Online courses directory (19947)

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 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…

This course is an introduction to linear algebra.  It has been argued that linear algebra constitutes half of all mathematics.  Whether or not everyone would agree with that, it is certainly true that practically every modern technology relies on linear algebra to simplify the computations required for Internet searches, 3-D animation, coordination of safety systems, financial trading, air traffic control, and everything in between. Linear algebra can be viewed either as the study of linear equations or as the study of vectors.  It is tied to analytic geometry; practically speaking, this means that almost every fact you will learn in this course has a picture associated with it.  Learning to connect the facts with their geometric interpretation will be very useful for you. The book which is used in the course focuses both on the theoretical aspects as well as the applied aspects of linear algebra.  As a result, you will be able to learn the geometric interpretations of many of the algebraic concepts…

In this course, you will look at the properties behind the basic concepts of probability and statistics and focus on applications of statistical knowledge.  You will learn about how statistics and probability work together.  The subject of statistics involves the study of methods for collecting, summarizing, and interpreting data.  Statistics formalizes the process of making decisions, and this course is designed to help you use statistical literacy to make better decisions.  Note that this course has applications for the natural sciences, economics, computer science, finance, psychology, sociology, criminology, and many other fields. We read data in articles and reports every day.  After finishing this course, you should be comfortable evaluating an author's use of data.  You will be able to extract information from articles and display that information effectively.  You will also be able to understand the basics of how to draw statistical conclusions. This course will begin with descriptive statistic…

Because we have compiler programs, software developers often take the process of compilation for granted.  However, as a software developer, you should cultivate a solid understanding of how compilers work in order to develop the strongest code possible and fully understand its underlying language.  In addition, the compilation process comprises techniques that are applicable to the development of many software applications.  As such, this course will introduce you to the compilation process, present foundational topics on formal languages and outline each of the essential compiler steps: scanning, parsing, translation and semantic analysis, code generation, and optimization.  By the end of the class, you will have a strong understanding of what it means to compile a program, what happens in the process of translating a higher-level language into a lower-level language, and the applicability of the steps of the compilation process to other applications.

The World Wide Web (WWW) has become the primary means by which we conduct searches and perform billing transactionsevents that can only occur with the support of specific applications.  The purpose of this course is to introduce you to the design and development of such applications.  This course will expose you to the basic fundamentals of the Internet and Web protocols, the different architectures that Web-related applications use, and the programming languages that enable the development of Web applications, placing particular emphasis on JavaScript, HTML, XML, AJAX, and Java Server Pages (JSP).  We will also cover matters of security and reliability in the development of web applications via the use of transport encryption and authentication.

This course focuses on the fundamentals of information security that are used in protecting both the information present in computer storage as well as information traveling over computer networks. Interest in information security has been spurred by the pervasive use of computer-based applications such as information systems, databases, and the Internet. Information security has also emerged as a national goal in the United States and in other countries with national defense and homeland security implications. Information security is enabled through securing data, computers, and networks. In this course, we will look into such topics as fundamentals of information security, computer security technology and principles, access control mechanisms, cryptography algorithms, software security, physical security, and security management and risk assessment. By the end of this course, you will be able to describe major information security issues and trends, and advise an individual seeking to protect his or her dat…

User dependency on the Internet increases every day; nowadays, everyday tasks like paying bills, communicating with others, and applying for jobs are all routinely carried out via the Internet.  While the Internet represents a huge network, it is meaningless without the applications that it supports.  These applications enable user interaction and facilitate everyday activities.  In this course, we will learn about the design and implementation of network-based applications, focusing on Object-Oriented Programming and programming techniques both at the application layer and the transport layer of the TCP/IP protocol stack.  Additional concepts covered include text transport (moving text from one computer to another over the network), data transport, object transport, remote function calls, and, finally, class transport.  You will approach these concepts from an Object-Oriented point of view, learning to implement design patterns in your code in order to ensure software reusability (a highly desirable fea…

This course will present advanced topics in Artificial Intelligence (AI).  We will begin by defining the term “software agent” and discussing how software agents differ from programs in general.  We will then take a look at those problems in the field of AI that tend to receive the most attention.  Different researchers approach these problems differently.  In this course, we will focus on how to build and search graph data structures needed to create software agents, an approach that you will find useful for solving many problems in AI.  We will also learn to “break down” larger problems into a number of more specific, manageable sub-problems. In the latter portion of this course, we will review the study of logic and conceptualize the differences between propositional logic, first-order logic, fuzzy logic, and default logic.  After learning about statistical tools commonly used in AI and about the basic symbol system used to represent knowledge, we will focus on artificial neural network and…

