Section: Week 04: Sept. 13 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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    • Neidinger's Office Hour Zoom link TuTh 10:50 -- 11:50 URL

      Expected Tues & Thurs 10:50 -- 11:50 a.m.  Email Neidinger (rineidinger) if not working or to arrange any other time.

    • Neidinger in-person Office hour:  in Chambers 3043 after class MWF 10:40 -- 11:40.

    • Embedded Tutor Basel Elzatahry Zoom Link (if and when arranged by email) URL

    • Basel Elzatahry in-person help sessions:  In Chambers 2130 (starting 9/7/21) on 
      Sundays 3-5p;
      Tuesdays 8-10p,
      Thursdays 8-10p.

    • Math & Science Center URL

      The linked page will post tutor schedules for drop-in assistance, as well as links to schedule an appointment with a tutor. Located in the Center for Teaching & Learning (CTL) on the first floor of the College Library, the MSC’s drop-in hours are Sunday through Thursday, 8-11 PM, beginning Sunday, August 29. Prior to visiting for drop-in help, be sure to look at the tutor schedules to determine when an appropriate tutor for Calculus will be present. 

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Week 03: Sept. 6
Week 05: Sept. 20

Week 04: Sept. 13

  • Week 04: Sept. 13

    • #10 Assignment

      Read 3.4

      • Prob A.  If f(x)=x, prove f '(x)=1 by definition of derivative.

      • Prob B.  If f(x)=x4, prove f '(x)=4x3 by definition of derivative (expand (x+h)4).
      3.4; 1, 15+, 17+, 38, 39, 55.
      On 15 and 17, in addition to everything instructed, after you prove the derivative formula, use it to find the equation of the tangent line to the curve at x=3.

    • Differentiabul song URL
    • Example: Derivative Definition with Square Root File
    • #11 Assignment

      Read 3.5 and 4.1.
      3.5; 6, 7, 8, 9, 10, 12.
      4.1; 3, 12, 17, 20, 32.
      On 20:  Rewrite as powers of x; don't use quotient rule.

    • #12 Assignment

      Read 4.2.
      Prob A:  If f(x) = c u(x), prove f '(x) = c u'(x) by definition of derivative.
      4.1; 43, 57, 58abcd, 62, 71.  (Hints below; remember to include units in 62 and 71)
      4.2; 7, 19, 22, 29, 30, 33.   (Instructions specify use product or quotient rule, so you must!)
      Hint for 4.1 probs:  Easier not to use quotient rule, instead pull constants out front and/or use negative exponents.
      Hint on 56d: Units of BMI are just that, units of BMI. Describe the derivative as how much something changes for every what?
      Optional star (hand in separately within a week): do the pair of problems *(4.1;65 and 4.2;37 ).

Week 03: Sept. 6
Week 05: Sept. 20