Remarks
The content of the lecture notes are intended as a
supplement to the corresponding sections of the textbook. The
notes do not cover all the sections of
the syllabus. More sections will be added as they become ready.
Two forms are available for displaying the content of the notes:
Hyper Text Markup Language (HTML), and Mathcad (Mcad). To display Mathcad files, you need to
have Mathcad 2000 or higher installed on your computer, or you may
download the Mcad file to be used on a computer where Mathcad is
installed.
The content of the lecture notes is based on the
textbook: Differential Equations and Linear Algebra by C. Henry Edwards and
David Penney.
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| Chapter 1
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1.2
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First
Order Differential Equations
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HTML
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Mcad
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| Chapter 4
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4.3 |
Spanning
Sets and Linear Independence |
HTML
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Mcad
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4.4 |
Basis
and Dimensions for Vector Spaces |
HTML
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Mcad
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| Chapter 5
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5.2 |
Higher
Order Linear Differential Equations |
HTML
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Mcad
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5.5 |
Undetermined
Coefficients and Variation of Parameters |
HTML
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Mcad
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| Chapter 6
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6.1 |
The Eigenvalue Eigenvector Problem |
HTML
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Mcad
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| Chapter 7
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7.5 |
Example: Non-defective eigenvalue of
multiplicity 2 |
HTML
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Mcad
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Example: Defective
eigenvalue of multiplicity 3 |
HTML
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Mcad
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