Courses tagged with "Calculus I" (77)

Thinking about making things rotate. Center of mass, torque, moments and angular velocity. Center of Mass. Introduction to Torque. Moments. Moments (part 2). Relationship between angular velocity and speed. Conservation of angular momentum. Center of Mass. Introduction to Torque. Moments. Moments (part 2). Relationship between angular velocity and speed. Conservation of angular momentum.

In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off of cliffs (far safer on paper than in real life) and see how high a ball will fly in the air. Introduction to Vectors and Scalars. Calculating Average Velocity or Speed. Solving for Time. Displacement from Time and Velocity Example. Acceleration. Airbus A380 Take-off Time. Airbus A380 Take-off Distance. Why Distance is Area under Velocity-Time Line. Average Velocity for Constant Acceleration. Acceleration of Aircraft Carrier Takeoff. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity. Plotting Projectile Displacement, Acceleration, and Velocity. Projectile Height Given Time. Deriving Max Projectile Displacement Given Time. Impact Velocity From Given Height. Viewing g as the value of Earth's Gravitational Field Near the Surface. Projectile motion (part 1). Projectile motion (part 2). Projectile motion (part 3). Projectile motion (part 4). Projectile motion (part 5). Introduction to Vectors and Scalars. Calculating Average Velocity or Speed. Solving for Time. Displacement from Time and Velocity Example. Acceleration. Airbus A380 Take-off Time. Airbus A380 Take-off Distance. Why Distance is Area under Velocity-Time Line. Average Velocity for Constant Acceleration. Acceleration of Aircraft Carrier Takeoff. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity. Plotting Projectile Displacement, Acceleration, and Velocity. Projectile Height Given Time. Deriving Max Projectile Displacement Given Time. Impact Velocity From Given Height. Viewing g as the value of Earth's Gravitational Field Near the Surface. Projectile motion (part 1). Projectile motion (part 2). Projectile motion (part 3). Projectile motion (part 4). Projectile motion (part 5).

Pendulums. Slinkies. You when you have to use the bathroom but it is occupied. These all go back and forth over and over and over again. This tutorial explores this type of motion. Introduction to Harmonic Motion. Harmonic Motion Part 2 (calculus). Harmonic Motion Part 3 (no calculus). Introduction to Harmonic Motion. Harmonic Motion Part 2 (calculus). Harmonic Motion Part 3 (no calculus).

Thermodynamics (part 1). Thermodynamics (part 2). Thermodynamics (part 3). Thermodynamics (part 4). Thermodynamics (part 5). Macrostates and Microstates. Quasistatic and Reversible Processes. First Law of Thermodynamics/ Internal Energy. More on Internal Energy. Work from Expansion. PV-diagrams and Expansion Work. Proof: U=(3/2)PV or U=(3/2)nRT. Work Done by Isothermic Process. Carnot Cycle and Carnot Engine. Proof: Volume Ratios in a Carnot Cycle. Proof: S (or Entropy) is a valid state variable. Thermodynamic Entropy Definition Clarification. Reconciling Thermodynamic and State Definitions of Entropy. Entropy Intuition. Maxwell's Demon. More on Entropy. Efficiency of a Carnot Engine. Carnot Efficiency 2: Reversing the Cycle. Carnot Efficiency 3: Proving that it is the most efficient. Enthalpy. Heat of Formation. Hess's Law and Reaction Enthalpy Change. Gibbs Free Energy and Spontaneity. Gibbs Free Energy Example. More rigorous Gibbs Free Energy/ Spontaneity Relationship. A look at a seductive but wrong Gibbs/Spontaneity Proof. Stoichiometry Example Problem 1. Stoichiometry Example Problem 2. Limiting Reactant Example Problem 1. Empirical and Molecular Formulas from Stoichiometry. Example of Finding Reactant Empirical Formula. Stoichiometry of a Reaction in Solution. Another Stoichiometry Example in a Solution. Molecular and Empirical Forumlas from Percent Composition. Hess's Law Example. Thermodynamics (part 1). Thermodynamics (part 2). Thermodynamics (part 3). Thermodynamics (part 4). Thermodynamics (part 5). Macrostates and Microstates. Quasistatic and Reversible Processes. First Law of Thermodynamics/ Internal Energy. More on Internal Energy. Work from Expansion. PV-diagrams and Expansion Work. Proof: U=(3/2)PV or U=(3/2)nRT. Work Done by Isothermic Process. Carnot Cycle and Carnot Engine. Proof: Volume Ratios in a Carnot Cycle. Proof: S (or Entropy) is a valid state variable. Thermodynamic Entropy Definition Clarification. Reconciling Thermodynamic and State Definitions of Entropy. Entropy Intuition. Maxwell's Demon. More on Entropy. Efficiency of a Carnot Engine. Carnot Efficiency 2: Reversing the Cycle. Carnot Efficiency 3: Proving that it is the most efficient. Enthalpy. Heat of Formation. Hess's Law and Reaction Enthalpy Change. Gibbs Free Energy and Spontaneity. Gibbs Free Energy Example. More rigorous Gibbs Free Energy/ Spontaneity Relationship. A look at a seductive but wrong Gibbs/Spontaneity Proof. Stoichiometry Example Problem 1. Stoichiometry Example Problem 2. Limiting Reactant Example Problem 1. Empirical and Molecular Formulas from Stoichiometry. Example of Finding Reactant Empirical Formula. Stoichiometry of a Reaction in Solution. Another Stoichiometry Example in a Solution. Molecular and Empirical Forumlas from Percent Composition. Hess's Law Example.

