Math 006 - Handout for Week 11

(1) Go over sample quiz
(2) Quiz
Short break - get your homework back etc
(3) Logrithmic functions, and their derivatives (8.3), (8.4)
(4) Exponential functions - examples (8.5)
(5) Break, then Examples, tutorial
Homework (not to be handed in)
  • Ex 8.5 Page 375, B Ex 1, 3.a.c.e. Ex 4.a.c.e., Ex 5.a.c. C. Ex 13
  • Ex 8.4 Page 314, B Ex 1.a.c.e.g, Ex 4.a.c
  • Ex 8.5 Page 321, B Ex 1,6,13

There will be no more assignements. The last one is due next week.

Sample Quiz
There will be a quiz next week, which will be similar to the following question:

The population of a certain city grows at 10% per year. The population in 1990 was 200 000. What will the population be in the year 2000? (Assume rate of growth is proportional to the population.)

What will be on the exam
  • (1) Find the derivative of list of functions, including functions involving sine, cosine, exponential and logrithmic fuunctions, in combination with polynomials.
  • (2) Find the equations for tangents of graphs, and tangents with given slope.
  • (3) Long detailed question to sketch a curve, including finding convave up, concave down, like assignment 8 examples.
  • (4) given a sketch of a graph, sketch the derivative (like homework: page 75, 2.1, Ex 2, page 77 Ex 13)
  • (5) Related rates problem.
  • (6) Problem about finding absolute max and min on an interval.

Next week will be a review class - please let me know what you want me to concentrate on!

See previous weeks handout for tutorial times etc. I will update the marks page over the weekend . Please check your marks at http://www.mast.queensu.ca/~helena/math006/marks.html