Math 21b Linear Algebra and Differential Equations

This section meets in Science Center 309 from 10:00-11:30am on Tuesday and Thursday.

Most information about this course can be found on Oliver Knill's (the course head) website. This has crucial information about homework, exams, etc (including the actual homework!).

Office Hours

Office: Science Center 238

Candy Hours: Monday 4-5pm and Tuesday 3-4pm

More office hours are available from other section heads and CAs and are posted here.

Handouts

I will be giving you many handouts in class, which you will be able to find here along with solutions.

NOW THAT THE COURSE IS OVER, THE SOLUTIONS HAVE BEEN REMOVED. CONTACT ME IF YOU WOULD LIKE A COPY OF THEM.

Date Subject Handout Solutions
1/26 Introduction to Linear Systems pdf pdf
1/31 Gauss-Jordan Elimination pdf pdf
2/2 Introduction to Linear Transformations pdf pdf
2/7 More Linear Transformations pdf pdf
2/9 Inverses, Images, and Kernels, Oh My! pdf pdf
2/16 Changing Coordinates for Fun and Profit pdf pdf
2/21 Linear Spaces pdf pdf
3/2 Gram-Schmidt Process and Orthogonal Matrices pdf pdf
3/7 Least Squares and Determinants pdf pdf
3/9 More Determinants pdf pdf
3/21 Eigenvalues and Eigenvectors pdf pdf
3/28 Complex Numbers and Stability pdf pdf
3/30 Symmetric Matrices and the Spectral Theorem pdf pdf
4/13 Linear Second-order Differential Equations pdf pdf
4/18 Fourier Series pdf pdf
4/20 Partial Differential Equations pdf pdf


These handouts are based on ones generously provided by Janet Chen.


Homework

The homework is posted here.

Resources

Some notes and problems on complex numbers.

The Math Question Center is staffed nightly 8:30pm-10:30pm, Sunday-Thursday in Science Center 309a. More information is available here.

This is a fun "game" to practice Gauss-Jordan elimination: Gauss-Jordan elimination


If you have any questions, please feel free to contact me at wboney@math.harvard.edu.
Back to my homepage.