Physics I - 107 Academic Year

本課程是由 國立陽明交通大學電子物理系提供。

一門嚴謹完整的大一普通物理課程,除呈現物理現象外,更重要教導物理現象背後可使用的數學模型,課程中強調微分、積分、微分方程及向量微積分等數學技巧,用這些數學技巧來探索物理世界。是一門針對高中畢業生走向科學、工程專業研究領域的引導課程。

Reference Books:PHYSICS for Scientists and Engineers with Modern Physics,第九版(9th edition) by John W. Jewett, Jr. and Raymond A. Serway
For perfect learning results, please buy textbooks!

Instructor(s) Department of Electrophysics Prof. Wen-Bin Jian
Course Credits 4 Credits
Academic Year 107 Academic Year
Level Graduate Student, College Students
Prior Knowledge High School Math, High School Physics
Related Resources Course Video   Course Syllabus 

WeekCourse ContentCourse VideoCourse Download
Mathematics數學 (1/7)
1.1 Quadratic Equation
1.2 Linear Equations
1.3 Binomial Series
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Mathematics數學 (2/7)
1.4 Powers, Exponents
1.5 Logarithms
1.6 Trigonal Functions
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Mathematics數學 (3/7)
1.7 Differential Calculus
1.8 Partial Differential Calculus
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Mathematics數學 (4/7)
1.9 Taylor Expansion
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Mathematics數學 (5/7)
1.9 Taylor Expansion
1.10 Complex Numbers
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Mathematics數學 (6/7)
1.11 Integration
1.12 1st Order Differential Equation
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Mathematics數學 (7/7)
1.12 1st Order Differential Equation
1.13 2nd Order Differential Equation
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Physics & Measurements測量 (1/5)
2.1 Measurement Standard Length, Mass, and Time
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Physics & Measurements測量 (2/5)
2.1 Measurement Standard Length, Mass, and Time
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Physics & Measurements測量 (3/5)
2.1 Measurement Standard Length, Mass, and Time
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Physics & Measurements測量 (4/5)
2.2 Matter & Physical Model
2.3 Dimensional Analysis
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Physics & Measurements測量 (5/5)
2.4 Unit Conversion
2.5 Estimates and Order of Magnitude
2.6 Significant Figures
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Motion in One Dimension 一維運動 (1/6)
3.1 Position, Velocity and Speed
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Motion in One Dimension 一維運動 (2/6)
3.1 Position, Velocity and Speed
3.2 Instantaneous Velocity and Speed
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Motion in One Dimension 一維運動 (3/6)
3.3 Motion with Constant Velocity
3.4 Acceleration
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Motion in One Dimension 一維運動 (4/6)
3.5 Motion Diagram
3.6 Motion with Constant Acceleration
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Motion in One Dimension 一維運動 (5/6)
3.6 Motion with Constant Acceleration
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Motion in One Dimension 一維運動 (6/6)
3.6 Motion with Constant Acceleration
3.7 Freely Falling Object
3.8 Kinematic Equations & Calculus
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Motion in Two Dimension 二維運動 (1/6)
4.1 Vectors (向量)
4.2 Position, Velocity, and Acceleration
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Motion in Two Dimension 二維運動 (2/6)
4.2 Position, Velocity, and Acceleration
4.3 2nd Motion with Constant Acceleration
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Motion in Two Dimension 二維運動 (3/6)
4.4 Projectile Motion
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Motion in Two Dimension 二維運動 (4/6)
4.4 Projectile Motion
4.5 Uniform Circular Motion
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Motion in Two Dimension 二維運動 (5/6)
4.6 Tangential and Radial Acceleration
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Motion in Two Dimension 二維運動 (6/6)
4.7 Relative Velocity
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The Law of Motion 運動定律 (1/8)
5.1 The Concept of Force
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The Law of Motion 運動定律)(2/8)
5.2 Inertial Frame & Newton's 1st Law
5.3 Mass
5.4 Newton's 2nd Law
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The Law of Motion 運動定律 (3/8)
5.5 Gravitation Force and Weight
5.6 Newton's 3rd Law
5.7 The Fundamental Forces
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The Law of Motion 運動定律 (4/8)
5.8 Application of Newton's Law
