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MATH 221 Matrix Algebra Section 201 MWF 3pm-4pm

Instructor: Nguyen Hoang Lam                            Instructor in Charge: Kai Behrend (behrend@math.ubc.ca)
Lecture times and locations: MWF 3-4 at Leonard S. Klinck (also known as CSCI) 201 
Contact: nlam@math.ubc.ca
Office Hours: Wednesday and Friday: 4pm-5:30pm at LSK 300C + by appointment + via email

Announcements:
  • NEW!!! The April Final Exam Schedule is available now. You are responsible for being at UBC for all your final exams. If you have an exam hardship (3 exams within 24 hours) or an exam conflict, please email or see Margaret Ness <ness@math.ubc.ca>
  • Midterm Exam II office hours: Monday 03/13: 4pm-5:30pm+; Tuesday 03/14: 2pm-5:30pm+; 
  • Your midterm exam 1 grade is now on Connect. You can pick up your exam in class or during my office hours
  •  1/ In each quiz and midterm exam, your grades will be scaled up such that at least one of the students gets 100%.
    2/ If your final exam is better (in %) one of the midterm exams, it will be used to replace for your lowest midterm exam.
  • Wednesday 02/15: Quiz 1-9 are now available to pick up at MLC. You have 2 weeks to pick up your quiz. 
  • The math department offers free drop-in tutorials for Math 221 at MLC.
  • Solution of the 4th ed. of the textbook
  • Linear Algebra Toolkit
  • Webwork: This links to additional practice problems which are marked online. The webwork problems do not cover every single type of problem you may encounter on an exam. These problems are entirely voluntary, markes will not contribute to your course grade.

Final Exam: Tuesday, April 25 12:00-14:30. The final exam covers the whole course.
2015WT1 Final Exam Sol: P1-P7 + P8-P11


Syllabus: The following is the list of all sections of the textbook which you are responsible for on the final exam. The notes on vectors, coordinates, and dynamical systems + solutions, may help with understanding some of the material from the textbook, but are not required reading.
Textbook: Linear algebra and its applications, by David Lay (Third Custom Edition for UBC)

 1.1 Systems of linear equations  3.1 Introduction to determinants
 1.2 Row reduction and echelon forms      3.2 Properties of determinants
 1.3 Vector equations       4.1 Eigenvectors and eigenvalues
 1.4 The matrix equation Ax = b                 4.2 The characteristic equation
 1.5 Solution sets of linear equations  4.3 Diagonalization
 1.6 Applications of linear systems (skip chemical equations)  4.4 Eigenvectors and linear transformations
 1.7 Linear independence     4.6 Discrete dynamical systems
 1.8 Introduction to linear transformations    5.1 Inner product, length, and orthogonality
 1.9 The matrix of a linear transformation       5.2 Orthogonal sets
 2.1 Matrix operations       5.3 Orthogonal projections
 2.2 The inverse of a matrix (skip elementary matrices)  5.5 Least-square problems
 2.3 Characterizations of invertible matrices  
 2.5 Subspaces of Rn  
 2.6 Dimension and rank  


Marking: Your final grade will be based on the quizzes, two midterm exams and the final exam: 

 Quizzes: 10%  Midterm 1: 20%  Midterm 2: 20%  Final: 50%
      
                 
The following applies to all quizzes and exams in Math 221: No aids of any kind: no calculators, no notes, no books. No cell phones, no ipods, no electronic devices of any kind. 

If you miss one of the midterm exams for medical reasons, you need to promptly inform the instructor, and provide a physician's note specifically stating that you were medically unfit to write the missed exam on that day. No make-up exams will be given. Your grade will be based on the other course components.
NEW!!! 1/ In each quiz and midterm exam, your grades will be scaled up such that at least one of the students gets 100%.
2/ If your final exam % is better one of the midterm exams, it will be used to replace for your lowest midterm exam.

Homework: No Homework will be collected. 
Here are the lists of problems you should do to prepare for the quiz or exam in question. You are strongly urged to complete all these practice problems, at a minimum. Doing more problems from the book will be helpful as well.
Solution of the 4th ed. of the textbook
 Section 1.1:  11-31  Section 1.2: 1-31  Section 1.3: 1-26  Section 1.4: 1-36   Section 1.5: 1-24  Section 1.7: 1-40
 Section 1.8:  3,5,9,11,13-16,18,27,31,32-35  Section 1.9:  1-6,9,10,12,17,19,25,27,28  Section 2.1: 1-21  Section 2.2: 1-10, 29-34  Section 2.3: 1-8, 13, 17, 21, 23, 27, 33  Section 2.5: 1-26
 Section 2.6: 1, 2, 3, 5, 7, 9, 11, 13, 14  Section 3.1: 1-18  Section 3.2: 1-28.  Section 4.1: 1-22  Section 4.2: 1-18, 25, 27  Section 4.3: 1-20, 24, 25, 29, 32
 Section 4.4: 1, 2, 3, 4, 8, 11, 12, 13-18  Section 4.6: 1-8, 15, 17, 18
Notes on dynamical systems: 1.1-1.5, 1.8, 1.9
 Section 5.1: 1-31  Section 5.2: 1-34  Section 5.3: 1-24 Section 5.5: 1-25
Section 1.6: 
1-5, 12-15

Webwork: This links to additional practice problems which are marked online. The webwork problems do not cover every single type of problem you may encounter on an exam. These problems are entirely voluntary, markes will not contribute to your course grade.

