MAT22A Linear Algebra - Winter 2011

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General Information

Instructor details: Dan Romik
Mathematical Sciences Building 2218
tel: 530-554-1498
For more information go to my home page
Lectures: MWF 5:10-6:00 at Young 198
Office hours: F 11:00-11:50, F 1:10-2:00 (at my office, MSB 2218), or by appointment
TAs: Dustin Mayeda (MSB 2145 -- office hours: T 2:30-4:30)
Chuan Qin (MSB 3204 -- office hours: R 9:30-11:30)
Jing Xia (MSB 2127 -- office hours: F 9:00-11:00)

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, n-Vectors
Vector Properties
Vector Spaces
Linear Transformations
Matrix Properties
Inverse Matrices
LU Decomposition
Elementary Matrices and Determinants
Properties of Determinants
Eigenvalues and Eigenvectors
Subspaces, Spanning Sets
Linear Independence
Bases and Dimension
Orthonormal Bases
Diagonalizing Symmetric Matrices
Kernel Rank and Range
Orthogonal Complements and Gram Schmidt
Least Squares


There are two kinds of homework:
  1. 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.
  2. 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.


There will be two in-class midterm exams and a final exam.

Exam dates
First exam: Wednesday, Jan. 26
Second exam: Wednesday, Feb. 16
Final exam: Wednesday, Mar. 16, 3:30-5:30 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.