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The Law of Motion 運動定律 (5/8)
5.8 Application of Newton's Law
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The Law of Motion 運動定律 (6/8)
5.8 Application of Newton's Law
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The Law of Motion 運動定律 (7/8)
5.8 Application of Newton's Law
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The Law of Motion 運動定律 (8/8)
5.9 Frictional Forces
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Circular Motion and Other Applications 牛頓力學應用 (1/7)
6.1 Newton's 2nd Law in Uniform Circular Motion
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Circular Motion and Other Applications 牛頓力學應用 (2/7)
6.1 Newton's 2nd Law in Uniform Circular Motion
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Circular Motion and Other Applications 牛頓力學應用 (3/7)
6.2 Nonuniform Circular Motion (變速率圓周運動)
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Circular Motion and Other Applications 牛頓力學應用 (4/7)
6.3 Motion in Accelerated Frames
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Circular Motion and Other Applications 牛頓力學應用 (5/7)
6.4 Motion in The Presence of Resistive Force
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Circular Motion and Other Applications 牛頓力學應用 (6/7)
6.4 Motion in The Presence of Resistive Force
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Circular Motion and Other Applications 牛頓力學應用 (7/7)
6.5 Numerical Integration-Euler's Methods
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Energy of a System 能量 (1/9)
7.1 Systems & Environments
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Energy of a System 能量 (2/9)
7.1 Systems & Environments
7.2 The Scalar Product of Vectors
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Energy of a System 能量 (3/9)
7.2 The Scalar Product of Vectors
7.3 Work Done by a Constant Force
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Energy of a System 能量 (4/9)
7.4 Work Done by a Varying Force
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Energy of a System 能量 (5/9)
7.4 Work Done by a Varying Force
7.5 Work-Kinetic Energy Theorem
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Energy of a System 能量 (6/9)
7.5 Work-Kinetic Energy Theorem
7.6 Potential Energy
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Energy of a System 能量 (7/9)
7.7 Conservative Forces
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Energy of a System 能量 (8/9)
7.8 Relation Between Potential Energy and Conservative Forces
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Energy of a System 能量 (9/9)
7.9 Energy Diagram and Equilibrium
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Conservation of Energy 能量守恆 (1/7)
8.1 Nonisolated System–Other Energy Transfer
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Conservation of Energy 能量守恆 (2/7)
8.1 Nonisolated System–Other Energy Transfer
8.2 Isolated System
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Conservation of Energy 能量守恆 (3/7)
8.2 Isolated System
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Conservation of Energy 能量守恆 (4/7)
8.3 Energy Concept for Non-Conservative Forces - Kinetic Friction
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Conservation of Energy 能量守恆 (5/7)
8.3 Energy Concept for Non-Conservative Forces - Kinetic Friction
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Conservation of Energy 能量守恆 (6/7)
8.4 Energy Quantization
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Conservation of Energy 能量守恆 (7/7)
8.4 Energy Quantization
8.5 Power
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (1/9)
9.1 Linear Momentum and Its Conservation
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (2/9)
9.1 Linear Momentum and Its Conservation
9.2 Impulse
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (3/9)
9.3 Collision in One Dimension
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (4/9)
9.3 Collision in One Dimension
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (5/9)
9.3 Collision in One Dimension
9.4 Collision in Two Dimension
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (6/9)
9.5 The Center of Mass
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (7/9)
9.5 The Center of Mass
9.6 Motion of a System of Particles
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (8/9)
9.6 Motion of a System of Particles
9.7 Deformable Systems
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Systems of Particles and Conservation of Linear Momentum 碰撞與動量守恆 (9/9)
