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STARK STATE COLLEGE GENERAL SYLLABUS
Course Information
Course Name: Linear Algebra Course Number: MTH226
Required Materials
Textbook(s): Elementary Linear Algebra-8th edition; by Ron Larson
Cengage Learning 2017;
Additional Materials: none
A graphing calculator is recommended but not required.
Required Readings: ISBN: 978-1-305-65800-4 (student edition); 978-1-305-95320-8 (loose-leaf edition)
Course Outline/Calendar
The date of coverage and order of coverage may be modified based on the faculty member and events beyond the control of faculty members that interfere with class times and teaching.
| Week | Chapter/Topic/Lab |
|---|---|
| 1 | Ch. 1 Systems of Linear Equations (Review) 1.1 Introduction to Systems of Linear Equations 1.2 Gaussian and Gauss-Jordan Eliminations 1.3 Applications of Systems of Linear Equations Ch. 2 Matrices (Review) 2.1 Operations with Matrices 2.2 Properties of Matrix Operations 2.3 The Inverse of a Matrix |
| 2 | 2.4 Elementary Matrices 2.6 Some Applications of Matrix Operations Ch. 3 Determinants (Review) 3.1 The Determinant of a Matrix 3.2 Determinants and Elementary Operations 3.3 Properties of Determinants 3.4 Applications of Determinants |
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| Week | Chapter/Topic/Lab |
|---|---|
| Test #1 (Chapters 1, 2, 3) | |
| 3 | Ch. 4 Vector Spaces\n4.1 Vectors in Rn\n4.2 Vector Spaces\n4.3 Subspaces of a Vector Space |
| 4 | 44 Spanning Sets and Linear Independence 4.5 Basis and Dimension 4.6 Rank of a Matrix and Systems of Linear Equations |
| 5 | 4.7 Coordinates and Change of Basis 4.8 Applications of Vector Spaces |
| 6 | Ch. 5 Inner Product Spaces\n5.1 Length and Dot Product in Rn\n5.2 Inner Product Spaces |
| 7 | 5.3 Orthonormal Bases: Gram-Schmidt Process (if time permits) 5.4 Mathematical Models and Least Square Analysis (if time permits) |
| 8 | 5.5 Applications of Inner Product Spaces Test #2 (Chapters 4, 5) |
| 9 | Ch. 6 Linear Transformations 6.1 Introduction to Linear Transformations 6.2 The Kernel and Range of a Linear Transformation |
| 10 | 6.3 Matrices for Linear Transformations 6.4 Transition Matrices and Similarity |
| 11 | 6.5 Applications of Linear Transformations Ch. 7 Eigenvalues and Eigenvectors 7.1 Eigenvalues and Eigenvectors |
| 12 | 7.2 Diagonalization 7.3 Symmetric Matrices and Orthogonal Diagonalization |
| 13 | 7.4 Applications of Linear Transformations Ch. 8 Complex Vector Spaces. Abstract Vector Spaces 8.1 Complex Numbers (review) 8.2 Conjugates and Division of Complex Numbers (review) |
| 14 | 8.3 Polar Form and DeMoivre’s Theorem (review) 8.4 Complex Vector Spaces and Inner Products. Abstract Vector Spaces |
| 15 | Make up week (if time permits) |
| 16 | Final Exam Test #3 (Chapters 6, 7, 8) |