-27 ,30
2.1 #1-6,15-18

Worksheet 1 due at the start of class on Friday Sept 17

Read example 15 on page 121 before class on Monday Sept 13.

Assignment 2 due Wed Sept 15
1.3 #1-3,5,7-13,15,21-24

Assignment 1 due date changed to Fri Sept 10
1.1 #1-6,8-13,17,18,38
1.2 #2,7,9-14,17,18,33,34

Print out a copy of Practice Exam 1 and refer to it periodically to see which questions you've learned how to solve.