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 be able to show their deep understanding of linear algebra.
Successful students will be able to show their deep understanding of calculus.
Successful students will be able to write proofs rigorously.
Successful students will be able to show their deep understanding of linear algebra.
Successful students will be able to show their deep understanding of calculus.
- Students will be able to read proofs critically.
- Students will be able to write proofs rigorously.
- Students will be able to show their deep understanding of linear algebra.
- Students will be able to show their deep understanding of calculus.
| Quizzes | Examination 1 | Examination 2 | Total. | |
|---|---|---|---|---|
| 1. | 10% | 10% | ||
| 2. | 20% | 20% | ||
| 3. | 35% | 35% | ||
| 4. | 35% | 35% | ||
| Total. | 30% | 35% | 35% | - |
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Complex numbers | Handout No.1 | 200minutes |
| Homework assignment #1-1 | |||
| 2. | Quaternions | Handout No.2 | 200minutes |
| Homework assignment #1-2 | |||
| 3. | Rotations | Handout No.3 | 200minutes |
| Homework assignment #1-3 | |||
| 4. | Octonions | 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 |
Complex numbers, quaternions and octonions 30%
Linear algebra 35%
Calculus 35%
If applicable, based on quizzes and classroom activities, points may be added to final scores.
A passing grade will be given if the student clearly explains the rationale for the assignment while understanding the explanations given in class.
Linear algebra 35%
Calculus 35%
If applicable, based on quizzes and classroom activities, points may be added to final scores.
A passing grade will be given if the student clearly explains the rationale for the assignment while understanding the explanations given in class.
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class |
Practical knowledge and experience in Calculus I, II, Linear Algebra I, II, Fundamentals of Mathematics and Fundamentals of
Analysis are desirable.
English language proficiency equivalent to TOEIC 550 or above is desirable.
English language proficiency equivalent to TOEIC 550 or above is desirable.
- 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 : Wed Mar 12 04:12:51 JST 2025