Courses tagged with "Taking derivatives" (363)

This course will introduce you to the field of computer science and the fundamentals of computer programming. Introduction to Computer Science I is specifically designed for students with no prior programming experience, and taking this course does not require a background in Computer Science. This course will touch upon a variety of fundamental topics within the field of Computer Science and will use Java, a high-level, portable, and well-constructed computer programming language developed by Sun Microsystems (now Oracle), to demonstrate those principles. We will begin with an overview of the course topics as well as a brief history of software development. We will cover basic object-oriented programming terminology and concepts such as objects, classes, inheritance, and polymorphism, as well as the fundamentals of Java, its primitive data types, relational operators, control statements, exception handling, and file input /output. By the end of the course, you should have a strong understanding of the fundam…

This course serves as an introduction to the Buddhist artistic traditions of South, Southeast, and East Asia, as well as the Himalayas.  It is organized into four units based on the development of Buddhist schools and artistic traditions in Southeast Asia, the Himalayas, and China, Korea, and Japan.  The first unit surveys the core tenets of Buddhism, Buddhist iconography, and early Buddhist art and architecture in India.  The second unit reviews the development of Buddhist art and architecture in Southeast Asia, focusing on the patronage of Theravada and Mahayana Buddhism by rulers in the modern countries of Indonesia, Cambodia, Myanmar, and Thailand.  Unit three examines the particular form of Vajrayana Buddhism and its artistic traditions that developed in the Himalayas.  The final unit traces the spread of Mahayana Buddhist art and architecture into China and later into Korea and Japan via the Silk Roads.  All four units highlight the interaction between Buddhist doctrine, art, and architecture; Bud…

Human physiology is the study of the body’s processes, also known as functions. You already have experience with this subject, because you are a human and perform numerous functions each day to maintain your body’s balance or homeostasis. For example, gas exchange in your lungs provides the body’s cells with adequate oxygen supply needed to survive and carry out metabolic processes. Digestion of food components in your mouth, stomach, and small intestines breaks larger substances into molecules that can be absorbed in the small intestines and used for energy. White blood cells attack foreign bodies, such as bacteria and cells containing viruses to keep you free from infection. As you might expect, an understanding of physiology is paramount if you wish to pursue studies in health care, development, or even behavior. A doctor needs to understand how to relate a urine sample to kidney function. A nurse needs to know the importance of electrocardiogram results and heart activity. A medical laboratory sci…

This course will introduce you to the history of East Asia from the early Yellow River civilizations to the Qing Dynasty in the late eighteenth century.  You will learn about the major political, economic, and social changes that took place in China, Japan, Korea, and Vietnam during this period.  The course will be structured chronologically.  Each unit will include representative primary-source documents that illustrate important overarching political, economic, and social themes, such as the development of a coherent Chinese identity, Chinese imperial aspirations in Vietnam, Korea, and Japan, the expansion of Western influence and trade networks, the Mongol invasions, and the role of Confucianism and Buddhism in East Asian culture.  By the end of the course, you will understand how East Asia transformed from fragmented and warring societies into consolidated imperial states that sought to separate themselves from Western religion and commerce.  The course will present a variety of resources that will d…

This course is the first in a series of four courses under the Job Search “umbrella” that include Job Search Skills, Resume Writing, Interview Skills, and Professional Etiquette.  The Job Search Skills course is intended to give you a solid beginning to this exciting time of self-exploration with finding a job.  Whether you are seeking your first job, wish to take the next step in your existing career, or desire to begin a new career, you will obtain the necessary information about yourself to turn this desire into a successful job search.  If, for example, you think of yourself as a product that you are trying to market to potential employers, you will realize that you can only be successful if you know the product thoroughly and how this product can meet the needs of the consumer (the employer).  This course will guide you to information on how to target jobs and/or careers that are desirable and realistic for you and that fill a need for employers in today’s challenging job market.

The introduction of Business Communication for Success, the textbook used throughout this course, notes that “[E]ffective communication takes preparation, practice, and persistence.  There are many ways to learn communication skills; the school of experience, or ‘hard knocks,’ is one of them.  But in the business environment, a ‘knock’ (or lesson learned) may come at the expense of your credibility through a blown presentation to a client.” Effective communication skills are a prerequisite for succeeding in business.  Communication tools and activities connect people within and beyond the organization in order to establish the business’s place in the corporate community and the social community, and as a result, that communication needs to be consistent, effective, and customized for the business to prosper.  Business Communication for Success provides theories and practical information that represent the heart of this course, while additional resources are included to expand or pose altern…

