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Unformatted text preview: M155 Exam 1 Review Sheet 1.1 Biology and Dynamics Terminology Discrete-Time Dynamical Systems Continuous-Time Dynamical Systems Probabilistic Dynamical Systems 1.2 Variables, Parameters, and Functions in Biology Terminology Variable Parameter Relation Function Argument (Input) Value (Output) Independent Variable Dependent Variable Domain Range Commute Inverse Identify relations and functions Functions are relations where each input is associated with exactly one output Graph functions Evaluate functions using values and parameters Horizontal and vertical line test A relation is not a function if a vertical line passes through the graph more than once A function doesnt have an inverse if a horizontal line crosses a graph more than once Find inverses of functions which have them Combining functions (addition, multiplication, composition) 1.3 The Units and Dimensions of Measurements and Functions Terminology Dimensions Units Conversion Factors Fundamental Relations Scaling Shifting Convert between units using conversion factors Translate between dimension using fundamental relations Compare two values with different units and dimensions Composing functions with dimensions Scaling functions Multiply the output by a value to scale vertically Multiply the input by a value to scale horizontally Shifting functions Add a value to the output to shift vertically Add a value to the input to shift horizontally 1.4 Linear Functions and Their Graphs Terminology Linear Function Interpolate Proportional Relation...
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