String Theory and Holographic Duality

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 covers fundamental discrete mathematics for computer science and engineering. It focuses on mathematical definitions, proofs, and applicable methods, covering various topics such as logic symbols, proof techniques, sets, relations, and graph theory.

This course focuses on the design and implementation of secure computer systems, exploring various threat models and security techniques. Learners will engage with topics such as operating system security, network protocols, and hardware security, drawing insights from recent research papers.

This course provides a comprehensive introduction to systems engineering, focusing on both classical and modern approaches. Learners will explore key concepts such as stakeholder analysis, requirements definition, system architecture, and design optimization, applying these principles to real-world projects.

This course immerses learners in an artificial intelligence programming contest where teams create virtual robots to compete in Battlecode, a real-time strategy game. Participants will enhance their programming skills through hands-on experience and optional lectures on relevant topics.

This course focuses on the modeling and analysis of random phenomena and processes, emphasizing statistical inference and probabilistic thinking. Learners will explore essential models and tools that combine mathematical rigor with conceptual understanding.

This course explores the evolution of proofs in computer science, focusing on interactive proofs, multi-prover interactive proofs, and probabilistically checkable proofs. Learners will discover how to leverage cryptography to transform these advanced proof systems into computationally sound non-interactive arguments (SNARGs).

This course covers key topics in discrete applied mathematics, focusing on counting, generating functions, probability, and more. Learners will engage with both mathematical concepts and effective communication through writing assignments.

This course delves into complex variables, differential equations, and linear algebra, providing a comprehensive understanding of these essential mathematical concepts. Learners will explore foundational theories and applications that are crucial for advanced studies in mathematics and engineering.

This course enhances kanji learning through engaging video lectures covering kanji characters from Tobira lessons 6–10. Students will learn not only how to write kanji but also the fascinating stories behind each character.

This course explores the application of autonomy in real-world systems through the programming of cognitive robots. Learners will study advanced reasoning techniques and algorithms that enable robots to monitor themselves, schedule tasks, and collaborate with other agents.

This course introduces computational methods for solving physical problems, particularly in nuclear applications. Learners will study differential equations, numerical approximations, and various techniques for simulating particle behavior and conservation problems.

This course covers essential mathematical concepts widely used in mechanical engineering, focusing on linear algebra and ordinary differential equations (ODEs). Learners will explore numerical methods for solving systems of equations and apply these techniques to real-world engineering problems.

This course provides an overview of teaching and learning in K-12 settings, focusing on science and mathematics. Learners will explore educational technology, curriculum development, and the evolution of education policy.

This course assists undergraduates in learning the fundamentals of programming, with a specific focus on MATLAB®. Students will explore basic programming concepts and apply them to mathematical problems, enhancing their computational skills.

This course delves into the intricacies of high-level programming language implementation, focusing on compiler design and optimization techniques. Learners will engage in a hands-on project that involves building a compiler in Java® that generates MIPS executable machine code.

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 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 the experimental foundations of quantum physics. It introduces wave mechanics and one-dimensional and three-dimensional solutions to the Schrödinger equation.

This course covers the basics of electrical engineering and electronic circuits, teaching the fundamental principles required for electronic system design. Students will explore various topics, including resistive elements, switches, MOS transistors, and analog and digital circuits.