A webpage for this course with current information and teaching material (such as a detailed syllabus, homework assignments, etc.) will be set up in
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- Instructor: Sebastian Herr
- Lectures: TuTh, 12:30pm-2:00pm, 71 Evans
- Office Hours: TBA
- Graduate Student Instructor: TBA
- GSI Office Hours: TBA
- Prerequisites: Math 54 or a course with equivalent linear algebra content.
- Required Text:
Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence. Linear Algebra. Prentice Hall; 4th ed, 2002.
- Supplementary Reading (optional):
You may find the following textbook helpful:
Sheldon Axler. Linear Algebra Done Right. Springer; Corr. 7th printing ed., 2004.
- Course Description:
This is a course in Linear Algebra with a
focus on rigorous theory and mathematical reasoning. The main topics are the following:
Vector spaces, linear independence, bases, dimension. Linear transformations, matrices, change of bases, linear functionals. Systems of linear equations. Determinants, eigenvalues and eigenvectors, diagonalization. Inner products, orthonormalization and QR factorization, quadratic forms, spectral theorem, Rayleigh's principle. Jordan canonical form and applications.
- Homework: Homework will be assigned every Tuesday and will be due on
the following Tuesday, 12:30pm in class.
Your solutions will be graded.
Late homework will not be accepted.
The two lowest scores, however, will be dropped.
You are encouraged to discuss the problems with fellow students,
but your final solutions
must be written up and fully understood by yourself.
- First Midterm: 09/23 in class
- Second Midterm: 11/04 in class
- Final Exam: 12/19, 12:30pm-3:30pm
- Grading: Your final grade will be determined as follows:
20% homework, 20% each midterm, 40% final exam.