Math 2101-002 Linear Algebra. Fall 2025.
Please note: If a student misses the final exam for some reason such as an illness, and the student fails to contact the professor before the grades are turned in, the course grade will be an F.
Textbook at SIAM Bookstore. See proposed timetable for discount information.
"The goal of this course is to offer a meaningful, rigorous, and
rewarding experience to every student; you will build that rich
experience by devoting your strongest available effort to the class.
You will be challenged and supported. Please be prepared to
take active, patient, and generous role in your learning and that
of your classmates."
Statement borrowed from Francisco Ardilla (SFSU), but it applies perfectly to this course.
Actual material covered in each class.
Class 1: Tue. 26 August 2025. Sections 1.1, 1.2.
Class 2: Thu. 28 August 2025. Sections 1.2, 1.3.
Class 3: Tue. 2 September 2025. Sections 1.4, 1.5.
Class 4: Thu. 4 September 2025. Sections 1.5, 1.6.
Class 5: Tue. 9 September 2025. Sections 1.6, 1.7.
Class 6: Thu. 11 September 2025. More on section 1.7.
Class 6: Tue. 16 September 2025. Section 1.8.
Class 8: Thu. 18 September 2025. More on section 1.8 Section 1.9.
Class 9: Tue. 23 September 2025. More on Section 1.9. Section 1.10
Class 10: Thu. 25 September 2025. Exam 1.
Responses.
Class 11: Tue. 30 September 2025. Review of Exam and HW4 questions. More on projections. Start Section 2.1
Class 12: Thu. 1 October 2025. Section 2.1
Notes in pdf (they cannot be shared with anyone without permission from the instructor):
Sections 1.1 and 1.2.
Section 1.3.
Old notes on Lines, Planes, and More .
Sections 1.4 and 1.5.
Section 1.6.
Section 1.7, linear transformations, matrix-vector product, matrix-matrix product.
Section 1.8. Matrix algebra.
Sections 1.9 and 1.10. Matrix Norms. Reflections, Projections. .
Section 2.1. Solution of Linear Systems.
Sections 2.2, 2.3, 2.4. Elementary Matrices. Inverses. Rank of a Matrix.
Section 2.5. Consistency of Linear Systems.