The first exam will cover chapters 1-3. You should review your
homework, class notes, and the textbook. Below is a list of
topics with related problems and a list of some word problems from the
review sections. Do as many of these as you need to understand
these concepts. The problems on the exam are likely to be more
challenging than the quiz problems.
List of topics and some representative problems
- Equations of lines, slopes, and meaning of slope (likely be part
of another problem or in a word problem)
- Exponential growth and decay, both continuous and discrete (1.2
#57-66; 2.1 #13-30)
- Creating and understanding semilog and log-log plots (1.3 #43-89)
- Recursion relations: using them, fixed points, word problems (2.2
#83-110, also problems from 2.1 given above)
- Population models (see additional word problems below)
- Computing limits (3.1 #37-54; 3.2 #29-48; 3.3 #1-24; 3.4
#1,2,5-15)
- Knowing when and why limits do not exist (3.1 examples 3-6)
- Understanding and applying the definition of continuity (3.2,
#5-12, 27, 28)
- Intermediate value theorem; using and understanding the accuracy
of the bisection method (3.5, #4-8)
Some additional word problems from the review sections. All of
the topics are not represented in these problems, but these are good
examples of word problems that are appropriate for the exam.
Section 1.5 -- #6, 7, 8, 9, 11, 15
Section 2.5 -- #15
Section 3.8 -- #6, 11, 12(b,c)