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Daily Homework - be prepared to discuss the following:

Oral Presentations

• Lesson 1: Download R, Jupyter Notebook
• Lesson 2: Ch1: 1,2,3
• Lesson 3: Ch1: 4,5,6
• Lesson 4
  • Write a function for the bisection method (see p63 in Meerschaert) in R
  • Use the "Announcements" page and create your own R package with fprime, bisection, and newton in it.
  • Ch1: 7, 8
• Lesson 5:
  • Use p63 in Meerschaert for Newtons Method
  • Write a function for the gradient (see R notebook for assistance)
  • Ch2: 1,3
• Lesson 6:
  • Ch2: 5, 7
  • Create a GitHub account - this is where you will store your R files: https://github.com/
• Lesson 7:
  • install.packages("MASS") and install.packages("NlcOptim")
  • Documentation: https://cran.r-project.org/web/packages/NlcOptim/NlcOptim.pdf
  • Ch2: 6, 8
• Lesson 8:
  • install.packages("lpSolve") - use lpSolve on #10
  • https://cran.r-project.org/web/packages/lpSolve/lpSolve.pdf
  • Ch2: 9, 10a
• Lesson 9:
  • Solve the problems at the end of the R Notebook
• Lesson 10:
  • Solve the problems at the end of the R Notebook
• Lesson 11: WPR #1
• Lesson 12:
  • Ch4: 1,2,4
• Lesson 13:
  • Go through examples in the book
  • Read and Understand code from R notebook
• Lesson 14: Ch4: 5,8
• Lesson 15: Ch4: 10, 11
• Lesson 16: Ch5: 1, 2, 5
• Lesson 17: Ch5: 7, 8, 12, 13 (leave out phase portrait parts of the questions)
• Lesson 18:
  • As a part of the project, create R code that will produce a phase portrait (read Section 5.3 in the book). Input: 2D system of differential equations (in the form of a vector function) and limits on x1/x2; output - something similar to Figure 5.10 on page 156. This code will be an annex in your project write-up. There is no exact right answer for how you accomplish this or what the phase portrait will look like.
  • Let me know who you are working with on the project (teams of 2).
• Lesson 19:
  • Ch6: 1, 2, 3, 4
• Lesson 20:
  • Ch6: 6, 7, 8
• Lesson 21: Download MS Teams on your computer if needed (O365 account should be good enough if you don't have your USMA computer).
• Lesson 22:
  • Ch6: 11, 21, 22
• Lesson 23: Project #

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• Week1 (due 27Mar): Ch7: 5, 6, 11
  • Lesson 24, 25
• Week2 (due 3 Apr):
  • Finish the Project
• Week3 (due 10 Apr):
  • Lesson 26, 27 (Choose 2 problems from Ch8:1, 2, 3, 5); Lesson 28, 29 (Choose 2 problems from 8, 10, 11)
• Week4 (due 17 Apr):
  • Lesson 30: Ch8: 17
  • Lesson 31: Ch9: 1, 2, 3
• Week5 (due 24 Apr):
  • Lesson 33, 34: Choose 2 from Ch9: 4, 7, 11, 12,
• Lesson 40: Project Write-up Due (To be determined)