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 |

Homework assignment #1-1 | |||

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

Homework assignment #1-2 | |||

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

Homework assignment #1-3 | |||

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

Homework assignment #1-4 | |||

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

Homework assignment #2-1 | |||

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

Homework assignment #2-2 | |||

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

Homework assignment #2-3 | |||

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

Homework assignment #2-4 | |||

9. | Exercise and Examination 1 | Review | 200minutes |

Term-end assignment 1 | |||

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

Homework assignment #3-1 | |||

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

Homework assignment #3-2 | |||

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

Homework assignment #3-3 | |||

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

Homework assignment #3-4 | |||

14. | Exercise and Examination 2 | Review | 200minutes |

Term-end assignment 2 | |||

Total. | - | - | 2800minutes |

Take-home examination | Homework assignment | Term-end assignment | Examination | Total. | |
---|---|---|---|---|---|

1. | 15% | 15% | |||

2. | 15% | 15% | |||

3. | 20% | 15% | 35% | ||

4. | 35% | 35% | |||

Total. | 30% | 20% | 15% | 35% | - |

Take-home exam 30%

Homework assignment 20%

Term-end assignment 15%

Examination 35%

If applicable, based on quizzes and classroom activities, points may be added to final scores.

Homework assignment 20%

Term-end assignment 15%

Examination 35%

If applicable, based on quizzes and classroom activities, points may be added to final scores.

Ted Sundstrom, Mathematical Reasoning: Writing and Proof Version 3, available at https://scholarworks.gvsu.edu/books/24/

- 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 : Fri Mar 18 22:14:43 JST 2022