Math 22 - Summer 2012

Dartmouth College

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The latest homework will always appear on top.

The homework consists of the following:

  • Daily reading homework due at the beginning of class.
  • Weekly written assignments as indicated below.

    The lecture notes distributed in class can be found here: Lecture Notes

    Please hand-in a separate set for each day.

    I distributed the following guide to writing proofs in class, here it is: On Writing Proofs

    Monday, August 20:
    • Practice problems for Sec. 7.4 # 5, 7, 9, 11, 13, 15
      Final is on Sunday August 26 in KH 008 at 11:30 AM
    Thursday, August 16:
    Wednesday, August 15:
    • Read
      Review all the definitions.
    • Graded assignment  (for Monday, August 20)
      Final Assignment: Proof Problems
    Monday, August 13:
    • Read
      Sections 7.1
    • Practice problems  
      7.1: # 12, 25, 26, 27
    • Graded assignment  (for Monday, August 20)
      7.1: # 18, 22, 28, 30, 32
    Friday, August 10:
    • Read
      Sections 6.4
    • Practice problems  
      6.4: # 13, 17, 18, 19
    • Graded assignment  (for Monday, August 20)
      6.4: # 6, 10, 16, 20, 22
    • Problems on PageRank: Extra Exercises
    Thursday, August 9:
    Wednesday, August 8:
    • Read
      Sections 6.3
    • Practice problems  
      6.3: # 2, 21, 22, 23
    • Graded assignment  (for Monday, August 13)
      6.3: # 6, 10, 12, 14, 18, 20, 24
    Monday, August 6:
    • Read
      Sections 6.2
    • Practice problems  
      6.2: # 6, 23, 24, 27, 33
    • Graded assignment  (for Monday, August 13)
      6.2: # 10, 12, 14, 16, 22, 26, 28
    Friday, August 3:
    • Read
      Sections 5.3 and 6.1
    • Practice problems  
      5.3: # 26, 29
      6.1: # 6, 19, 20, 23, 25, 27
    • Graded assignment  (for Monday, August 13)
      5.3: # 28
      6.1: # 14, 24, 26, 28, 30, 31
    Wednesday, August 1:
    • Read
      Sections 5.2 and 5.3
    • Practice problems  
      5.2: # 2, 3, 6, 15, 17, 19, 21, 22
      5.3: # 4, 21, 22, 23, 24, 25
    • Graded assignment  (for Monday, August 6)
      5.2: # 12, 14, 18, 23, 24
      5.3: # 6, 12, 18
    Monday, July 30:
    • Read
      Sections 5.1
    • Practice problems  
      5.1: # 2,4,6, 8, 19, 21, 22, 23, 31
    • Graded assignment  (for Monday, August 6)
      5.1: # 10, 14, 20, 25, 27, 29
    • Additional Graded problems: Matrix of a linear transformation
    Friday, July 27:
    • Read
      Sections 4.6 and 4.7
    • Practice problems  
      4.6: # 13, 17, 18, 20, 27, 29
      4.7: # 2, 11, 12
    • Graded assignment  (for Monday, August 6)
      4.6: # 14, 16
      4.7: # 4, 6, 10, 14
    • Additional Graded problems: Rank Theorem for linear transformations
    Wednesday, July 25:
    • Read
      Sections 4.5 and 4.6
    • Practice problems  
      4.5: # 7, 8, 9, 19, 20, 25, 29, 30, 31
    • Graded assignment  (for Monday, July 30)
      4.5: # 21, 23, 26, 32
      4.6: # 2, 4, 8, 12
    Monday, July 23:
    • Read
      Sections 4.4 and 4.5
    • Practice problems  
      4.4: # 10, 11, 15, 16, 17, 19, 21, 28, 31
    • Graded assignment  (for Monday, July 30)
      4.4: # 14, 23, 24, 32
      4.5: # 6, 12, 14
    • Proof problem:  (for Monday, July 30)
      4.4: # 25
    Friday, July 20:
    • Read
      Sections 4.3 and 4.4
    • Practice problems  
      4.3: # 3,5, 10, 19, 21, 22, 23, 25, 29, 30
    • Graded assignment  (for Monday, July 30)
