Advisor Information

• Advisor: Dr. Doreen De Leon
• Office: PB 350
• Office telephone: (559) 278-4009
• Office hours: MW 11:30-12:30 p.m., TTh 3-4 p.m., or by appointment.

Meeting Information

• Meeting times: TuTh 5-6 p.m., F 3-4 p.m. in S2 209

Announcements

LaTeX Information

• Getting started with LaTeX on a Mac
• Getting started with LATEX with Windows
• Sample LaTeX file: Sample LaTeX article
• LaTeX References
  • The Not So Short Introduction to LaTeX
  • Math into LaTeX: An Introduction to LaTeX and AMS-LaTeX, A Short Course
  • LaTeX Mathematical Symbols (also in the above e-books)

Mathematics Presentations

• Effective Presentations
• How to Give a Good Math Talk
• Sample Beamer presentation (.tex file): Euler-Cauchy Using Undetermined Coefficients
• Sample Beamer presentation (.pdf file): Euler-Cauchy Using Undetermined Coefficients

Writing a Mathematics Paper

A guide the to structure and basic content of a mathematical research paper may be found at Writing a Mathematics Research Paper.

Maple Information

• Short Introduction to Maple - Maple file
• Short Introduction to Maple - .pdf version

Reading Assignments

• 08-21-14: Read Introduction to Modeling and to p. 4 of Discrete Models
• 08-22-14: Finush Discrete Models.
• 08-26-14: Review Short Introduction to Maple, drugdosage.mw, discrsir.mw, graphicalequilib.mw, and stability_drug.mw. Read Modeling with First-Order ODEs.
• 08-28-14: Read Modeling with Systems of Equations. Review Maple worksheets: modelfirstorddes.mw and syslineq.mw.
• 08-29-14: Read Modeling with Systems of Differential Equations. Review Maple worksheets stability_eigs.mw and stability_phase_port.mw.
• 09-02-14: Read Model Fitting handout. Review Maple worksheet regression.mw.
• 09-05-14: Read Population Models with Stochastic Birth Processes

Written/Programming Assignments

• 08-29-14: Assignment #1
  
  • Assignment #1 - Written Solutions
  • Assignment #1 - Maple Solutions
  • Assignment #1 - Maple Solutions (.pdf)
• 09-02-14: Assignment #2
• Assignment #2 - Written Solutions
• Assignment #2 - Maple Solutions
• Assignment #2 - Maple Solutions (.pdf)
• 09-05-14: Assignment #3

Handouts

• Expectations for CURM
• Students Doing Undergraduate Research

Notes

• Introduction to Modeling
• Discrete Models
• Modeling with First-Order ODEs
• Modeling with Systems of Equations Using Linear Algebra Techniques
• Modeling with Systems of Differential Equations
• Model Fitting
• Discrete Probability Modeling
• Population Models with Stochastic Birth Processes
• Introduction to Stochastic Population Models

Maple Examples

• Drug dosage example (discrete model)
  • Maple worksheet: drugdosage.mw
  • .pdf version of worksheet: drugdosage.pdf
• Modeling with nonlinear discrete systems example
  • Maple worksheet: discrsir.mw
  • .pdf version of worksheet: discrsir.pdf
• Graphical equilibrium
  • Maple worksheet: graphicalequilib.mw
  • .pdf version of worksheet: graphicalequilib.pdf
• Stability and long-term behavior
  • Maple worksheet: stability_drug.mw
  • .pdf version of worksheet: stability_drug.pdf
• Modeling with First-Order Differential Equations
  • Maple worksheet: modelfirstorddes.mw
  • .pdf version of Maple worksheet: modelfirstorddes.pdf
• Modeling with Systems of Equations
  • Maple worksheet: syslineq.mw
  • .pdf version of Maple worksheet: syslineq.pdf
• Modeling with Systems of Differential Equations
  • Stability using Linearization
    • Maple worksheet: stability_eigs.mw
    • .pdf version of Maple worksheet: stability_eigs.pdf
  • Stability via Phase Portraits
    • Maple worksheet: stability_phase_port.mw
    • .pdf version of Maple worksheet: stability_phase_port.pdf
  • Bonus example: Mathematical Epidemiology (Maple worksheet)
• Model Fitting - Regression
  • Maple worksheet: regression.mw
  • .pdf version of worksheet: regression.pdf -- Note that some of the plots did not export correctly.
• Modeling with Discrete Probability
  • Maple worksheet: discrprobabex.mw
  • .pdf version of Maple worksheet: discrprobabex.pdf