This course will focus on fundamental subjects in convexity, duality, and convex optimization algorithms. The aim is to develop the core analytical and algorithmic issues of continuous optimization, duality, and saddle point theory using a handful of unifying principles that can be easily visualized and readily understood.

Students act as mining engineers and simulate ore mining production by using chocolate chip cookies. They focus on the cost-benefit analysis of the chocolate ore production throughout the simulation, which helps them understand the cost of production. As students “mine” with tools such as paperclips and toothpicks, they keep records of their costs—land (cookie), equipment used, cookie size before and after production, and time spent. While the goal is to make as much profit as possible, other costs and goals are taken into consideration—as in real-world mining engineering. For example, mining engineers also consider the resulting amount of destruction to the lithosphere when deciding the best method to obtain ore. Thus, a line item for land reclamation cost is included from the beginning. A provided worksheet serves as a profit and loss statement.

Students learn about using renewable energy from the Sun for heating and cooking as they build and compare the performance of four solar cooker designs. They explore the concepts of insulation, reflection, absorption, conduction and convection.

Student groups are given a set of materials: cardboard, insulating materials, aluminum foil and Plexiglas, and challenged to build solar ovens. The ovens must collect and store as much of the sun's energy as possible. Students experiment with heat transfer through conduction by how well the oven is insulated and radiation by how well it absorbs solar radiation. They test the effectiveness of their designs qualitatively by baking something and quantitatively by taking periodic temperature measurements and plotting temperature vs. time graphs. To conclude, students think like engineers and analyze the solar oven's strengths and weaknesses compared to conventional ovens.

While the task as written does not explicitly use the term "unit rate," most of the work students will do amounts to finding unit rates. A recipe context works especially well since there are so many different pair-wise ratios to consider.

Students are given the engineering challenge to design and build doghouses that shelter a (toy) puppy from the heat—and to create them within material, size and cost constraints. This requires them to apply what they know (or research) about light energy and how it does (or does not) travel through various materials, as well as how a material’s color affects its light absorption and reflection properties. They build their doghouse designs and test them by taking thermometer readings under hot lamps, and then think of ways to improve their designs. This is a great project for learning about light and heat: energy transfer, absorption, insulation and material properties, and easily scales up/down for size and materials.

Students learn the meaning of preservation and conservation and identify themselves and others as preservationists or conservationists in relation to specific environmental issues. They use Venn diagrams to clarify the similarities and differences in viewpoints. They see how an environmental point-of-view affects the approach to an engineering problem.

Students learn and apply concepts in thermodynamics and energy—mainly convection, conduction, and radiation— to solve a challenge. This is accomplished by splitting students into teams and having them follow the engineering design process to design and build a small insulated box, with the goal of keeping an ice cube and a Popsicle from melting. Students are given a short traditional lecture to help familiarize them with the basic rules of thermodynamics and an introduction to materials science while they continue to monitor the ice within their team’s box.

A brief refresher on the Cartesian plane includes how points are written in (x, y) format and oriented to the axes, and which directions are positive and negative. Then students learn about what it means for a relation to be a function and how to determine domain and range of a set of data points.

This lesson introduces students to the idea of biomimicry or looking to nature for engineering ideas. Biomimicry involves solving human problems by mimicking natural solutions, and it works well because the solutions exist naturally. There are numerous examples of useful applications of biomimicry, and in this lesson we look at a few fun examples.

Copyright Law: Cases and Materials is a free copyright law textbook designed for a four-credit copyright course, which is what we teach at NYU School of Law. Model syllabi for four-credit and three-credit courses are available in the Faculty Resources section of this website. All faculty teaching copyright law are welcome to access the Faculty Resources, including the faculty discussion forum, by becoming a registered user of the site. To register, write us at jeanne.fromer@nyu.edu or christopher.sprigman@nyu.edu.

The textbook is made available under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. Under the terms of this license, you are free to copy and redistribute the textbook in part or whole in any format provided that (1) you do so only for non-commercial purposes, and (2) you comply with the attribution principles of the license (credit the authors, and link to the license). Note please that this license does not permit you to make modifications to the textbook or to create derivative works. That said, there are a wide variety of derivatives that we would gladly permit. If you want to make modifications to the textbook, please contact us.

The editors of Copy(write): Intellectual Property in the Writing Classroom bring together stories, theories, and research that can further inform the ways in which we situate and address intellectual property issues in our writing classrooms. The essays in the collection identify and describe a wide range of pedagogical strategies, consider theories, present research, explore approaches, and offer both cautionary tales and local and contextual successes that can further inform the ways in which we situate and address intellectual property issues in our teaching.

The Folger Shakespeare Library provides the full searchable text of "Coriolanus" to read online or download as a PDF. All of the lines are numbered sequentially to make it easier and more convenient to find any line.

Trebia. Trasimene. Cannae. With three stunning victories, Hannibal humbled Rome and nearly shattered its empire. Even today Hannibal's brilliant, if ultimately unsuccessful, campaign against Rome during the Second Punic War (218-202 BC) make him one of history's most celebrated military leaders. This biography by Cornelius Nepos (c. 100-27 BC) sketches Hannibal's life from the time he began traveling with his father's army as a young boy, through his sixteen-year invasion of Italy and his tumultuous political career in Carthage, to his perilous exile and eventual suicide in the East. As Rome completed its bloody transition from dysfunctional republic to stable monarchy, Nepos labored to complete an innovative and influential collection of concise biographies. Putting aside the detailed, chronological accounts of military campaigns and political machinations that characterized most writing about history, Nepos surveyed Roman and Greek history for distinguished men who excelled in a range of prestigious occupations. In the exploits and achievements of these illustrious men, Nepos hoped that his readers would find models for the honorable conduct of their own lives. Although most of Nepos' works have been lost, we are fortunate to have his biography of Hannibal. Nepos offers a surprisingly balanced portrayal of a man that most Roman authors vilified as the most monstrous foe that Rome had ever faced.

In this activity, students examine how to grow plants the most efficiently. They imagine that they are designing a biofuels production facility and need to know how to efficiently grow plants to use in this facility. As a means of solving this design problem, they plan a scientific experiment in which they investigate how a given variable (of their choice) affects plant growth. They then make predictions about the outcomes and record their observations after two weeks regarding the condition of the plants' stem, leaves and roots. They use these observations to guide their solution to the engineering design problem. The biological processes of photosynthesis and transpiration are briefly explained to help students make informed decisions about planning and interpreting their investigation and its results.

This art history video discussion examines the "Coronation Mantle" likely made for the Norman ruler Roger II in 1133/34 in the royal workshop in Palermo of fabric from Byzantium or Thebes, Samite, silk, gold, pearls, filigree, sapphires, garnets, glass, and cloisonne enamel.

This art history video discussion examines Correggio's "Jupiter and Io" 1532-33, oil on canvas 163.5 x 70.5 cm (Kunsthistorisches Museum, Vienna).

Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise).