Reading Assignment:

• Read Section 1.9 for Monday, April 21.
• Read Sections 1.10 and 1.11 for Wednesday, April 23.
• Review Chapter 1, Sections 1.1 through 1.11 for the exam on Monday, April 28.

Homework Assignment:

• Section 1.9 Page 93, problems 1--30 all multiples of 3. Due Monday, April 21.
• Section 1.10 Page 103, problems 1--36 all multiples of 3, 38, 39, *44--*49. Due Wednesday, April 23.
• Section 1.11 Page 112, problems 3, 9, 11, 12, 15, 16, 18, 21, 22, 23. Due Friday, April 25.

Vocabulary List:

• Section 1.9:
  • interpolating polynomial
  • Vandermonde matrix
• Section 1.10:
  • identity matrix
  • inverse matrix
• Section 1.11:
  • Theorem 22

Key Concepts:

• Section 1.9:
  • Polynomial Interpolation
  • Initial Value Problems
  • Numerical Integration
  • Numerical Differentiation
• Section 1.10:
  • the inverse matrix
  • algebraic properties of the inverse
  • the use of the inverse in linear systems
• Section 1.11:
  • the relationship between nonsingularity, linear independence, uniqueness of solutions, and the existence of the inverse
  • computation of the inverse

Skills to Master:

• Setting up and solving interpolation problems
• Computing weights for integration and differentiation
• computation of the inverse

Quiz:

• This quiz is based on the vocabulary and homework for sections 1.9, 1.10 and 1.11.

MIDTERM EXAM

This is a comprehensive examination on all of Chapter 1.