Mathematical Science Course
Specialized education subjects (2022)
Subject division  Class Subject  Grade  Credit  Note  

Specialized basic subject  Core basic subject 
Mathematics for Science and Engineering A  1  2  Compulsory  
Mathematics for Science and Technology B  1  2  
Mechanics I  1  2  
Calculus  1  2  
Electromagnetism I  1  2  
Basic of Statistics  1  2  
Indivisual basic subject  Compulsory elective 
Exercise in Basic Mathematics A  1  2  Compulsory elective More than 4 credits 

Exercise in Basic Mathematics B  1  2  
Exercise for Classical Mechanics  1  2  
Mechanics II  1  2  
Optional  Differential Equations  2  2  Optional More than 24 credits 

Vector Analysis  2  2  
Probability and Statistics I  2  2  
Set Theory  2  2  
Topology  2  2  
Exercise in Applied Mathematics I  2  2  
Algebra I  2  2  
Exercise in Algebra I  2  2  
Algebra II  2  2  
Exercise in Algebra II  2  2  
Advanced Calculus I  2  2  
Exercise in Advanced Calculus I  2  2  
Advanced Calculus II  2  2  
Exercise in Advanced Calculus II  2  2  
Exercise on Basic Computational Science  2  2  
Geometry I  3  2  
Geometry II  3  2  
Specialized application subject 
Compulsory  Seminar in Mathematical Science A  4  2  Compulsory  
Seminar in Mathematical Science B  4  2  
Exercise in Mathematical English A  4  2  
Exercise in Mathematical English B  4  2  
English in Science and Technology  3  2  
Optional  Algebra III  3  2  Optional More than 18 credits 

Exercise in Algebra III  3  2  
Real Analysis  3  2  
Exercise in Real Analysis  3  2  
Complex Analysis  3  2  
Exercise in Complex Analysis  3  2  
Probability and Statistics II  3  2  
Optimization Theory  3  2  
Discrete Mathematics  3  2  
Exercise in Applied Mathematics II  3  2  
Exercise in Applied Mathematics III  3  2  
Game Theory  3  2  
Mathematical Economics  3  2  
Applied Computational Science  3  2  
Management subject 
Compulsory elective 
Business Management  2  2  Compulsory elective More than 4 credits 

Venture Business  2  2  
History of modern science  2  2  
Intellectual Property  3  2  
Engineering Ethics  3  2  
History of Business Enterprise Management I  4  2  
Graduate Thesis  4  12  Compulsory 
Credits required for graduation
Liberal arts education subjects More than 34 credits
Specialized education subjects More than 100 credits: Compulsory, Compulsory elective, Optional
Total More than 134 credits
*Among subjects offered by Hirosaki University (excluding subjects related to practice, experiments, and Teaching and Liberal Arts subjects), up to 16 credits can be included to the amount needed for graduation.
Materials Physics and Astrophysics Course
Specialized education subject (2022)
Subject division  Class Subject  Grade  Credit  Note  

Specialized basic subject  Core basic subjects 
Mathematics for Science and Engineering A  1  2  Compulsory  
Mathematics for Science and Technology B  1  2  
Calculus  1  2  
Mechanics I  1  2  
Electromagnetism I  1  2  
Basic of Statistics  1  2  
Fundamental Chemistry  2  2  
Indivisual basic subject  Compulsory  Exercise for Classical Mechanics  1  2  Compulsory  
Mechanics II  1  2  
Electromagnetism II  2  2  
Exercise on Electromagnetism  2  2  
Mathematical Physics I  2  2  
Analytical Mechanics  2  2  
Quantum Mechanics I  2  2  
Exercise on Quantum Mechanics I  2  2  
Exercise on Computational physics  2  4  
Fundamental Physics Laboratory I  2  2  
Mathematical Physics II  2  2  
Quantum Mechanics II  2  2  
Exercise on Quantum Mechanics II  2  2  
Thermal Physics  2  2  
Fundamental Physics Laboratory II  2  2  
Optional  Exercise in Basic Mathematics A  1  2  Optional  
Exercise in Basic Mathematics B  1  2  
Introduction to Earth and Environmental Science I  1  2  
Specialized application subject 
Compulsory  Topics on Advanced Physics I  2  2  Compulsory  
Topics on Advanced Physics II  2  2  
Special Topics on Physical Sciences  3  2  
Physics Laboratory I  3  2  
Physics Laboratory II  3  2  
Special Seminar on Physical Sciences A  4  2  
Special Seminar on Physical Sciences B  4  2  
English in Science and Technology  3  2  
Physics English A  4  2  
Physics English B  4  2  
Optional  Computer Simulation  2  2  Optional More than 6 credits 

Solid State Physics  2  2  
Statistical Mechanics  3  2  
Theory of Relativity  3  2  
Magnetism  3  2  
Physics of Superconductivity  3  2  
Surface Physics  3  2  
Solid State Spectroscopy  3  2  
Xray Physics  3  2  
Quantum mechanics and its application  3  2  
Cosmophysics  3  2  
Nuclear Physics  3  2  
Synchrotron Radiation Sciences  3  2  
Semiconductor Physics  3  2  
Crystallophysics  3  2  
Management subject 
Compulsory elective 
Business Management  3  2  Compulsory elective More than 4 credits 

