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  • Lecture 4: Production and Profit Maximization

    MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
    Instructor: Prof. Robert Townsend

    Uploaded 31-08-22

    View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/
    YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF

    How do profit maximizing firms decide on the level of employment, and on their input/output mix more generally? The problem is broken down into its component parts: feasible production technology, and the prices of inputs and outputs. Predictions are made for individual firms’ responses to domestic price changes with implications for profits. Surprisingly, the same constructs can be used for economy-wide responses to international tariffs, with implications for household welfare.

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 12 min
  • Lecture 25: Thermodiffusive Effects; Multicomponent Transport

    MIT 2.43 Advanced Thermodynamics, Spring 2024
    Instructor: Gian Paolo Beretta

    Uploaded 05-12-24

    View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
    Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
    Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il

    This lecture covers: Thermo-osmotic and mechano-caloric effects. Interdiffusion in a binary mixture, Maxwell-Stefan and Fick diffusion coefficients. Thermophoresis: Soret and Dufour effects. Multicomponent heat, mass, and charge transport.

    Instructor suggests to set viewing speed at 1.5 for faster learning.

    Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec25_pdf/

    Key moments:

    00:00:00 - Introduction
    00:00:19 - Onsager Cross Effects and Curie Symmetry Principle
    00:00:55 - Relation Between Independent Diffusive Fluxes
    00:01:51 - Relative Diffusive Fluxes and Forces
    00:04:43 - Cross Effects Between Vectorial Fluxes and Forces
    00:12:34 - Thermoelectric Effects
    00:13:06 - Second-Law Efficiency of Thermoelectric Generator
    00:22:46 - Thermo-Osmosis of Pure Substances in Porous Media
    00:29:39 - Interdiffusion of Two Constituents
    00:38:38 - Thermodiffusion Effects. Thermophoresis
    00:52:14 - Other Mechanisms for Molecular Transport in a Pore/Capillary
    01:05:07 - Modeling Electrochemical Systems
    01:08:47 - Nonequilibrium Beyond the Linear Regime
    01:08:57 - More on Far-Nonequilibrium Models
    01:17:00 - In 2024 Thermodynamics Turned 200 Years Old!
    01:17:17 - Prigogine Prize for PhD Theses in Thermodynamics
    01:19:03 - Thank You for Attending or Viewing These Lectures!

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 27 min
  • Lecture 11: Contracts and Mechanism Design

    MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
    Instructor: Prof. Robert Townsend

    Uploaded 31-08-22

    View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/
    YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF

    What exactly are smart contracts? The theory of mechanism design and the protocols for validation of decentralized ledgers are compared. Trust means different things to different people. Yet economics and computer science can come together. The tools of incentive compatibility, encryption, platforms, and programmability are explained and featured in key applications.

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 13 min
  • Lecture 19: Affinity and Nonequilibrium Law of Mass Action; Potential Energy Surface

    MIT 2.43 Advanced Thermodynamics, Spring 2024
    Instructor: Gian Paolo Beretta

    Uploaded 05-12-24

    View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
    Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
    Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il

    This lecture covers: Potential energy surface. Transitional state and activated complex. Affinity of a reaction. Nonequilibrium law of mass action for ideal and nonideal mixtures and solutions. Affinities vanish at chemical equilibrium. Complete chemical equilibrium.

    Instructor suggests to set viewing speed at 1.5 for faster learning.

    Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec19_pdf/

    Key moments:

    00:00:00 - Introduction
    00:00:27 - Second Law and State Principle for Reacting System
    00:01:47 - Hatsopoulos-Keenan Statement of the Second Law
    00:06:20 - State Principle and Maximum Entropy Principle
    00:09:20 - Review: Enthalpy of Formation and Bond Energies
    00:10:45 - Collisions
    00:13:19 - Potential Energy Surface and Activated Complex
    00:23:32 - Forward and Backward Half-Reactions
    00:28:57 - Extension of the Simple System Model: Assumptions
    00:42:13 - Fundamental Relation for Chemical Equilibrium
    00:46:53 - Necessary Condition for Chemical Equilibrium
    00:47:08 - Non-Equilibrium Law of Mass Action
    01:01:03 - Law of Mass Action in Terms of Activities
    01:02:37 - Temperature Dependence of Equilibrium Constants
    01:06:05 - Equilibrium Constants from Properties of Formation
    01:16:10 - Dissociation and NOx Formation in Combustion
    01:18:21 - Hydrocarbon Oxidation: Detailed Kinetic Mechanisms
    01:23:05 - Chemical Equilibrium Using Lagrange Multipliers
    01:28:37 - Complete Chemical Equilibrium

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 46 min
  • Lecture 15: Data and Policy in the United States

    MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
    Instructor: Prof. Robert Townsend

    Uploaded 31-08-22

    View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/
    YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF

    In the US, the China shock refers to increased imports from China of relatively low-priced manufactured goods. This has an impact that varies locally, namely on US manufacturers who produce the same goods and cannot complete. Documented also is the adverse impact on wage labor, due to layoffs. But there are surprises for outcomes and mitigating mechanisms, previously undocumented movements in state-level trade balances, current accounts, and remittance flows.

