Speaker Characteristics:

Gender: male;
Age range: adult;
Pronunciation dialect: General American English.

Recording Information:

Microphone make: Sennheiser PC 131;
Microphone type: noise canceling headset;
Audio card make: Andrea USB adapter;
Audio card type: USB;
Audio Recording Software: Audacity 1.2.6;
O/S: Windows XP Professional.

File Info:

File type: FLAC;
Sampling rate: 48kHz;
Sample rate format: 16bit;
Number of channels: 1;
Audio Processing: no

en14-001 It depends exactly on how the temperature varies.
en14-002 She will put in the arbitrary constant explicitly.
en14-003 We need only a solution.
en14-004 There is no need to include the integrating constant.
en14-005 And what is the resulting equation?
en14-006 The name comes from the fact that it is an integral.
en14-007 It shows as a multiple in the equation.
en14-008 Why don't we concentrate on the constant coefficient?
en14-009 They can do this in general.
en14-010 The left-hand side can now be integrated.
en14-011 I want to give you a positive experience.
en14-012 You can follow your notes.
en14-013 This is doing what you are supposed to do.
en14-014 That is going to give him problems.
en14-015 They are not going to make any mistakes.
en14-016 Please include the right-hand side.
en14-017 They are so happy to have found the integrating factor.
en14-018 He doesn't put it in standard form.
en14-019 I think I should warn you.
en14-020 You can find the derivative.
en14-021 There is always a chance that she forgot something.
en14-022 He is going to write it this way.
en14-023 This is the integrating factor.
en14-024 What is the first thing to do?
en14-025 You have to find the integral factor.
en14-026 This is a negative sign.
en14-027 He wrote it in a different form.
en14-028 They better get the right value.
en14-029 You must put it in this form.
en14-030 This is the method for solving this equation.
en14-031 So let's do that.
en14-032 And that is the way we solve the solution.
en14-033 This is an extremely beautiful formula.
en14-034 Everything gets so complicated.
en14-035 All he wants is a single value.
en14-036 She is going to do this.
en14-037 She will be able to solve the equation.
en14-038 This is something they want to be equal.
en14-039 What is the condition that he has to satisfy?
en14-040 See how reasonable that is.
en14-041 He has chosen them so cleverly.
en14-042 This is the derivative of something.
en14-043 He wanted to multiply this equation.
en14-044 Here is what you wanted to do.
en14-045 This is the integrating factor.
en14-046 He has colleagues who would fight with him.
en14-047 This is the way he is going to do it.
en14-048 There is always a trick involved.
en14-049 They have to learn that this is an eigenvalue.
en14-050 It will have an eigenvalue of one.
en14-051 This happens to be a different value.
en14-052 So, that is what is coming.
en14-053 This will be totally connected.
en14-054 They can see how this works just by looking at this picture.
en14-055 This is a stable critical point.
en14-056 It is just a little bit above zero.
en14-057 They are supposed to be translations of each other.
en14-058 They are increasing in between the two curves.
en14-059 How do these other solutions look like?
en14-060 He is going to make that same analysis.
en14-061 Those are positive numbers.
en14-062 There are his three critical points.
en14-063 They try to get the basic information.
en14-064 He was going to write it on the board for them.
en14-065 He has to use those fractions.
en14-066 This is the simple population growth.
en14-067 He is trying to get used to the different variables.
en14-068 This equation describes how population increases.
en14-069 This is a popular equation.
en14-070 He wants to make sure they have time for them.
en14-071 It is still going to decrease.
en14-072 He only has to draw two of those.
en14-073 That represents the rate of change.
en14-074 What is she going to get out of that line?
en14-075 The intercept is down here.
en14-076 He is going to use the same terminology.
en14-077 What do the other solutions look like?
en14-078 There is definitely a horizontal solution.
en14-079 She wants to know what is happening to the solution.
en14-080 There is only one critical point.
en14-081 She wants to analyze this equation.
en14-082 That is the way you make progress.
en14-083 The solution will be decreasing.
en14-084 He is going to show them more.
en14-085 That really limits their behavior.
en14-086 They are differentiating a constant.
en14-087 They are trying to get a lot of information.
en14-088 Why isn't she even talking about this in the first place?
en14-089 She is not ready to do the calculation.
en14-090 He would skip a couple of these steps.
en14-091 They may have some doubts.
en14-092 What is the advantage of doing that?
en14-093 The same thing is going to be true for the integral.
en14-094 He cannot trust his memory.
en14-095 He is trying to find out the answer.
en14-096 He would like to use it for something.
en14-097 Those are the absolute values.
en14-098 He didn't talk about magnitude.
en14-099 This is the polar form of the complex number.
en14-100 They are definitely allowed to do this.
en14-101 He is trying to separate the imaginary part.
en14-102 What is the derivative of the generic variable?
en14-103 This tells him what he has to check.
en14-104 That is what you are doing here.
en14-105 They have to write it this way.
en14-106 How do they differentiate such a thing?
en14-107 This is a complex value function of a real variable.
en14-108 What is coming out is a complex number.
en14-109 He doesn't know how to differentiate it.
en14-110 They are exactly the same thing.
en14-111 She will use the method of grouping.
en14-112 They have to calculate the product of these two things.
en14-113 They are talking about the series.
en14-114 Why is it such a popular function?
en14-115 He realizes a lot of people don't know about that.
en14-116 This will get more familiar to you.
en14-117 He thinks it is important to talk about that a little bit.
en14-118 Some people feel that this doesn't work.
en14-119 He has to put down the real part.
en14-120 It is divided by a different value.
en14-121 They want to calculate those numbers.
en14-122 You can always multiply the number.
en14-123 It is much cheaper than it used to be.
en14-124 Let's talk about the logistic equation.
en14-125 How can I multiply complex numbers?
en14-126 There are always different answers.
en14-127 It is a completely straightforward process.
en14-128 This comes from the negative product.  
en14-129 That is the answer to the question.
en14-130 They want the real part of this.

Copyright (C) 2007  Ralf Herzog

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, see <http://www.gnu.org/licenses/>. 

--- (Edited on 10/14/2007 12:44 am [GMT-0500] by ralfherzog) ---