Math 22: Linear Algebra with Applications

Fall 2015

Syllabus


  • The latest homework will always appear on top.

  • If you are interested in learning to typeset mathematics here is a list of resources compiled by Prof. Weber on LaTex

    Tutorials

    Angelica Babei will be available for tutorials this term. The tutorials are Tuesdays, Thursdays and Sundays 7:00 - 9:00 PM. She will be in room KH 105.

    Homework assignments

  • Late Homework will not be accepted.
  • Write the names of the people with whom you worked on the homework.
  • Please make sure that what you turned in for homework is your own understanding of how to do the problems.

    Graded assignments: These problems will graded in detail.


    Week 10
    Friday, Nov. 20:
    • Final Exam at 3PM in Dartmouth 105
    Monday, Nov. 16:
    • Review
    • Study for the final!

    Week 9
    Friday, Nov. 13:
    Thursday, Nov. 12:
    Wednesday, Nov. 11:
    Monday, Nov. 9:

    Week 8
    Friday, Nov. 6:
    Thursday, Nov. 5:
    • Read: Section 4.9 and article on PageRank
    • Practice problems  
      4.9 # 2, 12
    • Graded assignment  (for Wednesday, Nov. 11)
      7.1 # 28, 30, 32
      4.9 # 10, 18, 19, 20
    Wednesday, Nov. 4:
    Monday, Nov. 2:

    Week 7
    Friday, Oct. 30:
    • Slides (For 10 Section): Gram-Schmidt
    • Read: Section 6.4
    • Practice problems  
      6.3 # 2, 21, 22, 23
    • Graded assignment  (for Thursday, Nov. 5)
      6.3 # 6, 10, 12, 14, 18, 20, 24
    Thursday, Oct. 29:
    • Slides (For 10 Section): Orthogonal Projections
    • Read: Section 6.3
    • Practice problems  
      6.2 # 6, 23, 24, 27, 33
    • Graded assignment  (for Thursday, Nov. 5)
      6.2 # 10, 12, 14, 16, 22, 26, 28
    Wednesday, Oct. 28:
    • Slides (For 10 Section): Orthogonal Sets
    • Read: Section 6.2
    • Practice problems  
      5.3 # 26, 29
      6.1 # 6, 19, 20, 23, 25, 27
    • Graded assignment  (for Thursday, Nov. 5)
      5.3 # 28
      6.1 # 14, 24, 26, 28, 30, 31
    Monday, Oct. 26:

    Week 6
    Friday, Oct. 23:
    • Slides (For 10 Section): Diagonalization
    • Read: Section 5.2 & 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 Wednesday, Oct. 28)
      5.2: # 14, 18, 24
      5.3: # 6, 12, 16, 18
    Thursday, Oct. 22:
    • Slides (For 10 Section): Finding Eigenvalues
    • Read: Section 5.2
    • Practice problems  
      5.1: # 2,4,6, 8, 19, 21, 22, 23, 31
    • Graded assignment  (for Wednesday, Oct. 28)
      5.1: # 10, 14, 20, 25, 27, 29
      5.2: # 12
    Wednesday, Oct. 21:
    Monday, Oct. 19:

    Week 5
    Friday, Oct. 16:
    • Slides (For 10 Section): Change of Coordinates
    • Read: Section 4.7
    • Practice problems  
      4.5: # 7, 8, 9, 19, 20, 21, 23, 25, 29, 30, 31
    • Graded assignment  (for Wednesday, Oct. 21)
      4.5 # 22, 24, 26, 32
      4.6 # 2, 4, 8, 12
    Thursday, Oct. 15:
    • Read: Section 4.6
    • Practice problems  
      4.4: # 10, 11, 15, 16, 17, 19, 21, 28, 31
    • Graded assignment  (for Wednesday, Oct. 21)
      4.4 # 14, 23, 24, 32
      4.5 # 6, 12, 14
    Wednesday, Oct. 14:
    • Slides (For 10 Section): Rank
    • Read: Section 4.5
    • Practice problems  
      4.3: # 3, 5, 19, 21, 22, 23, 25, 29, 30
    • Graded assignment  (for Wednesday, Oct. 21)
      4.3 # 14, 31, 32
      4.4 # 4, 8, 10, 12
    Monday, Oct. 12:
    • Slides (For 10 Section): Dimension
    • Read: Section 4.4