9.8 Rocket Propulsion
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (1/10)
10.1 Angular Position, Velocity and Acceleration
10.2 Rotational Kinematics
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (2/10)
10.2 Rotational Kinematics
10.3 Angular and Translational Quantities (角度和平移量)
10.4 Rotational Kinetic Energy
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (3/10)
10.5 Calculation of Moments of Inertia
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (4/10)
10.5 Calculation of Moments of Inertia
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (5/10)
10.5 Calculation of Moments of Inertia
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (6/10)
10.5 Calculation of Moments of Inertia
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (7/10)
10.5 Calculation of Moments of Inertia
10.6 Torque
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (8/10)
10.7 The Rigid Body Under a Net Torque
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (9/10)
10.7 The Rigid Body Under a Net Torque
10.8 Rotational Energy
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Rotation of A Rigid Object About A Fixed Axis 轉動慣量 (10/10)
10.9 Rolling Motion
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Conservation of Angular Momentum 角動量守恆 (1/4)
11.1 Vector Product
11.2 Angular Momentum & Torque
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Conservation of Angular Momentum 角動量守恆 (2/4)
11.2 Angular Momentum & Torque
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Conservation of Angular Momentum 角動量守恆 (3/4)
11.3 Conservation of Angular Momentum
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Conservation of Angular Momentum 角動量守恆 (4/4)
11.4 The Motion of Gyroscopes and Tops
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Static Equilibrium & Elasticity 靜力平衡 (1/3)
12.1 The Rigid Body in Equilibrium
12.2 The Center of Gravity
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Static Equilibrium & Elasticity 靜力平衡 (2/3)
12.3 Examples of Rigid Body in Equilibrium
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Static Equilibrium & Elasticity 靜力平衡 (3/3)
12.4 Elastic Properties of Solids
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Fluids 流體力學 (1/6)
14.1 Pressure
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Fluids 流體力學 (2/6)
14.2 Variation of Pressure with Depth
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Fluids 流體力學 (3/6)
14.2 Variation of Pressure with Depth
14.3 Pressure Measurements
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Fluids 流體力學 (4/6)
14.4 Buoyancy Forces and Archimedes Principle
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Fluids 流體力學 (5/6)
14.5 Fluid Dynamics
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Fluids 流體力學 (6/6)
14.6 Bernoulli's Equation
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Oscillation Motion 簡諧運動 (1/9)
15.1 Motion of An Object Attached to a Spring
15.2 Simple Harmonic Motion
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Oscillation Motion 簡諧運動 (2/9)
15.2 Simple Harmonic Motion
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Oscillation Motion 簡諧運動 (3/9)
15.2 Simple Harmonic Motion
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Oscillation Motion 簡諧運動 (4/9)
15.3 Energy of a Simple Harmonic Oscillator
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Oscillation Motion 簡諧運動 (5/9)
15.4 Simple Harmonic Oscillator Versus Uniform Circular Motion
15.5 The Pendulum
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Oscillation Motion 簡諧運動 (6/9)
15.5 The Pendulum
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Oscillation Motion 簡諧運動 (7/9)
15.6 Damped Oscillation
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Oscillation Motion 簡諧運動 (8/9)
15.6 Damped Oscillation
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Oscillation Motion 簡諧運動 (9/9)
15.7 Forces Oscillation
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Wave Motion 波動 (1/6)
16.1 Propagation of a Disturbance
16.2 Traveling Wave Model
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Wave Motion 波動 (2/6)
16.2 Traveling Wave Model
16.3 The Speed of Waves
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Wave Motion 波動 (3/6)
16.3 The Speed of Waves
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Wave Motion 波動 (4/6)
16.4 Refection and Transmission
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Wave Motion 波動 (5/6)
