Section: Week 13: Nov. 15 | MAT 112A (Fall 2021) - Calculus I and Modeling

Section: Week 13: Nov. 15 | 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.
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- 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 13: Nov. 15

Week 13: Nov. 15
- #32 Assignment
  
  Read 11.1
  On all problems, solve for y if possible.
  11.1; 1, 9, 12, 15, 19, 23, 34, 52, optional star: pair *(39ab and 41)
  Problem A: Find the general solution (solved for y) of dy/dx = 1 + y²
- Folder with recording of 11/17/21 Lecture (for #33) URL
  
  Click on file zoom_0.mp4 in the folder.
  Sorry about Gallery View so lecture is only the right half of the screen.
- DE software -- slopefield and numerical solutions (use RKF45) URL
- #33 with handout for the day Assignment
  
  Do homework on back of in-class handout (also attached).
- Zoom Recording of 11/19 (for #34) lecture URL
- #34 "quiz" link after Mon. class
  
  Read 11.6 especially Example 2.
  Instructions for the following problems are changed to Moodle instructions below. When using online slope field on this homework, you may simply answer the question (say from online graph or table) and/or hand-copy the solution curve if you clearly label the axes ranges.
  11.6; 3 Replace the "and 400 are infected 10 days later" with "and at the beginning of the epidemic (when y=100) the infection rate (y') is 14 people per day." For (a) write a differential equation with initial condition (not the solution as in the back). Then find equilibrium values and make a qualitative sketch of the solution curve for this initial condition. (b) Use online slope field to estimate the answer to b.
  11.6; 10, 11, 12, 13. The first sentence should be prefaced with the word "Initially," since the physical tank might hold at least twice as much over time. On each of these problems, replace all instructions with: (a) Write a differential equation with initial condition for y(t), the lbs of salt in the tank at minute t. (b) If the DE is autonomous (10 & 13), find equilibrium values and make a qualitative sketch of the solution curve for this initial condition. If not autonomous (11 & 12), use online slope field to make an accurate sketch over 100 minutes. (c) Does the trend make physical sense?
  11.6; 14, 16. As intended in the text; write and solve the separable DEs.
  The "Quiz" is a way to record your grade out of 10 from in-class corrections.

Section: Week 13: Nov. 15 | MAT 112A (Fall 2021) - Calculus I and Modeling | Davidson College

General

Week 13: Nov. 15

Week 13: Nov. 15