Courses tagged with "Taking derivatives" (363)

This course will introduce you to the history of Africa from 300,000 BCE to the era of European imperialism in the nineteenth century. You will learn about the major political, economic, and social changes that took place in Africa during this period and examine the experiences of Africans who lived during this period. You will also explore the relationships between Africans and people living in other regions of the world. The course will be structured chronologically except for units 3 and 4, which will divide the continent geographically while covering the classical period of African history. Each unit will include representative documents and other resources that illustrate important overarching political, economic, and social themes. By the end of the course, you will understand how Africans transformed their continent beginning with human evolution and concluding with the era of global capitalism. The story then continues in HIST 252, which covers the last 120 years of African history.

Multivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher dimensions.  You may find that these courses share many of the same basic concepts, and that Multivariable Calculus will simply extend your knowledge of functions to functions of several variables.  The transition from single variable relationships to many variable relationships is not as simple as it may seem; you will find that multi-variable functions, in some cases, will yield counter-intuitive results. The structure of this course very much resembles the structure of Single-Variable Calculus I and II.  We will begin by taking a fresh look at limits and continuity.  With functions of many variables, you can approach a limit from many different directions.  We will then move on to derivatives and the process by which we generalize them to higher dimensions.  Finally, we will look at multiple integrals, or integration over regions of space as opposed to intervals. The goal of Mu…

This course provides an introductory survey of the Western classical tradition, exploring music both as a phenomenon of sound and culture.  The focus of this course is the development of aural skills that lead to an understanding and appreciation of music.  Making use of live performances and streaming audio available on the Internet, we will listen to and explore some of the most important and influential repertoires and genres of music that emerged in the last four centuries: High Renaissance vocal music, the cantatas and oratorios of Bach and Handel, Mozart’s comic operas, the monumental orchestral works of the Romantic movement, and the major musical movements of twentieth-century Europe and America, revealing significant connections with contemporary pop and jazz styles.  These styles have become an enduring part of the world of music in the twenty-first century, traveling out of the concert hall and conservatory into the larger world via movies, television, and the Internet. This course will begi…

This course will introduce you to the history of Central Eurasia and the Silk Road from 4500 B.C.E to the nineteenth century.  You will learn about the culture of the nomadic peoples of Central Eurasia as well as the development of the Silk Road.  The course will be structured chronologically; each unit will focus on one aspect of the Silk Road during a specific time period.  Each unit will include representative primary- and secondary-source documents that illustrate important overarching political, economic, and social themes, such as the discovery and production of silk in China, diplomatic relations between Han China and nomadic peoples of the Eurasian steppe, the international scope of the Silk Road trade routes, European interest in finding a “new silk route” to China, and the “Great Game” between China, Russia, and Great Britain in Central Eurasia in the nineteenth century.  By the end of the course, you will understand how the Silk Road influenced the development of nomadic societies in Ce…

This course is designed to equip you with the basic academic, professional, and personal skills you will need to be successful in college.  You are probably already familiar with some of the skills and topics covered; others will be brand new ideas.  For example, perhaps you have already learned some effective test-taking strategies that work well for you, but you have never heard of the concept of learning styles.  Or, maybe you do know your learning style, but you want to improve your listening skills.  Each student will have a different skill set when they start this course.  In addition, some of the skills this course presents may take a lifetime to master!  The point of the course is to give you, a new college student or a person considering a college education, a purposeful, thorough review of the many tools and skills needed for success and to help you understand how you can improve each of the tools and skills over time.  Keep in mind that the terms “tools” and “resources” can refer to…

In this course, we will focus on becoming “literate” in the art of the Italian Renaissance, on identifying the effects that the Renaissance had on the arts of Italy, and discovering the ways in which specific historical developments impacted those arts from the end of the thirteenth century to the end of the sixteenth century.  The Renaissance, a European phenomenon that began to develop in the late thirteenth century, refers to a marked shift in the ways in which individuals perceived their world.  A new outlook was emergingone that was characterized by, among other things, increased humanism and a renewed interest in the cultures of Classical Antiquity (and all within a Christian framework).  There is no specific date that marks the beginning of the Renaissance, but its burgeoning effects on art can be detected earlier in Italy than in other areas.  The late thirteenth and fourteenth centuries in Italy are consequently referred to as the “Proto-Renaissance” and will constitute our first unit of…

Marine Biology is the study of ocean life.  As you might expect, life in salt water is vastly different from life in a terrestrial or freshwater environment due to factors like salinity, water circulation, and atmospheric pressure.  How, for example, can organisms living in salt water avoid dehydration?  How do organisms living in the depths of the ocean handle the immense pressure?  How do the environmental factors in marine communities affect biodiversity?  How do some animals manage to alternate between the demands of terrestrial life and the demands of marine life?  In this course, you will learn the answers to these questions and more.  This course will touch on a number of different subfields of biological study (including biochemistry, physiology, zoology, botany, and ecology) within the context of the ocean environment. You will start by learning about the ocean itself and its physical properties, as these properties influence the abundance, distribution, diversity, physiology, and behavior o…