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 8 min
  • Lecture 9: Minimum Work of Partitioning Small Systems; The Gibbs Phase Rule; The Van der Waals Model

    MIT 2.43 Advanced Thermodynamics, Spring 2024
    Instructor: Gian Paolo Beretta

    Uploaded 05-12-24

    View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
    Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
    Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il

    This lecture covers: Minimum work of partitioning small systems. Review of equilibrium properties of pure substances. Gibbs phase rule. Clausius-Clapeyron relation. Representation on p-T, u-v-s, h-s, p-v diagrams. The van der Waals model of metastable liquid and vapor states.

    Instructor suggests to set viewing speed at 1.5 for faster learning.

    Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec09_pdf/

    Key moments:

    00:00:00 - Introduction
    00:00:09 - Results So Far Hold for Large and Small Systems
    00:00:53 - Review: Microscopic and Mesoscopic vs Macroscopic
    00:02:18 - Review: Rarefaction Effects Near Walls
    00:04:06 - Review: Neglecting Effects of Partitions
    00:04:24 - Review: Simple-System Model Limiting Assumptions
    00:04:58 - Review: Simple-System Model Implies Euler Relation
    00:07:19 - Review: Main Consequence of Euler Relation
    00:08:20 - Small Systems: Specific Properties Dependences
    00:11:50 - Small Systems: Minimum Work of Partitioning
    00:18:21 - Basic Simple-System Models for Pure Substances
    00:19:02 - Extensive Properties (Definition)
    00:21:45 - Specific Properties (Definition)
    00:24:20 - Intensive Properties and Intensive State
    00:26:48 - Homogeneous vs Heterogeneous States; Phases
    00:32:29 - Gibbs Phase Rule (Proof)
    00:39:25 - Gibbs Phase Rule (for a Pure Substance)
    00:47:27 - Fundamental Relation for a Pure Substance
    00:49:23 - Ideal Incompressible Solid or Fluid Model
    00:53:35 - Ideal Gas Model
    01:04:28 - Two-Phase States of a Pure Substance
    01:09:28 - Properties Liquid-Vapor States of a Pure Substance
    01:14:10 - Graphical Representation of Fundamental Relation
    01:17:35 - The u-s-v Fundamental Surface (Water)
    01:19:04 - The Mollier h-s Diagram (Water)
    01:19:50 - The $p$-$v$ Diagram (Water)
    01:20:47 - The $p$-$v$ Diagram (Van der Waals Model)
    01:30:15 - Exergies and Efficiencies in Energy Conversion
    01:30:38 - Exergy and Second-Law Efficiency in Cogeneration
    01:31:04 - Exergy of Bulk Flow Interactions

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 45 min
  • Lecture 10: Ledgers and Management

    MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
    Instructor: Prof. Robert Townsend

    Uploaded 31-08-22

    View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/
    YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF

    Finance accounts and management tools are keys to understanding village economies and to helping individual households and small businesses. Likewise, distributed ledgers and crypto currencies are keys to decentralized finance (DeFi), and are tools to improve contemporary financial systems. Remarkably, both of these two strands have the same, common root.

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 11 min
  • Lecture 1: Definitions of System, Property, State, and Weight Process; First Law and Energy

    MIT 2.43 Advanced Thermodynamics, Spring 2024
    Instructor: Gian Paolo Beretta

    Uploaded 05-12-24

    View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
    Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
    Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il

    This lecture covers: Definitions of system, property, state, dynamical law, process, weight process. Statement of the First Law. Definition of energy. Energy balance. Definitions of steady, unsteady, nonequilibrium, and stable, unstable and metastable equilibrium states.

    Instructor suggests to set viewing speed at 1.5 for faster learning.

    Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec01_pdf/

    Key moments:

