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Week
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Topics
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Study Metarials
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1
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Introduction to spectral theory
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R1) Lecture notes
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2
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Linear operators
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R1) Lecture notes
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3
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Boundary conditions and definition of Sturm-Liouville Operators
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R1) Lecture notes
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4
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Lagrange Identity
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R1) Lecture notes
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5
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Positive, symmetric and selfadjoint Sturm-Liouville Operators
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R1) Lecture notes
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6
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Eigenvalues and eigenfunctions of selfadjoint operators
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R1) Lecture notes
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7
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Examples of eigenvalues and eigenfunctions
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R1) Lecture notes
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8
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Finding solutions and of Sturm-Liouville equations I
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R1) Lecture notes
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9
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Finding solutions and of Sturm-Liouville equations II
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R1) Lecture notes
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10
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Integral equations and obtaining their solutions by consecutive approximation
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R1) Lecture notes
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11
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Asymptotics of functions
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R1) Lecture notes
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12
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Finding the asymptotics of the solutions of Sturm-Liouville equations
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R1) Lecture notes
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13
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Getting the asymptotics of eigenvalues
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R1) Lecture notes
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14
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Getting the asymptotics of eigenfunctions
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R1) Lecture notes
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