Project Laboratory in Mathematics

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 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 the essential poker and mathematical concepts necessary for mastering Texas Hold'em at a professional level. Learners will explore strategies and theories that elevate their gameplay and decision-making skills.

This course examines problems in the philosophy of film as well as literature studied in relation to their making of myths. The readings and films that are discussed in this course draw upon classic myths of the western world, emphasizing meaning and technique as the basis of creative value in both media.

This course explores systematic methods for developing major innovations that can drive a firm's success. Learners will engage with practical idea generation techniques and real-world case studies presented by industry experts.

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 workshop introduces the principles of system dynamics through engaging simulations and discussions. Participants will explore how systems thinking can be applied to manage complexity in various organizational contexts.

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 explores key questions surrounding tariffs, focusing on their implications and effects through theoretical and data-driven lenses. Learners will gain insights into the complexities of tariffs and their role in the economy.

This course is an interdisciplinary exploration of three broad topics concerning music in relation to time. Learners will study music as architecture, memory, and the philosophical and scientific perspectives on the temporal dimension of music.

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 innovative realm of augmented reality audio design, focusing on the creation and evaluation of prototypes. Learners will investigate design possibilities while understanding the interplay between games and music, and the iterative nature of design processes.

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 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 focuses on enhancing design skills, effective engineering practices, and impactful communication. Learners will explore design thinking methodologies to analyze and create innovative engineering solutions across various domains.

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 explores the intricacies of poker theory and the application of poker analytics in investment management and trading. Learners will delve into decision-making frameworks and strategies that can enhance their understanding of both poker and financial environments.

This course introduces the core theory of modern financial economics and financial management, focusing on capital markets and investments. Learners will explore asset valuation, capital budgeting, portfolio selection, and the efficient market hypothesis, among other key topics.

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 explores significant contemporary debates in media, focusing on their economic, political, social, and cultural implications. Learners will engage in critical discussions about various media-related topics and develop the skills to analyze and understand the complex relationships within media systems.

This course covers the essential techniques for modeling and solving differential equations, which are fundamental in expressing the laws of nature. Learners will explore both the theoretical and practical aspects of differential equations, focusing on their applications in science and engineering.

This course focuses on computability and computational complexity theory. Learners will cover topics such as regular languages, context-free languages, decidable and undecidable problems, and recursive function theory.

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 course delves into the essential concepts of matrix calculus, focusing on its applications in machine learning and large-scale optimization. Learners will explore techniques to understand and compute derivatives of matrices and their factorizations, enhancing their ability to tackle complex mathematical operations in modern computing.

This course explores the design and functionality of Bitcoin and other cryptocurrencies, emphasizing cryptography, game theory, and network architecture. Learners will engage with practical programming assignments to deepen their understanding of these evolving systems.

This course is intended for students with little to no programming experience and focuses on understanding the role of computers in problem-solving. Students will build confidence in writing simple programs using the Python 3 programming language.

This course equips learners with essential knowledge about climate change, covering its scientific, economic, and civic dimensions. Participants will engage in interactive activities designed to empower them as climate educators and advocates.

This course connects algorithmic puzzles with computer programming, teaching students to code while solving engaging challenges. Learners will explore Python syntax and semantics as they tackle various puzzles, enhancing their programming skills in a fun and practical way.

This course covers fundamentals of subsurface flow and transport, emphasizing the role of groundwater in the hydrologic cycle, the relation of groundwater flow to geologic structure, and the management of contaminated groundwater. The class includes laboratory and computer demonstrations.

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