Math 172 : Midterm 1

Thursday 9/19 @ 6-7:50pm

Summary Points:  
1)       Approximately 40% the exam will be straight up integration problems
  1. Algebraic simplication and Method of substitution       (section 5.6)
  2. Simple Inverse Trig. Integrals                                   (section 5.7)
  3. Integration by parts                                                 (section 7.1)
2) The balance of the exam 60% will be on integral applications
  1. Area between curves                                               (section 6.1)
  2. Volumes by slices                                                    (section 6.2)
  3. Volumes of revolution - Washers                               (section 6.3)
  4. Volumes of revolution - Shells                                  (section 6.4)
  5. Work                                                                      (section 6.5)
3) The following topics will NOT be on the exam
  1. averages of any kind (as in sec 6.2)
  2. integrals involving arcsec(u), arccsc(u), arccot(u) in sec 5.7
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:

Simple integrals
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.
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.  
7) You should be able to do the exam in 60-75min but will have 1hr and 50min  
8) Remember our tutoring resources - both the Math Learning Center and review sessions held by Corinne Casolara (SSC).  


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