Course title
V01800012
Introduction to Advanced Mathematics

 ENOMOTO Yuko

NAKATSU Tomonori

TAMORI Hiroyoshi
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Department of Mathematical Sciences G-1 数理科学分野の専門知識・技術を修得し、それを問題解決に応用できる。
Department of Mathematical Sciences G-4 （国際プログラム対象の学修・教育目標）理工学の専門知識を外国語で理解し、その問題解決を外国語で行うことができる。
Purpose of class
Successful students will be able to show a deep understanding of calculus.
Successful students will be able to show a deep understanding of linear algebra.
Successful students will be able to show a deep understanding of probability theory.
Course description
This omnibus course introduces fundamental topics in calculus, linear algebra, and probability theory. Students learn the basic concepts and techniques of these areas and develop the mathematical foundation necessary for further study in mathematics, science, and finance.
Goals and objectives
  1. Students will be able to show a deep understanding of calculus.
  2. Students will be able to show a deep understanding of linear algebra.
  3. Students will be able to show a deep understanding of probability theory.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Exercises and assignments Examination Total.
1. 30% 30%
2. 20% 15% 35%
3. 35% 35%
Total. 85% 15% -
Evaluation method and criteria
Calculus 30%
Linear algebra 35%
Probability theory 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.
Language
English
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Review of calculus: derivatives Homework assignment #1-1 200minutes
2. Review of calculus: Mean value theorem Homework assignment #1-2 200minutes
3. Review of calculus: indefinite integrals Homework assignment #1-3 200minutes
4. Review of calculus: Riemann integrals Homework assignment #1-4 200minutes
5. Review of linear algebra: vector spaces Homework assignment #2-1 200minutes
6. Review of linear algebra: linear maps Homework assignment #2-2 200minutes
7. Review of linear algebra: bases Homework assignment #2-3 200minutes
8. Review of linear algebra: matrix representations Homework assignment #2-4 200minutes
9. Examination Review 200minutes
10. Probability space Review of lecture 200minutes
11. Random variable Review of lecture 200minutes
12. Distribution Review of lecture 200minutes
13. Expectation Review of lecture 200minutes
14. Application to finance Review of lecture 200minutes
Final assignment
Total. - - 2800minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
N/A
Prerequisites
Office hours and How to contact professors for questions
  • Send e-mail for appointment if necessary.
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 applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Wed Apr 29 11:29:06 JST 2026