    Week 4
    Friday, Oct. 9:
    • Slides (For 10 Section): Coordinates
    • Read: Section 4.3
    • Practice problems  
      4.2: # 5, 7, 18, 25, 26, 33
    • Graded assignment  (for Wednesday, Oct. 14)
      4.2 # 4, 10, 28, 30, 32
      4.3 # 4, 10, 16
    Thursday, Oct. 8:
    • Slides (For 10 Section): Basis
    • Read: Section 4.2 and 4.3
    • Practice problems  
      4.1: # 2, 13, 23, 24
    • Graded assignment  (for Wednesday, Oct. 14)
      3.2 # 33, 36
      4.1 # 8, 12, 14, 22, 32
    Wednesday, Oct. 7:
    Monday, Oct. 5:

    Week 3
    Friday, Oct. 2:
    • Slides (For 10 Section): Determinants
    • Read: Section 3.1 and 3.2
    • Practice problems  
      2.2: # 7, 9, 10, 25, 21, 26, 37
      2.3: # 3, 4, 5, 11, 12, 17
    • Graded assignment  (for Wednesday, Oct. 7)
      2.2: # 22, 24, 32
      2.3: # 6, 16, 18, 20
    Thursday, Oct. 1:
    • Slides (For 10 Section): Characterization of Invertible Matrices
    • Read: Section 2.2 and 2.3
    • Practice problems  
      2.1: # 4,7,8,12,15,16, 17-21
      2.2: # 3, 7, 9, 10, 13
    • Graded assignment  (for Wednesday, Oct. 7)
      2.1: # 6, 10, 22, 26, 33
      2.2: # 6, 16
    Wednesday, Sept. 30:
    • Slides (For 10 Section): Inverse of a Matrix
    • Read: Section 2.1 and 2.2
    • Practice problems  
      1.9: # 2, 7, 9, 17, 23, 24, 36
    • Graded assignment  (for Wednesday, Oct. 7)
      1.9: # 4, 8, 16, 19, 27, 35, 38
    Monday, Sept. 28:

    Week 2
    Friday. Sept. 25:
    • Slides (For 10 Section): The Matrix of a Linear Transformation
    • Read: Section 1.8 and 1.9
    • Practice problems  
      1.8: # 2, 7, 17, 21, 22, 23
    • Graded assignment  (for Wednesday, Sept. 30)
      1.8: # 4,10, 12, 19, 30, 31, 34
    Thurs. Sept. 24:
    • Slides (For 10 Section): Intro to Linear Transformations
    • Read: Section 1.7 and 1.8
    • Practice problems  
      1.7: # 9, 15-24, 27, 31, 33-37
    • Graded assignment  (for Wednesday, Sept. 30)
      1.5: # 28, 30
      1.7: # 1, 6, 28, 36, 38
    Wed. Sept. 23:
    • Slides (For 10 Section): Linear Independence
    • Read: Section 1.4, 1.5 and 1.7
    • Practice problems  
      1.4: # 6, 8, 12 23-26, 29, 30
      1.5: # 4, 14, 23, 24, 26, 34, 35
    • Graded assignment  (for Wednesday, Sept. 30)
      1.4: # 14, 16, 20, 22, 32
      1.5: # 6, 18, 25
    Mon. Sept. 21:

    Week 1
    Fri. Sept. 18:
    • Slides (For 10 Section): Vector Equations
    • Read: Section 1.3
    • Practice problems  
      1.3: # 10, 23, 25, 29
    • Graded assignment  (for Wednesday, Sept. 23)
      1.3: # 12, 14, 16, 21
    Thurs. Sept. 17:
    • Slides (For 10 Section): Row Reduction and echelon forms
    • Read: Section 1.2
    • Practice problems  
      1.2: # 5, 11, 16, 19, 21, 22, 23
    • Graded assignment  (for Wednesday, Sept. 23)
      1.2: # 4, 11, 24, 26, 28, 29
    Wed. Sept. 16:
    • Slides (For 10 Section): Systems of Linear Equations
    • Read: Section 1.1
    • Practice problems  
      1.1: # 19, 23, 24, 27, 28, 29
    • Graded assignment  (for Wednesday, Sept. 23)
      1.1: # 12, 16, 25, 26


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