Real Analysis

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 offers a hands-on, project-based introduction to building scalable and high-performance software systems. Learners will explore performance analysis, algorithmic techniques, and optimizations to effectively utilize modern computing platforms.

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 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 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 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 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 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 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 course explores the transformative potential of blockchain technology in the realms of money and finance. Learners will study the fundamentals of blockchain, distributed ledgers, and smart contracts, with a focus on current and future applications in the financial sector.

This graduate course delves into the fundamental principles of Einstein's general theory of relativity, exploring topics such as differential geometry, black holes, and cosmology. Learners will engage with both the theoretical foundations and practical applications of general relativity.

This course surveys questions about human behavior and mental life, exploring topics such as perception, love, consciousness, and the nature of self. Students will engage with various theoretical perspectives, including biological, cognitive, and psychoanalytic, while experiencing psychology firsthand through demonstrations and discussions.

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 string theory course focuses on holographic duality (also known as gauge/gravity duality or AdS/CFT) as a novel method of approaching and connecting a range of diverse subjects, including quantum gravity, black holes, QCD at extreme conditions, exotic condensed matter systems, and quantum information.

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 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 covers the content necessary to understand and create machine learning algorithms, specifically deep learning and neural networks, through linear algebra concepts. It provides a comprehensive explanation of linear algebra, including applications in probability, statistics, and optimization.

This is an intermediate algorithm course that focuses on efficient algorithm design and analysis techniques. Learners will master various algorithm design paradigms, such as divide and conquer, dynamic programming, and greedy algorithms.

This calculus course covers the differentiation and integration of functions of a single variable, concluding with a brief discussion of infinite series. This course serves as the foundation for various scientific fields, including physics, engineering, and economics.

This course introduces major approaches to symbol-based music theory and musicology. Learners will explore various topics, including music theory algorithms, music generation, and machine learning.

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 course is a collection of tutorial videos that visually explore various topics in materials science and engineering. Learners will discover how to use the Wolfram Mathematica programming system to easily understand complex concepts.

This course covers the practical impact that quantitative methods have had on today's most important companies. Learners will study key quantitative methods that create a competitive advantage, such as data mining, dynamic optimization, and simulation.

This course covers the scientific principles of quantitatively assessing the risk of airborne transmission of COVID-19. You can understand the factors of transmission in indoor spaces and their interactions.

This course introduces the mathematical modeling of computational problems. It covers common algorithms, algorithmic paradigms, and the data structures used to solve these problems.

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 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.