http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/ 2020-01-25T17:06:20-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/ http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/lib/images/favicon.ico text/html 2017-09-17T10:22:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/adjoint?rev=1505668920 Hermitian Adjoint text/html 2017-09-17T08:57:32-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/argand?rev=1505663852 The Complex Plane text/html 2017-09-17T12:35:54-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch1?rev=1505676954 Part I: Linear Algebra Chapter 1: Complex Numbers * (ss)1. The Complex Plane * (ss)2. Complex Number Algebra: Rectangular Form * (ss)3. Complex Conjugate and Norm * (ss)4. Division: Rectangular Form * (ss)5. Euler's Formula * (ss)6. Exponential Form * (ss)7. Powers and Roots * (ss)8. Logarithms text/html 2018-01-20T10:35:03-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch11?rev=1516473303 Part I: Linear Algebra Chapter 11: Delta Functions * (ss)1. Step Functions * (ss)2. The Dirac Delta Function * (ss)3. Exercise: Delta Functions 1 * (ss)4. Properties of the Dirac Delta Function * (ss)5. Exercise: Delta Functions 2 * (ss)6. Representations of the Dirac Delta Function * (ss)7. The Dirac Delta Function in Three Dimensions * (ss)8. The Dirac Delta Function and Densities * (ss)9. Exponential Representation of the Dirac Delta Function and Densities text/html 2018-01-20T10:39:26-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch11float?rev=1516473566 (ss)1. Step Functions (ss)2. The Dirac Delta Function (ss)3. Exercise: Delta Functions 1 (ss)4. Properties of the Dirac Delta Function (ss)5. Exercise: Delta Functions 2 (ss)6. Representations of the Dirac Delta Function (ss)7. The Dirac Delta Function in Three Dimensions (ss)8. The Dirac Delta Function and Densities (ss)9. Exponential Representation of the Dirac Delta Function and Densities text/html 2017-09-17T12:37:10-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch1float?rev=1505677030 (ss)1. The Complex Plane (ss)2. Rectangular Form (ss)3. Conjugate and Norm (ss)4. Division (ss)5. Euler's Formula (ss)6. Exponential Form (ss)7. Powers and Roots (ss)8. Logarithms text/html 2017-09-17T12:21:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch2?rev=1505676060 Part I: Linear Algebra Chapter 2: Operations with Matrices * (ss)1. Matrix Addition * (ss)2. Scalar Multiplication * (ss)3. Matrix Multiplication * (ss)4. Transpose * (ss)5. Hermitian Adjoint * (ss)6. Trace * (ss)7. Determinants * (ss)8. Inverses * (ss)9. Bra-Ket Notation text/html 2017-09-17T12:21:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch2float?rev=1505676060 (ss)1. Matrix Addition (ss)2. Scalar Multiplication (ss)3. Matrix Multiplication (ss)4. Transpose (ss)5. Hermitian Adjoint (ss)6. Trace (ss)7. Determinants (ss)8. Inverses (ss)9. Bra-Ket Notation text/html 2017-10-04T13:31:27-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch3?rev=1507149087 Part I: Linear Algebra Chapter 3: Eigenvalues and Eigenvectors * (ss)1. What are Eigenvectors? * (ss)2. Finding Eigenvalues * (ss)3. Finding Eigenvectors * (ss)4. Normalization of Eigenvectors * (ss)5. Diagonal Matrices * (ss)6. Degeneracy * (ss)7. Using Eigenvectors as a Natural Basis text/html 2017-10-04T13:26:10-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch3float?rev=1507148770 (ss)1. What are Eigenvectors? (ss)2. Finding Eigenvalues (ss)3. Finding Eigenvectors (ss)4. Normalization (ss)5. Diagonal Matrices (ss)6. Degeneracy (ss)7. Eigenbasis text/html 2017-04-10T10:54:24-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch4?rev=1491846864 Part I: Linear Algebra Chapter 4: Special Matrices * (ss)1. Hermitian Matrices * (ss)2. Properties of Hermitian Matrices * (ss)3. Commuting Matrices * (ss)4. Unitary Matrices * (ss)5. Properties of Unitary Matrices * (ss)6. Change of Basis * (ss)7. Symmetry Operations * (ss)8. Matrix Examples * (ss)9. Matrix Decompositions * (ss)10. Matrix Exponentials * (ss)11. Evolution Equations text/html 2017-04-12T18:59:38-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch4float?rev=1492048778 (ss)1. Hermitian Matrices (ss)2. Properties: Hermitian (ss)3. Commuting Matrices (ss)4. Unitary Matrices (ss)5. Properties: Unitary (ss)6. Basis Change (ss)7. Symmetry Operations (ss)8. Matrix Examples (ss)9. Matrix Decompositions (ss)10. Matrix Exponentials (ss)11. Evolution Equations text/html 2017-02-20T19:35:45-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch5?rev=1487648145 Part I: Linear Algebra Chapter 5: Vector Spaces * (ss)1. Vector Space Definitions * (ss)2. Vector Space Examples text/html 2017-12-20T08:31:01-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch6?rev=1513787461 Part I: Linear Algebra Chapter 6: Differential Equations * (ss)1. Definitions and Notation * (ss)2. First Order ODEs: Definitions and Theorems * (ss)3. First Order ODEs: Separable * (ss)4. First Order ODEs: Exact * (ss)5. The Word "Linear": Definitions and Theorems * (ss)6. Linear, Constant Coefficients, Homogeneous * (ss)7. Linear Independence (Optional) * (ss)8. Linear, Constant Coefficients, Inhomogeneous * (ss)9. Linear, Series Solutions: Theorems * (ss)10. Linear, Ser… text/html 2017-12-20T08:34:53-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch6float?rev=1513787693 (ss)1. Definitions and Notation (ss)2. First Order: Notation and Theorems (ss)3. First Order: Separable (ss)4. First Order: Exact (ss)5. The Word "Linear" (ss)6. Homogeneous (Const Coeff) (ss)7. Linear Independence (ss)8. Inhomogeneous (Const Coeff) (ss)9. Linear, Series Solutions: Theorems (ss)10. Linear, Series Solutions: Method text/html 2017-02-19T09:01:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch7?rev=1487523660 Part I: Linear Algebra Chapter 7: Fourier Series * (ss)1. Harmonic Integrals * (ss)2. Completeness * (ss)3. Finding Coefficients * (ss)4. Example * (ss)5. The Gibbs Phenomenon * (ss)6. Symmetries text/html 2017-02-19T09:02:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch7float?rev=1487523720 (ss)1. Harmonic Integrals (ss)2. Completeness (ss)3. Finding Coefficients (ss)4. Example (ss)5. The Gibbs Phenomenon (ss)6. Symmetries text/html 2017-04-07T12:59:20-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch8?rev=1491595160 Part I: Linear Algebra Chapter 8: Fourier Transforms * (ss)1. Definitions of Fourier Transforms * (ss)2. Examples of Fourier Transforms * (ss)3. Fourier Uncertainties * (ss)4. Wave Packets text/html 2017-04-09T10:33:47-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch8float?rev=1491759227 (ss)1. Definitions of Fourier Transforms (ss)2. Examples of Fourier Transforms (ss)3. Fourier Uncertainties (ss)4. Wave Packets text/html 2018-01-20T22:25:14-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch9?rev=1516515914 Part I: Linear Algebra Chapter 9: Partial Differential Equations * (ss)1. Important PDEs in Physics * (ss)2. Classification of PDEs * (ss)3. Boundary and Initial Conditions * (ss)4. Separation of Variables--Process * (ss)5. Sturm-Liouville Theory text/html 2018-01-20T22:26:03-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/ch9float?rev=1516515963 (ss)1. Important PDEs in Physics (ss)2. Classification of PDEs (ss)3. Boundary/Initial Conditions (ss)4. Separation of Variables--Process (ss)5. 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http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/exdelta2?rev=1516477661 Exercise: Delta Functions 2 text/html 2017-09-17T17:01:27-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/expform?rev=1505692887 Exponential Form text/html 2017-02-18T07:35:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/find?rev=1487432100 Finding Coefficients text/html 2018-01-07T12:34:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/firstorder?rev=1515357240 First Order ODEs: Definitions and Theorems text/html 2017-02-18T07:36:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/fourierex?rev=1487432160 Example text/html 2017-02-18T07:36:00-08:00 http://sites.science.oregonstate.edu/coursewikis/LinAlgBook/book/linalg/fouriersym?rev=1487432160 Symmetries text/html 2017-04-09T10:25:39-08:00 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