Instructor: Dr. Lawrence Mouillé (pronounced "moo-yay") (pronouns: he / him).

Email: lgmouill@syr.edu.

Office: Carnegie Library, Room 317A.

Office hours: Tuesdays 3:30 pm - 4:30 pm, Wednesdays 11:00 am - 12:00 pm, or by appointment (in-person or Zoom).

Lecture: Carnegie Library, Room 200, Mon & Wed, 3:45 - 5:05 pm.

Texts: 

• Linear Algebra Done Right, by S. Axler, 3rd ed. (free through SpringerLink),

• Linear Algebra Done Wrong, by S. Treil (free on Treil's website).

Syllabus: link to syllabus.

Notes and worksheets:

• Handout 8/30 - Definition of vector space and field

• Notes 9/6 - Subspaces

• Notes 9/11 - Spans 

• Notes 9/13 - Linear Independence 

• Notes 9/18 - Bases and dimension 

• Notes 9/20 - Dimension 

• Worksheet 10/2 - Sums and intersections (Answers)

• Notes 10/4 - Sums and intersections 

• Notes 10/16 - Linear maps 

• Worksheet 10/18 - Rank-Nullity Theorem (Answers)

• Notes 10/23 - Systems and matrices 

• Notes 10/25 - Inverses and isomorphisms

• Notes 10/30 - Eigenvalues 

• Notes 11/6 - Eigenvalues, continued 

• Notes 11/8 - Eigenvalues and matrices 

Homework Assignments:

• Homework Assignment 1 - Vector spaces

• Homework Assignment 2 - Subspaces 

• Homework Assignment 3 - Span & linear independence 

• Homework Assignment 4 - Dimension, sums, & intersections 

• Homework Assignment 5 - Linear maps 

• Homework Assignment 6 - Isomorphisms 

• Homework Assignment 7 - Eigenvalues 

Exercises (ungraded):

• Exercise Set 1 - Vector spaces and fields 

• Exercise Set 2 - Subspaces

• Exercise Set 3 - Span & Linear independence 

• Exercise Set 4 - Basis & dimension 

• Exercise Set 4.1 - Sums & intersections 

• Exercise Set 5 - Linear maps 

• Exercises Set 6 - Rank-Nullity, matrices, & inverses 

• Exercise Set 7 - Eigenvalues