      4.3: # 14, 16, 31
      4.4: # 4, 8, 10, 12
    • Proof problem:  (for Monday, July 30)
      4.3: # 32
    Wednesday, July 18:
    • Read
      Sections 4.2 and 4.3
    • Practice problems  
      4.2: # 5, 7, 18, 25, 26, 33
    • Graded assignment  (for Monday, July 23)
      4.2: # 4, 10, 28, 30, 32
      4.3: # 4, 11, 23
    Monday, July 16:
    • Read
      Sections 4.1
    • Practice problems  
      4.1: # 2, 13, 23, 24
    • Graded assignment  (for Monday, July 23)
      3.2: # 33, 36
      4.1: # 8, 12, 14, 22, 32
    Friday, July 13:
    • Read
      Sections 3.1 and 3.2
    • Practice problems  
      3.1: # 4, 11, 22, 39, 40
      3.2: # 2, 4, 6, 15, 19, 27, 28, 33
    • Graded assignment  (for Monday, July 23)
      3.1: # 14
      3.2: # 8, 22, 24, 29, 31, 32
    • Proof problem:  (for Monday, July 23)
      Read the section on ``Proof by induction" on the On Writing Proofs pdf document linked above and use induction to prove that the determinant of every n X n upper triangular matrix is the product of the main diagonal entries.
    Wednesday, July 11:
    • Read
      Sections 2.2 and 2.3
    • Practice problems  
      2.2: # 7, 9, 10, 25, 26, 37
      2.3: # 3, 4, 5, 11, 12, 17
    • Graded assignment  (for Monday, July 16)
      2.2: # 21, 22, 24, 32
      2.3: # 6, 16, 18, 20
    Monday, July 09:
    • Read
      Section 2.1 and 2.2
    • Practice problems  
      2.1: # 4,7,8,12,15,16, 17-21
      2.2: # 3, 7, 9, 10, 13
    • Graded assignment  (for Monday, July 16)
      2.1: # 6, 10, 26, 33
      2.2: # 6, 16
    • Proof Problem  (for Monday, July 16)
      2.1: # 22
    Friday, July 06:
    • Read
      Section 1.9
    • Practice problems  
      1.9: # 2, 7, 9, 17, 23, 24, 36
    • Graded assignment  (for Monday, July 16)
      1.9: # 4, 8, 16, 19, 27, 35, 38
    Thursday, July 05:
    • Read
      Section 1.8
    • Practice problems  
      1.8: # 2, 7, 17, 21, 22, 23
    • Graded assignment  (for Monday, July 9)
      1.8: # 4,10, 12, 19, 31, 34
    • Proof Problem  (for Monday, July 9)
      1.8: #30
    Monday, July 02:
    • Read
      Section 1.7
    • Practice problems  
      1.7: # 9, 15-24, 31, 33-37
    • Graded assignment  (for Monday, July 9)
      1.7: # 1, 6, 27, 36, 38
      1.5: # 28,30
    Friday, June 29:
    • Read
      Sections 1.4, 1.5
    • Practice problems  
      1.4: # 6, 8, 12 23-26, 29, 30
      1.5: # 4, 14, 23, 24, 26, 34, 35
    • Graded assignment  (for Monday, July 9)
      1.4: # 14, 16, 20, 22, 32
      1.5: # 6, 18
    • Proof Problem  (for Monday, July 9)
      1.5: #25
    Thursday, June 28:
    • Read
      Section 1.3
    • Practice problems  
      1.3: # 10, 23, 25, 25
    • Graded assignment  (for Monday, July 2)
      1.3: # 12, 14, 16, 21, 29
    Wednesday, June 27:
    • Read
      Section 1.2
    • Practice problems  
      1.2: # 5, 11, 16, 19, 21, 22, 23
    • Graded assignment  (for Monday, July 2)
      1.2: # 4, 9, 24, 26, 28, 29
    Monday, June 25:
    • Read
      Section 1.1
    • Practice problems  
      1.1: # 19, 23, 24, 27, 28
    • Graded assignment  (for Monday, July 2)
      1.1: # 12, 15, 29
    • Proof Problem  (for Monday, July 2)
      Prove that (1) switching two equations and (2) replacing an equation by the sum of itself and a nonzero multiple of another equation yield equivalent linear systems to the original linear system.

    Last Updated June 25, 2012 by R.C. Orellana