Course title
M20300001
Mathematical Methods in Physics and Engineering

 SHAHROL BIN MOHAMADDAN
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
先進国際課程 A-1 A-1 Students shall obtain basic and advanced knowledge and skills in mathematics, natural and computer sciences as well as presentation skills to communicate on their knowledge with scholars from various fields.
(改組前)先進国際課程 A-1 A-1 Students shall obtain basic and advanced knowledge and skills in mathematics, natural and computer sciences as well as presentation skills to communicate on their knowledge with scholars from various fields.
Purpose of class
The purpose of this course is to provide students with selected principles of physics based on real life situations. In order to enhance their knowledge, students need to solve real life physics problems by applying the mathematical methods.
Course description
This course focuses on the motion of a particle to understand and apply physics concepts in real life. It starts with fundamental and derived physical quantities, vectors, and motion in one and two dimensions. The main discussion of this course is on the law of motion (Newton’s first, second, and third laws)
Goals and objectives
  1. Students will be able to describe and analyze the principles of physics through the motion of a particle
  2. Students will be able to Solve real-life physics problems by applying the mathematical methods
  3. Students will be able to analyze Newton’s law of motion
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Mid-term Exam etc. Final Exam Total.
1. 10% 20% 30%
2. 20% 20% 40%
3. 10% 20% 30%
Total. 40% 60% -
Evaluation method and criteria
Mid-term exam, quizzes, presentation on exercises etc. will contribute to 40% of the grade.
Final exam will contribute to 60% of the grade.
Passing rate is 60% of the full score
Language
English
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Motion in One Dimension
- Position, Velocity, and Speed of the a Particle
- Instantaneous Velocity and Speed
- Acceleration
- Motion Diagrams
- Free Falling Objects 		Review the lecture 100minutes
Class preparation and exercises 100minutes
2. Motion in One Dimension
- Position, Velocity, and Speed of the a Particle
- Instantaneous Velocity and Speed
- Acceleration
- Motion Diagrams
- Free Falling Objects 		Review the lecture 100minutes
Class preparation and exercises 100minutes
3. Vectors
- Coordinate Systems
- Vector and Scalar Quantities
- Basic Vector Arithmetic
- Components of a Vector and Unit Vectors 		Review the lecture 100minutes
Class preparation and exercises 100minutes
4. Vectors
- Coordinate Systems
- Vector and Scalar Quantities
- Basic Vector Arithmetic
- Components of a Vector and Unit Vectors 		Review the lecture 100minutes
Class preparation and exercises 100minutes
5. Motion in Two Dimensions
- The Position, Velocity, and Acceleration Vectors
- Two-Dimensional Motion with Constant Acceleration
- Projectile Motion
- Analysis Model: Particle in Circular Motion
- Tangential and Radial Acceleration
- Relative Velocity and Relative Acceleration 		Review the lecture 100minutes
Class preparation and exercises 100minutes
6. Motion in Two Dimensions
- The Position, Velocity, and Acceleration Vectors
- Two-Dimensional Motion with Constant Acceleration
- Projectile Motion
- Analysis Model: Particle in Circular Motion
- Tangential and Radial Acceleration
- Relative Velocity and Relative Acceleration 		Review the lecture 100minutes
Class preparation and exercises 100minutes
7. Mid-term examination and discussions on the solutions afterwards Preparation for mid-term exam 100minutes
8. The Laws of Motion
- The Concept of Force
- Newton’s First Law and Inertial Frames
- Mass
- Newton’s Second Law
- The Gravitational Force and Weight
- Newton’s Third Law
- Forces of Friction 		Review the lecture 100minutes
Class preparation and exercises 100minutes
9. The Laws of Motion
- The Concept of Force
- Newton’s First Law and Inertial Frames
- Mass
- Newton’s Second Law
- The Gravitational Force and Weight
- Newton’s Third Law
- Forces of Friction 		Review the lecture 100minutes
Class preparation and exercises 100minutes
10. The Laws of Motion
- The Concept of Force
- Newton’s First Law and Inertial Frames
- Mass
- Newton’s Second Law
- The Gravitational Force and Weight
- Newton’s Third Law
- Forces of Friction 		Review the lecture 100minutes
Class preparation and exercises 100minutes
11. Circular Motion and Other Applications of Newton’s Laws
- Extending the Particle in Uniform Circular Motion Model
- Nonuniform Circular Motion
- Motion in Accelerated Frames
- Motion in the Presence of Resistive Forces 		Review the lecture 100minutes
Class preparation and exercises 100minutes
12. Energy of a System
- Systems and Environments
- Work Done by a Constant Force
- The Scalar Product of Two Vectors
- Work Done by a Varying Force
- Kinetic Energy and the Work-Kinetic Energy Theorem
- Potential Energy of a System
- Conservative and Nonconservative Forces
- Relationship Between Conservative Forces and Potential Energy
- Energy Diagrams and Equilibrium of a System 		Review the lecture 100minutes
Class preparation and exercises 100minutes
13. Energy of a System
- Systems and Environments
- Work Done by a Constant Force
- The Scalar Product of Two Vectors
- Work Done by a Varying Force
- Kinetic Energy and the Work-Kinetic Energy Theorem
- Potential Energy of a System
- Conservative and Nonconservative Forces
- Relationship Between Conservative Forces and Potential Energy
- Energy Diagrams and Equilibrium of a System 		Review the lecture 100minutes
Class preparation and exercises 100minutes
14. Final examination and discussions on the solutions afterwards Preparation for final exam 150minutes
Total. - - 2650minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
The Others The discussion will be conducted after the test and assignment submission in order to improve student understanding.
Textbooks and reference materials
Raymond A. Serway, John W. Jewett, Jr. (2019). Physics for scientists and engineers, with modern physics (10th Edition). Singapore: Cengage Learning Asia PTE LTD
Prerequisites
None
Office hours and How to contact professors for questions
  • By appointment. Contact e-mail address: mshahrol@shibaura-it.ac.jp
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
Active-learning course
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Sat Mar 14 14:41:08 JST 2026