大学物理A(1)(双语)
大学物理A(1)(双语)
1000+ 人选课
更新日期:2026/04/05
开课时间2026/03/01 - 2026/06/26
课程周期17 周
开课状态开课中
每周学时-
课程简介

The goal of this course is to lead you beyond the high-school level focus on “plug-and-chug” and into a deeper appreciation of the fundamental principles underlying all physical processes, as understood at the start of the 21st century. The most important of these principles are the “Momentum Principle” (i.e. Newton’s 2nd Law in its original form), the “Energy Principle”, and the “Angular Momentum Principle”. The first half of the course focuses on introducing these principles and applying them to analyze and predict the mechanical behavior of a wide range of real-world systems. The second half of the course introduces another fundamental principle, the “field” concept, which is used to explain electrical and magnetic phenomena, leading up to the realization that light itself is a form of electromagnetic radiation. 

这门课程的目标是带领大家超越高中时的“套公式”,能够深入理解所有物理过程背后的基本原理(基于21世纪初的理解)。这些原理中最重要的包括”动量“;课程的前半部分会重点介绍这些原理并运用他们来分析和预测现实世界中一大类问题的力学特性。后半部分课程会介绍另一些基本原理:场的概念,以解释电磁现象,最终导出光本身就是电磁辐射的一种形式。

Throughout the course, the atomic structure of matter is explicitly taken into account, and other “modern” concepts such as the relativistic definitions of momentum and energy are integrated into the body of the curriculum. By the end of the course, you should be able to use the fundamental principles of physics as a starting point for independently analyzing many complex physical systems.

物质的原子概念将贯穿课程始终,其他现代物理的概念诸如动量和能量的相对论定义会放在选修内容中介绍。学完本课程,你将学会如何以基本物理原理为出发  点去独立分析复杂物理系统。

