Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

This course analyzes the functions of a complex variable and the calculus of residues. It also covers subjects such as ordinary differential equations, partial differential equations, Bessel and Legendre functions, and the Sturm-Liouville theory.

The course aims at providing the fundamental tools for effective C++ programming in the context of high-performance computing. The tools include generic programming techniques, API development, and specific C++-11/14/17 constructs. Starting from a basic knowledge of C++, the attendees should be able to start using C++ language to engineer durable abstractions to develop and optimize applications. Example usage of modern C++ concepts and features are taken from scientific applications used by the HPC community, giving the attendees the opportunity to see the presented tools in action in real world cases.  Exercises are provided from a GitHub repository.  This material is meant to reflect the current state of the current C++ standard.  As the standard changes, some aspects of this course may become outdated.This course is an integral part of the ESiWACE-2 project, and we acknowledge the partial funding from that project.  The contact person is william.sawyer@cscs.ch. 

Students will research the issues and policies regarding child development in underdeveloped nations and present their findings including logical arguments for policy change.

Students in an Advanced Child Development class will examine the pros and cons to allowing or restricting children participation in competitive activities. Based on their research of the topic they will produce a video clarifying one position or the other.

This Advanced Child Development lesson presents the different styles of parenting children ages 4-8. The lesson provides the students to compare parenting styles and construct a scenario using these different styles in an effort to determine the positive or negative impact on the child.

Following a brief classroom discussion of relevant principles, each student in this course completes the paper design of several advanced circuits such as multiplexers, sample-and-holds, gain-controlled amplifiers, analog multipliers, digital-to-analog or analog-to-digital converters, and power amplifiers. One of each student’s designs is presented to the class, and one may be built and evaluated. Associated laboratory assignments emphasize the use of modern analog building blocks. This course is worth 12 Engineering Design Points.

This course introduces interactive oral and interpersonal communication skills critical to leaders, including strategies for presenting to a hostile audience, running effective and productive meetings, active listening, and contributing to group decision-making. There are team-run classes on chosen communication topics, and an individual analysis of leadership qualities and characteristics. Students deliver an oral presentation and an executive summary, both aimed at a business audience.

Word Count: 100647

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This book has been created to provide a framework for building your skills in writing and critical thinking. It provides access to published samples from professional authors along with essay drafts from ESL students who have polished their skills in their respective writing courses.

The themes in the readings will give you a variety of topics to discuss with your classmates, which may inspire your own deeper thinking and writing. Overall, we hope that as you proceed through these chapters, you will build confidence and develop your voice in the classroom and beyond.

This graduate-level course focuses on current research topics in computational complexity theory. Topics include: Nondeterministic, alternating, probabilistic, and parallel computation models; Boolean circuits; Complexity classes and complete sets; The polynomial-time hierarchy; Interactive proof systems; Relativization; Definitions of randomness; Pseudo-randomness and derandomizations;Interactive proof systems and probabilistically checkable proofs.

Data structures play a central role in modern computer science. You interact with data structures even more often than with algorithms (think Google, your mail server, and even your network routers). In addition, data structures are essential building blocks in obtaining efficient algorithms. This course covers major results and current directions of research in data structure.
Acknowledgments
Thanks to videographers Martin Demaine and Justin Zhang.

This course introduces the basic components of an airframe structure and discusses their use and limitations. The realities of composite design such as the effect of material scatter, environmental knockdowns, and damage knockdowns are discussed and guidelines accounting for these effects and leading to robust designs are presented.

The resulting design constraints and predictive tools are applied to real-life design problems in composite structures. A brief revision of lamination theory and failure criteria leads into the development of analytical solutions for typical failure modes for monolithic skins (layup strength, buckling under combined loads and for a variety of boundary conditions) and stiffeners (strength, column buckling under a variety of loads and boundary conditions, local buckling or crippling for one-edge and no-edge-free conditions). These are then combined into stiffened composite structures where additional failure modes such as skin-stiffener separation are considered. Analogous treatment of sandwich skins examines buckling, wrinkling, crimping, intra-cellular buckling failure modes. Once the basic analysis and design techniques have been presented, typical designs (e.g. flange layup, stiffness, taper requirements) are presented and a series of design guidelines (stiffness mismatch minimization, symmetric and balanced layups, 10% rule, etc.) addressing layup and geometry are discussed. On the metal side, the corresponding design practices and analysis methods are presented for the more important failure modes (buckling, crippling) and comparisons to composite designs are made. A design problem is given in the end as an application of the material in this Part of the course.

This course will focus for a large part on MOSFET and CMOS, but also on heterojunction BJT, and photonic devices.First non-ideal characteristics of MOSFETs will be discussed, like channel-length modulation and short-channel effects. We will also pay attention to threshold voltage modification by varying the dopant concentration. Further, MOS scaling will be discussed. A combination of an n-channel and p-channel MOSFET is used for CMOS devices that form the basis for current digital technology. The operation of a CMOS inverter will be explained. We will explain in more detail how the transfer characteristics relate to the CMOS design.

In 6.635, topics covered include: special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, random media, Green’s functions for planarly layered media, integral equations in electromagnetics, method of moments, time domain method of moments, EM waves in periodic structures: photonic crystals and negative refraction.

Course Description:

In this course, participants will focus on creating engaging materials for their courses. Different forms of engagement will be explored and content created that is relevant to the courses that they teach.

Learning Outcomes:

Create engaging discussion forums. (LO1)
Design new content for current courses. (LO2)
Investigate new forms of media to engage students. (LO3)

An open-source textbook covering vector calculus, ordinary and partial differential equations, and Fourier series. The textbook is used in a first-year graduate level course in the Department of Mechanical Engineering at the Colorado School of Mines. It undergoes extensive revisions annually, but is relatively complete.

Short Description:
This text introduces students to reading and writing at the college level and was designed to fulfill the requirements for the Adult Basic Education (ABE) Advanced English Course. This text included examples, exercises, and definitions for many reading- and writing-related topics encountered in college courses.

Word Count: 93980

ISBN: 978-1-77420-122-0

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