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.