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Summary Points: |
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| 1) |
Approximately 40% the exam will be straight up integration problems
- Algebraic simplication and Method of substitution (section 5.6)
- Simple Inverse Trig. Integrals (section 5.7)
- Integration by parts (section 7.1)
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| 2) |
The balance of the exam 60% will be on integral applications
- Area between curves (section 6.1)
- Volumes by slices (section 6.2)
- Volumes of revolution - Washers (section 6.3)
- Volumes of revolution - Shells (section 6.4)
- Work (section
6.5)
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| 3) |
The following topics will NOT be on the exam
- averages of any kind (as in sec 6.2)
- integrals involving arcsec(u), arccsc(u), arccot(u) in sec 5.7
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| 4) |
You are NOT allowed a cheat sheet and no formula sheet will be attached to the exam.
You should committ the following integrals to memory:
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| 5) |
You are expected to evaluate sine, cosine and tan of multiples of Pi/6, Pi/3, Pi/4,
Pi/2
as well as evaluate inverse trig functions (arcsin, arccos, arctan) of 0, 1/2,1. |
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| 6) |
Exam questions are variants of homework problems. Generally speaking the HW is a very
good guide to the kinds of problems on the test. |
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| 7) |
You should be able to do the exam in 60-75min but will have 1hr and 50min |
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| 8) |
Remember our tutoring resources - both the Math Learning Center and review sessions held by Corinne Casolara (SSC). |
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