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Taylor Polynomials. Error and Computer Arithmetic. Rootfinding. Interpolation and Approximation. Numerical Integration and Differentiation. Solution of Systems of Linear Equations. Numerical Linear Algebra: Advanced Topics. Numerical Solutions of Ordinary Differential Equations. Finite Difference Method for Partial Differential Equations. Appendix A: Mean Value Theorems. Appendix B: Mathematical Formulas. Appendix C: Numerical Analysis Software Packages. Appendix D: Matlab: An Introduction. Appendix E: The Binary Number System. Answers to Selected Problems. Bibliography.