You understand velocity and acceleration well in one-dimension. Now we can explore scenarios that are even more fun. With a little bit of trigonometry (you might want to review your basic trig, especially what sin and cos are), we can think about whether a baseball can clear the "green monster" at Fenway Park. Visualizing Vectors in 2 Dimensions. Projectile at an Angle. Different Way to Determine Time in Air. Launching and Landing on Different Elevations. Total Displacement for Projectile. Total Final Velocity for Projectile. Correction to Total Final Velocity for Projectile. Projectile on an Incline. Unit Vectors and Engineering Notation. Clearing the Green Monster at Fenway. Green Monster at Fenway Part 2. Unit Vector Notation. Unit Vector Notation (part 2). Projectile Motion with Ordered Set Notation. Optimal angle for a projectile part 1. Optimal angle for a projectile part 2 - Hangtime. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed). Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus. Race Cars with Constant Speed Around Curve. Centripetal Force and Acceleration Intuition. Visual Understanding of Centripetal Acceleration Formula. Calculus proof of centripetal acceleration formula. Loop De Loop Question. Loop De Loop Answer part 1. Loop De Loop Answer part 2. Visualizing Vectors in 2 Dimensions. Projectile at an Angle. Different Way to Determine Time in Air. Launching and Landing on Different Elevations. Total Displacement for Projectile. Total Final Velocity for Projectile. Correction to Total Final Velocity for Projectile. Projectile on an Incline. Unit Vectors and Engineering Notation. Clearing the Green Monster at Fenway. Green Monster at Fenway Part 2. Unit Vector Notation. Unit Vector Notation (part 2). Projectile Motion with Ordered Set Notation. Optimal angle for a projectile part 1. Optimal angle for a projectile part 2 - Hangtime. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed). Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus. Race Cars with Constant Speed Around Curve. Centripetal Force and Acceleration Intuition. Visual Understanding of Centripetal Acceleration Formula. Calculus proof of centripetal acceleration formula. Loop De Loop Question. Loop De Loop Answer part 1. Loop De Loop Answer part 2.

Introduction to Waves. Amplitude, Period, Frequency and Wavelength of Periodic Waves. Introduction to the Doppler Effect. Doppler effect formula when source is moving away. When the source and the wave move at the same velocity. Mach Numbers. Specular and Diffuse Reflection. Specular and Diffuse Reflection 2. Refraction and Snell's Law. Refraction in Water. Snell's Law Example 1. Snell's Law Example 2. Total Internal Reflection. Virtual Image. Parabolic Mirrors and Real Images. Parabolic Mirrors 2. Convex Parabolic Mirrors. Convex Lenses. Convex Lens Examples. Doppler effect formula for observed frequency. Concave Lenses. Object Image and Focal Distance Relationship (Proof of Formula). Object Image Height and Distance Relationship. Introduction to Waves. Amplitude, Period, Frequency and Wavelength of Periodic Waves. Introduction to the Doppler Effect. Doppler effect formula when source is moving away. When the source and the wave move at the same velocity. Mach Numbers. Specular and Diffuse Reflection. Specular and Diffuse Reflection 2. Refraction and Snell's Law. Refraction in Water. Snell's Law Example 1. Snell's Law Example 2. Total Internal Reflection. Virtual Image. Parabolic Mirrors and Real Images. Parabolic Mirrors 2. Convex Parabolic Mirrors. Convex Lenses. Convex Lens Examples. Doppler effect formula for observed frequency. Concave Lenses. Object Image and Focal Distance Relationship (Proof of Formula). Object Image Height and Distance Relationship.

