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Applied Linear Algebra
MAT 213 Textbook: Linear Algebra and its Applications , 3nd edition, by Lay
Prerequisites: MAT 101 or the equivalent
Course Description: This course is an introduction to the arithmetic operations and applications of linear algebra. Major emphasis is placed on problem solving and mathematical modeling. Public Domain Software will be utilized extensively to aid with computations and application of the concepts.
This course carries 3 hours of academic credit and does not count toward the hours necessary for a mathematics major.
(From the college catalog: This course will give the student an understanding of the basic tools of vector and matrix arithmetic. Major topics covered include determinants, linear systems, matrix factorization, linear transformations, eigenvalues and eigenvectors with selected applications.)
Learning Objectives: The student will demonstrate an understanding of how linear systems are created, solved and utilized. In particular, time permitting, the student will cover:
Linear Equations in Linear Algebra (Chapter One):
Row operations
Vector and Matrix equations
Linear Independence
Linear Transformations
Linear models in Business, Science and Engineering
Matrix Algebra (Chapter Two):
Inverses
Partitioning
Factorizations
Applications to Computer Graphics
Dimension and Rank
Determinants (Sections 3.1 and 3.2):
Basic computing and properties
Eigenvalues and Eigenvectors (Sections 5.1, 5.2 and 5.3):
Characteristic Equation
Diagonalization
Orthogonality and Least Squares :
Inner Products
Orthogonal Sets
Least squares problem
Quadratic Forms:
Software: The following software packages will be utilized during this semester:
HYPERLINK "http://prdownloads.sourceforge.net/octave/octave-2.1.73-1-inst.exe?download" \t "_blank" Octave (do not use this if you have cygwin installed) | HYPERLINK "http://www.gnu.org/software/octave/" \t "_blank" Documentation
HYPERLINK "http://www.mathwizards.com/downloadp.html" \t "_blank" Mathviews | HYPERLINK "http://www.mathwizards.com/techinfo/man/mathv.htm" \t "_blank" Documentation
HYPERLINK "http://www.scilab.org/download/stable/scilab-4.0.exe" \t "_blank" Scilab | HYPERLINK "http://www.scilab.org/" \t "_blank" Documentation
Meetings: The format of class meetings will consist of lectures by the instructor. Student participation will be encouraged via classroom discussions as well as problem sessions where the student will present their work.
This class meets as scheduled. You are expected to be in class on time. University policy states that a student cannot miss more than 25% of class meetings and receive credit for the course. Further, attendance will be necessary in order to understand the material and make a good grade. The student is responsible for work and material missed when absent. Cheating in any way will be properly rewarded according to University policy (See the Undergraduate Bulletin; HYPERLINK "http://www.mc.edu/publications/policies/academic/219.html" http://www.mc.edu/publications/policies/academic/219.html).
MISSISSIPPI COLLEGE ACADEMIC POLICIES:
Students should consult the Mississippi College policy manual located at http://www.mc.edu/resources/publications/policies/ for official information regarding:
Class attendance - Policy 2.10
Grading - Policy 2.15
Cheating - Policy 2.19
Counseling and Career Services - Policy 2.25
Research - Policy 2.27
Counseling and Testing Center - Policy 2.34
Students who may require accomodation due to a documented handicap should follow the procedures located at http://www.mc.edu/about/offices/counseling/disabilities/
The Generic Grading Scale for this course is A = 90-100, B = 80-89, C = 70-79, D = 60-69. Individual instructors are free to choose a different grading scheme so students should consult their section's particular syllabus for the official grading scale to be utilized.
Tutoring Hours:
Hours and location for the departmental tutoring center are posted at http://www.mc.edu/academics/academic-tutoring/ .
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