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Topics |
Homework Problems |
Class Hours |
| [1] |
Introduction, A Simple Math Model, Conservation Law (Chapter 1)
Approximation & Errors (Chapter 3)
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#1.1, 1.3, 1.5, 1.8 , 3.4, 3.8
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End of week 01 |
| [2] |
- Truncation errors & Taylor series (Chapter 4)
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#4.1, 4.5, 4.8
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End of week 02 |
| [3] |
- Roots of Equations:Bisection, and False-Position Methods (Chapter 5)
Newton-Raphson^ Method (Chapter 6)
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#5.1, 5.10-5.12, 6.1, 6.2, 6.5
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End of week 03 |
| [4] |
- Review (Chapter 8):
|
|
End of week 04 |
| [5] |
- Systems of Linear Algebraic Equations: Gauss Elimination, Pivoting (Chapter 9)
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#9.1, 9.2, 9.8, 9.9
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End of week 05 |
| [6] |
- Matrix Inversion LU Decomposition, Banded Systems (Chapter 10)
Gauss-Seidel, Choleski Methods^ (Chapter 11)
|
#10.2, 10.3, 10.5, 10.7
#11.1, 11.2, 11.4, 11.6
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End of week 06 ----> TEST #01 |
| [7] |
- Review (Chapter 12):
|
|
End of week 07 |
| [8] |
- Curve Fitting: Linear Regression, Least Square Regression (Chapter 17)
|
#17.4, 17.6
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End of week 08 |
| [9] |
- Newton, and Lagrange Interpolation Polynomials (Chapter 18)
|
#18.1-18.3, 18.6
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End of week 09 |
| [10] |
- Fourier Approximation, Fourier Integrals^ & Transforms^, Fast Fourier Transform^ (Chapter 19)
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#19.4-19.5
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End of week 10 ----> TEST #02 |
| [11] |
- Review (Chapter 20):
|
|
End of week 11 |
| [12] |
- Numerical Integration: Trapezoidal Rule, Symson's Rule (Chapter 21)
Gauss Quadrature^ (Chapter 22)
|
#21.1, 21.2, 21.4, 21.6, 22.4
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End of week 12 |
| [13] |
- Review (Chapter 24):
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|
End of week 13 |
| [14] |
- Ordinary Differential Equations:Euler Method (Chapter 25)
Runge Kutta Method^, System of Simultaneous D.E.^ (Chapter 25)
|
#25.2, 25.5
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End of week 14 |
| [15] |
- Review (Chapter 28):
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End of week 15 |
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