Numerical analysis is a field to obtain approximate solutions of mathematical problems which are difficult to obtain exact
solutions. This field has been developed with the development of computers, and is used daily in various fields.

In this class, students learn basic algorithms in numerical analysis, and calculation using a computer.

In this class, students learn basic algorithms in numerical analysis, and calculation using a computer.

The purpose of this class is to understand the purpose of numerical analysis and to enable students to calculate basic algorithms
not only by hand but also by computer.

- To be able to understand basic facts in numerical analysis such as handling of numerical values in a computer and errors.
- To be able to apply basic algorithms for mathematical problems.
- To be able to implement basic algorithms in C.

Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|

1. | Overview of numerical analysis and error | Read through the textbook p.1-p.11 and handouts, and solve the exercises before class. Review after class. | 190minutes |

2. | Evaluation of algorithms | Read through the textbook p.11-p.14 and handouts, and solve the exercises before class. Review after class. | 190minutes |

3. | Examples of algorithms (variance, function value) | Read through the textbook p.14-p.20 and handouts, and solve the exercises before class. Review after class. | 190minutes |

4. | Bisection method and Newton's method | Read through the textbook p.26-p.32 and handouts, and solve the exercises before class. Review after class. | 190minutes |

5. | Gaussian elimination and LU decomposition method | Read through the textbook p.60-p.72 and handouts, and solve the exercises before class. Review after class. | 190minutes |

6. | Newton–Cotes formulas and composite rules | Read through the textbook p.87-p.94, p.112-p.122 and handouts, and solve the exercises before class. Review after class. | 190minutes |

7. | Euler method, Heun's method and Runge–Kutta method | Read through the textbook p.141-p.151 and handouts, and solve the exercises before class. Review after class. | 190minutes |

8. | Midterm examination and its explanation | Preparation of midterm examination. | 190minutes |

9. | Implementation in C: Calculating variance | Read through the handouts and solve the exercises before class. Review after class. | 190minutes |

10. | Implementation in C: Bisection method and Newton's method | Read through the handouts and solve the exercises before class. Review after class. | 190minutes |

11. | Implementation in C: Gaussian elimination and LU decomposition method | Read through the handouts and solve the exercises before class. Review after class. | 190minutes |

12. | Implementation in C: Newton–Cotes formulas and composite rules | Read through the handouts and solve the exercises before class. Review after class. | 190minutes |

13. | Implementation in C: Euler method, Heun's method and Runge–Kutta method | Read through the handouts and solve the exercises before class. Review after class. | 190minutes |

14. | Final examination and its explanation | Preparation of final examination. | 190minutes |

Total. | - | - | 2660minutes |

Midterm examination | Final examination | Reports and little examinations | Total. | |
---|---|---|---|---|

1. | 15% | 10% | 25% | |

2. | 20% | 13% | 33% | |

3. | 25% | 17% | 42% | |

Total. | 35% | 25% | 40% | - |

Midterm examination(35%), Final examination(25%), Reports and little examinations(40%)

60% if students can understand and solve exercises in the handouts

60% if students can understand and solve exercises in the handouts

Review Differential and Integral Calculus 1, Linear Algebra 1, Differential and Integral Calculus 2, Differential Equations,
and Practice on Information Processing

- Course that cultivates an ability for utilizing knowledge

Work experience | Work experience and relevance to the course content if applicable |
---|---|

N/A | 該当しない |

Last modified : Sat Jun 18 04:03:45 JST 2022