Work and energy. Potential energy. Kinetic energy. Mechanical advantage. Springs and Hooke's law. Introduction to work and energy. Work and Energy (part 2). Conservation of Energy. Work/Energy problem with Friction. Introduction to mechanical advantage. Mechanical Advantage (part 2). Mechanical Advantage (part 3). Intro to springs and Hooke's Law. Potential energy stored in a spring. Spring potential energy example (mistake in math). Introduction to work and energy. Work and Energy (part 2). Conservation of Energy. Work/Energy problem with Friction. Introduction to mechanical advantage. Mechanical Advantage (part 2). Mechanical Advantage (part 3). Intro to springs and Hooke's Law. Potential energy stored in a spring. Spring potential energy example (mistake in math).

This is an introduction to quantum computation, a cutting edge field that tries to exploit the exponential power of computers based on quantum mechanics. The course does not assume any prior background in quantum mechanics, and can be viewed as a very simple and conceptual introduction to that field.

Quantum computation is a remarkable subject building on the great computational discovery that computers based on quantum mechanics are exponentially powerful. This course aims to make this cutting-edge material broadly accessible to undergraduate students, including computer science majors who do not have any prior exposure to quantum mechanics. The course starts with a simple introduction to the fundamental principles of quantum mechanics using the concepts of qubits (or quantum bits) and quantum gates. This treatment emphasizes the paradoxical nature of the subject, including entanglement, non-local correlations, the no-cloning theorem and quantum teleportation. The course covers the fundamentals of quantum algorithms, including the quantum fourier transform, period finding, Shor's quantum algorithm for factoring integers, as well as the prospects for quantum algorithms for NP-complete problems. It also discusses the basic ideas behind the experimental realization of quantum computers, including the prospects for adiabatic quantum optimization and the D-Wave controversy.

Before your course starts, try the new edX Demo where you can explore the fun, interactive learning environment and virtual labs. Learn more.

Do I need a textbook for this class?
No. Notes will be posted each week. If you wish to consult other references, a list of related textbooks and online resources will be provided.

What is the estimated effort for course?
About 5-12 hrs/week.

Why is the work load range so wide?
How long you spend on the course depends upon your background and on the depth to which you wish to understand the material. The topics in this course are quite open ended, and will be presented so you can understand them at a high level or can try to follow it at a sophisticated level with the help of the posted notes.

How much does it cost to take the course?
Nothing! The course is free.

Will the text of the lectures be available?
Yes. All of our lectures will have transcripts synced to the videos.

Do I need to watch the lectures live?
No. You can watch the lectures at your leisure.

The study of the night sky instilled wonder in our ancestors. Modern astronomy extends the human view to previously unexplored regions of space and time. In this course, you will gain an understanding of these discoveries through a focus on relativity—Einstein's fascinating and non-intuitive description of the physical world. By studying relativity and astronomy together, you will develop physical insight and quantitative skills, and you’ll regain a profound sense of wonder for the universe we call home.

FAQ

• What topics will the course cover?
  • Section One—Introduction
  • Section Two—3, 2, 1 … Launching the journey into spacetime
  • Section Three—Special relativity: from light to dark
  • Section Four—General relativity: from flat to curved

• Is there a required textbook?

  • No textbook is required. Notes will be posted weekly. A list of supplemental resources, including textbooks, will be provided.​​

• What are the learning outcomes of this course?

  • Explain the meaning and significance of the postulates of special and general relativity.

  • Discuss significant experimental tests of both special and general relativity.

  • Analyze paradoxes in special relativity.

  • Apply appropriate tools for problem solving in special relativity.

  • Describe astrophysical situations where the consequences of relativity qualitatively impact predictions and/or observations.

  • Describe daily situations where relativity makes a difference.

The course will provide an overview of the knowledge acquired during the past 20 years in the domain of exoplanets. It will review the different detection methods, their limitations, and the information provided on the orbital system and the planet itself, and how this information is helping our understanding of planet formation.

Explore the solar system using concepts from physics, chemistry, biology, and geology. Learn the latest from Mars, explore the outer solar system, ponder planets outside our solar system, and search for habitability in the universe.

This course offers you the opportunity to gain a deeper understanding of the life and work of the young Albert Einstein and especially his mind-bending special theory of relativity.

Курс посвящен изучению базовых законов электростатики и магнитостатики.

以深入淺出的概念說明日常生活與科學應用中常見的光學現象，特色在於大量的範例以及實驗展示。

电磁学是普通物理系列中最重要的基础课之一，是高等学校每一个理工科学生必修课程，本课程包括静电场、导体与电介质、恒定电流、恒磁场、磁介质、电磁感应、交流电、电磁场与电磁波等内容，首次系统地向学生介绍“场”的概念和处理“场”的方法，对学生今后学习和工作有深远的影响。本课程作为北京大学首次向中学开放的中国大学先修课（AP课程）之一，为有志于学习物理及相关专业的学有余力的优秀中学生，培养学科兴趣，提高科学素养，打下扎实的物理基础提供学习的环境和应有的资源。