Schedule of Topics through Test III (4/19)

The problems listed are for practice only. The bracketed problems indicate problems of fundamental importance.
  • 4.3 (3/27)
    • Terms: inner product, length, angle, orthogonal
    • Theorems: 4.3, Cor 4.1, 4.4
    • Examples: 1-6, 8-14
    • Problems: 2-6, 10-16, 19, 23, 31-33, 35 [5, 12, 16, 23]
  • 4.5 (3/29)
    • Terms: orthonormal, orthogonal complement, orthogonal projection
    • Theorems: 4.9, 4.10, 4.11, 4.12, 4.13
    • Examples: 1-7
    • Problems: 1, 2, 4-6, 8-11, 13, 19, 20 [4, 6, 8, 13, 19]
  • 4.4 (4/3)
    • Terms: Gram-Schmidt orthonormalization
    • Theorems: 4.5, 4.6, 4.7
    • Examples: 1-3
    • Problems: 1, 2, 4-13 [5, 11]
  • 4.5 (4/3)
    • Terms: fourier polynomial
    • Examples: 8
    • Problems: 22, 23
  • 4.3 (4/5)
    • Terms: symmetric matrix, positive definite
    • Theorems: 4.2
    • Examples: 7
    • Problems: 25, 45
  • 7.1, 7.2, 7.4, 7.6 (4/5, 4/10)
    • Terms: diagonalizable, eigenvalue, eigenvector, orthogonal matrix
    • Theorems: 7.7, 7.8, 7.14 (weak form)
    • Examples: 7.1 #1-5, 8
  • 6.2 (4/12)
    • Terms: determinant
    • Theorems: 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, Cor 6.1, Cor 6.2, 6.9, Cor 6.3, Cor 6.4
    • Examples: 3, 4, 6, 8
    • Problems: 1-5, 7, 24, 25, 27
  • 7.1, 7.2, 7.4, 7.6 (4/17)
    • Terms:
    • Theorems: 7.1, 7.3, 7.4, 7.5, 7.6, 7.9, 7.14
    • Examples: 7.2 #2-7; 7.4 #1, 4, 5
    • Problems: 7.1 #2, 3, 8, 14, 15, 17, 18, 20-22

OU Math Dept OU Last Modified 2nd Apr 07