assignments

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Web Survey

Due Date: 
Tuesday, December 7, 2010 - 04:00

As at the beginning of the semester, this online survey about the course structure is worth a quiz grade. Plus, we're always looking for input on the course structure.

I don't see what anyone specifically writes, so the survey is anonymous. However, I do receive a list of students who took the survey, for the purpose of giving them the quiz credit.

http://www.zoomerang.com/Survey/WEB22B5EXTNC25

Book Assignment 14

Due Date: 
Monday, December 6, 2010 - 16:00

Section 16.1: problems 25, 29
Section 16,2: problems 29, 42
Section 16.3: problems 21, 22

Book Assignment 13

Due Date: 
Wednesday, December 1, 2010 - 16:00

Section 14.2: Problems 39 and 40

Book Assignment 12

Due Date: 
Monday, November 15, 2010 - 16:00

Section 12.2: problems 16 and 24
Section 14.1: problems 18 and 19

Webwork 11.5 Hints

Math 2300 Section 005 – Calculus II – Fall 2010

Webwork 11.5 Hints – Wednesday, November 3, 2010

Half-Life Example

  1. I'll modify an example I've used before. Assume that at time t=0 I consume 300mg of caffeine (I believe this is the largest amount legally allowed in a single dose). The amount of caffeine in my system Q is then a function of time that satisfies some proportionality constant k. That is, the amount of caffeine in my system at a time t is a solution to the differential equation

    Q^{{\prime}}=\frac{dQ}{dt}=kQ.

    We don't know what k is, but maybe we know that the half-life of caffeine in my system is 1.5 hours. So, what we want to do is as follows: The differential equation above represents caffeine decay in my system in general. In the specific situation (corresponding to an initial condition) when I digest 300mg at time t=0, there is a specific solution. We need to find that specific solution. Let's do that, and then solve for k.

    \displaystyle\frac{dQ}{dt} \displaystyle=kQ
    \displaystyle\frac{1}{Q}\frac{dQ}{dt} \displaystyle=k
    \displaystyle\int\frac{1}{Q}\frac{dQ}{dt}\, dt \displaystyle=\int k\, dt
    \displaystyle\ln|Q| \displaystyle=kt+C
    \displaystyle Q \displaystyle=Be^{{kt}}

Book Assignment 11

Due Date: 
Monday, November 8, 2010 - 16:00

Section 11.5 Problem 24
Section 12.1 Problems 30 and 34

Book Assignment 10

Due Date: 
Monday, November 1, 2010 - 16:00

Section 11.2 Problem 14
Section 11.4 Problems 36 and 42

Book Assignment 9

Due Date: 
Monday, October 25, 2010 - 16:00

Section 10.2 Problems 28 and 32
Section 10.3 Problems 22 and 24
Section 10.4 Problems 20 and 22
Section 11.1 Problem 22

Book Assignment 8

Due Date: 
Monday, October 18, 2010 - 16:00

Section 10.1 Problems 28, 31 and 32

Book Assignment 7

Due Date: 
Monday, October 11, 2010 - 16:00

Section 9.3 Problem 50
Section 9.4 Problems 60, 84
Section 9.5 Problems 34, 42

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