MATH 3720 - Linear Algebra and Matrix Theory
Fall 2026 Syllabus, Section 01, CRN 40508,
Credit hours: 3
Course Meeting Times
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Instructor
Sergio Zapata Ceballos
Email: srzapataceballos@ysu.edu
Course Description
3720. Linear Algebra and Matrix Theory. Matrices; matrix operations; linear transformations; applications. Prereq.: "C" or better in either MATH 1570, MATH 1571, MATH 1571H, MATH 1581, MATH 1581H, or MATH 1585H. 3 s.h.
Course Readings
| Group | Title | Author | ISBN |
|---|---|---|---|
| Required | Linear Algebra and Applications: An Inquiry- Based Approach | Alayont, Feryal, and Steven Schlicker |
You can find it at https://scholarworks.gvsu.edu/books/21/.
The following textbook is not required, but you may want to consider it as supplemental material: Poole, David. Linear Algebra: A Modern Introduction, 2015. A copy is available at Maag Library.
The course readings are subject to change in the event of extenuating circumstances, research developments, current events, and/or to ensure better learning.
Assignments/Assessments
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Tentative Course Schedule
| Week of | Reading(s) | Proposed Topic | Due/To Prepare for Class |
|---|---|---|---|
| 8/24 | Sections 1, 2 | Systems of Linear Equations | |
| 8/31 | Sections 2,3 | Systems of Linear Equations | |
| 9/7 | Section 4 | Vector Operations | |
| 9/14 | Section 5 | Lines and Planes | |
| 9/21 | Section 6 | Linear Combinations and Span | |
| 9/28 | Section 12 | Linear Combinations and Span | |
| 10/5 | Sections 7, 8 | Matrices | |
| 10/12 | Sections 10 | Inverse of a Matrix | |
| 10/19 | Section 11 | Matrix Subspaces | |
| 10/26 | Section 13 | Rank | |
| 11/2 | Sections 35, 36 | Linear Transformations | |
| 11/9 | Sections 16, 21 | Determinants | |
| 11/16 | Sections 9, 14 | Eigenvalues | |
| 11/23 | Section 17 | Eigenspaces | |
| 11/30 | Section 18 | Diagonalization | |
| 12/7 | Final Exam Week |
The course schedule, policies, procedures, and assignments in this course are subject to change in the event of extenuating circumstances, by mutual agreement, and/or to ensure better learning.