Section: Week 07: Oct. 4 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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    • 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.

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

    • 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. 

    • Students can ask any questions about the course here.

Week 07: Oct. 4

  • Week 07: Oct. 4

    • Read 4.6
      On 40 may get derivative from graph, on all other problems you must show finding the derivative formula.
      4.6; 3, 7, 10, 18, 21, 33, 35, 38, 40.  
      p. 312; 76.
      On 76: Plot over 0 to 2 sec.  Measurements are positive going counterclockwise and negative going clockwise (as is usual in math).  So in d, positive acceleration corresponds to counterclockwise force.

    • Read 5.1 & 5.2.
      5.1; 17+, 26+, 29+, 32+, 41, 44, 53, 56.
      The + means to also find (d) where a relative maximum is at x or relative minimum is at x.
      Hint on 17-32:  simplify y' by common denominator or factoring.
      Hint on 53 & 56:  The quadratic formula (p. R-13) can help find where derivative = 0.

    • You must find maximums or minimums by using the derivative.
      5.2; 15, 42ab, 46, 50, 53 as specified below.
      Hint on 42b:  Include both + and - when you take a 6th root or ^(1/6).
      On 46b, do find the time but actual maximum value is optional.
      On 53:  On (b-i), I require you to use csc functions instead of sin as in back of book.  On (j-m), change to sin and factor out sin functions.  On m, consider at or near endpoints 0 and pi/2.  Throughout, try to avoid looking at the back of book unless necessary; it's fine if you "get ahead" of what they are asking on each step.