Linear Algebra
Instructor: Jesse Crawford
Email: jcrawford@tarleton.edu
Website: www.math.tarleton.edu/Faculty/Crawford/
Office phone: (254) 968-9536
Office: Math 332
Office Hours
TBA
Course Meeting Times: TR from 6:00 – 7:15 in Math 311.
Required Text: Linear Algebra Done Right, 2nd Ed., by Sheldon Axler.
Course Structure: Class meetings will consist of lecture/discussion of course material and
presentation of homework problems.
Exams: There will be a midterm exam and a comprehensive final exam.
Homework: A few homework problems will be assigned each day and collected during the next
class meeting.
Homework Presentations: Students will present solutions to homework problems on the day
they are due.
Grades: Course averages will be computed as follows.
Assignment
Homework
Homework
Presentations
Midterm Exam
Final Exam
% of Grade
25%
25%
25%
25%
Missed Exams and Late Homework: A student who misses an exam for a valid reason, such
as serious illness or the death of a family member will be allowed to make up the exam.
Students who make up exams are required to provide documentation confirming that the absence
occurred for a legitimate reason. You may submit up to two late homework assignments during
the semester, and a few homework assignments will be dropped.
Important Dates:
Friday, 11/05. Last day to drop with a “Q”
Tuesday, 12/14. Cumulative final exam will be held in Math 311 from 6:30 – 9:00.
Students with Disabilities: It is the policy of Tarleton State University to comply with the
Americans with Disabilities Act and other applicable laws. If you are a student with a disability
seeking accommodations for this course, please contact Trina Geye, Director of Student
Disability Services, at 254.968.9400 or geye@tarleton.edu. Student Disability Services is located
in Math 201. More information can be found at www.tarleton.edu/sds or in the University
Catalog.
Academic Integrity: The Tarleton University Mathematics Department takes academic
integrity very seriously. The usual penalty for a student caught cheating includes an F in the
course. Further penalties may be imposed, including expulsion from the university.
Expanded Course Description: This course is a continuation of and explains in
greater detail the concepts taught in the undergraduate linear algebra class. Topics
will be selected from: vector spaces, linear mappings, subspaces, linear dependence
and dimension, linear mappings, linear isomorphisms, decomposition of vector
spaces as well as matrices, kernel and null spaces, dual vector spaces, matrices,
change of basis, determinant of a linear transformation and a matrix, adjoint
matrices, trace, algebras, ideals, inner product spaces, orthogonal and orthonormal
bases, normed vector spaces, quaternions, linear mappings of inner product spaces,
bilinear transformations and quadratic forms, matrix factorization, least squares and
optimization, conditioning and stability of systems of equations, computation of
eigenvectors, eigenvalues, and inverses and generalized inverses of matrices.
Student Learning Outcomes:
a.
Students will demonstrate knowledge of fundamental definitions and
theorems by repeating them.
b.
Students will demonstrate the ability to perform computations related to the
material.
c.
Students will demonstrate the ability to prove mathematical theorems related
to the material.
d.
Students will demonstrate an understanding of the theoretical and
computational aspects of the course by applying them to related problems.
e.
Students will demonstrate the ability to apply the material in the course to
investigate mathematical questions.