African American literature grew out of the oral tradition of storytelling and spirituals.  In this course, you will consider these verbal modes and their impact on the literary production of African American authors from the Colonial period to the current day.  Along with considering the content of literary works, you will examine the cultural, historical, and political contexts of the literature, as well as how the issues of gender, race, and class affect the production and meaning of these works. In this course, you will examine the development of African American literature in seven units: Oral Traditions; The Literature of Slavery; Reconstruction to the  New Negro Renaissance Movement; Harlem Renaissance; Realism, Naturalism, and Modernism; Black Arts; and the Contemporary Period.  This course begins with a unit that studies African American literature’s inception through oral tradition.  This unit will teach you about the beginnings of narrative and will ground your understanding in the develop…

Most mechanical engineering systems today involve significant amounts of electrical and electronic control systems. Effectively, most modern mechanical engineering systems are mechatronic systems. Mechatronics is the discipline that results from the synergetic application of electrical, electronic, computer, and control engineering in mechanical engineering systems. Thus, it is essential for the mechanical engineer to have a strong understanding of the composition and design of mechatronic systems, which is the goal of this course. Mechatronic systems are around us everywhere. A car contains many mechatronic systems, such as anti-lock braking systems, traction control, the engine control unit and cruise control, to name a few. A satellite dish position control unit is another example of a mechatronic system. Modern industrial automated processes would not be possible without the discipline of mechatronics, covering areas such as vehicle manufacturing, pharmaceutical industries, and food processing plants. R…

This survey chemistry course is designed to introduce students to the world of chemistry.  Chemistry was born in ancient Egypt, when the principles of chemistry were first identified, studied, and applied in order to extract metal from ores, make alcoholic beverages, glaze pottery, turn fat into soap, and much more.  What began as a quest to build better weapons or create potions capable of ensuring everlasting life has since become the foundation of modern science.  Take a look around you: chemistry makes up almost everything you touch, see, and feel, from the shampoo you used this morning to the plastic container that holds your lunch. In this course, we will study chemistry from the ground up, learning the basics of the atom and its behavior.  We will apply this knowledge to understand the chemical properties of matter and the changes and reactions that take place in all types of matter.

The medieval period, or the Middle Ages, spans about a thousand years between the fall of the Roman Empire, which occurred around 500 CE, and the beginning of the European Renaissance, which was a bit later in England around 1500 CE. The idea of a period called the Middle Ages was a product of later thinkers who contrasted the explosive creativity and cultural transformation of the Renaissance with the seemingly subdued work of earlier centuries. Many saw this earlier period as less intellectually and culturally valuable. It is worth noting that contemporary historians often refer to the Renaissance as the Early Modern. The ideas, values, and tastes of this period are more in alignment with our own, and it is easy to appreciate and identify with them more than with those of earlier times. Nonetheless, the Middle Ages produced artistic works that not only reveal the culture and thought of that age, but also link strongly with artistic representations from later ages, including our own. Many fundamental ideas…

This course will introduce you to the major events and dynamics of three distinct periods in African history, namely (1) the colonial period, (2) the era of decolonization, and (3) the post-colonial period.  We will survey African history from the “Scramble for Africa” in the late nineteenth century and the establishment of colonial rule to the challenges of independence spanning roughly the last five decades, learning about the major political, economic, and social changes that took place in Africa during these periods. In exploring the dominant trends and patterns in African history during these time periods, we will focus primarily on sub-Saharan Africa.  While the northern African states of Morocco, Algeria, Tunisia, Libya, and Egypt share many of the same experiences with sub-Saharan Africa, the histories between northern Africa and sub-Saharan Africa (as exemplified by the strong Arab influence in northern Africa and the natural dividing line of the Sahara desert) are significantly different to…

This course provides students with a comprehensive introduction to computers. Students will explore a variety of topics in computing, such as the following: the components of a computer, common computer terminology, an introduction to the Internet, computer security and privacy, computer troubleshooting techniques, and steps to maintain the life of your computer. Through readings and videos, students will learn how to fully understand the basics of computer technology.

