├── .gitignore ├── 1.AppliedLInearAlgebra ├── 1.FourSpecialMatrices │ ├── LectureNotes.jl │ └── ProblemSet │ │ ├── #22.png │ │ ├── 14-21.jl │ │ ├── 22-end.jl │ │ ├── 3-7.jl │ │ ├── 8-14.jl │ │ └── Solutions.pdf ├── 2.DifferentialEqnsAndDifferenceEqns │ ├── LectureNotes.jl │ └── ProblemSet │ │ ├── 13.png │ │ ├── 14.png │ │ ├── 15.png │ │ ├── 16.png │ │ ├── 18.png │ │ ├── 19.png │ │ ├── Solutions.jl │ │ ├── Solutions1-10.pdf │ │ └── Solutions11-21.pdf ├── 3.SolvingALinearSystem │ ├── 1-14.pdf │ └── Solutions.jl ├── 4.DeltaFunction │ ├── 1-3.pdf │ └── 4-7.pdf ├── 5.EigenvaluesAndEigenvectors │ └── Solutions.jl ├── 6.PositiveDefiniteMatrices │ ├── Notebook.jl │ └── Solutions.jl └── 7.NumericalLinearAlgebra │ └── Solutions.jl ├── 2.FrameworkForAppliedMath ├── 0.Exam1 │ ├── Exam1.jl │ └── Exam1.pdf ├── 1.EqulibriumAndTheStiffnessMatrix │ └── 1+4.pdf ├── 3.LeastSquaresForRectangularMatrix │ ├── LectureNotes.jl │ └── ProblemSet.jl ├── 4.GraphModelsAndKirchhoffsLaws │ ├── 17.png │ └── ProblemSet.jl ├── 5.NetworksAndTransferFunction │ └── 1-3.pdf └── 7.StructuresInEqulibrium │ └── 1-3,5.pdf ├── 3.BoundaryValueProblems ├── 1.DefferentialEquationsAndFiniteElements │ ├── 1,2,5.pdf │ ├── 10,18.pdf │ ├── 11.pdf │ └── ProblemSet.jl ├── 2.CubicSplinesAndFourthOrderEquations │ ├── 1-3,5,6.pdf │ └── ProblemSet.jl ├── 3.GradientAndDivergence │ └── 1-5,8.pdf ├── 4.LaplacesEquation │ └── 2,4,5,6.pdf ├── 5.FiniteDifferenceAndFastPoissonSolving │ └── notes.jl └── Exam2 │ ├── Exam2.ipynb │ ├── Exam2.jl │ └── Exam2.pdf ├── 4.FourierSeriesAndIntegrals ├── 1.FourierSeriesForPeriodicFunctions │ ├── 1,3,5,7,13.pdf │ └── 5.png ├── 2.ChebyshevLegendreAndBessel │ └── 1,3.pdf ├── 3.DiscretFourierTransformAndTheFFT │ ├── .ipynb_checkpoints │ │ ├── ProblemSet4.3-checkpoint.ipynb │ │ └── notes-checkpoint.ipynb │ ├── ProblemSet.pdf │ └── ProblemSet4.3.ipynb ├── 4.ConvolutionAndSignalProcessing │ └── 1,2,3,6,8.pdf ├── 5.FourierIntegrals │ ├── 1-4.pdf │ └── 10,11,12,23.pdf └── Exam │ └── 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