Final Exam Study Guide
Here are some details on your final exam:
- Length of exam:
The midterm was written to take about 35 minutes for
a prepared student to finish, and students were given 55 minutes to complete
it. The final exam will be written to take a prepared student
about 60 minutes to finish, and students will be given 120 minutes to
complete it. No questions will be skippable on the final, but there
will be a few bonus points available.
(Promising a certain number of questions isn’t helpful
since different questions take different amounts of time.)
- Material from Parts 1-3: About 30% to 50% of the final will consist
of problems from Parts 1-3 of the class website. These problems will be
solely based on the questions asked on the midterm, so you should only
study problems like those.
- Material from Parts 4-6: The rest of the final will consist of problems
from Parts 4-6 of the class website. The following topics are guaranteed
to appear, but students are responsible for all material covered in Parts
4-6 (so, there will be questions not listed below as well):
- Arclength (either section 4.2 or 4.4)
- Rigorously computing a sequence limit (section 5.2)
- Evaluating the value of a geometric or telescoping series (section 5.3)
- Showing convergence/divergence with one of the Comparison Tests
(section 5.5)
- Finding the domain of a power series (section 6.1)
- Generating a Maclaurin or Taylor series (section 6.2)
- Approximating the value of a function with
a Taylor polynomial (section 6.3)
- Non-exhaustive list of examples of these