Course title
物理数学Ⅰ   [Mathematical Physics Ⅰ]
Course category technology speciality courses,ets.  Requirement   Credit 2 
Department   Year 24  Semester 1st 
Course type 1st  Course code 022624
Instructor(s)
香取 浩子   [KATORI Hiroko]
Facility affiliation Faculty of Engineering Office   Email address

Course description
Natural laws in chemistry and physics are written by mathematics.
Mathematics will provide very useful tools to solve many important and interesting problems in chemistry and physics.
In this lecture. basic principles of mathematics are introduced,and then applications to chemistry and physics are clearly explained.
The lectures include differential and integral calculus, series expansions, differential equations, linear algebra, vector analysis,and some advanced topics.
Expected Learning
Students are expected to understand the following basic principles of mathematics,
(1) Concept of vector, differential, and integral,
(2) Solving a Simple Differential Equation,
(3) simple matrix operation,
(4) Simple vector analysis calculation,
and to understand how to apply mathematics to Mechanics, Electromagnetism and others in Chemistry and Physics.
Corresponding criteria in the Diploma Policy: See the Curriculum maps.
Course schedule
No.1 Introduction
No.2 Definition of vectors and their basic properties
No.3 Coordinate representations of vectors
No.4 Differential calculus and differential equations of motions, Summary of Chapter 1 (small test)
No.5 Taylor expansions and approximations
No.6 Partial differentials and total differentials
No.7 Transformations of integral variables for multiple integrals, Summary of Chapter 2(small test)
No.8 Applications of multiple integrals to rigid body rotations
No.9 Introduction to differential equations, Summary of Chapter 3(small test)
No.10 Some applications of differential equations
No.11 Matrix calculus and determinants, Summary of Chapter 4(small test)
No.12 Eigenvalue and eigenvector problems
No.13 Introduction to vector analysis, Summary of Chapter 5(small test)
No.14 The Gauss theorem and the Stokes theorem
No.15 Summary (final examination)
Prerequisites
Basic knowledge of mathematics learned in high school is necessary.
Students are recommended to prepare for and revise the lecture, spending the standard amount of time as specified by the University and using the lecture handouts as well as the references specified below.
Required Text(s) and Materials
香取眞理・中野 徹 著「物理数学の基礎」2001年(サイエンス社)ISBN 4-7819-0981-7
References
Reference books are introduced in the first lesson,
Assessment/Grading
Small test (5 times × 10% = 50%) at the end of chapter 1 to chapter 5 of the textbook.
Final examination (50%)
Message from instructor(s)
Course keywords
differential and integral calculus, series expansions, differential equations, vector analysis
Office hours
On demand.
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
5/23/2019 5:32:05 PM