Math 231, Section 1, Winter/Spring 1996

It's all over now! If you want to find out your grade, you can use the SASI system (although it may be a while before grades are available there). You can also send me email.
Have a good summer.

On Monday, February 12, we had an exam on all of Chapter 1. On Monday, March 4, we had an exam on all of Chapter 2. On Monday, April 1, we had an exam on Chapter 3. On Wednesday, April 24, we had an exam on all of Chapter 4.

On Wednesday, May 1, we finished covering sections 1 through 4 of Chapter 5; this is the end!
The final exam took place from 10 am until noon on Thursday, May 9 in the usual classroom (Physics 127). It was comprehensive, covering all the material we do this semester, from section 1.1 to section 5.4 in the book.
I reserved the classroom on Friday, May 3 (the study day) during our usual class time in case anybody would be interested in an extra day for questions (nobody came). I had office hours Monday, May 6 and Wednesday, May 8 in the afternoon, roughly from 1-4. You can also make an appointment to see me at a different time.

To help in your review, here is a baker's dozen of the main themes we covered this semester.

• Limits, continuity, definition of the derivative
• Rates of change (velocity & acceleration) and related rates of change; tangent lines and slope
• Rules of differentiation such as the product rule, quotient rule, chain rule, and the method of implicit differentiation
• Lots of practice taking derivatives
• Approximations: linearization, differentials, Newton's method
• Information garnered from the first and second derivatives; theoretical results like the mean value theorem
• Maxima and minima and optimization problems
• Graphing using techniques from calculus
• Indefinite integrals (antidifferentiation) and differential equations
• Definite integrals, areas, and lengths; use of integrals to "add up" things; the Fundamental Theorem of Calculus
• Use of substitution in integrals and lots of practice working out integrals
• Approximating definite integrals (or areas) using the trapezoidal rule and Simpson's rule
• Volumes and solids of revolution: cross-sections, washers, and shells

Homework Assignments

• CHAPTER 5
  • Due Wed 5/1: 5.1#13,19,27,39 and 5.4#4,5,9,11,15 and 5.2#1,2,11,17,19,31,49
    No homework will be collected from 5.3, but that material will be covered on the final exam.
    No homework will be collected from 5.5, and that material will not be covered on the final exam.
• CHAPTER 4
  • Due Mon 4/22: 4.7#5,6,11,15
  • Due Fri 4/19: 4.5#1,5,12,17,23,25,29,33,38,43,46,54abcd and 4.6#3,5,11,14,19,25,28,31,36,50,59
  • Due Mon 4/15: 4.3#4,6,9,12,13ce,15,19,22,28,33,35 and 4.4#1,4,13,21,23,30
  • Due Wed 4/10: 4.1#2,4,8,10,14,19,27,34,39,45,54,55 and 4.2#4,7,13,18,20,27,29
• CHAPTER 3
  • Due Fri 3/29: 3.5#2,7,10,17,19a,22,37,48 and 3.6#2,5,9,13,18,19,24
    No homework problems will be collected from section 3.7, and that material will not be covered on the exam.
  • Due Mon 3/25: 3.3#4,8,18,27,36,42 and 3.4#6,12,20
  • Due Mon 3/18: 3.1#4,11,18,24,27,28 and 3.2#2,8,11a(iii),17,19,26
• CHAPTER 2
  • Due Mon 3/4: 2.6#2,8,18,20,30,32,34,40,47,58 and 2.7#2,4,10
  • Due Mon 2/26: 2.4#46,51,55,62,63cgh and 2.5#6,9,16,23,31,38,42,49
  • Due Fri 2/23: 2.2#5,8,12,13,26,29b and 2.3#42 and 2.4#3,4,12,19,24,31,36
  • Due Mon 2/19: 2.1#6,9,20,28,38,41,43 and 2.3#6,11,17,25,29,35,40,45
• CHAPTER 1
  • Due Mon 2/12: 1.9#1,3,13,17,23
  • Due Fri 2/9: 1.8#3,5,35,39 and 1.10#2,19,25,29a,31
  • Due Mon 2/5: 1.7#7,17,21,29,33abegj,47,59,75
  • Due Fri 2/2: 1.6#1,15,19,25
  • Due Mon 1/29: 1.3#9 and 1.4#3,11,15,21,35,39 and 1.5#3,11,15,23,31,33,39,41
  • Due Wed 1/24: 1.1#5,15,19,27,31,35,41,45 and 1.2#2,13,19,27,31,35,43,53

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