Textbook: Elementary linear algebra (5th edition),
by Larson/Edwards/Falvo. Houghton
Mi in, 2004, isbn 0-618-33567-6.
Calculator: Graphing calculators beyond the TI-84+ are not al lowed on
tests , nor is sharing
of calculators.
Course Description: Matrices, solutions of linear systems, vector spaces
and subspaces,
orthogonality, determinants, eigen values and eigenvectors , linear
transformations , diagonaliza-
tion, and applications.
Course Objectives: Students will demonstrate their understanding of the
basic concepts of
linear algebra, including elementary matrices, solutions of linear systems,
vector spaces and
subspaces, orthogonality, determinants, eigenvalues and eigenvectors, linear
transformations,
and diagonalization.
Assessment of course objectives: Student
achievement will be measured through the use
of: quizzes on past homework; three semester tests; and a com prehensive final
exam. Tentative
weights:
15% quizzes,
60% tests,
25% final.
Grading Policy: Grades will be assigned based on the percentage of points earned
from the
available measurement of student achievement of course objectives. The course
grading scale
will be
Make-up Policy: No make-up exams will be given.
When a student misses an exam the score
from the final exam will be substituted for the missing exam score.
Attendance Policy: Students are expected to attend each class meeting in
totality, but
attendance will not be taken. A student who misses class is responsible to find
out what was
discussed and learn the material that was covered on the missed period: the
instructor is not
responsible for re-teaching missed material.
Academic Integrity: Any student who exhibits academic dish onesty in any
form will receive a
failing grade (F) for the entire course and will be reported to the University
Judicial Officer.
Civility Statement: See the Student Code of Conduct
at the URL above. The use of cell
phones, pagers, media players or laptops in the classroom is prohibited unless
required by the
instructor.
Additional Help : The Academic Success Center offers
free peer tutoring during the week.
Contact the tutorial centers for exact hours at (912) 478-5371
Important Dates:
|
January 19: |
Martin Luther King Jr. Holiday. |
|
March 9: |
Last day to drop without academic penalty. |
|
March 16-20: |
Spring break. |
|
May 4: |
Last day of classes. |
|
May 5 (Tuesday): |
Final Exam, 3:00-5:00. |
Tentative Schedule for Math 2331|Elementary Linear
Algebra:
| Week 1 (Jan 12) |
Section 1.1 |
Systems of Linear Equations |
| |
Section 1.2 |
Gaussian Elimination and Gauss-Jordan Elimination |
| |
Section 1.3 |
Applications of Systems of Linear Equations |
| Week 2 (Jan 19) |
January 19 |
Martin Luther King Jr. Holiday |
| |
Section 4.1 |
Vectors in
Rn |
| |
Section 4.2 |
Abstract Vector Spaces |
| Week 3 (Jan 26) |
Section 2.1 |
Ope rations with Matrices |
| |
Section 2.2 |
Properties of Matrix Operations |
| |
Section 2.3 |
The Inverse of a Matrix |
| Week 4 (Feb 2) |
Section 2.4 |
Elementary Matrices |
| |
|
Review |
| Week 5 (Feb 9) |
|
Test # 1 |
| |
Section 3.1 |
The De terminant of a Matrix |
| Week 6 (Feb 16) |
Section 3.2 |
Evaluation of a Determinant Using Elementary
Operations |
| |
Section 3.3 |
Properties of Determinants |
| Week 7 (Feb 23) |
Section 4.3 |
Subspaces of
Rn |
| |
Section 4.4 |
Spanning Sets and Linear Independence |
| Week 8 (Mar 2) |
Section 4.5 |
Basis and Dimension |
| |
Section 4.6 |
Rank of a Matrix and Systems of Linear Equations |
| Week 9 (Mar 9) |
Section 4.7 |
Coordinates and Change of Basis |
| |
|
Review |
| Week 10 (Mar 16) |
March 16-20 |
Spring break |
| Week 11 (Mar 23) |
|
Test # 2 |
| |
Section 6.1 |
Introduction to Linear Transformations |
| Week 12 (Mar 30) |
Section 6.2 |
The Kernel and Range of a Linear Transformation |
| |
Section 6.3 |
Matrices for Linear Transformations |
| Week 13 (Apr 6) |
Section 6.4 |
Transition Matrices and Similarity |
| |
Section 7.1 |
Eigenvalues and Eigenvectors |
| Week 14 (Apr 13) |
Section 7.2 |
Diagonalization |
| |
|
Review |
| Week 15 (Apr 20) |
|
Test # 3 |
| |
Section 5.1 |
Length and Dot Product in
Rn |
| |
Section 5.2 |
Abstract Inner Product Spaces |
| Week 16 (Apr 27) |
Section 7.3 |
Symmetric Matrices and Orthogonal Diagonalization |
| |
|
Review |
| Week 17 (May 4) |
May 5 |
Final Exam, 3:00-5:00 |
Additional topics from Sections 3.5 (Applications of
Determinants) and 5.3 (Gram-Schmidt
Process) may be covered as time permits.