16.5 Rate of Energy Transferred by Waves on Strings
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Wave Motion 波動 (6/6)
16.6 The Wave Equation
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Superposition and Standing Waves 駐波 (1/5)
17.1 Superposition & Interference
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Superposition and Standing Waves 駐波 (2/5)
17.1 Superposition & Interference
17.2 Standing Waves
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Superposition and Standing Waves 駐波 (3/5)
17.3 Standing Waves in Strings Fixed at Both Ends
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Superposition and Standing Waves 駐波 (4/5)
17.4 Standing Waves in Air Columns
17.5 Beats: Interference in Time
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Superposition and Standing Waves 駐波 (5/5)
17.6 Non-Sinusoidal Waves Patterns
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Temperature 溫度 (1/4)
18.1 Temperature and the 0th Law of Thermodynamics
18.2 Thermometers and the Celsius
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Temperature 溫度 (2/4)
18.2 Thermometers and the Celsius
18.3 The Absolute Temperature Scale
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Temperature 溫度 (3/4)
18.4 Thermal Expansion of Solids and Liquids
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Temperature 溫度 (4/4)
18.4 Thermal Expansion of Solids and Liquids
18.5 Thermodynamics of an Ideal Gas
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The First Law of Thermodynamics 熱力學第一定律 (1/6)
19.1 Heat and Internal Energy
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The First Law of Thermodynamics 熱力學第一定律 (2/6)
19.2 Specific Heat and Calorimetry
19.3 Latent Heat
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The First Law of Thermodynamics 熱力學第一定律 (3/6)
19.4 Work and Heat in Thermodynamics
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The First Law of Thermodynamics 熱力學第一定律 (4/6)
19.5 The First Law of Thermodynamics
19.6 Some Applications of the 1st Law
19.7 Thermal Energy Transfer
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The First Law of Thermodynamics 熱力學第一定律 (5/6)
19.7 Thermal Energy Transfer
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The First Law of Thermodynamics 熱力學第一定律 (6/6)
19.7 Thermal Energy Transfer
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Kinetic Theory of Gases 氣體動力學 (1/7)
20.1 Molecular Model of an Ideal Gas
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Kinetic Theory of Gases 氣體動力學 (2/7)
20.1 Molecular Model of an Ideal Gas
20.2 Molar Specific Heat of an Ideal Gas
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Kinetic Theory of Gases 氣體動力學 (3/7)
20.3 Adiabatic Processes for an Ideal Gas
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Kinetic Theory of Gases 氣體動力學 (4/7)
20.4 The Equipartition of Energy
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Kinetic Theory of Gases 氣體動力學 (5/7)
20.5 Distribution of Molecular Speed
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Kinetic Theory of Gases 氣體動力學 (6/7)
20.5 Distribution of Molecular Speed
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Kinetic Theory of Gases 氣體動力學 (7/7)
20.5 Distribution of Molecular Speed
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Heat Engines, Entropy, and The Second Law of Thermodynamics 繞力學第二定律 (1/6)
20.1 Heat Engines and The Second Law of Thermodynamics
20.2 Heat Pumps and Refrigerators
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Heat Engines, Entropy, and The Second Law of Thermodynamics 繞力學第二定律 (2/6)
20.2 Heat Pumps and Refrigerators
20.3 Reversible and Irreversible Processes
20.4 The Carnot Engine
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Heat Engines, Entropy, and The Second Law of Thermodynamics 繞力學第二定律 (3/6)
20.4 The Carnot Engine
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Heat Engines, Entropy, and The Second Law of Thermodynamics 繞力學第二定律 (4/6)
20.5 Gasoline and Diesel Engines
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Heat Engines, Entropy, and The Second Law of Thermodynamics 繞力學第二定律 (5/6)
20.6 Entropy and Its Changes in Irreversible Processes
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Heat Engines, Entropy, and The Second Law of Thermodynamics 繞力學第二定律 (6/6)
20.6 Entropy and Its Changes in Irreversible Processes
20.7 Entropy on a Microscopic Scale
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課程目標

