Section: Week 09: Oct. 18 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

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  • General

    • 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. 

    • Announcements (Broadcast to students) Forum
    • Question Forum

      Students can ask any questions about the course here.

    • Coronavirus in the US (and elsewhere) -- meaningful graphs that are up-to-date URL
Week 08: Oct. 11
Week 10: Oct. 25

Week 09: Oct. 18

  • Week 09: Oct. 18

    • #22 Assignment

      Read 6.3
      6.3; 3, 14, 17, 19, 38, 48.
      6.4; 3, 8, 16.

    • #23 Assignment

      Read 6.4; geometry formulas are on page A-10 (Appendix D).
      6.4; 21, 22, 23, 24, 25, 27, 28.

    • #23 Solutions 6.4 Related Rates File
    • Rotation related rates example File
    • #24 due Monday and "quiz" link for after class

      Read 6.5 but replace p. 352 with the following:  The linear approximation of f(x) for x near a is
      f(x) ≈ f(a) + f '(a)(x-a). This should approximate any f with a line, as in the point slope form f(x) ≈  y1 + m (x-x1).

      6.4; 30, 36.
      6.5; 1, 25, 29, 32, 35:  do all these problems using differentials.
      Exercises:  For each of the following, write down the linear approximation f(x) ≈ f(a) + f '(a)(x-a) for x near a; then, if requested, test it by using it to approximate the specific value(s).  (An example answer looks like: x^5 ≈ 1+5(x-1) for x near 1; test (1.003)^5 ≈ 1+5(.003)=1.015  (actual 1.01509...).)
      A.  f(x) = sin(x) for x near 0; test sin(.03); test sin(-.12)
      B.  f(x) = x^(1/2) for x near 25.
      C.  f(x) = ln(x) for x near 1; test ln(.996). 
      D.  f(x) = (1+x)^n  for x near 0; test 1.001^37.

      The "Quiz" is a way to record your grade out of 10 from in-class corrections.
      For Monday:  You may bring past assignment and problem numbers that you want to go over.

Week 08: Oct. 11
Week 10: Oct. 25