Did you ever imagine that you can use light to move a microscopic plastic bead? Explore the forces on the bead or slow time to see the interaction with the laser's electric field. Use the optical tweezers to manipulate a single strand of DNA and explore the physics of tiny molecular motors. Can you get the DNA completely straight or stop the molecular motor?

This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.

This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal control. Emphasis is on methodology and the underlying mathematical structures. Topics include the simplex method, network flow methods, branch and bound and cutting plane methods for discrete optimization, optimality conditions for nonlinear optimization, interior point methods for convex optimization, Newton's method, heuristic methods, and dynamic programming and optimal control methods.

Introduces students to the theory, algorithms, and applications of optimization. The optimization methodologies include linear programming, network optimization, dynamic programming, integer programming, non-linear programming, and heuristics. Applications to logistics, manufacturing, transportation, E-commerce, project management, and finance.

Using their knowledge of the phases of matter, the scientific method, and polymers, student teams work as if they are chemical engineers to optimize the formula for slime. Hired by the fictional company, Slime Productions, students are challenged to modify the chemical composition of the basic formula for slime to maximize its "bounce factor."

Students work in engineering teams to optimize cleaner energy solutions for cooking and heating in rural China. They choose between various options for heating, cooking, hot water, and lights and other electricity, balancing between the cost and health effects of different energy choices.

Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints. After arriving at a solution, they construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. To conclude, students think of real-world and engineering space optimization examples—a frequently encountered situation in which the limitation is the amount of space available. It is suggested that students conduct this activity before the associated lesson, Linear Programming, although either order is acceptable.

Gives students the necessary language skills to successfully employ Spanish in a variety of social situations. Focuses on oral communication and uses popular media for listening practice. Student projects involve reading, oral presentations, and classroom interaction. Emphasizes communication skills needed by students in engineering and management for work in Latin America or Spain. Taught in Spanish. A second-year intermediate course that includes vocabulary enhancement and limited review of selected points of grammar. Focuses on listening comprehension and speaking, with group activities, discussions and individual oral reports based on readings, films, music and art.

This course focuses on developing oral presentation skills through practice, self-evaluation, and in-class feedback. Topics include slide preparation, answering difficult questions, explaining technical details and presenting to a general audience.

This short video and interactive assessment activity is designed to teach fourth graders about which compound unit is longest? (english units).

This short video and interactive assessment activity is designed to teach fourth graders about which compound unit is shortest? (english units).

In this ordering task each number has at most 3 digits so that students have the opportunity to think about how digit placement affects the size of the number.

In this task students must place 4-digit numbers into order from smallest to greatest and greatest to smallest.

The purpose of this task is to extend students' understanding of fraction comparison.

In this task students compare numbers less than 100 to benchmark numbers and learn to build an understanding of the relative magnitude of numbers.

This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take.

By researching these "ordinary" people and the now historic places where they brought about change, students will discover how the simple act of sitting at a lunch counter in North Carolina could be considered revolutionary, and how, combined with countless other acts of nonviolent protest across the nation, it could lead to major legislation in the area of civil rights for African Americans.

This textbook guides students through rhetorical and assignment analysis, the writing process, researching, citing, rhetorical modes, and critical reading. Guided by Oregon's statewide college writing outcomes, this book collects previously published articles, essays, and chapters released under Creative Commons licenses into one free textbook available for online access or print-on-demand.

Introduction to organic chemistry. Development of basic principles to understand the structure and reactivity of organic molecules. Emphasis on substitution and elimination reactions and chemistry of the carbonyl group. Introduction to the chemistry of aromatic compounds.

This resource was created by Lisa Nichols (chemistry faculty at Butte Community College in Northern California) as a result of an academic sabbatical leave in the Fall-2015 to Spring 2016 term. The target audience are undergraduate students in organic chemistry.

In this resource you will find theory and procedures on the main organic lab techniques (chromatography, crystallization, extraction, distillation) as well as general concepts on how to set up and heat apparatuses (see the Table of Contents tab for a more complete listing of topics).

All procedures are accompanied by step-by-step pictures, and graphics are heavily utilized throughout the resource.