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

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern