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MATH221

SLIDES

SEQ DESCRIPTOR SYS_STATE

1.1 Review of Calculus

1.2–1.3 Round-off Errors, Computer Arithmetic and Convergence

2.1 The Bisection Method

2.3 Newton's Method and Its Extensions

2.4 Error Analysis for Iterative Methods

2.5 Accelerating Convergence

3.1 Interpolation and the Lagrange Polynomial

3.2 Data Approximation and Neville's Method

3.3 Divided Differences

3.4 Hermite Interpolation

3.5 Cubic Spline Interpolation

4.1 Numerical Differentiation

4.3 Elements of Numerical Integration

4.4 Composite Numerical Integration

5.1 The Elementary Theory of Initial-Value Problems

5.2 Euler's Method

5.3 Higher-Order Taylor Methods

6.1 Linear Systems of Equations

6.2 Pivoting Strategies

6.3 Linear Algebra and Matrix Inversion

7.1 Norms of Vectors and Matrices

7.2 Eigenvalues and Eigenvectors

7.3 The Jacobi and Gauss–Seidel Iterative Techniques

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