Browse Lessons

Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence...

Lecture 5: Zorn’s Lemma and the Hahn-Banach Theorem

Lecture 15: Orthonormal Bases and Fourier Series

Lecture 22: The Spectral Theorem for a Compact Self-Adjoint Operator

Lecture 9: Lebesgue Measurable Functions

Lecture 6: The Double Dual and the Outer Measure of a Subset of Real Numbers

Lecture 4: The Open Mapping Theorem and the Closed Graph Theorem

Lecture 7: Sigma Algebras

Lecture 2: Bounded Linear Operators

Lecture 3: Quotient Spaces, the Baire Category Theorem and the Uniform Boundedness Theorem

Lecture 11: The Lebesgue Integral of a Nonnegative Function and Convergence Theorems

Lecture 8: Lebesgue Measurable Subsets and Measure

Lecture 16: Fejer’s Theorem and Convergence of Fourier Series

Lecture 1: Basic Banach Space Theory

Learn Climate with Open MIT Resources

Unit 2: The Forecast is ‘Always’ wrong, Video 2: Demand Forecasts

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 1: Is Optimization Possible?

Unit 8: Decision Analysis 5 Video 5: Retrospective Overview

Unit 5: Mechanics of Simulation, Video 5: Physical Situation

Unit 4: Parking Garage Case Example, Video 5: Design to Manage Uncertainties

Unit 2: the Forecast is always wrong, Video 1: Cost Estimates

Unit 4: Parking Garage Case Example, Video 2: Logic of Analysis

Unit 11: LNG Case 1, Video 2: Introduction

Unit 2: The Forecast is "Always" wrong, Video 4: Common Forecasting Process Inherently Flawed

Unit 7: Drivers of Flexibility, Video 2: Economies of Scale

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 4: Consequences

Unit 8: Decision Analysis 1, Video 1: Advantages

Unit 9: Value of Information 5, Video 5: Is Test Worthwhile?

Unit 5: Mechanics of Simulation, Video 7: Value of Flex "in" Project

Unit 5: Mechanics of Simulation, Video 3: Outcomes and Target Curves

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 5: There's No Valid Group Utility

Unit 11: LNG Case 4, Video 5: Final Analysis

Unit 2: The Forecast is Always wrong, Video 3: Porcupine Graphs

Unit 2: The Forecast is Always wrong, Video 6: Flaw of Averages 2-the Consequences

Unit 2: The Forecast is Always wrong, Video 5: Flaw of Averages 1-the Concept

Unit 11: LNG Case 3, Video 4: Learning effects

Unit 5: Mechanics of Simulation, Video 1: Concept—What Is Needed

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 6: Dominated Solutions

Unit 9: Value of Information, Video 2: Value of Test

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 3: Conditions for Value Function

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 2: Diminishing Marginal Utility

Unit 8: Decision Analysis 2, Video 2: Decision Trees

Unit 9: Value of Information, Video 1: Concept of Test

Unit 8: Decision Analysis 3, Video 3: Constructing Trees

Unit 7: Drivers of Flexibility, Video 1: Five Main Drivers—Uncertainty is Most Important

Unit 5: Mechanics of Simulation, Video 2: Recommended Process

Unit 10: Utility Analysis and Multidimensional Evaluation, Video 7: Robustness and Take-aways

Unit 9: Value of Information, Video 3: Expected Value of Sample Information