本課程的教學目標如下:物理上學期課程包括數學能力、運動學、牛頓力學、圓周運動、能量與動量守恆、轉動動量、靜力平衡、重力、流體力學、振動、波動、聲波、熱力學。
(1) 介紹基本的物理領域範圍的知識
(2) 使用物理圖像來解釋物理機制
(3) 強調微積分、向量微積分等數學技巧在物理領域的應用
(4) 融合物理知識在生活層面的應用
(5) 在此基礎課程中引入半導體物理、奈米科學與量子物理的概念

 

課程章節

章節 章節內容
第零章 數學Quadratic Equation (一元二次方程式的根)
Linear Equations (二元一次或三元一次聯立方程組)
Binomial Series (二項式定理)
Powers, Exponents (指數函數)
Logarithms (對數函數)
Trigonal Functions (三角函數)
Differential Calculus (微分)
Partial Differential Calculus (偏微分)
Taylor Expansion (泰勒展開)
Complex Numbers (複數)
Intergration (積分)
First Order Differential
Equation (一階微分方程)
Second Order Differential
Equation (二階微分方程)
第一章 測量 Physics and MeasurementsMeasurement Standard - Length, Mass, and Time
Matter and Physical Model
Dimensional Analysis
Unit Conversion
Estimates and Order of Magnitude
Significant Figures
第二章 一維運動 Motion In One DimensionPostion, Velocity and Speed
Instantaneous Velocity and Speed
Motion with Constant Velocity
Acceleration
Motion Diagram Motion with Constant Acceleration
Freely Falling Object
Kinematic Equations & Calculus 
第四章 二維運動 Motion In Two DimensionsVectors
Postion, Velocity and Acceleration
2D Motion with Constant Acceleration
Projetile Motion
Uniform Circular Motion
Tangential and Radial Acceleration
Relative Velocity
第五章 運動定律 The Laws of MotionThe Concept of Force
Inertia Frame and Newton's First Law
Mass
Newton's Second Law
Gravitation Force and Weight
Newton's Third Law
The Fundamental Forces
Application of Newton's Law
Frictional Forces
第六章 牛頓力學應用 Circular Motion and Other ApplicationsNewton's Second Law in Uniform Circular Motion
Nonuniform Circular Motion(變速率圓周運動)
Motion in Accelerated Frames
Motion in The Presence of Resistive Force
Numerical Integration - Euler's Methods
第七章 能量 Energy of A SystemSystems and Environments
The Scarlar Product of Vectors
Work Done by a Constant Force
Work Done by a Varying Force
Work - Kinetic Energy Theorem
Potential Energy
Conservative Forces
Relation Between Potential Energy and Conservative Forces
Energy Diagram and Equilibrium
第八章 能量守恆 Conservation of EnergyNonisolated System - Other Energy Transfer
Isolated System
Energy Concept for Non-Conservative Forces - Kinetic Friction
Energy Quantization
Power
第九章 碰撞與動量守恆量 Systems of Particles and Conservation of Linear MomentumLinear Momentum and Its Conservation
Impulse
Collision in One Dimension
Collision in Two Dimensions
The Center of Mass
Motion of A System of Particles
Deformable Systems
Rocket Propulsion
第十章 轉動慣量 Rotation of A Rigid Object About A Fixed AxisAngular Postion, Velocity and Acceleration
Rotational Kinematics
Augular and Translational Quantities(角度和平移量)
Rotational Kinetic Energy
Calculation of Moments of Inertia
Torque
The Rigid Body Under A Net Torque
Rotational Energy
Rolling Motion
第十一章 角動量守恆 Conservation of Angular MomentumVector Product
Angular Momentum and Torque
Conservation of Angular Momentum
The Motion of Gyroscopes and Tops
第十二章 靜力平衡 Static Equilibrium and ElasticityThe Rigid Body in Equilibrium
The Center of Gravity
Examples of Rigid Body in Equilibrium
Elastic Properties of Solids
第十四章 流體力學 FluidsPressure
Variation of Pressure with Depth
Pressure Measurements
Buoyancy Forces and Archimede's Principle
Fluid Dynamics
Bernoulli's Equation
第十五章 簡諧振動 Oscillation MotionMotion of An Object Attached to A Spring
Simple Harmonic Motion
Energy of A Simple Harmonic Oscillator
Simple Harmonic Oscillator Versus Uniform Circular Motion
The Pendulum
Damped Oscillation
Forced Oscillation
第十六章 波動 Wave MotionPropagation of A Disturbance
Traveling Wave Model
The Speed of Waves
Reflection and Transmission
Rate of Energy Transferred by Waves on Strings
The Wave Equation
第十八章 駐波 Superposition and Standing WavesSuperposition and Interference
Standing Waves
Standing Waves in Strings Fixed at Both Ends
Standing Waves in Air Columns
Beats: Interference in Time
Non-Simusoidal Wave Patterns
第十九章 溫度 TemperatureTemperature and The 0th Law of Thermodynamics
Thermometers and The Celsius
The Absolute Temperature Scale
Thermal Expansion of Solids and Liquids
Thermodynamics of an Ideal Gas
第二十章 熱力學第一定律 The First Law of ThermodynamicsHeat and Internal Energy
Specific Heat and Calorimetry
Latent Heat
Work and Heat in Thermodynamics
The First Law of Thermodynamics
Some Applications of The 1st Law
Thermal Energy Transfer
第二十一章 氣體動力學 The Kinetic Theory of GasesMolecular Model of an Ideal Gas
Molar Specific Heat of an Ideal Gas
Adiabatic Processes for an Ideal Gas
The Equipartition of Energy
Distribution of Molecular Speed
第二十二章 熱力學第二定律 Heat Engines, Entropy and The Second Law of ThermodynamicsHeat Engines and The Second Law of Thermodynamics
Heat Pumps and Refrigerators
Reversible and Irreversible Processes
The Carnot Engine
Gasoline and Diesel Engines
Entropy and Its Changes in Irreversible Processes
Entropy on a Microscopic Scale

 

參考課程書目

PHYSICS for Scientists and Engineers with Modern Physics,第九版(9th edition) by John W. Jewett, Jr. and Raymond A. Serway