Prerequisite: MTH 2227
Instructor: Dr. Sergey Belyi
E-mail me: sbelyi@troy.edu
Text: Elementary
Linear Algebra, by Larson, Edwards, and Falvo, 5 th Edition
Syllabus:
(click here)
Schedule: Monday, Wednesday, Friday
9:00-9:50, in MSCX 224
Tests and Grades: Four tests will be given,
but only three of them will count toward the 70%
of a final grade. A comprehensive final exam will constitute approximately 20% of the final grade. MATLAB projects will count
toward the 10% of the final grade. Students
missing a scheduled test will have a zero (0)
score recorded. Final Exam is on December 7, 11:00 – 1:00.
Here are your MATLAB projects:
Use this link to get MATLAB help file.
Section 1.1. Introduction to Systems of Linear Equations
Homework: ##1-3, 7-9, 13-15, 27-33, 37-45
Section 1.2. Gaussian Elimination and Gauss-Jordan Elimination
Homework: ##1-5, 7-11, 13-17, 19-31, 37-39
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Section 2.1. Operations with Matrices
Homework: ##1-17, 19-25, 27-29
Section 2.2. Properties of Matrix Operations
Homework: ##1-15, 19-21, 23-25
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Section 2.3. The Inverse of a Matrix
Homework: ##1-3, 5-19, 25 a),c), 27 a), 31-33, ## 21-23, 29 (with MATLAB)
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Section 2.4. Elementary Matrices
Homework: ##1-7, 13-19, 21-27, 37-39
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Test 1 E-mail me to find out you test score
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Section 3.1. The Determinant of a Matrix
Homework: ##1-11, 13-15, 19-37, 41-45
Section 3.2. Evaluation of a Determinant Using Elementary Operations
Homework: ##1--29
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Section 3.3. Properties of Determinants
Homework: ##1--13, 23-29, 35-37
MATLAB Project 1 is due!!!
Section 3.4. Introduction to Eigenvalues
Homework: ##1--11
Section 3.5. Application of Determinants (read first part only, till Area, Volume, etc.)
Homework: ##1--7, 17--31
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Test 2 E-mail me to find out you test score
Section 4.1. Vectors in R^n
Homework: ##9-17, 19-21, 27-37
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Section 4.2. Vector Spaces
Homework: ##1-19, 25
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Section 4.3. Subspaces of Vector Spaces
Homework: ##1-3, 7-11, 15 - 19
Section 4.4. Spanning Sets and Linear Independence
Homework: ##1-31, 37-41
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Section 4.5. Basis and Dimension
Homework: ## 5--43
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Section 4.6. Rank of Matrix and Systems of Linear Equations
Homework: ##1-23, 33-35
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Section 4.7. Coordiantes and Change of Basis
Homework: ##1-19
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Test 3 E-mail me to find out you test score
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Section 5.1. Length and Dot Product in R^n
Homework: ##1--19, 23-29, 33-39, 45-63
Section 5.2. Inner Product Spaces
Homework: ##1--7,13, 21-27, 31-33, 41-43
Section 5.3. Orthonormal Bases: Gram-Schmidt Process
Homework: ##1--9,13-25
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Section 7.1. Eigenvalues and Eigenvectors
Homework: ##1--5, 9-21
Section 7.2. Diagonalization
Homework: ##1--19
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Section 7.3. Symmetric Matrices and Orthog. Diagonalization
Homework: ##1--19
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Test 4 E-mail me to find out you test score
MATLAB Project 2 is due!
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FINAL EXAM 11/7 11:00 - 1:00
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