How might you define, understand, and uphold justice in a global and globalizing world?  That question forms the focal point of this course.  It leads to an examination of whether or not global justice is impossible because of a chaotic and extremely diverse world, or to varying degrees, whether or not justice by its very nature demands a global context and scope of applicability.  Justice, whether considered in abstraction or applied contexts, is fundamentally about human rights.  We will begin this course with an exploration of human rights, a subject that grounds the entire course.  Embedded in the human rights context is an analysis of the political theories of justicethrough a cursory review of some of the seminal texts on global justicealong with an examination of applied and distributive justice focusing on specific issues or problems that have arisen in contemporary global dynamics.  Thus, gender/sexuality, race/ethnicity, genocide, self-determination, environmental concerns, class, and particip…

What is the best way to respond to global nuclear proliferation? Under what circumstances should American soldiers be sent to war? How should U.S. policymakers navigate a global economy? Will a global energy crisis precipitate a third world war? How does history inform contemporary U.S. foreign policymakers, and what issues will challenge future leaders? Such questions can seem beyond the scope of an individual, but they are questions that foreign policy decision makers in the United States must confront. Further, the issues that such questions raise must also be considered by members of the government bureaucracy and any citizen that wishes to be an informed participant in American democracy. The prominent role of the United States and a global leader makes examining and understanding the actions that the U.S. takes toward the rest of the world and how these decisions are made important for both American and citizens of other nations alike. This course will provide history, theory, and perspectives on curren…

This course will introduce you to the history of Latin America from the early 19th century, when many Latin American colonies declared their independence from European rule (predominately Spain and Portugal), to the present day. This course fulfills one of the required six geographical concentration courses for the History major [1]. This course also fulfills one of the requirements for the History minor [2]. In this course, you will learn about the major political, economic, and social changes that took place throughout Latin America during this crucial 200-year period of nation-state formation and engagement with the rest of the world. The units in the course are set up chronologically, but at the same time the units address the development and history of specific Latin American regions, including Mexico, Central America, and South America, and nation-states. Each unit includes representative primary-source documents that illustrate important overarching political, economic, and social themes, such as ef…

One of the best ways to understand the present is to understand the past. Evolutionary Biology is the study of the changes in life forms over time - changes that have occurred over millions of years as well as those that have occurred over just a few decades. In this course, we will look at the various mechanisms of evolution, how these mechanisms work, and how change is measured. The concepts you learn in this course will serve as a foundation for studying fossil records and current classification schemes in biology. We will begin the course by reviewing the evolutionary concepts of selection and speciation. We will then learn to measure evolutionary change through comparisons with the Hardy-Weinberg Equilibrium, to understand the process of change through Game Theory, and to interpret and classify changes by creating phylogenies. The course will wrap up with a look at the history of life according to the fossil record and a discussion of the broad range of life forms as they are currently classified. At the…

Economics is traditionally divided into two parts: microeconomics and macroeconomics.  The purpose of this course is to provide you with a fundamental understanding of the principles of macroeconomics.  Macroeconomists study how a country’s economy works and try to determine the best choices to improve the overall wellbeing of a nation.  Typical topics include inflation (the overall level of prices), employment, fiscal policy (government taxing and spending), and money and banking (interest rates and lending policies).  Individuals and firms need to consider how macroeconomic events will affect their own prosperity.  To better define macroeconomics, consider its distinction from microeconomics.  Imagine you are attempting to figure out how the price of a certain good (say, bread) has been determined.  Microeconomics would focus on how the supply of and the demand for bread determine its prices.  It would examine factors like the input prices and the consumer's demand in order to determine the curren…

This course is the second installment of Single-Variable Calculus.  In Part I (MA101) [1], we studied limits, derivatives, and basic integrals as a means to understand the behavior of functions.  In this course (Part II), we will extend our differentiation and integration abilities and apply the techniques we have learned. Additional integration techniques, in particular, are a major part of the course.  In Part I, we learned how to integrate by various formulas and by reversing the chain rule through the technique of substitution.  In Part II, we will learn some clever uses of substitution, how to reverse the product rule for differentiation through a technique called integration by parts, and how to rewrite trigonometric and rational integrands that look impossible into simpler forms.  Series, while a major topic in their own right, also serve to extend our integration reach: they culminate in an application that lets you integrate almost any function you’d like. Integration allows us to calculat…

Software engineering is a discipline that allows us to apply engineering and computer science concepts in the development and maintenance of reliable, usable, and dependable software. The concept of software engineering was first discussed at the 1968 NATO Science Committee in Germany. Today, many practitioners still debate over the term software engineering, often arguing that this discipline does not meet the criteria of engineering; rather, it should be called software development. There are several areas to focus on within software engineering, such as design, development, testing, maintenance, and management. Software development outside of the classroom is a very complex process, mostly because real-world software is much larger and more complex. The purpose of this course is to present software engineering as a body of knowledge. The course is designed to present software engineering concepts and principles in parallel with the software development life cycle. The course will begin with an introducti…

