MATH 1004A – Suggested exercises
1.
Appendix “A” (Trigonometry)
a.
Set 1 (pages 13-14) .
.. try:
i.
A few from exercises 1 – 25 (25. is fun)
ii.
A couple from exercises 26 – 31
iii.
A couple from exercises 33 – 41 (in particular try to confirm the statement made
in 33.
..)
iv.
A couple from 42 – 50.
. Refer to the unit circle (Google “unit circle”) and refrain
from using your calculator (as an exercise).
2.
Chapter 1 (Functions and their properties)
a.
Set 2 (page 19):
i.
Nos. 1, 3, 5, 11
ii.
Nos. 17, 18
b.
Set 3 (page 27):
i.
Nos. 1, 3, 4, 5
ii.
No. 9 (see ex. 39 p. 24)
c.
Chapter exercises (page 29):
i.
Nos. 1, 2, 3, 4
ii.
Nos. 6, 8, 5, 7 (in that order) .
.. for 5 and 7 you have to consider 2 cases:
denominator is (+)
or
denominator is (-).
..
iii.
Write in pieces the functions from the following: 15, 17, 21
3.
Chapter 2 (Limits and continuity)
a.
Set 4 (page 39):
i.
Nos. 2, 4, 6, 10, 12
ii.
Nos. 14, 15
b.
Set 5 (page 45):
i.
Nos. 1, 3, 5 (hint: sin 0 = 0), 7, 6 (the last 2 are infinite limits: do the analysis)