String Theory and Holographic Duality

This course covers elementary discrete mathematics for science and engineering, focusing on mathematical tools and proof techniques useful in computer science. Learners will explore topics such as logical notation, sets, relations, graph theory, state machines, and algorithms.

This course focuses on learning several rules to improve speaking skills in important situations. Learners can master effective presentation methods for various contexts, such as interviews, thesis defenses, and oral exams.

This course delves into projection theory, exploring how a set behaves under various orthogonal projections. Learners will engage with both classical techniques and contemporary applications across multiple mathematical disciplines, including harmonic analysis and analytic number theory.

This course provides an introduction to analysis and aims to teach how to prove mathematical theorems and write proofs. It also covers how to rigorously prove the theorems of calculus.

This course introduces the mathematical modeling of computational problems and the common algorithms, algorithmic paradigms, and data structures used to solve them. It emphasizes the relationship between algorithms and programming, and introduces basic performance measurement and analysis techniques.

This course provides an introduction to theory and data designed to meet the needs of students interested in economic science. It covers consumer choice, the theory of the firm, and general equilibrium models, along with the main results and tools used in these areas, applicable to economics and various other fields.

This course introduces students to the mathematical concepts and techniques essential in the financial industry, blending theoretical mathematics with practical applications. Learners will explore topics such as probability, statistics, and linear algebra, all within the context of finance.

This course explores the intersection of psychology and economics, focusing on behavioral economics and how human behavior diverges from traditional economic models. Learners will study recent advancements in the field and their applications across various economic sectors.

This course explores the role of government in the economy, applying tools of basic microeconomics to answer important policy questions. Learners will study various topics, including government responses to global warming, school choice, Social Security, and income tax rates.

This workshop provides essential knowledge for students preparing for the FAA Private Pilot Knowledge Test. Participants will explore topics such as airplane aerodynamics, navigation, meteorology, and aircraft systems, equipping them for successful flight training.

This course provides an introduction to key concepts in electrical engineering and computer science through the lens of digital communication systems. Learners will explore the foundational layers of bits, signals, and packets that underpin modern communication technologies, including the Internet.

This class provides some answers to basic questions about the nature of human language. Throughout the course, learners will examine how human language functions as a complex yet law-governed mental system, exploring topics such as language acquisition, historical language changes, and language endangerment.

This course provides an interdisciplinary survey of the experiences of people of African descent, exploring their social, political, and cultural histories through various academic lenses. Learners will engage with literature, philosophy, and media studies to understand the complexities of identity and power dynamics in the United States and beyond.

This course covers the basic concepts and applications of artificial intelligence, allowing you to learn the fundamentals of machine learning and deep learning. Learners will understand various algorithms and models and learn how to apply them to real-world problems.

This course covers the scientific study of human nature, exploring how the mind works and how the brain supports it. You will study a variety of topics, including cognition, emotion, learning, memory, child development, personality, psychopathology, and social interaction.

This course introduces the fundamental tools of game theory, the mathematical analysis of strategic interaction. Learners will learn how to use game theory to analyze various economic situations.

This course covers energy and heat transfer processes from the nanoscale to the macroscale, studying photons, electrons, phonons, and molecules in parallel as energy carriers. Learners will understand energy levels, statistical behavior, and forms of energy transfer.

This course explores the changing role of physics and physicists during the 20th century. It covers various topics including relativity, quantum mechanics, high-energy physics, and cosmology.

This course introduces various approaches to studying animal behavior. You will learn key concepts of animal behavior, including learning, habitat selection, and reproductive behavior.

This course introduces non-equilibrium thermodynamic methods by briefly reviewing general thermodynamic concepts, multicomponent equilibrium properties, chemical equilibrium, electrochemical potential, and chemical kinetics. Through this course, an integrated understanding of phase equilibrium, transport, and non-equilibrium phenomena useful for energy and climate engineering technologies is provided.

This course is a continuation of *8.05 Quantum Physics II* and introduces important model systems studied in modern physics. Learners will explore two-dimensional electronic systems, the fine structure of hydrogen, lasers, particle scattering, and more.

This course provides an introduction to nuclear science and its engineering applications. It explains basic nuclear models, radioactivity, nuclear reactions, and kinematics, and covers the interaction of ionizing radiation with matter.

This course includes demonstrations used to explain the theories and applications of lasers and optics. Learners can vividly observe and understand the fundamental phenomena of lasers.