Math 172 : Midterm 1

Date: Wednesday, Feb 11, 6:00-7:50pm

Summary Points:  
1)       Approximately 40% the exam will be straight up integration problems
  1. Method of substitution                                               (section 5.6)
  2. Simple Inverse Trig. Integrals                                   (section 5.7)
  3. Integration by parts                                                 (section 7.1)
  4. Trigonometric Integrals                                            (section 7.2)
You will have to do one of each of the four types of integrals above.

For the inverse Trig. integrals (5.7) you will need to memorize:

                             inverse trig

For Trig integrals in (7.2) the formula sheet below of trig. identities will be included
2) The balance/bulk 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)
You will have to do one of each of the five application areas above. In some
instances you will be asked only to "set up" the integral which means writing
out a definite integral with correct limits of integration and correct integrand.
3) Some noteable exclusions from the exam are:
  1. any topic in section 6.2 other than Volumes by slices
  2. integrals involving arcsec(u), arccsc(u), arccot(u) in sec 5.7
4) A formula sheet for (7.2) will be attached to the exam.  
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. Also you
need to know ln(e)=1 and ln(1)=0.
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).  

      Formula Sheet that will be attached to Midterm:

Formul Sheet

TERF (CBL) - Technology Enhanced Reversed Flipped (Criteria Based Learning)