Courses tagged with "Taking derivatives" (363)

Mechanics studies how forces affect bodies in motionhow, for example, a bullet is fired from a gun or a top is set in motion by the flick of a wrist.  As an engineer, you will find mechanics of vital importance to any field you choose to pursue.  Whether you are designing a bridge or implementing an electrical power unit for an elevator, you will need to know how to determine which forces can be applied to a body without causing it to break, what happens when bodies collide, how an object moves when different forces are applied to it, and so on.  This course will introduce you to the core concepts of mechanics that will enable you to answer these questions as you strive to design, test, and manufacture safe and reliable products. While most universities split introductory mechanics into two courses, with one devoted to statics and the other to solids, this course will introduce you to both areas.  You will begin by learning about staticsobjects that are not accelerating (in other words, objects that are…

Effective communication is essential to teamwork, and teamwork is essential to accomplishing complex engineering work.  In this course, you will learn several aspects of effective technical communication that will help prepare you to work successfully on an engineering team.  The strategies and techniques learned here are also applicable to other situationsfor example, preparing a résumé and cover letter, conducting a successful job interview, negotiating to make a major purchase or sale, and navigating through legal situations that you might encounter. As an example, consider the following situation.  You arrive home after a week-long vacation and find a note on your door saying: Dude My plumber’s cut your phone cord.  I reckon they’ll fix it soon. On the other hand, consider that you find a note resembling:   From: John Atkins      October 24, 2015 2828 Fairlane Rd. Tel: 703-555-4800   To:       Occupant 2824 Fairlane Rd.   I regret to inform you that my plumbing contractor…

The purpose of this course is to provide you with an overview of the major political theorists and their work from the 18th century to the present.  Common themes seen in contemporary political thought include governance, property ownership and redistribution, free enterprise, individual liberty, justice, and responsibility for the common welfare.  You will read the works of theorists advocating capitalism, socialism, communism, egalitarianism, utilitarianism, social contract theory, liberalism, conservatism, neo-liberalism, neo-conservatism, libertarianism, fascism, anarchy, rational choice theory, and multiculturalism.  By studying the evolving constructs of political theory in the past two centuries, you will gain insight into different approaches that leaders use to solve complex problems of governance and maintenance of social order.

At various points in history, the Middle East has been at the center of world civilization.   In the last century, however, the Middle East has been subjected to the conquest, colonization, and control of outside powers: the Ottoman Empire, the great European powers, and the United States.  This dynamic has had profound implications for the political identity of both Middle Easterners and their conquerors.  It has also meant that much of the recent political history of the Middle East has been a struggle for independence and state-buildinga struggle that continues to this day with profound implications for the region and the world as a whole. This course has two primary purposes: (1) to build a critical understanding of the key issues and conflicts in the politics of the modern Middle East and (2) to apply the following concepts to these issues and conflicts: scholarly methodology, colonialism, independence and state-building, the political mobilization of new social classes, the spread of capitalist ec…

This course will provide you with a comprehensive introduction to spreadsheets. The course is designed for first-time users with very little or no exposure to the subject. For this course, you will use Microsoft Excel as the software. The course will explore the following fundamental topics: an introduction to spreadsheets, terminology in Excel, components of a spreadsheet, what a cell consists of, and the creation of a spreadsheet for practical use.  You will examine sample files, videos, and books that will enable you to gain practical knowledge about spreadsheets that can be used in daily life, either at work, school, or home.

Geography is the study of the physical features of the Earth and its atmosphere including landscape development, weather and climate, and geologic concepts as well as the influence of human activity including cultural, economic, and political activity on those physical features.  Geography students, as they study the many aspects of our physically and culturally diverse world, tend to become more adept at tasks that require both spatial and critical thinking skills. World Regional Geography covers the basic elements noted above but within a regional context.  Ultimately, World Regional Geography is concerned with the physical and human characteristics that make the regions of our world distinctive.  As you progress through the course, the units will discuss each major world region in detail, placing particular emphasis on cultural and societal structures.  Regions will be discussed within a global framework in the hope that you will gain a better comprehension of how the world map is being defined a…

Please note: Our faculty members have indicated that several important changes need to be made in order to improve the course and your experience as a student. In 2013, we will be re-releasing this course under the simplified title: ARTH101: Art Appreciation and Techniques. Until then, you are welcome to work through this course at your own leisure; there

Psychotherapy refers to the practices clinical psychologists use to treat mental disorders. While “therapy” can denote any intervention undertaken with the goal of healing someone (including medicinal treatments for physical problems), psychotherapy is specific in that it uses certain cognitive, behavioral, and emotional regulation techniques. Based on pop culture portrayals of psychotherapy, you may be imagining a patient lying on a couch, talking freely about whatever is on his or her mind, while a doctor scribbles notes. While there is some truth to this portrait, it is an obvious oversimplification. Psychotherapy often involves a pre-defined set of techniques that a counselor will use in order to solve the problems that his patient is encountering. These techniques often vary from therapist to therapist and depend on which school of thought the therapist subscribes to, that is, which perspectives he or she has adopted in order to explain the causes of and appropriate treatments for various disorders.

