Applied linear algebra -- . A framework for applied mathematics -- Boundary value problems -- Fourier series and integrals -- Analytic functions -- Initial value problems -- Solving large systems -- Optimization and minimum principles. Applied Linear Algebra A Framework for Applied Mathematics Boundary Value Problems Fourier Series and Integrals Analytic Functions Initial Value Problems Solving Large Systems Solving Large Systems Optimization and Minimum Principles Appendix: Linear Algebra in a Nutshell Appendix: Sampling and Aliasing Appendix: Computational Science and Engineering