What images come to mind when you think of the term professional?  Do you picture an executive in a fancy suit strutting into a boardroom?  Or, perhaps you envision a supervisor walking among cubicles and issuing orders to employees.  While it is true that professionalism encompasses how we present ourselves outwardly, the meaning of the term goes far beyond appearances.  Professionalism also encompasses inward characteristics and attitudes that affect how others in the workplace perceive us.  The professional world can be full of challenging situations, including conflicting personalities, miscommunication, and cultural differences.  In this course, you will learn about typical workplace etiquette protocols, communication standards, and cultural awareness strategies in order to navigate these common obstacles as smoothly as possible. By this point in Saylor’s Job Search Skills courses in the Professional Development Program, you have started the process of honing your professional image by producin…

“Everything is numbers.”  This phrase was uttered by the lead character, Dr. Charlie Epps, on the hit television show “NUMB3RS.”  If everything has a mathematical underpinning, then it follows that everything is somehow mathematically connected, even if it is only in some odd, “six degrees of separation (or Kevin Bacon)” kind of way. Geometry is the study of space (for now, mainly two-dimensional, with some three-dimensional thrown in) and the relationships of objects contained inside.  It is one of the more relatable math courses, because it often answers that age-old question, “When am I ever going to use this in real life?”  Look around you right now.  Do you see any triangles?  Can you spot any circles?  Do you see any books that look like they are twice the size of other books?  Does your wall have paint on it? In geometry, you will explore the objects that make up our universe.  Most people never give a second thought to how things are constructed, but there are geometric ru…

Sociology is the scientific study of society. As such, it closely examines human interactions and cultural phenomena, including topics like inequality and urbanization and the effects of these on groups and individuals. To do their work, sociologists rely on a philosophy of science called positivism, which you will study in Unit 1. The philosophy of positivism asserts that authentic knowledge, or truth, can only be gained through empirical observations. In other words, we need to be able to experience our observations or use scientific measurement with a form of sensory experience, as opposed to using faith-based or emotional experiences. Another central concept to sociology is that of the sociological imagination. The sociological imagination allows sociologists to make connections between personal experiences and larger social issues. For example, did you know the U.S. has the highest rate of teen pregnancy in the industrialized world? In order to understand this trend, sociologists use scientific methods…

Cancer has existed among humans since humans themselves began and has been a subject of urgent interest from very early in our history.  What we call “cancer” consists of a number of different diseases with one fundamental similarity: they are all initiated by the unchecked proliferation and growth of cells in which the pathways and systems that normally control cell division and mortality are absent.  Cancer-cell abnormalities are often due to mutations of the genes that control the cell cycle and cell growth.  To understand cancer cells, then, one must first understand the processes that regulate normal cell cycles. This course will cover the origins of cancer and the genetic and cellular basis for cancer.  It will examine the factors that have been implicated in triggering cancers; the intercellular interactions involved in cancer proliferation; current treatments for cancer and how these are designed; and future research and treatment directions for cancer therapy.

Advanced Inorganic Chemistry is designed to give you the knowledge to explain everyday phenomena of inorganic complexes. You will study the various aspects of their physical and chemical properties and learn how to determine the practical applications that these complexes can have in industrial, analytical, and medicinal chemistry. This course will begin with the discussion of symmetry and point group theory and its applications in the field of vibrational spectroscopy. We will then study molecular orbital (MO) theory specifically applied to metal organic complexes. MO theory will be critical in understanding the following: 1) the relative position of ligands in the spectrochemical series, 2) the electronic transitions and related selection rules, and 3) the application of spectroscopy of metals. The course will then move onto the study of the oxidation states of transition metals and their redox properties. A firm grasp of the chemical redox properties of transition metals is critical to understanding thei…

The purpose of this course is to systematically examine the elements and factors which result in an effective speech.  The textbook and associated lectures present an element-by-element examination of the essentials of public speaking while also identifying traits of the individual speaker and how they impact preparation and presentation.  In addition to these resources, a comprehensive series of brief videos demonstrate specific, performance-oriented aspects of public speaking.  Tying each of these course elements together are the themes of information and ethics, emphasized in each resource because they are becoming increasingly important to all communicators.  For example, the textbook constantly returns to the discussion of society’s ever-increasing access to information and the demands on the individual to use it effectively and ethically.  The authors note that “the New York Times has more information in one week than individuals in the 1800s would encounter in a lifetime,” which illustrates…

When we use programming for problem-solving purposes, data must be stored in certain forms, or Data Structures, so that operations on that data will yield a specific type of output.  Imagine, for example, that a non-profit is having trouble staying afloat and needs an increase in donation.  It decides it wants to keep track of its donors in a program in order to figure out who is contributing and why.  You would first need to define the properties that would define those donors: name, address, amount donated, date of donation, and so on.  Then, when the non-profit wants to determine how to best reach out to their donors, it can create a model of the average donor that contributes to the non-profitsay, for example, based on size of gift and locationso that it can better determine who is most receptive to its mission.  In this case, size of gift and location are the “data” of the donor model.  If the non-profit were to use this model, it would be identifying real donors by first generating an abstract…