| Section(s) |
| 1. | Introduction |
| a. |
Review of some calculus techniques |
|
|
| b. |
Ideas of Error Analysis | |
0.5, 0.6 |
|
| 2. | Solving Non-linear Equations |
| a. |
Bisection, Regula-Falsi, secant method | |
1.2, 1.3 |
| b. |
Newton's method | |
1.4, 1.7, 1.10, 1.11 |
| c. |
Muller's method | |
1.5 |
| d. |
Fixed-point iteration | |
1.6, 1.11 |
| e. |
Convergence analysis | |
1.11 |
|
| 3. | Curve Fitting, Interpolation and Approximation |
| a. |
Lagrangian Polynomials | |
3.1 |
| b. |
Divided Difference | |
6.1, 6.2 |
| c. |
Cubic Splines | |
3.4, 3.8 |
| d. |
Least Squares | |
3.7 |
| e. |
Chebyshev Polynomials | |
4.1, 4.5 |
| f. |
Economized Power Series | |
4.2 |
|
| 4. | Numerical Calculus |
| a. |
Derivatives from Difference Tables | |
5.1, 5.2, 5.15 |
| b. |
Higher-Order Derivatives | |
5.3 |
| c. |
Richardson Extrapolation | |
5.4, 5.15 |
| d. |
Newton-Cotes Integration | |
5.5, 5.15 |
| e. |
The Trapezoid Rule | |
5.6 |
| f. |
Simpson's Rule | |
5.7 |
|
| 5. | Solving Systems of Equations |
| a. |
Matrix Issues | |
2.1, 2.6, 2.7, 2.8, 2.9 |
| b. |
Gaussian Elimination | |
2.3, 2.4 |
| c. |
LU Decomposition | |
2.5 |
|
| 6. | Differential Equations |
| a. |
Taylor Series | |
6.2 |
| b. |
Euler Methods | |
6.3 |
| c. |
Runge-Kutta Methods | |
6.4 |
| d. |
As much of the rest of Chapter 6 as we can cover | |
6.5-6.11 |
![[Up]](../../../buttons/big/up.gif){kind=small}
![[Next]](../../../buttons/big/next.gif){kind=small}
![[HOME]](../pix/home.gif){kind=small}