**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

Join more than 18,000+ college students at University of California - Los Angeles who use StudySoup to get ahead

##### 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

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