MATH 3242 | Spring 2025 | |||
Linear Algebra | Dwiggins | |||
Tuesday | Thursday | |||
W E E K # 1 |
Jan 21 | Jan 23 | ||
Section 1.1 | Sections 1.1-2 | |||
Linear Systems of Equations |
Methods of Solution and Applications of Linear Systems |
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W E E K # 2 |
Jan 28 | Jan 30 | ||
Section 2.1 | Sections 2.2-3 | |||
Definition of a Linear Space |
Introduction to Matrices and Matrix Algebra |
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W E E K # 3 |
Feb 4 | Feb 6 (Homework Assignment # 1 Due) | ||
Sections 2.3-4 | Section 3.1 | |||
Multiplicative Inverses of Square Matrices |
The Determinant of a Square Matrix |
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W E E K # 4 |
Feb 11 | Feb 13 | ||
Review | Test # 1 | |||
Sections 1.1-2, 2.1-4, and 3.1 | ||||
W E E K # 5 |
Feb 18 | Feb 20 | ||
Sections 3.2-3 | Sections 3.3-4 | |||
Properties of Determinants |
Applications of Determinants |
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W E E K # 6 |
Feb 25 | Feb 27 | ||
Sections 4.1-2 | Sections 4.3-4 | |||
Properties of Vector Spaces |
Vector Subspaces and Linear Independence |
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W E E K # 7 |
Mar 4 | Mar 6 (Homework Assignment # 2 Due) | ||
Sections 4.5-6 | Sections 4.7-8 | |||
Bases, Dimension, and the Rank of a Matrix |
Coordinate Systems and Other Applications |
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W E E K # 8 |
Mar 11 | Mar 13 | ||
Spring Break | Spring Break | |||
(No Classes Scheduled) | (No Classes Scheduled) | |||
Tuesday | Thursday | |||
W E E K # 9 |
Mar 18 | Mar 20 | ||
Sections 5.1-2 | Review | |||
The Geometry of Vector Spaces |
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W E E K # 10 |
Mar 25 | Mar 27 | ||
Test # 2 | Sections 5.3-4 | |||
Chapters 3, 4, and 5.1-2 | Orthonormal Bases for Vector Spaces |
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W E E K # 11 |
Apr 1 | Apr 3 | ||
Sections 5.4-5 | Sections 6.1-2 | |||
Applications of Inner Product Spaces |
Introduction to Linear Transformations |
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W E E K # 12 |
Apr 8 | Apr 10 (Homework Assignment # 3 Due) | ||
Sections 6.3-4 | Sections 6.4-5 | |||
Linear Transformation Matrices |
Properties and Applications of Linear Transformations |
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W E E K # 13 |
Apr 15 | Apr 17 | ||
Sections 7.1-2 | Sections 7.3-4 | |||
Eigensystems for Matrices (Eigenvalues and Eigenvectors) |
Eigensystems: Special Cases and Applications |
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W E E K # 14 |
Apr 22 | Apr 24 | ||
Review | Test # 3 | |||
Sections 5.3-7.4 | ||||
W E E K # 15 |
Apr 29 (Homework Assignment # 4 Due) | May 1 | ||
Review | Study Day | |||
Final Exam = Thursday, May 8, 8:00-10:00 a.m. | ||||