Math 220B Linear Algebra 

Fall 2005

Text: David Lay, Linear Algebra and Its Applications, 3rd ed.

Assignments

Date Topic Text
Homework Assigned:
  • Reading notes due next class:
  •  Maple-TA questions due by 6a.m. the day of next class.
  • Written work due:
    • in draft form next class
    • in final form at beginning of the following class
    • 9/09 What is Linear Algebra? Systems of Linear Equations

    		1.1-1.2

    		 1. Complete class information form by noon Sunday
  • Read:   Note to Student, Intro to Ch. 1, Sections 1.1-1.3;
  • Write: 1.1: 1, 11, 17-19, 25,  29-31, 33;  1.2: 2, 23,24, 28 
  • Written HW Due: 9/14
    		•
     
    9/12 Vector and Matrix Equations
    Lab 1: Maple Intro. 
    		 1.3

    		 2. 
  • Read:   Review 1.3 and complete Maple-TA  2. before 6:00 a.m. Wednesday
  • Write:   Complete Lab 1and put in class drop box in L Drive;  1.2:  7, 14, 25, 27;
  • Written HW Due: 9/16
    		•
    9/14 Vector & Matrix Equations 

    		1.1-1.3

    		 3. 
  • Read:   Section 1.4.  No Maple-TA today.
  • Write:   1.3:  7, 10, 13, 18, 21, 26, 27.  Make a list (not to be handed in) of all of the concepts and definitions  in Sections 1.1-1.4
  • Written HW Due: 9/19
    • 9/16 Solutions of Linear Systems  1.4
     

    		4. 
  • Read:   Section 1.5. 
  • Write:   1.4:  4, 6, 8, 10, 12-20, 25, 36.  Complete Concept Review Sheet: Span   to hand in.
  • Written HW Due: 9/21

    • 9/19 Solutions of Linear Systems 

    		 1.5 5.
  • Read:  Section  1.6
  • Write:   1.5:  1, 6, 11, 16, 20, 22, 26; Complete Matrix Chart to hand in; 1.6: 1
  • Written HW Due: 9/23
    • 9/21 Review
    Applications of Linear Systems
    		 1.1-1.5 6.
  • Read:  Section 1.7
  • Write:   1.5:  30, 32; 1.6:  4, 5, 11 and your choice of two problems from 6, 8, 10, 12, and 14 
  • Written HW Due: 9/26

    		•
    9/23 Linear Independence   1.6-1.7 7.
  • Read:  Section 1.8; Intro to Maple and Lab 2 in the Class Folder
  • Write:   1.7:  2, 4, 10, 12, 15-20, 23, 24, 26
  • Written HW Due: 9/28

    •  
    9/26 Lab 2: Graphing Systems
    Linear Independence
    Linear Transformations 
    		 1.7
    		 8.
  • Read:  Review Section 1.8
  • Write:   1.7:  14, 30, 35, 39-42;  1.8: 2, 3, 6  Finish Lab 2 and deposit in Drop Box
  • Written HW Due: 9/30

    		•
    9/28 Linear Transformation Matrix

         		 1.8
    		 9.
  • Read:  Section 1.9
  • Write:   1.8:   7-9, 12, 17-20 25, 30, 31, 37, 39; Complete Concept Review Sheet for Linear Independence 
  • Written HW Due: 10/03
    •
    9/30 Linear Transformation Matrix 
    		 1.8 10.
  • Read:   Review Sections 1.1-1.8
  • Write:   1.8:  24, 32, 34; 1.9:  1, 2, 13-19
  • Written HW Due: 10/05
    •
     
    10/03
    		 Quiz  on 1.1-1.8



    		 1.9 11.
  • Read: Section 1.10 and start working on the Concept Review Sheet for Linear Transformations (for your own use -- not to be handed in)
  • Write: 1.9: 21-22, 25-28; Lab 3, Linear Transformations
  • Written HW Due: 10/07
    •
    10/05 Lab 3: Linear Transformations
    Linear Transformation Matrix

    		 1.10
    		 12.
  • Read:  Sections 2.1-2.2
  • Write:   1.10: 9, 11-13; Ch. 1 Supp: 17-20 
  • Written HW Due: 10/10

    		•
    10/07
    		  2.1-2  13.
  • Read: Section 2.2-2.3
  • Write: 2.1: 2, 4, 7, 8, 10, 11, 17, 27, 39, 40
  • Written HW Due: 10/12
    •
     
    10/10
    Inverses
    		14.
  • Read: Review chapter 1 for test
  • Write: 2.2: 2, 3, 6, 7, 13, 16, 18, 30, 31, 35
  • Written HW Due: 10/19
    		•
    10/12  Review
    		 2.3
    		 No HW -- Just prepare for test
    10/14 Test I -- over chapter 1

    		  Test I No HW --  Have a good break
     
    10/17  
    Fall Break    		  

    10/19 Invertible Matrices, IMT Theorem

    		 2.2, 2.3

    		 15.
  • Read: Review 2.3
  • Write: 2.3: 2, 6, 8, 5-19 (cite parts of IMT), 27;
  • Written HW Due: 10/24
    •
    10/21 The Spotted Owl again
    		   16.
  • Read: 3.1, 3.2: Complete MapleTA Assignment 16 (log in with the word "password" as your password) by 6:00 a.m. on Monday
  • Write: Spotted Owl, Part 2 instead of class -- Due Monday;   Work on Test rewrite if you got less than 90% on test.
  • Written HW Due: 10/24 for Spotted Owl
    		•
     

