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Lecture notes on stochastic models in systems biology
These notes provide a short, focused introduction to modelling stochastic gene expression, 
including a derivation of the master equation, the recovery of deterministic dynamics, 
birth-and-death processes, and Langevin theory. The notes were last updated around 2010 
and written for lectures given at summer schools held at McGill University’s Centre for 
Non-linear Dynamics in 2004, 2006, and 2008.
- Class notes
- • 23 pages •
These notes provide a short, focused introduction to modelling stochastic gene expression, 
including a derivation of the master equation, the recovery of deterministic dynamics, 
birth-and-death processes, and Langevin theory. The notes were last updated around 2010 
and written for lectures given at summer schools held at McGill University’s Centre for 
Non-linear Dynamics in 2004, 2006, and 2008.
NOTES ON BASIC HOMOLOGICAL ALGEBRA
NOTES ON BASIC HOMOLOGICAL ALGEBRA
- Class notes
- • 15 pages •
NOTES ON BASIC HOMOLOGICAL ALGEBRA
C++ tutorial notes
BASIC PROGRAM STRUCTURE 
A C++ program1 is made up of a mainline procedure called main(), and zero or more additional procedures to perform 
operations within your program. When a program starts execution, it begins by calling the mainline procedure. 
Source code for a program can be contained in a single file, or split across multiple files. Additional functionality 
may also be provided via external libraries. The source code is compiled into object files. The object files are then 
linked tog...
- Other
- • 23 pages •
BASIC PROGRAM STRUCTURE 
A C++ program1 is made up of a mainline procedure called main(), and zero or more additional procedures to perform 
operations within your program. When a program starts execution, it begins by calling the mainline procedure. 
Source code for a program can be contained in a single file, or split across multiple files. Additional functionality 
may also be provided via external libraries. The source code is compiled into object files. The object files are then 
linked tog...
Political Spectrum Notes
Political Spectrum Notes
- Summary
- • 22 pages •
Political Spectrum Notes
Solutions to Towler & Sinnott Chemical Engineering Design 2nd edition
Note that most of the problems involve design and so have no single unique answer. Credit should be given to students who have followed the right method and found similar solutions. Indeed, the probability of any student independently coming up with the exact answers given in the solution set for more than a few problems should be vanishingly small and this event should cause the grader to be suspicious. The “optimal” solutions presented are usually not numerically optimal and are merely clo...
- Class notes
- • 16 pages •
Note that most of the problems involve design and so have no single unique answer. Credit should be given to students who have followed the right method and found similar solutions. Indeed, the probability of any student independently coming up with the exact answers given in the solution set for more than a few problems should be vanishingly small and this event should cause the grader to be suspicious. The “optimal” solutions presented are usually not numerically optimal and are merely clo...
ChE 344 Chemical Reaction Engineering Exam II Open Book and Notes
ChE 344 Chemical Reaction Engineering Exam II Open Book and Notes
- Exam (elaborations)
- • 15 pages •
ChE 344 Chemical Reaction Engineering Exam II Open Book and Notes
Bible Study Notes
Bible Study Notes
- Summary
- • 14 pages •
80-20 Sales & Marketing
A few years ago I held a seminar in Chicago called “The 80/20 
Seminar for Direct Marketing.” To my knowledge it was the 
first such conference or seminar. It cost $3,000 to attend and 
I had about 80 people in the room. All of them ran businesses of one 
kind or another, most of them online. To illustrate the all-pervasive 
nature of 80/20, I said, “Everybody stand up if you have shoes on.” 
Everyone stood. I said, “If you own fewer than 4 pairs of shoes, 
please sit down.” A bunch ...
- Presentation
- • 17 pages •
A few years ago I held a seminar in Chicago called “The 80/20 
Seminar for Direct Marketing.” To my knowledge it was the 
first such conference or seminar. It cost $3,000 to attend and 
I had about 80 people in the room. All of them ran businesses of one 
kind or another, most of them online. To illustrate the all-pervasive 
nature of 80/20, I said, “Everybody stand up if you have shoes on.” 
Everyone stood. I said, “If you own fewer than 4 pairs of shoes, 
please sit down.” A bunch ...
Learn How to Play Piano
Learn How to Play Piano Chords, Notes Scales
- Other
- • 18 pages •
Learn How to Play Piano Chords, Notes Scales
Topics include ratios, quadratics, area, graphing, trigonometry, probability, exponential equations, logarithms, and more.
Topics include ratios, quadratics, area, graphing, trigonometry, probability, exponential equations, logarithms, and more.
- Interview
- • 13 pages •
Topics include ratios, quadratics, area, graphing, trigonometry, probability, exponential equations, logarithms, and more.