•Course Purpose 
This course deals with vector analysis and differential equations. It aims to help students acquire the basic concepts and principles of these mathematical methods and to get the necessary proficiency to apply them to problems in engineering. It targets students who have completed freshmanlevel mathematics and physics courses and who are going to major advanced engineering subjects. 

•Prerequisite Subjects 
Fundamentals of Mathematics I, II, III, IV, Fundamentals of Physics I, II 

•Course Topics 
1.Vector Analysis 11 Basic properties of vector 12 Differentiation of vector 13 Curves 14 Surfaces 15 Vector field 15 Integral theorems for vector field 2.Ordinary differential equation 21 Laws in nature and ordinary differential equations 22 Elementary methods of solution for differential equations 23 Second order differential equation with constant coefficients 24 Highorder linear differential equation and system of first order differential equations 

•Textbook 
1. Vector Analysis, Morikazu Toda, Iwanami Shoten 2. Ordinary Differential Equation, Nobuo Yajima, Iwanami Shoten 

•Additional Reading 
Suggetsions are given at lectures. 

•Grade Assessment 
Midterm examination and termend examination. To pass, students must earn at least 60 points out of 100. 

•Notes 


•Contacting Faculty 
During the break after the lecture, or during the office hours. 