Quizzes: There will be 12 quizzes: in-class (15-minute) + 5 take-homeWhen computing your quiz score, the two lowest scores will be dropped. No further concession will be made, for any (including medical) reasons. 
 Quiz 1 Fri, Jan 13  In-class: 2 problems in 15 minutes
 Quiz 1 Solution
Section 1.1+1.2+1.3 Practice 1 (Solution)+ Practice 2 (Solution)
Section 202 Quiz 1 + Section 203 Quiz 1Section 204 Quiz 1
 Quiz 2 Fri, Jan 20  In-class: 3 problems in 15 minutes
 Quiz 2 Solution
Up to and including Section 1.7
Practice 1 + Practice 2 + Practice 3 + Solutions
Section 202 Quiz 2 + Section 203 Quiz 2 + Section 204 Quiz 2
 Quiz 3 Fri, Jan 27  In-class
Quiz 3 Solution
Up to and including Section 1.9 Practice 1 (skip #14) + Solution (Solution for #13Section 1.7+1.8+1.9+2.1 HW Solutions
Section 203 Quiz 3 + Section 204 Quiz 3
+ you can work on Exercises in textbook (with 
solutions)
+ you can also create your own questions using this toolkit
 Quiz 4 Fri, Feb 3  Take-home Quiz 4
Please box/highlight your answers 
Quiz 4 Solution
 Deadline: Mon, Feb 6 @ 3:55pm @ LSK 201
Solution for Quiz 4 will be posted on Monday at 5pm (so please take a picture of your work to compare with my solution)
 Quiz 5 Fri, Feb 10  Take-home Quiz 5 + Solution  Deadline: Wed, Feb 15 @ 3:55pm @ LSK 201
 Quiz 6 Fri, Feb 17  In-class Solution  Up to and including Section 3.2: Practice 1 + Practice 2 + Solutions
 Quiz 7 Fri, Mar 3  In-class Solution  Up to and including Section 4.2: P1 (Sol)+ P2 (did solve in class)
 Quiz 8 Fri, Mar 10  Take-home Quiz 8 + Solution  Deadline: Mon, Mar 13 @ 3:55pm @ LSK 201
 Quiz 9 Fri, Mar 17  Take-home Quiz 9  Deadline: Mon, Mar 20 @ 3:55pm @ LSK 201
 Quiz 10 Fri, Mar 24  Take-home Quiz 10 + Solution  Deadline: Wed, Mar 29 @ 3:55pm @ LSK 201
 Quiz 11 Fri, Mar 31  Take-home Quiz 11  Deadline: Mon, Apr 3 @ 3:55pm @ LSK 201
 Quiz 12 Mon, Apr 3  Take-home  Deadline: ???

Midterm Exams: There will be 2 in-class (50-minute) midterm exams. If you miss one of the midterm exams for medical reasons, you need to promptly inform the instructor, and provide a physician's note specifically stating that you were medically unfit to write the missed exam on that day. No make-up exams will be given. Your grade will be based on the other course components.
 Midterm Exam I. Wednesday, February 8
Midterm Exam 1 + Solution
 up to and including Section 2.3  One practice midterm and solutions
Section 204 MT1 +
Section 202 MT1
Practice 2 (Solution)
Practice 3 (Solution)
Practice 4 + Solution
 Midterm Exam II. Wednesday, March 15
Midterm Exam II office hours: Monday 03/13: 4pm-5:30pm+; Tuesday 03/14: 2pm-5:30pm+; 

Midterm Exam II Solution

You can pick up your exam in class or during office hours
 up to and including Section 4.6
Section 202 MT2
Section 203 MT2
Section 204 MT2
Practice Midterm Exams II Solutions
Some practice exams + solutions 
Lecture notes: Section 4.1-4.6: Eigenvalues and applications
2015WT1: #4, #6 for n=4, #8, #9, #11
2012WT2: #2, #6, #7, #8, #9
2011WT1: #3, #4, #5, #7, #8
2009WT2: #1, #3, #5, #7, #8, #10, #11, #12
2009WT1: #2, #3a, #5ac, #6, #7, #8, #10, #12
2008WT2: #2, #6, #7, #8, #9, #11, #12 Solution


Link to Section 202 of Professor Kai Behrend
Link to Section 203 of Professor Amir Esteghamatian
Link to Section 204 of Professor Dan Collins
Link to Section 205 of Professor Kam-Fai Tam
The math department offers free drop-in tutorials for Math 221
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