Math 006 - Handout for Week 8

Outline
(1) Go over sample quiz
(2) Quiz
Short break - get your homework back etc
(3) Curve sketching
(4) Introduction to trigonometric functions
Break
Examples, tutorial
Homework (not to be handed in) Assignment Due date: Wednesday 25 March.

For the functions on the right, find things in the list on the left, and sketch the graph of the function. Please use graph paper. (I will bring some next week for people who are unable to obtain their own). Also include scale, and lable axes.

  • Ex 5.5 Page 240, B Ex 1, 3, 5, 9
  • Ex 1, page 252, 1.a,f; 2.a,f, 3,4
  • Please read the review section to chapter 6
(i) Domain
(ii) Intercepts
(iii) Asymptotes
(iv) Intervals of increase / decrease
(v) Local maximum and minimum
(vi) Concavity, convextity, points of inflection
(you don't need to do (vi) for case D).
A. (x2 - 4)3
B. (x2 - 4)1/2
C. (x - 1)/(x + 1)2
D. 1/(x(x + 2))

Sample Quiz

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

Find the intercepts, asymptotes, local max and min, of the function (x2 - 5)/(x -3), and use this to sketch the graph on the interval [-6,6]. (grid will be provided)

Office hour and Tutorial times
Office Hours for Lecturer: (room Jeff 401) Wednesday: 2.30 - 4.40 Thursday : 2:30-3:30
Office Hours for TA: (room Jeff 222) Monday, 2.30-4.30, Tuesday 3:30-4:30
Tutorial Time (room Jeff 116): Tuesday 2:30-3:30
Note, Overheads can be found on reserve in Douglas library, and outline of course, and marks, on line at
http://www.mast.queensu.ca/~helena/math006/

Hints to assignment problems are posted at
http://www.mast.queensu.ca/~helena/math006/hints.html
what goes up depends on what you ask - send email if you have questions.
Solution to sample quiz will be posted at
http://www.mast.queensu.ca/~helena/math006/quiz.html