Course Syllabus MATH 2010
Elements of Linear Algebra
Spring Semester 2008

Meeting times:

Monday,Wednesday and Friday 8:00 - 8:55.


KOM, Room 202


Jan Zijlstra, Ph.D.

Office :

Kirksey Old Main 257    (615) 898-2691/5422

Web Materials:


Office Hours:

Monday, Wednesday & Friday  10:15 - 11:30 and 1:30 - 2:30
Tuesday & Thursday 10:15 - 11:30.
All other times by appointment, please.

Prerequisite: Math 1910 (Calculus I) must have been completed with a grade of C or higher.
Note: Contact your instructor immediately if these requirements have not been met.
Course Materials: Textbook: David Poole: Linear Algebra: A Modern Introduction. 2nd Ed. Brooks-Cole Publ., 2003. ISBN:0-534-99845-3.
Calculator: Texas Instruments 83/84(plus) graphing calculator.
Materials: Engineering pad (bookstore), transparent straight-edge with cm-scale, and compasses.
Main Topics:
  • Geometry and Algebra of Vectors
  • The Scalar (Dot-) Product of Vectors: Length, Angle and Projection of Vectors
  • Lines and Planes
  • Spanning Sets and Linear Independence
  • Direct Methods for solving systems of Linear Equations
  • Iterative Solutions of Linear Systems
  • Matrix Operations and Algebra
  • Matrix Inversion
  • The LU Factorization of a Matrix
  • Vector Spaces and Linear Transformations
  • Subspaces, Basis, Dimension and Rank
  • Determinants
  • Eigenvalues and Eigenvectors
  • Similarity and Diagonalization
  • Orthogonal Projections
  • The Gram-Schmidt Process and the QR Factorization of a Matrix
  • Least Squares Approximation
and Scale :
Approx. 8 Labs/Quizzes   :  30-50 points each
Approx. 4 Term Exams    : 100 points each
Comprehensive Final Exam       : 200 points

A: 100-90, B+: 89-87, B:86-83, B-: 82-80, C+: 79-77, C:76-73, C-: 72-70, D+: 69-67, D:66-63, D-: 62-60, F: < 60 points.

Absences: Tests can be made up only with a Valid University Excuse, see Student Handbook for details.
  • Throughout the course, we will use the computer algebra system MAPLE to support computational and graphing tasks. No prior computer programming exposure is expected and introductory sessions will be held as soon as lab space is secured.
  • The laboratories are take-home sets of assignments which will address both theoretical and practical (modeling) questions.  
  • If you have a disability that may require assistance or accomodation, or you have questions related to accomodations for  testing, note-takers, readers, etc., please contact me as soon as possible. You may also contact the Office of Disabled Student Services (898-2783) with questions about such services.
  • To retain Tennessee Education Lottery Scholarship eligibility, you must earn a cumulative TELS GPA of 2.75 after 24 attempted hours and a cumulative TELS GPA of 3.0 thereafter. A grade of C, D, F, or I in this class may negatively impact TELS eligibility. Dropping a class after 14 days may also impact eligibility; if you withdraw from this class and it results in an enrollment status of less than full time, you may lose eligibility for your lottery scholarship.
Important Dates: January 14: First Day of Class
January 21: MLK Day - no classes
January 27: Last day to drop without a grade.
March 3- 8: Spring Break, no classes.
March 2: Last day to drop with a 'W'. No 'W' will be granted after this date.
April 16: Deadline to withdraw from the University i.e. from all classes
April 23: Last Day of Classes.
Final Exam: Monday, April 28 7:30 - 9:30