Differential Equations

This course is a seminar on the philosophical analysis of film art, focusing on how films create meaning through their formal structures. Learners will explore aesthetic issues surrounding appearance and reality, as well as the effects of film technology on communication and alienation.

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 matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics, social sciences, natural sciences, and engineering. It parallels the combination of theory and applications in Professor Strang’s textbook Introduction to Linear Algebra.

This course provides a fast-paced introduction to deep learning, focusing on practical model-building for complex problems involving unstructured data. Learners will explore deep neural networks, convolutional networks, transformers, and generative models like ChatGPT and Midjourney.

This course offers an immersive experience in the Japanese language, focusing on the simultaneous development of listening, speaking, reading, and writing skills. Learners will engage with authentic Japanese media to deepen their understanding of the language and culture.

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 serves as the first semester of a four-part introduction to modern standard Chinese, or Mandarin. Learners will focus on mastering pronunciation, basic reading and writing skills, and engaging in simple conversations on everyday topics, all while exploring the cultural context of the language.

This course explores the principles of photoelectric conversion, focusing on charge excitation, conduction, separation, and collection. Learners will study both commercial and emerging photovoltaic technologies, alongside critical themes such as conversion efficiencies, loss mechanisms, and the societal impacts of solar energy.

This course explores the fundamental role of data structures in computer science, emphasizing their importance in developing efficient algorithms. Learners will study advanced topics, including dynamic graphs, memory hierarchy, and hashing, while engaging with current research directions in the field.

This course focuses on developing literacy skills in Chinese for learners with basic conversational abilities. Students will engage in reading and writing in both full and simplified characters, enhancing their everyday language usage.

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 provides an introduction to the chemistry of biological, inorganic, and organic molecules. The emphasis is on basic principles of atomic and molecular electronic structure, thermodynamics, acid-base and redox equilibria, chemical kinetics, and catalysis.

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.

_Project Laboratory in Mathematics_ immerses students in the world of mathematical research, allowing them to collaboratively tackle complex problems and present their findings. This course emphasizes teamwork and the exploration of mathematical concepts through hands-on projects.

This course delves into advanced principles of statistical mechanics, focusing on thermodynamics and modern statistical physics topics. Learners will explore concepts such as phase transitions, critical phenomena, and the hydrodynamic limit, building on foundational knowledge from the first term.

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 surveys the history of China from the first dynasty to the year 1800. It traces the rise of the world's first centralized bureaucratic state, the development of the world's oldest living written culture, and the formation of the pre-modern world's largest single commercial market.

This course explores the art of improvisation in both solo and ensemble settings, examining its connections to composition and performance through various musical traditions. Students will engage in hands-on music-making while discussing the aesthetics of improvisation and learning from guest artists across diverse genres.

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 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 covers differential equations and the MATLAB® ODE suite in depth. Learners can understand the principles and applications of differential equations and develop problem-solving skills using MATLAB.

Math-based thinking skills that develop the ability to think for yourself! Are you working overtime today? If so, I hope that through this course, you can improve your mathematical thinking skills and perform your work efficiently.

This course makes it easy to learn the essential mathematical concepts used in games. People who are already proficient in math often take this knowledge for granted, making it difficult for them to teach from a beginner's perspective. This course assumes you have no prior knowledge and explains everything from the viewpoint of a complete beginner or non-major.