I just sent out an email with your final grade report including final
exam grades, course averages, and letter grades.
If you ever want to look over your final exam, please feel free to stop
by my office. I tend to keep them around for at least a couple of years.
I hope you have a wonderful (what remains of the) summer! Most importantly,
even though this class is over, if you ever have any questions mathematical
or otherwise, don't hesitate to stop by my office or send me an email. I'd love
to help if I can!
8/02
• The Final Exam is Tuesday, August 6th.
• IN PERSON ATTENDANCE IS REQUIRED.
• You may bring one page of notes to the final exam.
[One side of a standard size piece of paper.]
The page of notes can be printed or handwritten and contain whatever
you want (formulas, examples, etc.).
Once I get your final quizzes graded, I will send out a grade report that
includes your overall quiz & homework average. [I plan to curve this
average a bit.]
Also, I will replace your lowest test score with your final exam score (if it helps).
Studying: Please look over old quizzes, suggested homework (including chapter review
problems), old tests, handouts and notes. The following sections/topics are relevant:
5.5 (substitution)
5.6 (separable DEs - not the word problems)
6.1 area between graphs
6.2 volumes of revolution: disks and washers
6.3 [skip]
6.4 volumes via slicing
6.5 [skip]
6.6 work
6.7 [skip]
6.8 [skip]
7.1 integration by parts
7.2 integrals with trig functions
7.3 inverse trig subs
7.4 [skip]
7.5 partial fractions
7.6 [skip]
7.7 improper integrals
7.8 [skip]
7.9 mixed practice
8.1-8.7 (as needed)
You should know how to recognize and sum geometric series.
You should know what absolute and conditional convergence are.
You may need to apply some of the convergence tests when working a power
series problem - but I don't plan on asking about convergence for general series.
8.8 power series
8.9 Taylor series - skip binomial series
8.10 Taylor polynomials - skip error/estimation problems
You can find old tests here. The following problems are relevant:
Fall 2021: Final Exam - all of it ← Our final should be a lot like this one.
Test #1: 2-6, 8
Test #2: 1-2, 4-5
Test #3: 1, 3b, 4[as needed]
Spring 2014: Test #1: 1-3, 4b, 5
Test #2: 2-4, 7
Test #3: 1[as needed], 2-3, 4ac, 5
Final Exam: 2b, 3-9
Fall 2010: Test #1: 4, 6
Test #2: 1-2, 3b, 4-6
Test #3: 1ac, 3b, 4
Spring 2009: Test #1: 5, 7
Test #2: 1-3, 4b, 5-6
Test #3: 1ac, 3b, 4
Final Exam: 2b, 3-7, 8[as needed], 9, 10
Test #3 is Tuesday, July 30th. It will cover improper integrals,
sequences, series, and series convergence tests. This amounts to sections 7.7
& 8.1-8.7 in our text. You may find the handout and examples (posted above) helpful.
In addition, to notes, suggested homework, quizzes, and
handouts, old tests are a good resource for studying.
Fall 2021: Test #3 (both forms) all of it ← Our test should be a lot like this one.
Final Exam problems 6ad
Spring 2014: Test #2 (both forms) problem 2
Test #3 (Sec. 101) probs. 1 and 3b &
(Sec. 108) probs. 1 and 3ab
Final Exam (both forms) problem 7
Fall 2010: Test #3 (both forms) problems 3,4,6
Spring 2009: Test #3 problems 3b,4,6
Final Exam (both forms) problems 6,7ab,8
7/23
After finishing up improper integrals (Section 7.7), we will discuss some software. In particular, we
will use the Computer Algebra System (CAS) called Maple.
Note: With the probability examples and homework problem is there an annoying
"discretization" issue that I'm glossing over. For example, if someone says
they are 5 feet 10 inches tall (= 70 inches), they probably mean that their
height is between about 69.5 and 70.5 inches. We will ignore this issue.
7/18
• Test #2 is Monday, July 22nd.
• IN PERSON ATTENDANCE IS REQUIRED.
This test covers Sections 7.1-7.5, but checking out suggested homework
from 7.9 and the chapter 7 review is a good idea too.
Test topics include:
7.1 = integration by parts
7.2 = integrating trig functions: powers of sine/cosine, powers of secant/tangent, and
integrating stuff like sin(2x)cos(5x).
7.3 = inverse trig substitutions: integrals involving $a^2-x^2$, $x^2-a^2$, and $x^2+a^2$
[use a sub like $x=a \cdot \sin(\theta)$ etc., convert to a 7.2 problem, convert back using a triangle.]
7.4 = completing the square: integrals with a quadratic or square root of a quadratic denominator.
[split into a u-sub piece and complete the square piece, do the u-sub piece, do the
complete the square piece by completing the square, factoring out a number to get a "1",
make a u-sub, integrate, sub back in.]
7.5 = partial fraction decompositions: polynomial division to make fractions proper,
write down our "forms", be able to compute partial fraction decompositions and then integrate.
Like last time, the best approximation of our upcoming test is the corresponding test from Fall 2021.
Looking at other old exams is a great idea, but our current text includes some kinds of problems
that did't show up in my old tests.
I highly recommend looking at notes, quizzes, examples worked out in the text, as well as
suggested homework from 7.1-7.5. You might want to check out suggested homework from 7.9 ("mixed practice")
and the Chapter 7 review (skip 39,41,43,45 in the review - these use stuff we haven't covered yet).
Don't forget that (Achieve) Homework #1 is due Saturday (7/13) at 1pm.
• Test #1 is Monday, July 15th.
• IN PERSON ATTENDANCE IS REQUIRED.
You are responsible for the material we covered in Section 4.8, Chapter 5, Chapter 6,
and Section 7.6. Topics: Approximations (left, right, midpoint, trapezoid, Simpson's rule),
the Fundamental Theorem of Calculus (both parts), Integration via substitution, Separation
of variables DEs, Area between curves, Volumes via disks/washers/slices, Arc length, Work, and
Hydrostatic force.
You can skip: Error estimates for approximations, volumes via shells, surface area of
revolutions, work problems involving springs, and center of mass stuff (section 6.8).
To review for the test I recommend looking over Homework (suggested and assigned),
Examples from class, Quizzes, and problems from Old Tests (more details below).
Old MAT 1110 (Calculus 1) exams can be found here and
Old MAT 1120 (Calculus 2) exams can be found here.
Summer 2024 Session 2 MAT 1120 (Calculus II)
meets MTWRF 8:00am-10:10pm in Walker Hall 314.
Syllabus, tenative schedule, etc. to be posted this upcoming summer.
Q: Can I take this online?
A: Not entirely. Please contact me, cookwj@appstate.edu, for further information.