Instructor: Nguyen Hoang Lam Instructor in Charge: Kai Behrend (behrend@math.ubc.ca)
Lecture times and locations: MWF 34 at Leonard S. Klinck (also known as CSCI) 201
Contact: nlam@math.ubc.ca
Office Hours: Wednesday and Friday: 4pm5:30pm 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: 4pm5:30pm+; Tuesday 03/14: 2pm5:30pm+;

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 19 are now available to pick up at MLC. You have 2 weeks to pick up your quiz.
 The math department offers free dropin 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 12:0014:30. The final exam covers the whole course.
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 Leastsquare 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 makeup 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.:
Section 1.1: 1131 
Section 1.2: 131 
Section 1.3: 126 
Section 1.4: 136 
Section 1.5: 124 
Section 1.7: 140 
Section 1.8: 3,5,9,11,1316,18,27,31,3235 
Section 1.9: 16,9,10,12,17,19,25,27,28 
Section 2.1: 121 
Section 2.2: 110, 2934 
Section 2.3: 18, 13, 17, 21, 23, 27, 33 
Section 2.5: 126 
Section 2.6: 1, 2, 3, 5, 7, 9, 11, 13, 14 
Section 3.1: 118 
Section 3.2: 128. 
Section 4.1: 122 
Section 4.2: 118, 25, 27 
Section 4.3: 120, 24, 25, 29, 32 
Section 4.4: 1, 2, 3, 4, 8, 11, 12, 1318 
Section 4.6: 18, 15, 17, 18 Notes on dynamical systems: 1.11.5, 1.8, 1.9 
Section 5.1: 131 
Section 5.2: 134 
Section 5.3: 124 
Section 5.5: 125 Section 1.6: 15, 1215 
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: 7 inclass (15minute) + 5 takehome. When 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 
Inclass: 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 1 + Section 204 Quiz 1 
Quiz 2 Fri, Jan 20 
Inclass: 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 
Inclass
Quiz 3 Solution 
Up to and including Section 1.9 Practice 1 (skip #14) + Solution (Solution for #13) Section 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 
Takehome 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 
Takehome Quiz 5 + Solution 
Deadline: Wed, Feb 15 @ 3:55pm @ LSK 201 
Quiz 6 Fri, Feb 17 
Inclass Solution 
Up to and including Section 3.2: Practice 1 + Practice 2 + Solutions 
Quiz 7 Fri, Mar 3 
Inclass Solution 
Up to and including Section 4.2: P1 (Sol)+ P2 (did solve in class) 
Quiz 8 Fri, Mar 10 
Takehome Quiz 8 + Solution 
Deadline: Mon, Mar 13 @ 3:55pm @ LSK 201 
Quiz 9 Fri, Mar 17 
Takehome Quiz 9 
Deadline: Mon, Mar 20 @ 3:55pm @ LSK 201 
Quiz 10 Fri, Mar 24 
Takehome Quiz 10 + Solution 
Deadline: Wed, Mar 29 @ 3:55pm @ LSK 201 
Quiz 11 Fri, Mar 31 
Takehome Quiz 11 
Deadline: Mon, Apr 3 @ 3:55pm @ LSK 201 
Quiz 12 Mon, Apr 3 
Takehome 
Deadline: ??? 
Midterm Exams: There will be 2 inclass (50minute) 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 makeup 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: 4pm5:30pm+; Tuesday 03/14: 2pm5:30pm+;
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 4.14.6: 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

The math department offers free dropin tutorials for Math 221 
Updating...
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