標題: 物理(一)-105學年度
Physics I
作者: 簡紋濱
Open Education Office
開放教育推動中心
公開日期: 2016
摘要: 課程首頁

本課程由電子物理學系提供。

 

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。
課程概述與目標

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

 

課程大綱




單元主題

內容綱要



第0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 Measurements



Measurement 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 Dimension



Postion, Velocity and Speed

Instantaneous Velocity and Speed

Motion with Constant Velocity

Acceleration

Motion Diagram

Motion with Constant Acceleration

Freely Falling Object





第四章 向量與二維運動 Motion In Two Dimensions



Vectors

Postion, Velocity and Acceleration

2-D 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 Motion



The 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 圓周運動與其應用 Circular Motion and Other Applications



Newton's Second Law in Uniform Circular Motion

Nonuniform Circular Motion

Motion in Accelerated Frames

Motion in The Presence of Resistive Force

Numerical Integration - Euler's Methods





第七章 能量 Energy of A System



Systems 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 Energy



Nonisolated System - Other Energy Transfer

Isolated System

Energy Concept for Non-Conservative Forces - Kinetic Friction

Power





第九章 動量 Systems of Particles and Conservation of Linear Momentum



Linear 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 Axis



Angular Postion, Velocity and Acceleration

Rotational Kinematics

Augular and Translational Quantities

Rotational Kinetic Energy

Calculation of Moments of Inertia

Torque

The Rigid Body Under A Net Torque

Rotational Energy

Rolling Motion





第十一章 轉動慣量守恆 Conservation of Angular Momentum



Vector Product

Angular Momentum and Torque

Conservation of Angular Momentum

The Motion of Gyroscopes and Tops

Quantization of Angular Momentum





第十二章 靜力平衡 Static Equilibrium and Elasticity



The 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 Fluids



Pressure

Variation of Pressure with Depth

Pressure Measurements

Buoyancy Forces and Archimede's Principle

Fluid Dynamics

Bernoulli's Equation

Other Applications





第十五章 簡諧振動 Oscillation Motion



Motion 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 Motion



Propagation 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 Waves



Superposition 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 Temperature



Temperature 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 Thermodynamics



Heat 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 Gases



Molecular 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 Thermodynamics



Heat 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

 

評分標準




項目

百分比



每週作業,網路繳交

24%



每週網路小考

24%



期中考

26%



期末考

26%




 

上課形式

影音課程:自行上網學習,每週有網路測驗驗證學習效果(計算題)

隨堂作業:網路繳交作業,助教網路批改作業

期中與期末測驗:實際到校測驗,期中一次,期末一次,都是計算題
授課對象:大學生、研究生
預備知識:高中數學、高中物理
URI: http://ocw.nctu.edu.tw/course_detail.php?bgid=1&nid=533
http://hdl.handle.net/11536/132451
顯示於類別:開放式課程