    10/24 Determinants  3.1, 3.2 17.
  • Read: No new reading, but Complete MapleTA Assignment 17 by 6 a.m. on Wednesday
  • Write: 3.1: 2, 4, 10, 14, 20, 22, 24, 25-32, 41, 44, 45: 3.2: 1-4
  • Written HW Due: 10/28
    •
    10/26 Determinants 3.1, 3.2 18.
  • Read: 4.1: Complete MapleTA Assignment 18
  • Write:  3.2: 15-20 31, 32, 33, 34, 39, 45(Maple); 4.1: 1, 3, 6; Explain why the second matrix conjecture we did on the board works. (i.e. det(A) = n!)
  • Written HW Due: 10/31
    •
    10/28 Vector Spaces , Null and Column Spaces 4.1-4.2 19.
  • Read: 4.2: Complete MapleTA Assignment 19
  • Write:  4.1: 2, 4, 5,  8, 9, 12-16, 21, 22, 23, 26, 27; 4.2: 2, 3, 6,
  • Written HW Due: 11/02
    •
     

    10/31 Lab 4

    		 4.1-4.2 20.

  • Read: 4.3: Complete MapleTA Assignment 20
  • Write:  4.2:  4, 5, 8, 10, 16, 17, 21, 24, 28, 31, 33*, 34*, 36* (*=optional bonus problems)
  • Written HW Due: 11/04
    •
    11/02 Row, Col Spaces, Bases

    		 4.2-4.3  21.
  • Read: 4.4 :  Complete MapleTA Assignment 21 by 6 a.m. on Friday
  • Write: 4.3: 11, 14, 16, 19, 23, 24, 29-31; Complete Lab 4
  • Written HW Due: 11/07
    		•
    11/04 Linearly Independent Sets,  Bases


    		 4.4-4.5
    		 22.
  • Read: 4.5 :  Complete MapleTA Assignment 22 by 8 a.m. on Monday
  • Write:  4.3: 9, 13, 20, 25, 33;  Subspace Worksheet
  • Written HW Due: 11/09
    • Now is the time to print and complete two Concept Review Sheets, one for Subspace and one for Basis -- don't hand in, but it will help you to do them.
     

    11/07

    		23.
  • Read: 4.6 and 4.9 : Complete MapleTA Assignment 23 by 8 a.m. on Wednesday
  • Write: 4.4: 3, 7, 10, 11, 13, 14, 18, 27, 31; 4.5: 3, 7, 11, 12, 14, 21, 25;
  • Written HW Due: 11/11
    •
    11/09

    		  24. 
  • Read: No new reading 
  • Write:  4.5: 26, 27; 4.6: 1, 4, 8, 9; 4.9: 1, 2, 4, 8; 
  • 4.4*: 23*, 24*, 25*, 26* (*=optional bonus problems)
  • Written HW Due: 11/14

    		•   
    11/11

    		25.
  • Read: Intro to Chapter 5 and 5.2 and do Maple-TA quiz 25
  • Write: 4.9: 13, 15   5.1: 2, 6, 10, 12; Eigenvector Maple worksheet in Class Folder
  • Written HW Due: 11/16
    •
     

    11/14


    		None
    11/16


    		None
    11/18 TEST II

     

    11/21 Rank, Markov Chains
    		  5.1-5.2 26.  
  • Read: None
  • Write:  5.1: 20, 23, 25, 31, 32; 5.2: 2, 8, 9, 16;
  • Written HW Due: 11/30

    		•
    11/23
    		 Thanksgiving

    11/25
    		 Thanksgiving



    11/28 Eigenvalues and Eigenvectors
    		 5.3 27.  
  • Read: 5.3 and 5.4 and do Maple-TA quiz 27
  • Write:  5.1: 38; 5.2: 25;  5.3:  2, 4, 16, 18, 20, 23, 24, 25, 27 
  • Written HW Due: 12/02


    		•
    11/30  Characteristic Equation 5.4
    		 28.  
  • Read: 5.4, 6.1: No   Maple-TA 
  • Write:  Finish Lab 6; Eigen-vector applications web search.  E-mail wallace one or two sentences describing each of 2 or more applications.  Include links to the websites.  Written HW Due: 12/05
    		•
    12/02 Diagonalization
    		 5.3
    		 29.  
  • Read: 6.2  No  Maple-TA 
  • Write:  5.4: first do 11, 13, 15, 32;  then go back and do 1,3,5,7,8 ; 6.1: 2, 5, 8, 10, 14, 20.  
  • Written HW Due: 12/07


    		•
     

    12/05 Eigenvectors and L. Transformations 5.4 30.
  • Read: 
  • Write:  
  • Written HW Due: 12/09

    		•
    12/07 Eigenvectors and L. Transformations,
    the Spotted Owl revisited

    		 5.4
    12/09 TEST III
    		  
     

    12/12 Review
    		  
    12/14 Reading Day
    		     
     

    12/19
    		Final Exam: 9:00-11:00 


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    Disclaimer


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