Numerical Analysis Daily Schedule Term 3

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See also: Daily Schedule Term 2

Week 8 — Best Fits of Various Types (Linear, Exponential, Logarithmic, Power Law)

• Tuesday, Oct. 25 — Theory of Exponential Best Fit, Logarithmic Best Fit, and Power Law Best Fit — Discussion of pp. 9-30 of Bill & Dave
• Preparation for Friday, Oct. 28 — Read Applications Programs material on Exponential and Logarithmic Best Fit — pp. 31-47 of Bill & Dave
• Friday, Oct. 28 — Course Evaluation Discussion — Developing r-squared intuition

Week 9 — Distributions and Statistical Tests

Friday’s class canceled due to COVID outbreak (make-up Nov. 20)

• Preparation for Tuesday, Nov. 1 — Problem Set 7 on Standard Deviation and r-Value — Study Covariance and Correlation Coefficient pp. 101-102 of HP-25 Applications Programs — Finish Chapter 2 (“Apprentices”) pp. 47-69 of Bill & Dave

Week 10 — Distributions and Statistical Tests, Continued

• Preparation for Tuesday, Nov. 8 — Problem Set 8 on Uniform and Binomial Distributions
• Tuesday, Nov. 8 — The Binomial Distribution
• Preparation for Friday, Nov. 11 — Study the t-Test (from JMP (maker of SAS)) and the program on pp. 121-123 of the HP-25 Applications Programs book — Type in the program and do the example on p. 123 to make sure it works
• Friday, Nov. 11 — Discussion of paired t-Test

Week 11 — Statistical Tests, Concluded — Numerical Methods: Root Finding (Newton’s Method)

• Preparation for Tuesday, Nov. 15 — Problem Set 9 — Study the χ-Squared Test (also from JMP (maker of SAS)) and the program on pp. 118-120 of the HP-25 Applications Programs book — Type in the program and do the example on p. 120 to make sure it works
• Tuesday, Nov. 15 — Discussion of χ-squared Test
• Friday, Nov. 18 — Class will prepare for and lead discussion of Newton’s method — pp. 71-99 of Bill & Dave (which takes us well into WWII)

Week 12 — Numerical Methods: Differential Equations (Euler’s Method)

Makeup class on Sunday before Thanksgiving

• Sunday, Nov. 20 — A look at some historical materials (calculators, Scientific American)
• Preparation for Tuesday, Nov. 22 — In Chapter 5, study the program on pp. 83-84 — Problem Set 10
• Tuesday, Nov. 22 — Discussion of differential equations and the theory of Euler’s method.

Week 13 — Numerical Methods: Integration (Simpson’s Rule)

• Tuesday, Nov. 29 — Introduction to Integrals and Simpson’s Rule
• Preparation for Thursday, Dec. 1 — Complete Problem Set 11 on differential equations
• Thursday, Dec. 1 — Proof of Simpson’s Rule (Brian and Brandon) — Applications of Simpson’s Rule

Week 14 — Term 3 Exam — Start Special Projects

• Tuesday, Dec. 6 — Term 3 Exam (directions follow)
  • There will be three problems. (In class I said four and that you would pick three of the four, but I am just going to make it three because I have not been creative enough to come up with four good problems.)
  • The first problem will be a statistics problem. Come to the exam with the power curve fit program on p. 99 already typed in. Make sure your program works on HP’s example on p. 100.
  • The second problem will be another differential equation problem using Euler’s method.
  • The third problem will use the parabola fit ideas we developed in Friday’s class, but you don’t have to study the theory, because I will have exactly the theory you need all written up. It might help to review the linear interpolation program on p. 85.
• Friday, Dec. 9 — Choose, discuss, and get started on special projects

Week 15 — Present Special Projects

Special Projects: Choose a program we have not worked through or extend a program that we have already worked through. Explain the theory. Illustrate it with examples. Prepare 15-minute presentations for the last day.

• Tuesday, Dec. 13 — Special Project presentations