While CS403: Introduction to Modern Database Systems [1] covered many of the core concepts behind database management systems, there are many other considerations that should be addressed if you intend to pursue a career in this field.  This course will expand upon what you learned about SQL in CS403 and introduce various other advanced topics, including query optimization, concurrency, data warehouses, object-oriented extensions, and XML.  While CS403 introduced the basics of database management systems, the additional topics covered in this course will help you become more proficient in writing queries and will expand your knowledge base so that you have a better understanding of the field.  By the end of this course, you should have a solid grasp on data warehouses and XML, which will prove to be invaluable as you progress further in your Computer Science studies. [1] http://www.saylor.org/courses/cs403/…

Technology continues to evolve and provide us with increasingly powerful mobile devices.  As a result, applications that can run on a browser must also be written such that they are compatible with mobile devices, the majority of which are now web-enabled.  Meanwhile, there is an increasing demand for native applications that can be downloaded to and run on mobile devices.  This course will address these trends, teaching you to think about the unique design and deployment issues that must be taken into consideration when developing applications for mobile devices. This course will expand upon what has been covered in CS305: Web Development [1].  We will specifically look at the tools used to design mobile applications.  We will learn about mobile platforms, mobile browsers, native applications, and best practices in terms of test usability. [1] http://www.saylor.org/courses/cs305/…

The purpose of this course is to provide you with a basic understanding of the principles of microeconomics.  At its core, the study of economics deals with the choices and decisions that have to be made in order to manage scarce resources available to us.  Microeconomics is the branch of economics that pertains to decisions made at the individual level, i.e. by individual consumers or individual firms, after evaluating resources, costs, and tradeoffs.  When we talk about “the economy,” then, we are referring to the marketplace or system in which these choices interact with one another.  In this course, we will learn how and why these decisions are made and how they affect one another in the economy. Each of the following units has been designed as a building block, where the concepts you learn in one unit will enable you to understand the material you discover in the next.  By the end of this course, you will have a strong grasp on the major issues that face microeconomists, including consumer and…

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 has been determined.  Microeconomics would focus on how supply and demand determine prices, while macroeconomics would study the determination of prices at all levels.  To test particular policies and ideas, or to find out the causes of…

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…

In this course, you will look at the properties behind the basic concepts of probability and statistics and focus on applications of statistical knowledge.  You will learn about how statistics and probability work together.  The subject of statistics involves the study of methods for collecting, summarizing, and interpreting data.  Statistics formalizes the process of making decisions, and this course is designed to help you use statistical literacy to make better decisions.  Note that this course has applications for the natural sciences, economics, computer science, finance, psychology, sociology, criminology, and many other fields. We read data in articles and reports every day.  After finishing this course, you should be comfortable evaluating an author's use of data.  You will be able to extract information from articles and display that information effectively.  You will also be able to understand the basics of how to draw statistical conclusions. This course will begin with descriptive statistic…

Math for Economists will help you assemble a toolkit of skills and techniques to solve fundamental problems in both macroeconomics and microeconomics.  The material covers both precalculus and calculus concepts and should help you identify the best approach to solving problems.  For example, an economist may be called upon to determine the right mix allocation of capital to a production process.  The tools in this course will help you evaluate the options and select from the best alternatives.  Advanced courses in economics typically utilize mathematical techniques beyond basic calculus; so, gaining practice in fundamental skills can serve as a good basis for further study.  Of note, this course applies precalculus and calculus; this is different from “applied math,” which economists typically use to refer to probability and statistics. This course begins with a survey of basic optimization tools and then applies them to solve problems over several periods in time.  These optimization tools descri…

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…

In this course, you will build on and apply what you learned in the introductory macroeconomics course (ECON102 [1]).   You will use the concepts of output, unemployment, inflation, consumption, and investment to study the dynamics of an economy at a more advanced level.   For example, now that you understand the relationship between supply and demand in general terms, you will be asked to examine the effects that short-run and long-run price changes have on full employment and output.  As the course progresses, you will gain a better appreciation for how policy shifts and changes in one sector impact the rest of the macroeconomy (whether the impacts are intended or unintended).  You will also examine the causes of inflation and depression, and discuss various approaches to responding to them.  By the end of this course, you should be able to think critically about the economy and develop your own unique perspective on various issues. Remember that macroeconomics attempts to explain the role of gover…

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…

As a student of economics, you must study the history of economic thought to understand why individuals, firms, and governments make certain choices. Economists try to answer three basic questions: what to produce, how to produce it, and for whom. The history of economic thought represents a wide diversity of theories within the discipline, but all economists address these three basic questions. As you learn more about the history of economic thought, you may realize that policies presented as great innovations today are founded upon centuries-old writings. You will learn that without a clear sense of the discussions and debates that took place among economists of the past, the modern economist lacks a complete perspective. By examining the history of economic thought, you will be able to categorize and classify thoughts and ideas and will begin to understand how to think like an economist. Economics is both a social science and a business subject; accordingly, economic thinking affects everything from art t…