MATH 160 004 - Review Suggestions for Test #1 -- 9/25/07

Under construction: this is NOT the final form of this list.

Be sure to show your work on the test. On the first page of the test it says

Support your problem solutions with written solution steps. Unsupported correct answers won't get as many points as correct answers supported by solution steps. Unsupported incorrect answers will miss out on any partial credit that's available.

1. Calculator policy: You can bring along a TI-30, or equivalent. I'm allowing myself the power to declare calculators "too able", and thus not useable on the exam:
   • No text-storage capability
   • No graphing capability
   • No computer-algebra capabilty
   • No communication capability (No IR, No bluetooth, ...)
2. The test will cover the material of assignments #1 - #13, roughly.
3. MATH-143 Things:
   • Writing correct difference quotients: click here for problems.
   • Friendly Faces and Transformations: 2-2: 9-35 odds. Also 2-3: 9. Also 2-4: 1, 29
   • Piece-wise function graphs: 2-2: 47
   • Compound interest: 2-4: 61 (what changes if we compound monthly rather than quarterly?)
   • Factoring
   • Least Common Denominator
   • Recognizing and solving a quadratic equation
   • Laws of Exponents
   • Laws of Logarithms
4. Limits from graphs: 3-1: 1-12
5. Limits by algebra: 3-1: 41, 43, 45, 47, 49 (and derivative computation by limits)
6. You'll surely have to use limits and algebra (Four-Step Process) to compute a derivative.
   • 3-4: 13, 19, 23, 25
   In such problems you'd have to show the algebra steps and show taking the limit.
7. The short-cut derivative-finding methods so far:
   • Power rule
   • Power rule for negative and fraction powers -- see 3-5: 29, 35, 39, 43
   • Linear-combination rule:
     • theorems 3 and 4 in 3-5 and
     • problem 2 on the 9/21/07 quiz.
     • Also 3-5: 47-55 odds and
     • 3-5: 69-75 odds and
     • 1(c) on the 9/21/07 quiz.
8. You'll surely have to find tangent-line equations. -- see (3-5: 49-52)