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UCLA - LIFESCI 30 - Life Sci 30A Week 1 Notes - Class Notes

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background image 1.1 -- Feedback    - time series ​: a graph that shows how quantities change over time  - feedback loop ​: the current state of a system affects the future state of that system by  changing the inflows and outflows of the system’s components  - positive feedback ​: positive value of a variable leads to an increase in that  variable, and a negative value of a variable leads to a decrease  - negative feedback ​: positive value of a variable leads to a decrease in that  variable, and a negative value of that variable leads to an increase in that variable  - This can be represented by B = D - B 0 , where B is the discrepancy, D is  the current value, and B 0  is the set point  - dynamical system ​: refers to any system in the real world in which some quantity is  changing over time  - state variables ​: functions of time  - Lotka-Volterra model ​: a pair of nonlinear differential equations used to describe  dynamics of biological systems (e.g., predator-prey interactions)   
 
1.2 -- Functions    - function ​: a relationship between a set of inputs and a set of outputs in which each input is  assigned exactly one output  - linear interpolation ​: straight lines are drawn between data points  - domain ​: set of input values that a function can accept  - real numbers (R) ​: whole numbers, fractions, irrational numbers, and the negative values  of these   - R + ​ ​ : non-negative real numbers (0 and greater)  - codomain ​: set of values in which a function’s output lies  - composition of functions ​: one function is made up of two previous functions linked end  to end  - f: X → Y and g: Y → Z   - g   f : X → Z, also written as g(f(x))  - set ​: contains a series of mathematical values  - expressed using curly brackets {}  - Z ​: integers (whole numbers)  - Z +  : integers greater than 0  - image (AKA range) ​: set of all values that f(x) actually takes, subset of the codomain  - one-to-one function ​: two inputs lead to the same output 

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School: University of California - Los Angeles
Department: Life Science
Course: Life Sciences 30A - Mathematics for Life Scientists
Professor: W.j. Conley
Term: Winter 2019
Tags: Math and Life Science
Name: Life Sci 30A Week 1 Notes
Description: These notes cover what was discussed in class during Week 1. The material covered includes sections 1.1, 1.2, and 1.3 in the textbook.
Uploaded: 01/09/2019
2 Pages 74 Views 59 Unlocks
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School: University of California - Los Angeles
Department: Life Science
Course: Life Sciences 30A - Mathematics for Life Scientists
Professor: W.j. Conley
Term: Winter 2019
Tags: Math and Life Science
Name: Life Sci 30A Week 1 Notes
Description: These notes cover what was discussed in class during Week 1. The material covered includes sections 1.1, 1.2, and 1.3 in the textbook.
Uploaded: 01/09/2019