M155Exam1summary

# M155Exam1summary - M155 Exam 1 Review Sheet 1.1 Biology and...

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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 doesn’t 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

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• Spring '08
• Johnson
• Calculus, Logic, Derivative, per capita, Discrete-time dynamical systems, Terminology Discrete-Time Dynamical, Terminology Linear Function, Terminology Cobwebbing Equilibria

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