Venture Business  3  2  
History of modern science  3  2  
Intellectual Property  3  2  
Engineering Ethics  3  2  
History of Business Enterprise Management I  3  2  
Graduate Thesis  4  12  Compulsory 
Credits required for graduation
Liberal arts education subjects More than 34 credits
Specialized education subjects More than 100 credits: Compulsory, Compulsory elective, Optional
Total More than 134 credits
*Among subjects offered by Hirosaki University (excluding subjects related to practice, experiments, and Teaching and Liberal Arts subjects), up to 12 credits can be included to the amount needed for graduation.
Applied Computational Science Course
Specialized education subject (2022)
Subject division  Class Subject  Grade  Credit  Note  

Specialized basic subject  Core basic subject 
Mathematics for Science and Engineering A  1  2  Compulsory  
Mathematics for Science and Technology B  1  2  
Mechanics I  1  2  
Calculus  1  2  
Electromagnetism I  1  2  
Basic of Statistics  1  2  
Indivisual basic subject  Compulsory  Algebra I  2  2  Compulsory  
Advanced Calculus I  2  2  
Algebra II  2  2  
Advanced Calculus II  2  2  
Electromagnetism II  2  2  
Quantum Mechanics I  3  2  
Probability and Statistics I  2  2  
Exercise on Computational physics  2  4  
Exercise on Basic Computational Science  2  2  
Compulsory elective 
Exercise in Basic Mathematics A  1  2  Compulsory elective More than 4 credits 

Exercise in Basic Mathematics B  1  2  
Exercise for Classical Mechanics  1  2  
Mechanics II  1  2  
Optional  Differential Equations  2  2  Optional More than 8 credits 

Vector Analysis  2  2  
Analytical Mechanics  3  2  
Quantum Mechanics II  3  2  
Set Theory  2  2  
Geometry I  3  2  
Geometry II  3  2  
Thermal Physics  2  2  
Specialized application subject 
Compulsory  Applied Computational Mathematics  3  2  Compulsory  
Applied Computational Science  3  2  
Computer Simulation  3  2  
English in Science and Technology  3  2  
Seminar in Computational Science A  4  2  
Seminar in Computational Science B  4  2  
English in Computational Science A  4  2  
English in Computational Science B  4  2  
Optional  Solid State Physics  3  2  Optional More than 12 credits 

Special Topics on Physical Sciences  3  2  
Introduction to Economics  3  2  
Complex Analysis  3  2  
Probability and Statistics II  3  2  
Optimization Theory  3  2  
Game Theory  3  2  
Discrete Mathematics  3  2  
Mathematical Economics  3  2  
Statistical Mechanics  3  2  
Theory of Relativity  3  2  
Quantum mechanics and its application  3  2  
Information security  3  2  
Management subject 
Compulsory elective 
Business Management  3  2  Compulsory elective More than 4 credits 

Venture Business  3  2  
History of modern science  3  2  
Intellectual Property  3  2  
Engineering Ethics  3  2  
History of Business Enterprise Management I  3  2  
Graduate Thesis  4  12  Compulsory 
Credits required for graduation
Liberal arts education subjects More than 34 credits
Specialized education subjects More than 100 credits: Compulsory, Compulsory elective, Optional
Total More than 134 credits
*Among subjects offered by Hirosaki University (excluding subjects related to practice, experiments, and Teaching and Liberal Arts subjects), up to 12 credits can be included to the amount needed for graduation.
Curriculum Policy
We provide a basic education in mathematics and physics, which are disciplines that explore the logic and laws necessary to understand natural and social phenomena, and develop the ability to solve problems based on scientific knowledge. From that perspective, the curriculum policy for each course is defined as follows.
Mathematical Science Course
 Mathematical knowledge helps in developing skills to analyze problems in natural/social science and technology, grasp them in mathematical terms, and find out essential laws lying behind them.
 The course helps develop the ability to resolve challenges mathematically and scientifically, by taking advantage of the knowledge of algebra, geometry, analysis, and applied mathematics.
 The course helps cultivate a habit to continue learning and working towards a solution to scientific/technical and social issues, with intellectually inquiring minds and free thinking.
Materials Physics and Astrophysics Course
 The ability to analyze problems in sciences, technology and society in order to find their essence will be cultivated.
 The ability to work on academic challenges and real problems in international and regional societies will be developed, based on an accumulated knowledge of physics.
 The ability to realize technological innovation, as engineers and researchers in the field of physics, will be developed.
 This course will also cultivate an attitude for continued learning towards problem solving with free and inquiring minds in academics and society.
Applied Computational Science Course
 The ability to deepen insight into nature and society, analyze problems, and determine issues by utilizing specialized knowledge related to computational science is cultivated through this course.
 The ability to apply specialized knowledge mainly related to computational science in problems and issues faced by the international/regional society is cultivated through this course.
 TThe ability to continue acquiring knowledge and skills needed to solve scientific/technical and social issues by intellectually inquiring minds and free thinking is cultivated through this course.