Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler

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 provides an interactive introduction to discrete mathematics for computer science and engineering. Learners will study fundamental mathematical concepts, discrete structures, and discrete probability theory, developing the ability to apply these to various fields of computer science.

This course emphasizes the structural principles of digital systems and introduces architectures commonly applied across various technologies. Learners will cover a wide range of topics, including multi-level implementation strategies, the definition and mechanisms of new primitive elements, and performance measurement.

This course covers differentiation, integration, and vector calculus for multivariable functions. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics, and computer graphics.

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.

This course is the first in the undergraduate quantum physics sequence and introduces the fundamental features of quantum mechanics. It covers experimental foundations, wave mechanics, and the Schrödinger equation in one and three dimensions.

This course covers the tools of probability theory and statistical inference, providing essential content for data analysis and understanding. Learners can acquire methods for utilizing data in various fields.

This course explores the nature of intelligence, how the brain generates it, and how it can be replicated in machines. You will learn through an integrated approach that combines cognitive science, neuroscience, computer science, and artificial intelligence.

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 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 theory of special relativity proposed by Albert Einstein in 1905, which has profoundly influenced our perspective on physics, space, and time. Learners will explore various concepts such as length contraction, time dilation, and the Lorentz transformation.

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 is an introduction to the phenomenology and experimental foundations of nuclear and particle physics, covering fundamental forces, particles, and composites. Emphasis is placed on the experimental establishment of key models, as well as the theoretical tools and experimental equipment used for this purpose.

In this course, you will explore how matter is composed and why it behaves the way it does, learning how to understand the physical world through chemical intuition. Learners will gain an understanding of the electronic structure of matter and the various properties that arise from it.

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 covers the fundamental concepts of electromagnetism and teaches how to connect theories related to Maxwell's equations with actual physical phenomena. Students will come to understand physical meanings through the mathematical analysis of electromagnetics.

This seminar focuses on learning basic conversational Italian, Italian culture, and the Mediterranean diet. Participants can pick up the Italian language and culture bit by bit while preparing delicious dishes.

This is optimization theory required for AI/deep learning, computer vision, computer graphics, and more. Optimization Theory 1 focuses primarily on the definition of multivariable functions and their derivatives. Why is that? It is because all optimization problems are expressed in the form of multivariable functions. If you acquire an accurate definition of multivariable functions and the concept of differentiation, the theoretical approach to the aforementioned fields will become significantly easier.

This lecture is designed to provide a foundation in middle and high school mathematics for adults who gave up on math during their school years but are now looking to tackle engineering mathematics.

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 is a lecture where you can easily learn important mathematical concepts used in games. People who are well-versed in mathematics take this knowledge for granted, so they cannot teach it assuming you know nothing. I explain from a beginner's perspective, truly assuming you are a non-major.