PHYS 2016 Lab 2 Testing Mathematical Models I

.docx

School

University of Minnesota, Duluth *

*We aren’t endorsed by this school

Course

2016

Subject

Mathematics

Date

Apr 3, 2024

Type

docx

Pages

27

Uploaded by ColonelTarsierMaster657

Report
Lab Notes PHYS 2016 Lab 2: Testing Mathematical Models I After one team member opens this google doc and before proceeding: File - Make a copy then SHARE your copy with team members with Edit privileges: Everyone needs to be logged in to their UMN Google accounts. Lab section: Tuesday at 10am Team Members (Full Name), roles : Notetaker (Opens, shares the Google Doc): Amanda Brown Critic/Skeptic (Leads comparison of team’s data sets): Anna Serstock , Skylar Schraut Spokesperson - (will speak for the group in class discussions): Mackenzie Morgan These roles are not intended to be restrictive - everyone needs to contribute to data collection in sims, model testing, questioning, and note-taking. Activity I: A. Analyzing, linearizing data: Initial exploration of mathematical models: [Summarize reasons for making different plots for the two mathematical models, expected graph shapes, relation of model parameters to plot characteristics. Sample graphs of test test data for all three graphs (linear; semi-log, and log-log). Resulting values for A and B for the model that best describes the data. 1. POWER LAW: ln(f(x)) = ln(A) + Bln(x) EXPONENTIAL: ln(f(x)) = ln(A) + Bx 2. Power law and exponential graphs are inverses of each other so they are very easily differentiated. Therefore, we would expect the graph to curve upward and follow an exponential trend or follow the natural log trend which curves concave down while increasing upward. 3. In the power law, A is a scalar that will increase the size of the graph and B would increase the slope of the graph. This is a similar case for the exponential law but A moves the graph over to the left. Our Graphs:
Amanda: (x,y) (x,lny) (lnx,lny)
Anna Serstock: (x,y): (x, ln(y)):
(ln(x),ln(y)): Mackenzie Morgan:
Skylar Schraut: (x,y)
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help