The physics of the universe appears to be dominated by the effects of four fundamental forces: gravity, electromagnetism, weak nuclear forces, and strong nuclear forces.  These forces control how matter, energy, space, and time interact to produce our physical world.  All other forces, such as the force you exert in standing up, are ultimately derived from these fundamental forces. We have direct daily experience with two of these forces: gravity and electromagnetism.  Consider, for example, the everyday sight of a person sitting on a chair.  The force holding the person on the chair is gravitational, and that gravitational force balances with material forces that “push up” to keep the individual in place.  These forces are the direct result of electromagnetic forces on the nanoscale.  On a larger stage, gravity holds the celestial bodies in their orbits, while we see the universe by the electromagnetic radiation (light, for example) with which it is filled.  The electromagnetic force also makes…

This course will examine the history of Western art from approximately 1600 to approximately 1800a period that bridges the gap from the Renaissance to the earliest days of the Modern era. Beginning with the Baroque in Counter-Reformation Italy and concluding with Neoclassicism in the late 18th century, we will trace the stylistic developments in Europe and America through a variety of religious, political, and philosophical movements. The class begins with the Baroque, which was the immediate successor to the Renaissance and to Renaissance humanism, and we will examine this period by regions (Italy and Spain, the Netherlands, and France and England). Next, the course moves on to explore the development of two opposing styles that emerged in the 18th century: Rococo and Enlightenment art. The course culminates with Neoclassical art, its development in a politically turbulent France, and its spread into other Western cultures, including Italy, England, and the United States. Crucial to this course is the emer…

This course surveys art of America from the colonial era through the post-war 20th century.  We will consider broad stylistic tendencies in various regions and periods and examine specific artists and works of art in historical and social contexts, with emphasis on the congruent evolution of contemporary American multi-cultural identity.  We will move chronologically, more or less, with many overlaps and cross-chronological, thematic diversions that will help shape this overview and offer different perspectives on the notion of an “American art,” per se. Overarching issues that have interested major scholars of American art and its purview include the landscape (wilderness, Manifest Destiny, rural settlement, and urban development); the family and gender roles; the founding rhetoric of freedom and antebellum slavery; and notions of artistic modernism through the 20th century.  A background in the basic concepts and terms of art history and art practice, and/or American studies in other disciplines, w…

Even in ancient times, scholars believed that diseases could be spread by organisms too small to be seen by the naked eye. Before we discovered that bacteria cells were the real culprits, many attributed disease to other sources. Now that scientists have definitively identified the microscopic causes of various infectious diseases, microbiology, or the study of microscopic-sized organisms, has become an increasingly important field in biology and in the larger biomedical community. Most microbes are harmless. Some of them are essential for life on Earth, e.g. through their ability to fix nitrogen. Biotechnology, which is truly the industry of our times, takes advantage of microbes for the production of a variety of complex substances, and it also mass-produces natural and engineered microbes for human use. This course will cover a range of diverse areas of microbiology, including virology, bacteriology, and applied microbiology. This course will focus on the medical aspects of microbiology, as medical res…

This course will introduce you to business statistics, or the application of statistics in the workplace. Statistics is a course in the methods for gathering, analyzing, and interpreting data. If you have taken a statistics course in the past, you may find some of the topics in this course familiar. You can apply statistics to any number of fields from anthropology to hedge fund management because many of us best interpret data when it is presented in an organized fashion (as it is with statistics). You can analyze data in any number of forms. Summary statistics, for example, provide an overview of a data set, such as the average score on an exam. However, the average does not always tell the entire story; for example, if the average score is 80, it may be because half of the students received 100s and the other half received 60s. This would present a much different story than if everyone in the class had received an 80, which demonstrates consistency. Statistics provides more than simple averages. In t…

A Guide to the Project Management Body of Knowledge defines project as “a temporary endeavor undertaken to create a unique product, service, or result.  The temporary nature of projects indicates a definite beginning and end.  The end is reached when the project’s objectives have been achieved or when the project is terminated because its objectives will not or cannot be met, or when the need for the project no longer exists.” (PMBOK, 2008, p. 5).  The discipline of project management has various definitions.  Some describe it as a systematic method of planning and guiding a project from start to finish, while others have defined project management as a methodical approach of achieving targets and goals while optimizing the use of resources such as people, money, time, and space.  Some have referred to project management as the ability to be open and to elicit commitments through effective communication regarding how team members are willing to participate.  More specifically, the PMBOK (2008) def…

