Starting this Monday, we will review.

Final Topics

Topics marked [CERTAIN] are certain to show up on the final.

Topics for the final are:

• Polynomial Interpolation:
  • Newton’s Interpolation (only) [CERTAIN]
• Derivation & Integration: [CERTAIN ONE OF THESE, INTEGRATION OR DERIVATION]
  • Richardson’s
  • Romberg’s (MOST-LIKELY
• Least-Squared Approximation [CERTAIN]
• Monte-Carlo Integration [CERTAIN]
• Taylor Series (covered by below)
• IVP
  • Euler’s Method [CERTAIN]

Questions

There will be five questions.

• Euler’s we won’t need to find the solution.
• The basis of LSQA will be 4x4
• Monte Carlo we’ll be given a set of points and random numbers to use.
• We’ll do ten iterations of Euler’s/

Format

Calculator: If we have programmable calculator, you must still show steps.

• It IS valid to use the calculator to solve the matrix in LSQA in one-step.

Time: 1h 50m

Flashcard: A 4x6 flashcard with formulae; both sides.

• ONLY formulae; no examples.

Will be pair-based.

• Crud I don’t know anyone in this class :sob:

Polynomial Interpolation