Course title
M20300001
Mathematical Methods in Physics and Engineering
Course description
We will conduct online teaching for this course in Fall 2020.
This course focuses on the motion of a body or a system to understand and apply physics concept in real life. It starts with basic and derived physical quantities and several types of motion. This course also introduces wave related topics such as simple harmonic motion, mechanical wave and sound wave. Mechanical properties of matter and fluids are also included.
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. Learn about the principles of physics
A-1
2. Solve real life physics problems by applying the mathematical methods
A-1
3. Describe and analyze the experimental technique
A-1
Language
English
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Physical Quantities and Measurements
- Physical quantities and units
- Scalars and vectors
- Measurement and errors
Review the lecture 100分
Class preparation and exercises 100分
2. Kinematics of Linear Motion
- Uniformly accelerated motion
- Freely falling bodies
- Projectile motion
Review the lecture 100分
Class preparation and exercises 100分
3. Force, Momentum and Impulse
- Newton's law of motion
- Conservation of linear momentum and impulse
- Reaction and friction force
Review the lecture 100分
Class preparation and exercises 100分
4. Work, Energy and Power
- Conservation of energy
- Mechanical efficiency
Review the lecture 100分
Class preparation and exercises 100分
5. Static
- Equilibrium of a particle
- Polygon of forces
- Equilibrium of rigid body
Review the lecture 100分
Class preparation and exercises 100分
6. Circular Motion
- Uniform circular motion
- Centripetal force
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. Rotation of Rigid Body
- Relationship between linear & rotational motion
- Moment of inertia & torque
- Conservation of angular momentum
Review the lecture 100分
Class preparation and exercises 100分
9. Simple Harmonic Motion (SHM)
- Kinematics of SHM
- Graph of SHM
- Period of SHM
Review the lecture 100分
Class preparation and exercises 100分
10. Mechanical Wave
- Waves and energy
- Properties and types of waves
- Interferences of waves
Review the lecture 100分
Class preparation and exercises 100分
11. Sound Wave
- Propagation of sound wave
- Superposition and beats
- Intensity and Doppler effect
Review the lecture 100分
Class preparation and exercises 100分
12. Mechanical Properties of Matters
- Intermolecular potential energy and forces
- Young's modulus
Review the lecture 100分
Class preparation and exercises 100分
13. Fluid Mechanics
- Hydrostatic pressure
- Buoyancy
- Fluid dynamics and viscosity
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 applicatable
N/A N/A
Education related SDGs:the Sustainable Development Goals
• 4.QUALITY EDUCATION