There is no shortage of quotes in which inspirational business leaders describe the sources of their success. Their reasons are often diverse, but almost everyone comes back to the same thing: people. The people are the company; they create the success. In BUS301: Managing Human Capital, you learned how to find, train, and manage these people. Please keep in mind that there is more to successful business leadership than managing human capital. You must have a suitable structure and culture at your firm in order to achieve success. Imagine the U.S. military; it boasts some of the best-trained soldiers in human history, but that talent would be wasted without a structure designed to appropriately deploy forces. In other words, the military would not be as successful without streamlined organizational behavior. Organizational behavior (OB) is the study of how people interact in organizations. These interactions are governed by a number of factors, including your personal life, the personality of your boss or you…

Inorganic chemistry is a division of chemistry that studies metals, their compounds, and their reactivity.  Metal atoms can be bound to other metal atoms in alloys or metal clusters, to nonmetal elements in crystalline rocks, or to small organic molecules, such as a cyclopentadienyl anion in ferrocene.  These metal atoms can also be part of large biological molecules, as in the case of iron in hemoglobin (oxygen-carrier protein in the blood). In this course, you should not think of metals as you encounter them in your daily life (i.e., when you pick up a steel knife, a can of soda, or a gold necklace).  Instead, you should think of a metal as the central atom or ion in a molecule surrounded by other ions or small molecules called ligands.  Depending on what these ligands are, the metal-containing compound can acquire very different physical and chemical properties.  For example, when magnesium (in its ionic state) is bound to carbonate ions, it forms solid crystalline rocks, as in the dolomite rocks (c…

There is no shortage of quotes in which inspirational business leaders describe the sources of their success. Their reasons are often diverse, but almost everyone comes back to the same thing: people. The people are the company; they create the success. In BUS301: Managing Human Capital, you learned how to find, train, and manage these people. Please keep in mind that there is more to successful business leadership than managing human capital. You must have a suitable structure and culture at your firm in order to achieve success. Imagine the U.S. military; it boasts some of the best-trained soldiers in human history, but that talent would be wasted without a structure designed to appropriately deploy forces. In other words, the military would not be as successful without streamlined organizational behavior. Organizational behavior (OB) is the study of how people interact in organizations. These interactions are governed by a number of factors, including your personal life, the personality of your boss or you…

Effective writing skills are important for you to succeed in your studies at the collegiate level, as well as for your future career. This course is designed to improve your writing ability, which is necessary for entrance into English Composition 1, as well as for your ongoing success in other academic subjects. Pre-College English coursework focuses on active reading and analytic writing, with emphasis on organization, unity, coherence, and adequate development; an introduction to the expository essay; and a review of the rules and conventions of standard written English. In Unit 1, you will learn the basics of active reading and how active reading is paramount in your success as a student and beyond. You will also learn how to identify the main idea in a piece of literature, and how to create a topic sentence that conveys the main idea in your own writing. You will discover the benefits of prewriting, and will learn prewriting techniques that can be used at the onset of any writing project. In Unit 2, you…

This course is designed to provide you with a simple and straightforward introduction to econometrics.  Econometrics is an application of statistical procedures to the testing of hypotheses about economic relationships and to the estimation of parameters.  Regression analysis is the primary procedure commonly used by researchers and managers whether their employments are within the goods or the resources market and/or within the agriculture, the manufacturing, the services, or the information sectors of an economy. Completion of this course in econometrics will help you progress from a student of economics to a practitioner of economics.  By completing this course, you will gain an overview of econometrics, develop your ability to think like an economist, hone your skills building and testing models of consumer and producer behavior, and synthesize the results you find through analyses of data pertaining to market-based economic systems.  In essence, professional economists conduct studies that combine…

The purpose of this course is to provide you with a basic understanding of foreign affairs and introduce you to the fundamental principles of international relations within the political science framework. We will examine the theories of realism and liberalism as they are understood in world politics. These theories will serve as the foundation for more advanced study in the International Relations field of the Political Science major, and will help you develop the critical thinking skills you need in order to analyze conflicts between states. We will also explore issues that relate to the politics of global welfare, such as war, world poverty, disease, trade policy, environmental concerns, human rights, and terrorism. You will learn about the ethics of war, the global distribution of wealth, the concept of the balance of power and its relationship to the causes of war, and what happens in the international system when the balance of power collapses. At the end of this course, you will have a comprehensive…

Molecular biology studies the molecular mechanisms of life, particularly those responsible for genes and their expression.  In the center of molecular biology are the nucleic acids, DNA and RNA, and how they contribute to the synthesis of proteins. After a historical introduction (Unit 1), this course describes the basic types of DNA and RNA structure and the molecular interactions that shape them (Unit 2).  Unit 3 describes how DNA is packaged within the cellular nucleus as chromosomes; in eukaryotes the DNA coils around histones to form nucleosomes that comprise the chromatin of the chromosomes.  The next three units describe the core processes of molecular biology: replication of DNA (Unit 4), transcription of DNA into messenger RNA (Unit 5), and translation of messenger RNA into a protein (Unit 6).  These are followed by modifications of these basic processes: regulation of gene expression (Unit 7), DNA mutation and repair (Unit 8), and DNA recombination and transposition (Unit 9). The course conclu…