Math 251 (Phillips) Week 3 schedule and information

• Monday 20 January: No class.
• Tuesday 21 January:
  • Worksheet used in class.
  • Solutions to the worksheet used in class.
• Wednesday 22 January:
  • Written Homework 3 part 1 (pdf) due in class, on paper.
  • Solutions to Written Homework 3 part 1 (pdf).
  • WeBWorK assignment NCP_2025W_W3D3 due, 9:00 pm.

    Warnings on Problem 10:

    • Be careful: some of the labelled points are actually not on the graph. (These are shown as open circles.)
    • The wording is bad: the question should ask about values in the domain.
    • "Relative maximum" is used for "local maximum", etc.
    • Contrary to the convention in our textbook, this problem considers an endpoint of the domain to be local extremum if it looks like one from just one side.
    (Unfortunately, the only other problem like this I could find has worse defects.)
• Friday 24 January:
  • Worksheet used in class (corrected: the derivative of cos (x) was wrong on the original).
  • Solutions to the worksheet used in class. (This has been corrected and expanded from what was given out in the 9:00 am class.)
  • Written Homework 3 part 2 (pdf) due in class,on paper.
  • Solutions to Written Homework 3 part 2 (pdf).
  • WeBWorK assignment NCP_2025W_W3D5 due, 9:00 pm.

    Comments:

    • There was enough difficulty with function evaluation on Midterm Zero that I have added three problems on finding different quotients.
    • All functions occurring in differentiation problems can be rewritten to be in the form we have already seen how to differentiate during Week 2.
    • All absolute maximum and absolute minimum problems are of the sort we have already seen.
    • The function in the maximization word problem can be rewritten to be in the form we have already seen how to differentiate. The problem comes with a picture; many later such problems won't.

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This page maintained by N. Christopher Phillips, email.

Last significant change 6 January 2025.