MAT22A Linear Algebra  Winter 2011
Quick Links
News and announcements
 (3/19/11) Have an enjoyable spring break, and successful spring quarter!
 (3/19/11) Here is a chart showing
the distribution of final grades in the course:
 (3/19/11) Final grades have been uploaded to the system and should
be visible soon on SmartSite/SIS. A total score (in the range 0100) was
computed
as a weighted average of the midterms, final, webwork homework and written
homework assignments, as described in the course grading policy (this total score can be seen on the course SmartSite grades, under "Final Score"). The letter
grades were computed from the total score according to the following cutoff
ranges:
A+  97100 
A  9296.999 
A  8991.999 
B+  8688.999 
B  8385.999 
B  8182.999 
C+  7980.999 
C  7778.999 
C  7476.999 
D+  7173.999 
D  6870.999 
D  6567.999 
F  064.999 
 (3/11/11) Click here
for a set of practice questions for the final exam. The final exam
will have roughly the same length and difficulty level.
Click here for the solutions.
 (3/3/11) The fifth and final written homework assignment will
be due on Friday 3/11 (note the unusual day) before class starts. The
assigned problems are:
 Lecture 21: problems 2, 3.
 Lecture 22: problem 3.
 Lecture 23: problem 4.
 Lecture 24: problem 1.
 (2/23/11) Click here
for solutions to the second midterm.
 (2/23/11) The grades for the second midterm can now be accessed through
SmartSite. The average grade was 86 and the standard deviation was 11.
Here is a chart showing the grade distribution:
 (2/17/11) The fourth written homework assignment will be due
on Wednesday 3/2 (note the unusual day) before class starts. The assigned
problems are:
 Lecture 17: problems 2, 3.
 Lecture 18: problem 2.
 Lecture 19: problems 3, 4.
 Lecture 20: problems 1, 4, 5.
 (2/11/11) Click here
for the solutions to the second practice question set.
 (2/10/11) Click here for
a set of practice questions for next Wednesday's midterm exam. Solutions
will be posted soon.
The exam will cover lectures 8 through 16 (except lecture 11) in the lecture
notes and any related material covered in class. Like the first midterm,
the exam will be 45 minutes long and will be a closed book exam.
Don't forget to bring an exam blue book and your student ID.
 (2/5/11) The third written homework assignment will be due on
Monday, 2/14 before class starts. The assigned problems are:
 Lecture 10: problem 3.
 Lecture 12: problem 2.
 Lecture 13: problem 1.
 Lecture 14: problem 1.
 Lecture 15: problems 1, 3.
 Lecture 16: problems 1, 2.
 (2/3/11) Click here for
solutions to the first midterm.
 (2/2/11) The grades for the midterm exam can now be accessed through
SmartSite. The average grade was 75 and the standard deviation was 14.
Here is a chart showing the grade distribution:
 (1/21/11) Click here
for solutions to the practice question set.
 (1/20/11) The second written homework assignment will be due on
Monday, 1/31 before class starts. The assigned problems are:
 Lecture 6: problems 2, 3, 4.
 Lecture 7: problems 1, 2.
 Lecture 8: problems 2, 3, 5.
 Lecture 9: problems 1, 3, 4.
 (1/20/11) Click here for
a set of practice questions for next week's midterm exam. Solutions
will be posted in the next few days.
The exam will be 45 minutes long and will be a closed book exam.
 (1/07/11) The first written homework assignment will be due on
Wednesday, 1/19 (since Monday 1/17 is a holiday). The assigned problems
are taken from the "Review Problems" at the end of each lecture in
the lecture notes. The problems to be handed in (in class before the
lecture starts) are:
 Lecture 1: problems 1, 3.
 Lecture 2: problems 1, 2, 3.
 Lecture 3: problems 1, 3.
 Lecture 4: problems 1, 2, 3.
 Lecture 5: problems 1, 2.
A few problems will be graded. The problems will be graded both for
correctness and quality of presentation.
 (1/03/11) The WeBWork problem sets for the first week are now open.
For instructions on logging in refer to the Getting Started Guide. If you are
having difficulties using WeBWork, consult the Help Wiki and if you cannot
find an answer to your question, email Rohit Thomas, the math department's dedicated WeBWork T.A.
 (12/29/10) Important information on MAT22AL: Please read
this important note
on MAT22AL, the linear algebra computer lab class that is a prerequisite
for this class for all students except those who have taken Eng 6.
General Information
Instructor details: 
Dan Romik 
 Mathematical Sciences Building 2218 
 tel: 5305541498 
 email:

 For more information go to my home page 

Lectures: 
MWF 5:106:00 at Young 198 
Office hours: 
F 11:0011:50, F 1:102:00 (at my office, MSB 2218), or by appointment 

TAs: 
Dustin Mayeda (MSB 2145  office hours: T 2:304:30) 
 Chuan Qin (MSB 3204  office hours: R 9:3011:30) 
 Jing Xia (MSB 2127  office hours: F 9:0011:00) 
Textbook and Syllabus
The class will follow the free lecture notes
Linear Algebra in Twenty Five Lectures, by Tom Denton and Andrew Waldron. Additional reading material that is complementary to (and referred to by) the lecture notes are the two free online textbooks
Linear Algebra by Jim Hefferon and
A First Course in Linear Algebra by Rob Beezer.
Detailed list of topics
Linear Systems, Vectors and Linear Transformations
Solving Linear Systems
Solution Sets
Vectors in Space, nVectors
Vector Properties
Vector Spaces
Linear Transformations
Matrices
Matrix Properties
Inverse Matrices
LU Decomposition
Elementary Matrices and Determinants
Properties of Determinants
Eigenvalues and Eigenvectors
Subspaces, Spanning Sets
Linear Independence
Bases and Dimension
Diagonalization
Orthonormal Bases
Diagonalizing Symmetric Matrices
Kernel Rank and Range
Orthogonal Complements and Gram Schmidt
Least Squares
Homework
There are two kinds of homework:
 Online homework
that you will prepare using the WeBWork system. The WeBWork problem sets are
themselves divided into:
 Very short reading comprehension sets. The problems for each lecture
are due by the beginning of the next lecture.
 A weekly "skills" set of more thorough problems covering the previous
week's material. The skills set is due by the time of next Friday's
lecture.
 Written homework that you will hand in in class on Monday
every two weeks.
The problems appear in the lecture notes at the end of each lecture chapter.
Exams
There will be two inclass midterm exams and a final exam.
Exam dates
First exam:   Wednesday, Jan. 26 
Second exam:   Wednesday, Feb. 16 
Final exam:   Wednesday, Mar. 16, 3:305:30 PM 
Grading policy
Grades will be weighted as follows: 20% for WeBWork homework; 20% for written
homework; %20 for the midterm exams (i.e., 10% each); 40% for the final exam.
Ethics policy
Students are expected to conform to the campus
Standards of Conduct and
Code of Academic Conduct. In other words: don't cheat! Any students caught cheating or otherwise violating these standards will be referred to
Student Judicial Affairs for disciplining.