We focus on the tools necessary for writing and thinking like a mathematician. Students will learn to read proofs critically
and to write proofs rigorously. In addition, not only methods of proof, in this course, we review linear algebra and calculus.

Successful students will be able to read proofs critically.

Successful students will be able to write proofs rigorously.

Successful students will gain deeper understanding of linear algebra.

Successful students will gain deeper understanding of calculus.

Successful students will be able to write proofs rigorously.

Successful students will gain deeper understanding of linear algebra.

Successful students will gain deeper understanding of calculus.

- Students will be able to read proofs critically.
- Students will be able to write proofs rigorously.
- Students will gain deeper understanding of linear algebra.
- Students will gain deeper understanding of calculus.

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

1. | LaTeX | Handout No.1 | 200minutes |

2. | Direct proof | Handout No.2 | 200minutes |

3. | Proof by induction | Handout No.3 | 200minutes |

4. | Proof by contradiction | Handout No.4 | 200minutes |

5. | Review of linear algebra: vector spaces | Handout No.5 | 200minutes |

6. | Review of linear algebra: linear maps | Handout No.6 | 200minutes |

7. | Review of linear algebra: bases | Handout No.7 | 200minutes |

8. | Review of linear algebra: matrix representations | Handout No.8 | 200minutes |

9. | Examination 1 | Review | 200minutes |

10. | Review of calculus: derivatives | Handout No.9 | 200minutes |

11. | Review of calculus: Mean value theorem | Handout No.10 | 200minutes |

12. | Review of calculus: indefinite integrals | Handout No.11 | 200minutes |

13. | Review of calculus: Riemann integrals | Handout No.12 | 200minutes |

14. | Examination 2 | Review | 200minutes |

Total. | - | - | 2800minutes |

Take-home examination | Examination 1 | Examination 2 | Total. | |
---|---|---|---|---|

1. | 15% | 15% | ||

2. | 15% | 15% | ||

3. | 35% | 35% | ||

4. | 35% | 35% | ||

Total. | 30% | 35% | 35% | - |

Take-home exam 30%

Examination 1 35%

Examination 2 35%

If applicable, based on quizzes, homework assignments and/or classroom activities, points may be added to exam scores.

Examination 1 35%

Examination 2 35%

If applicable, based on quizzes, homework assignments and/or classroom activities, points may be added to exam scores.

Agata Stefanowicz, Proofs and Mathematical Reasoning. University of Birmingham, Mathematics support centre,

Elementary set theory, Calculus and linear algebra.

数学I,II,線形代数I,II, 数学基礎, 解析基礎の実践的な知識と経験を持っていることが望ましい.

TOEIC 550 以上相当の英語力があることが望ましい.

数学I,II,線形代数I,II, 数学基礎, 解析基礎の実践的な知識と経験を持っていることが望ましい.

TOEIC 550 以上相当の英語力があることが望ましい.

- 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 |

- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE

Last modified : Sun Mar 21 16:01:00 JST 2021