Course title
Mathematical Methods in Physics and Engineering
Course description
This course focuses on the motion of a particle to understand and apply physics concept in real life. It starts with basic and derived physical quantities, vectors, and motion in one and two dimensions. This main discussion of this course is on the law of motions (Newton's first, second and third law)
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.
Goals and objectives

Goals and objectives Course Outcomes
1. Describe and analyze the principles of physics through motion of particle
A-1
2. Solve real life physics problems by applying the mathematical methods
A-1
3. Analyze the Newton's law of motion
A-1
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 100分
Class preparation and exercises 100分
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 100分
Class preparation and exercises 100分
3. Vectors
- Coordinate Systems
- Vector and Scalar Quantities
- Basic Vector Arithmetic
- Components of a Vector and Unit Vectors
Review the lecture 100分
Class preparation and exercises 100分
4. Vectors
- Coordinate Systems
- Vector and Scalar Quantities
- Basic Vector Arithmetic
- Components of a Vector and Unit Vectors
Review the lecture 100分
Class preparation and exercises 100分
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
- Relative Velocity and Relative Acceleration
Review the lecture 100分
Class preparation and exercises 100分
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
- Relative Velocity and Relative Acceleration
Review the lecture 100分
Class preparation and exercises 100分
7. Mid-term examination and discussions on the solutions afterwards Preparation for mid-term exam 100分
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 100分
Class preparation and exercises 100分
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 100分
Class preparation and exercises 100分
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 100分
Class preparation and exercises 100分
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 100分
Class preparation and exercises 100分
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 100分
Class preparation and exercises 100分
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 100分
Class preparation and exercises 100分
14. Final examination and discussions on the solutions afterwards Preparation for final exam 150分
Total. - - 2650分
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
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