This course is designed to introduce you to the study of Calculus.  You will learn concrete applications of how calculus is used and, more importantly, why it works.  Calculus is not a new discipline; it has been around since the days of Archimedes.  However, Isaac Newton and Gottfried Leibniz, two 17th-century European mathematicians concurrently working on the same intellectual discovery hundreds of miles apart, were responsible for developing the field as we know it today.  This brings us to our first question, what is today's Calculus?  In its simplest terms, calculus is the study of functions, rates of change, and continuity.  While you may have cultivated a basic understanding of functions in previous math courses, in this course you will come to a more advanced understanding of their complexity, learning to take a closer look at their behaviors and nuances. In this course, we will address three major topics: limits, derivatives, and integrals, as well as study their respective foundations and a…

This course is designed to extend your knowledge of the basic microeconomic principles that will provide the foundation for your future work in economics and give you insight into how economic models can help us think about important real world phenomena.  Topics include supply and demand interaction, utility maximization, profit maximization, elasticity, perfect competition, monopoly power, imperfect competition, and game theory. Microeconomics is the study of rational choice behavior on the part of individual consumers and firms.  In general, economists are interested in how market mechanisms solve extremely complex resource allocation problems.  This course presents a logical and coherent framework in which to organize observed economic phenomena. Several economic "models" are developed and analyzed in order to help explain and predict a wide variety of economic (and sometimes, seemingly non-economic) phenomena.  Microeconomic theory is based on the notion that individuals (and firms) have well defin…

The purpose of this course is to trace the twin paths of capitalism and democracy through American history.  This course is premised on the idea that capitalism and democracy are intertwined, though they have often conflicted with one another.  One reason that democracy and capitalism often conflict is because capitalism has the capacity for both enormous construction and enormous destruction; these contradictory impulses often appear in tandem.  This course is structured to provide students with a brief introduction to the history of capitalism and democracy in Europe and then to explore how they evolved in North America between 1600 and the present.  Throughout the course, students will be exposed to primary and secondary readings as well as video and audio lectures that will explore the connections between America’s economic and political development This course assumes a basic working knowledge of U.S. history.  A good resource for review is http://en.wikibooks.org/wiki/US_History [1]. Also ava…

This course will introduce you to the history of the Middle East from the rise of Islam to the twenty-first century.  The course will emphasize the encounters and exchanges between the Islamic world and the West.  It will be structured chronologicallyeach unit will focus on the emergence of a particular Middle Eastern society or empire during a specific time period.  Each unit will include representative primary-source documents that illustrate important overarching political, economic, and social themes, such as the emergence of Islam in the seventh century, conflicts between Islamic and Christian peoples during the Crusades, European domination of Muslim territories in the nineteenth century, independence movements and the rise of nationalism in the 1900s, and the formation of Islamic fundamentalist groups and anti-Western sentiment in the latter twentieth century.  By the end of the course, you will understand how Islam became a sophisticated and far-reaching civilization and how conflicts with the Wes…

This course will focus on the history of humankind’s relationship with the environment.  We use the word “environment” to refer to the nonhuman components of the natural world.  We will examine how environmental factors have shaped the development and growth of civilizations around the world and analyze how these civilizations have altered their environments in positive and negative ways.  The course will be structured chronologically.  Each unit will include representative primary-source documents that illustrate important overarching themes, such as how early humans adapted natural resources for new purposes, how the expansion of civilizations led to environmental changes, how the interaction between European explorers and Native Americans led to significant and unexpected environmental consequences, and how modern societies have responded to environmental problems that threaten the well-being of humans and the environment.  By the end of the course, you will better understand the reciprocal rela…

You may think at first that the words “fluid” and “mechanics” should not go together.  However, the ways in which fluids (gases and liquids and a few other materials) respond to forces, exert forces, and move from one place to another (their mechanics) are crucially important to many aspects of our experience and our ability to build tools. Consider, for example, the following areas in which fluid mechanics play an important, if not fundamental, role: Meteorology and ocean dynamics (tsunamis, hurricanes, and tornados) Fluid flow within living systems (blood flow, lymph flow, air flow) Hydraulic machinery (jacks, pumps, lifts, steering mechanisms) Chemical processing and piping (pumps, reactors, separators, pipelines) Turbomachinery (jet engines, power plants) Aeronautical and ship machinery (airplanes, helicopters, boats and ships) In this course you will first learn about the definition of a fluid and the properties of a fluid, such as density, compressibility, and viscosity.  You wil…