This course is an introduction to quantum computational complexity theory, the study of the fundamental capabilities and limitations of quantum computers. Topics include complexity classes, lower bounds, communication complexity, proofs, advice, and interactive proof systems in the quantum world. The objective is to bring students to the research frontier.

Students are introduced to the physical concept of the colors of rainbows as light energy in the form of waves with distinct wavelengths, but in a different manner than traditional kaleidoscopes. Looking at different quantum dot solutions, they make observations and measurements, and graph their data. They come to understand how nanoparticles interact with absorbing photons to produce colors. They learn the dependence of particle size and color wavelength and learn about real-world applications for using these colorful liquids.

Students explore the applications of quantum dots by researching a journal article and answering framing questions used in a classwide discussion. This "Harkness-method" discussion helps students become critical readers of scientific literature.

This course examines quantum computation and quantum information. Topics include quantum circuits, quantum Fourier transform and search algorithms, physical implementations, the quantum operations formalism, quantum error correction, stabilizer and Calderbank-Shor-Steans codes, fault tolerant quantum computation, quantum data compression, entanglement, and proof of the security of quantum cryptography. Prior knowledge of quantum mechanics and basic information theory is required.

Together, this course and 8.06 Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

A two-semester subject on quantum theory, stressing principles: uncertainty relation, observables, eigenstates, eigenvalues, probabilities of the results of measurement, transformation theory, equations of motion, and constants of motion. Symmetry in quantum mechanics, representations of symmetry groups. Variational and perturbation approximations. Systems of identical particles and applications. Time-dependent perturbation theory. Scattering theory: phase shifts, Born approximation. The quantum theory of radiation. Second quantization and many-body theory. Relativistic quantum mechanics of one electron. This is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

This subject introduces the key concepts and formalism of quantum mechanics and their relevance to topics in current research and to practical applications. Starting from the foundation of quantum mechanics and its applications in simple discrete systems, it develops the basic principles of interaction of electromagnetic radiation with matter. Topics covered are composite systems and entanglement, open system dynamics and decoherence, quantum theory of radiation, time-dependent perturbation theory, scattering and cross sections. Examples are drawn from active research topics and applications, such as quantum information processing, coherent control of radiation-matter interactions, neutron interferometry and magnetic resonance.

Watch quantum "particles" tunnel through barriers. Explore the properties of the wave functions that describe these particles.

When do photons, electrons, and atoms behave like particles and when do they behave like waves? Watch waves spread out and interfere as they pass through a double slit, then get detected on a screen as tiny dots. Use quantum detectors to explore how measurements change the waves and the patterns they produce on the screen.

This course introduces the students to dynamics of large-scale circulations in oceans and atmospheres. Basic concepts include mass and momentum conservation, hydrostatic and geostrophic balance, and pressure and other vertical coordinates. It covers the topics of fundamental conservation and balance principles for large-scale flow, generation and dissipation of quasi-balanced eddies, as well as equilibrated quasi-balanced systems. Examples of oceanic and atmospheric quasi-balanced flows, computational models, and rotating tank experiments can be found in the accompaniment laboratory course 12.804, Large-scale Flow Dynamics Lab.

This course analyzes mainstream, popular films produced in the post-World War II 20th century U.S. as cultural texts that shed light on ongoing historical struggles over gender identity and appropriate sexual behaviors. It traces the history of LGBTQ/queer film through the 20th and into the 21st century. It also examines the effect of the Hollywood Production Code and censorship of sexual themes and content, and the subsequent subversion of queer cultural production in embedded codes and metaphors. In addition, this course also considers the significance of these films as artifacts and examples of various aspects of queer theory.

This class deals with the modeling and analysis of queueing systems, with applications in communications, manufacturing, computers, call centers, service industries and transportation. Topics include birth-death processes and simple Markovian queues, networks of queues and product form networks, single and multi-server queues, multi-class queueing networks, fluid models, adversarial queueing networks, heavy-traffic theory and diffusion approximations. The course will cover state of the art results which lead to research opportunities.

We will study not only art and music to better understand these forms, we will also study where those forms came from and the cultural and economic impact they had on the public. We will also learn about how the artists and musicians dealt with or got around gatekeepers, along with who could get access to these forms of art and music.

Students explore the physical science behind the causes of quicksand and become familiar with relationship between concepts such as total stress, pore pressure, and effective stress. Students also relate these concepts to soil liquefaction—a major concern during earthquakes. Students begin the activity by designing a simple device to test the effects of quicksand on materials of different densities and weights. They prototype a support structure that works to prevent a heavy object from sinking into quicksand. At the end of the activity, students reflect on the engineering design process and consider the steps civil engineers take in designing sturdy buildings and other structures.

This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns.

This task has some aspects of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are given all the relevant information on the nutritional labels, but they have to figure out how to use this information. They have to come up with the idea that they can set up two equations in two unknowns to solve the problem.

This tasks is an example of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are only told that there are two ingredients in the pasta and they have a picture of the box. It might even be better to just show the picture of the box, or to bring in the box and ask the students to pose the question themselves.

¡Qué viva la música! Repaso de conversación en español, or Long Live Music! Spanish Conversational Review is an open textbook intended for conversational review, typically a fourth-semester Spanish class. The textbook is organized around nine different songs that provide students opportunities to practice, aurally and orally, as well as in writing, the main communicative goals and key grammatical structures learned in previous classes. It can also be used in similar high school classes.

Norma Corrales-Martin is an Associate Professor of Instruction in the Department of Spanish and Portuguese at Temple University.

The Responsibility to Protect (R2P) aimed to halt atrocities as they occurred and rebuild and reconstruct societies in the wake of such crimes. It represented the policy realization of the statement never again. Now a growing international norm, the R2P cuts to the core of what it means to be a moral player in the international arena. With contributions from many of the world’s most respected R2P experts and practitioners, this Edited Collection attempts to draw attention to the major points of contention that have been highlighted by the Western intervention in Libya following the Arab Spring.

Students write Arduino code and use a “digital sandbox” to create new colors out of the three programming primary colors: green, red and blue. They develop their own functions, use them to make disco light shows, and vary the pattern and colors of their shows. The digital sandbox is a hardware and software learning platform powered by a microcontroller that can interact with real-world inputs like light, while at the same time controlling LEDs and other outputs.