课程大纲
课程参考教材
参考书目
1 Week 1
1.1 Introduction
1.2 Interactions cause change
1.3 Vectors: components and magnitude
1.4 What vectors can and cannot do
1.5 Unit vectors
1.6 Vector addition and subtraction
1.7 Displacement and velocity
1.8 Predicting a new position
1.9 Instantaneous velocity
1.10 Example: spacecraft
1.11 Momentum
1.12 Change in momentum
2 Week 2
2.1 Newton's 2nd Law
2.2 Impulse
2.3 How to predict the future (part 1)
2.4 How to predict the future (part 2)
2.5 What about F = ma?
2.6 Updating position
2.7 Non-constant force
2.8 Iterative prediction of motion
2.9 Can't we just use calculus?
2.10 A special case: constant force
2.11 Example: soccer penalty kick
2.12 Estimating interaction times
test1
3 Week 3
3.1 Classifying interactions
3.2 Gravitation
3.3 Example: Earth and the Moon
3.4 Solving the Earth's orbit iteratively
3.5 Gravitation near the Earth's surface
3.6 The electric force
3.7 Limitations on predicting the future
3.8 The ball-and-spring model of matter
3.9 Tension
3.10 Friction
4 Week 4
4.1 Conservation of momentum
4.2 Center of mass
4.3 Instantaneous version of Newtons 2nd Law
4.4 Statics: dp/dt = 0
4.5 Example: pushing a box, with friction
4.6 Judging the direction of dp/dt
4.7 Curving motion: parallel and perpendicular components of dp/dt
4.8 Components from the vector dot product
4.9 Example: a falling ball
4.10 Rate of change of direction
4.11 Example: kissing circle for falling ball
4.12 Example: swinging a bucket
test3-4
5 Week 5
5.1 The Energy Principle
5.2 Energy of a single particle
5.3 Kinetic energy
5.4 Work
5.5 Examples: cricket ball, neutron decay
5.6 Proof of the Energy Principle
5.7 Work done by a non-constant force
5.8 Potential energy
5.9 Gravitational potential energy
5.10 Example: Spacecraft leaving an asteroid
5.11 Bound and unbound states
5.12 Electrical potential energy
6 Week 6
6.1 Force is the negative gradient of potential energy
6.2 Spring potential energy
6.3 Example: bungee jumping
6.4 Path independence of potential energy
6.5 Internal energy
6.6 Dissipation and power
6.7 Translational and rotational kinetic energy
6.8 Moment of inertia
6.9 Calculating moment of inertia
6.10 Parallel axis theorem
6.11 Example: rolling down a hill
7 Week 7
7.1 Translational angular momentum
7.2 Direction of the angular momentum vector
7.3 Vector cross product
7.4 Example: a falling ball
7.5 Rotational angular momentum
7.6 Total angular momentum
7.7 Torque and the Angular Momentum Principle
7.8 Example: a comet
7.9 Angular Momentum Principle for multiparticle systems
7.10 Example: a seesaw
7.11 Example: a diver
7.12 Example: a stick sliding on ice
第5, 6及7章的测试
8 Week 8
8.1 Electric charge
8.2 Example: force between two protons
8.3 Electric field
8.4 Field of a single point charge
8.5 Example: where is the charge?
8.6 Superposition
8.7 Example: superposition of two charges
8.8 Electric dipole – parallel axis (part 1)
8.9 Electric dipole – parallel axis (part 2)
8.10 Electric dipole – perpendicular axis
8.11 Example: interaction between a dipole and a point charge
8.12 Dipole moment
9 Week 9
9.1 Charged particles in matter
9.2 How do objects become charged?
9.3 Example: how much charge on a piece of tape?
9.4 Polarization of atoms
9.5 Interaction between a neutral atom and a point charge
9.6 Polarization of insulators
9.7 Polarization of conductors
9.8 Charge motion in metals
9.9 Example: a rod and a ball
9.10 Practical limits on measuring the field
10 Week10
10.1 Uniform thin rod: introduction
10.2 Uniform thin rod: break it into pieces
10.3 Uniform thin rod: add up the pieces
10.4 Uniform thin rod: check the answer
10.5 Example: a hollow cylinder
10.6 Uniform thin ring
10.7 Uniform disk (part 1)
10.8 Uniform disk (part 2)
10.9 Example: a rod and a disk
10.10 Two uniform disks: a capacitor
10.11 Spherical charge distributions
11 Week11
11.1 Systems of charged objects
11.2 Potential difference in a uniform field
11.3 Field from potential difference
11.4 Potential difference in a non-uniform field
11.5 Potential difference near a point charge
11.6 Path independence
11.7 Potential at one location
11.8 Example: potential of a uniform ring
11.9 Potential difference in an insulator
11.10 Energy density and electric field
test 8-11周
12 Week12
12.1 Magnetic field
12.2 Biot-Savart Law for a single moving charge
12.3 Electron current
12.4 Conventional current
12.5 Biot-Savart Law for currents
12.6 Magnetic field of a long straight wire
12.7 Magnetic field of a circular current loop
12.8 Magnetic dipole moment
12.9 Magnetic field of a bar magnet
12.10 Atomic structure of magnets
13 Week13
13.1 Magnetic force on a moving charge
13.2 Magnetic force on a current-carrying wire
13.3 Combining electric and magnetic forces
13.4 The Hall effect
13.5 Motional emf
13.6 Magnetic torque
13.7 Potential energy for a magnetic dipole
13.8 Force on a magnetic dipole
13.9 Example: the Stern-Gerlach experiment
13.10 Motors and generators
test 12-13
14 Week14
14.1 Patterns of electric field
14.2 Electric flux
14.3 Gauss’s Law (part 1)
14.4 Gauss’s Law (part 2)
14.5 Reasoning from Gauss’s Law
14.6 Proving some important properties of metals
14.7 Gauss’s Law for magnetism
14.8 Patterns of magnetic field: Ampere’s Law
14.9 Applications of Ampere’s Law
14.10 Maxwell’s equations
15 Week15
15.1 Curly electric fields
15.2 Faraday’s Law (part 1)
15.3 Faraday’s Law (part 2)
15.4 Faraday’s Law and motional emf
15.5 Maxwell's equations (again)
15.6 Inductance
15.7 Energy density in magnetic fields
15.8 The Ampere-Maxwell Law
15.9 Fields traveling through space (part 1)
15.10 Fields traveling through space (part 2)
作业参考
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