Click HERE to see course syllabus in Adobe PDF format.

Final Exam - Friday May 9 : 2-4 PM

See below for worked out problems you've requested.

Office Hours (for final) are

• Me
  • Tuesday May 6 : 3-5
  • Thursday May 8: 3-5
• Eleanor
  • Wednesday May 7: 1-2
  • Thursday May 8: 11-1

Final Exam Topics

• techniques of integration
  • substitution
  • parts
  • trig. substitution
  • NO partial fractions
  • NO improper integrals
• applications of integration
  • volumes of solids of revolution (disks,washers,shells)
  • NO arc length, surface area, cross sections, centers of mass
• sequences and series
• differential equations
  • basic theory, e.g. why y=sin(x) is a solution to y''=-y
  • separation of variables with initial values

Week 1

• Wed January 16 2008
  • none
• Fri January 18 2008
  • 4.9: 1-21 odd (for practice)
  • 5.2: 17,19,30,31,35,40,43,47
  • 5.3: 9-29 odd, 51,57
  • 5.4: 3,5,7,11,13
  • 5.5: 1-31 odd, 37-51 odd

Week 2

• Mon January 21 2008
  • holiday
• Wed January 23 2008
  • 5.6: 1-27 odd,37,43
  • Turn in #1
• Fri January 25 2008
  • keep working on 5.6 homework

Week 3

• Mon January 28 2008
  • 5.7: 1-11 odd
• Wed January 30 2008
  • Turn in #2
• Fri February 1 2008
  • 5.7: 17-23 odd, Appendix G (p.A57) 1-9 odd,11,13,15

Week 4

• Mon February 4 2008
  • Here is the integral of secant cubed worked out as well as some other interesting examples.
• Wed February 6 2008
  • 5.10: 1-31 odd,55 (start working on these even though this section will take a few days to go over)
  • Turn in #3
• Fri February 8 2008
  • keep working on 5.10

Week 5

• Mon February 11 2008
  • keep working on 5.10
• Wed February 13 2008
  • Turn in #4
  • 6.1: 1-15 odd, try 27
  • 6.2: 1-13 odd,17,23
• Fri February 15 2008
  • none

Week 6

• Tue February 19 2008
  • none
• Wed February 20 2008
  • exam friday 5.5,5.6,5.7,5.10,6.1,6.2
  • Here are some problems from 5.6 and 5.7
• Fri February 22 2008
  • exam 1

Week 7

• Mon February 25 2008
  • 6.3: 1-9 odd
• Wed February 27 2008
  • Turn in #5
  • Online Handbook Of Integer Sequences
  • Wikipedia article on the Golden Mean
  • 6.5: 35-41 odd (THESE are the problems on centers of mass.)
  • 8.1: 1-31 odd, 39-45 odd
• Fri February 29 2008
  • none

Week 8

• Mon March 3 2008
  • none
• Wed March 5 2008
  • A neat article about Sierpinski's Triangle
  • 8.2: 3-35 odd
• Fri March 7 2008
  • continue with 8.2

Week 9

• Mon March 10 2008
  • SPRING BREAK
• Wed March 12 2008
  • SPRING BREAK
• Fri March 14 2008
  • SPRING BREAK

Week 10

• Mon March 17 2008
  • continue with 8.2
• Wed March 19 2008
  • 8.3: 3,7-23 odd
  • Turn in #6
• Fri March 21 2008
  • The sum of the p-series for p=2
  • The p-series for p=3

Week 11

• Mon March 24 2008
  • 8.4: 3-7 odd, 13, 19-27 odd
• Wed March 26 2008
  • none
• Fri March 28 2008
  • 8.5: 3-21 odd,25
  • 8.6: 1-21 odd,33,35

Week 12

• Mon March 31 2008
  • study for exam
  • Some series representations for
• Wed April 2 2008
  • See below for some worked out problems from Ch. 8
• Fri April 4 2008
  • Exam 2 - Chapter 8: 8.1-8.6

Week 13

• Mon April 7 2008
  • Here is a small demonstation of the behavior of the Taylor polynomials that approximate sin(x)
  • A Java applet that demonstrates how the Taylor polynomials of various functions converge.
• Wed April 9 2008
  • Turn in #8
• Fri April 11 2008
  • 8.7: 3-15 odd,33,41,49

Week 14

• Mon April 14 2008
  • 7.1: 1-7 odd
• Wed April 16 2008
  • Turn in #9
• Fri April 18 2008
  • 7.2: 1-7 odd
  • An online direction field plotter.

Week 15

• Mon April 21 2008
  • none
• Wed April 23 2008
  • Turn in #10
  • 7.3: 1-15 odd
• Fri April 25 2008
  • 8.6: 30,31,32

Week 16

• Mon April 28 2008
  • .
• Wed April 30 2008
  • .

Homework Assignments (Turn In!)

• #1. Assigned - Wed. Jan. 23 (Due Fri. Jan. 25)
  • 5.5: #46,50
• #2. Assigned - Wed. Jan. 30 (Due Fri. Feb. 1)
  • 5.6: #38,40
• #3. Assigned - Wed. Feb. 6 (Due Fri. Feb. 8)
  • 5.7: #10
• #4. Assigned - Wed. Feb. 13 (Due Fri. Feb. 15)
  • 5.10: #44
  • For this, find an improper integral whose behaviour is known to determine
  • if this integral converges.
• #5. Assigned - Wed. Feb. 27 (Due Fri. Feb. 29)
  • Ch. 6 Review Exercises #24 (P. 495)
• #6. Assigned - Wed. Mar. 19 (Due Fri. Mar. 21)
  • 8.1: #16
  • 8.2: #36
• #7. Assigned - Wed. Mar. 26 (Due Fri. Mar. 28)
  • 8.3: #8
  • 8.3: #26
• #8. Assigned - Wed. Apr. 9 (Due Fri. Apr. 11)
  • Download the pdf of this assignment if you didn't get it in class.
• #9. Assigned - Wed. Apr. 16 (Due Fri. Apr. 18)
  • 8.7: #16
• #10. Assigned - Wed. Apr. 23 (Due Fri. Apr. 25)
  • 7.1: #12

• The integral of secant cubed.
• Some interesting substitutions for integration
• A proof of the partial fractions theorem/algorithm.
• An article on the Gamma function.
• 5.6 #13, 25, 43 and 5.7 #9,11, 23
• Online Handbook Of Integer Sequences
• Wikipedia article on the Golden Mean
• A neat article about Sierpinski's Triangle
• 8.1: #21,23,25,27
• 8.6: #11
• Answer key to turn in #8.
• The series for y'=y+x without assuming that y(0)=0.
• 8.2: #25,35 and 8.3 #21,23
• 8.5 #19, 8.6 #33, 8.7 #9, 8.7 #15, 8.7 #49
• Two integrals
• 5.6 #9
• 7.3 #10