Applied Mathematics

Numbering Code U-AGR03 2C114 LJ83 Year/Term 2022 ・ First semester
Number of Credits 2 Course Type Lecture
Target Year 2nd year students Target Student
Language Japanese Day/Period Thu.2
Instructor name IIDA MICHIHISA (Graduate School of Agriculture Professor)
TAKEUCHI JIYUNICHIROU (Graduate School of Agriculture Associate Professor)
Outline and Purpose of the Course Many phenomena in regional environmental engineering and food biological science can be understood using mathematical tools. This course describes mathematical methods for describing and analyzing systems that evolve over time and changes in spatially distributed physical quantities, focusing on ordinary differential equations and partial differential equations.
Course Goals ・To develop the ability to express physical phenomena using differential equations and solve them.
・To develop the ability to engage with problems (reports) independently and continuously.
Schedule and Contents Basics of mathematical physics.

1. Solving ordinary differential equations (Iida: First 7 lectures)
 1) 1st order ODE (3 lectures)
 2) 2nd order ODE (3 lectures)
 3) Applications of ODE (1 lecture)

2. Solving partial differential equations (Takeuchi: Last 7 lectures)
 1) Classification of 2nd order PDE (1 lecture)
 2) Parabolic PDE (2 lectures)
 3) Elliptic PDE (2 lectures)
 4) Hyperbolic PDE (2 lectures)

Feedback:
 During the feedback period, we lecturers will be available in the laboratory to answer students' questions.
Evaluation Methods and Policy ・The total evaluation of both halves of the course (50 marks each) are considered.
・Class participation (attendance, reports, quizzes) is also considered for the result.
・The evaluation criteria and achievement level are in accordance with the "Evaluation Criteria and Achievement Level" described in the Student Handbook of the Faculty of Agriculture for the relevant year.
Course Requirements It is recommended that students have taken calculus A and B, linear algebra A and B, and basic physics A and B.
Study outside of Class (preparation and review) Make sure to solve the examples and exercises explained during class by yourself at least once.
Textbooks Textbooks/References Apart from this, printouts will be distributed during the lectures as necessary.
References, etc. Will be introduced during class
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