Course title
V01800013
Introduction to Advanced Mathematics

kameko masaki Click to show questionnaire result at 2018

enomoto yuko

oya hironori
Course description
We focus on the tools necessary for 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.
Purpose of class
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 and calculus.
Goals and objectives
  1. Students will be able to read proofs critically.
  2. Students will be able to write proofs rigorously.
  3. Students will gain deeper understanding of linear algebra and calculus.
Language
English
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Proofs 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. Midterm examination and its review Review 200minutes
10. Review of calculus: derivatives Handout No.9 200minutes
11. Review of calculus: integrals Handout No.10 200minutes
12. Review of calculus: partial derivatives Handout No.11 200minutes
13. Review of calculus: double integrals Handout No.12 200minutes
14. Final examination and its review Review 200minutes
Total. - - 2800minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Midterm Final Total.
1. 10% 20% 30%
2. 10% 20% 30%
3. 40% 40%
Total. 20% 80% -
Evaluation method and criteria
Midterm exam and final exam 100%.
Textbooks and reference materials
Agata Stefanowicz, Proofs and Mathematical Reasoning. University of Birmingham, Mathematics support centre,
Prerequisites
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.
Office hours and How to contact professors for questions
  • 木曜日9:00--10:00(2019年度前期授業期間中の亀子のオフィスアワー)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Sat Mar 21 12:00:37 JST 2020