Computational-Science-and-Engineering

Chapter 1. Applied Linear Algebra

1. Four Special Matrices

2. Differential Equations and Difference Equations

3. Solving a linear system

4. Delta Function

5. Eigenvalues and Eigenvectors

6. Positive Definite Matrices

7. Numerical Linear Algebra

Chapter 2. Framework for applied math

1. Equlibrium and the stiffness matrix

3. Least squares for rectangular matrix

4. Graph models and Kirchhoff's Laws

Exam 1

5. Networks and transfer function

Chapter 3. Boundary value problem

1. Differential equations and finite elements

2. Cubic Splines and Fourth Order Equations

3. GradientAndDivergence

4. LaplacesEquation

Exam 2

Chapter 4. Fourier Series and Integrals

1.FourierSeriesForPeriodicFunctions

2.ChebyshevLegendreAndBessel

3.DiscretFourierTransformAndTheFFT

4.ConvolutionAndSignalProcessing

5.FourierIntegrals

Final Exam (2007 solutions)