    00:00:00 - Introduction
    00:01:11 - In 2024 Thermodynamics Turns 200 Years Old!
    00:01:51 - Some Pioneers of Thermodynamics
    00:03:11 - Reference Books by Members of the “Keenan School”
    00:06:21 - Course Outline - Part I
    00:11:01 - Course Outline - Part II
    00:11:22 - Course Outline - Part III
    00:12:11 - Course Outline - Grading Policy
    00:15:52 - Begin Review of Basic Concepts and Definitions
    00:18:32 - The Loaded Meaning of the Word System
    00:28:12 - The Loaded Meaning of the Word Property
    00:33:11 - What Exactly Do We Mean by the Word State?
    00:46:41 - General Laws of Time Evolution
    00:53:11 - Time Evolution, Interactions, Process
    00:55:01 - Definition of Weight Process
    01:06:01 - Statement of the First Law of Thermodynamics
    01:08:51 - Main Consequence of the First Law: Energy
    01:11:21 - Additivity and Conservation of Energy
    01:15:11 - Exchangeability of Energy via Interactions
    01:20:11 - Energy Balance Equation
    01:24:11 - States: Steady/Unsteady/Equilibrium/Nonequilibrium
    01:28:41 - Equilibrium States: Unstable/Metastable/Stable
    01:36:31 - Hatsopoulos-Keenan Statement of the Second Law

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
    Support OCW at http://ow.ly/a1If50zVRlQ

    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 47 min
  • Lecture 18: Aggregation

    MIT 14.04 Intermediate Microeconomic Theory, Fall 2020
    Instructor: Prof. Robert Townsend

    Uploaded 31-08-22

    View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/
    YouTube Playlist: https://www.youtube.com/watch?v=XSTSfCs74bg&list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF

    Micro and macro are often presented as two separate subfields of economics. When can they be reconciled with each other so that we can utilize the tools from both for economic science and to make statements about the welfare impacts of policy changes. When in the data might macro approximations be valid, and what are the indicators of micro foundations that must be made explicit and incorporated?

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
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    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 8 min
  • Lecture 2: Second Law and Entropy; Adiabatic Availability; Maximum Entropy Principle

    MIT 2.43 Advanced Thermodynamics, Spring 2024
    Instructor: Gian Paolo Beretta

    Uploaded 05-12-24

    View the complete course: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/
    Complete course table of contents with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_toc_slides_pdf/
    Complete course analytical index with hyperlinks to slides and video timestamps: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_index_slides_pdf/
    YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP6309d0oJDiVo1CvxUQXJ2il

    This lecture covers: Reversible process. Statement of the Second Law. Adiabatic availability. Mutual equilibrium. Temperature of a thermal reservoir. Definition of entropy. Entropy balance. Available energy. Maximum entropy principle. Fundamental stable equilibrium relation.

    Instructor suggests to set viewing speed at 1.5 for faster learning.

    Slides for this lecture: https://ocw.mit.edu/courses/2-43-advanced-thermodynamics-spring-2024/resources/mit2_43_s24_lec02_pdf/

    Key moments:

    00:00:00 - Introduction
    00:00:22 - Review: Course Objectives: Part I
    00:00:42 - The Loaded Meaning of the Word System
    00:01:56 - The Loaded Meaning of the Word Property
    00:02:24 - What Exactly Do We Mean by the Word State?
    00:02:44 - General Laws of Time Evolution
    00:03:54 - Time Evolution, Interactions, Process
    00:04:20 - Definition of Weight Process
    00:04:40 - Main Consequence of the First Law: Energy
    00:05:54 - Energy Balance Equation
    00:07:01 - States: Steady/Unsteady/Equilibrium/Nonequilibrium
    00:07:24 - Equilibrium States: Unstable/Metastable/Stable
    00:08:16 - Hatsopoulos-Keenan Statement of the Second Law
    00:09:44 - Consequences of First and Second Law together
    00:10:45 - Theorem: Kelvin-Planck Statement of the Second Law
    00:16:20 - Proof of the Kelvin-Planck Statement
    00:18:39 - What Exactly Do We Mean by Reversible Process?
    00:22:40 - Second Part of the Statement of the Second Law
    00:24:03 - Definition of Adiabatic Availability
    00:30:25 - Criterion for Reversibility of a Weight Process
    00:34:23 - Mutual Equilibrium and Thermal Reservoir
    00:41:05 - Feasibility of Standard Reversible Weight Process
    00:47:30 - Definition of Temperature of a Thermal Reservoir
    00:54:49 - Definition of Property Entropy
    00:57:32 - Available Energy w.r.to a Thermal Reservoir
    01:04:14 - Entropy: Engineering Meaning and Additivity
    01:07:16 - Entropy Cannot Decrease in a Weight Process
    01:07:38 - Criteria for Reversibility of a Weight Process
    01:10:08 - Exchangeability of Entropy via Interactions
    01:11:34 - Entropy Balance Equation
    01:17:33 - Maximum Entropy and Minimum Energy Principles
    01:25:14 - State Principle and Fundamental Relation
    01:36:53 - Partial Derivatives of the Fundamental Relation

    License: Creative Commons BY-NC-SA
    More information at https://ocw.mit.edu/terms
    More courses at https://ocw.mit.edu
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    We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.



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    1 hr 48 min

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A free and open online publication of educational material from thousands of MIT courses, covering the entire MIT curriculum, ranging from introductory to the most advanced graduate courses. On the…