Online courses directory (19947)

Precalculus II continues the in-depth study of functions addressed in Precalculus I by adding the trigonometric functions to your function toolkit. In this course, you will cover families of trigonometric functions, as well as their inverses, properties, graphs, and applications. Additionally, you will study trigonometric equations and identities, the laws of sines and cosines, polar coordinates and graphs, parametric equations and elementary vector operations. You might be curious how the study of trigonometry, or “trig,” as it is more often referred to, came about and why it is important to your studies still. Trigonometry, from the Greek for “triangle measure,” studies the relationships between the angles of a triangle and its sides and defines the trigonometric functions used to describe those relationships. Trigonometric functions are particularly useful when describing cyclical phenomena and have applications in numerous fields, including astronomy, navigation, music theory, physics, chemistry…

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…

Students of political science should understand how ethics, culture, religion, and morality help to shape public debate, policymaking, and policy execution. This course will provide you with an overview of the role that ethical, cultural, religious, and moral principles play in the formulation and execution of public policy by lawmakers and other public officials. After studying the foundational theories of ethics and morality in politics, you will review arguments about existing issues in domestic and international policy, studying each dilemma from a variety of perspectives.  Common themes seen in ethics debates include justice, equality, fairness, individual liberty, free enterprise, charity, fundamental human rights, and minimizing harm to others. These themes are integrated into various decision-making models, such as the Utilitarian Approach, the Fairness and Justice Approach, and the Rights Approach. In the execution of public policy, it is impossible to do no harm to others; often, public policy…

The study of United States intelligence and national security operations is an analysis of how the various branches of government work together and, as a check upon each other, how they work to protect and promote American interests at home and abroad. The purpose of this course is to provide you with an overview of national security policy analysis and the United States intelligence community. As you progress through this course, you will learn about strategic thought and strategy formulation, develop the ability to assess national security issues and threats, and cultivate an understanding of the political and military institutions involved in the formulation and execution of national security policy through diplomacy, intelligence operations, and military force. This course will examine problems and issues regarding United States national security policy. A large section of the course will deal with the major actors and institutions involved in making and creating national security policy and the intel…

Developmental psychology concerns itself with the changes (psychological and otherwise) that occur as a result of our physical and mental maturation. Typically, “development” refers to the systematic changes that take place between our conception and death. While this definition may seem quite broad, it will serve as a good starting point in our quest to understand the field of developmental psychology. The first thing we must realize as developmental psychologists is that our change is systematic. This means that the process by which we grow and mature over time is not defined by random, isolated events but by orderly and relatively long-term patterns. This also means that while individuals themselves may differ quite a bit, the developmental patterns that they undergo are similar. These concepts are crucial in that they allow us, as psychologists, to study the way in which people develop and to make predictions about the future based on that development. Developmental psychologists study both continuiti…

This course provides an introduction to the history of technology for the Science, Technology, and Society (STS) major. The course surveys major technological developments from ancient to modern times with particular attention to social, political, and cultural contexts in Europe and the United States. You will also think critically about the theory of technological determinism, the ways in which technology has defined “progress” and “civilization”, and the major ethical considerations surrounding today’s technological decisions. This course begins with discussions of the promotion of technology in centralized states of the ancient and medieval worlds: the Roman Empire, Song and Ming China, and the Islamic Abbasid Empire. After a period of relative decline, the states of Western Europe centralized and flourished once again, having benefited from the westward transmission of key ideas and technologies from the East. The focus of the course then shifts to the West, to the technologies of the Renai…

The main objective of this course is to explore and critique the role of an open pedagogy in education. Participants will develop an understanding of the concept of open and explore its application in, primarily, the context of educational environments as well as use and assess emerging learning technologies and social media. Participants will also learn about a variety of other initiatives and projects employing an open pedagogy, learn how to both identify and create open educational resources and develop a familiarity with the legal and policy considerations (e.g. copyright) surrounding the use and creation of open content. Through reading, writing, and sharing these writings, participants will make important contributions to the ongoing and exciting conversation around the future of teaching and learning. Course Level: Graduate This Work, EDT 585: Open Pedagogy

The Patients and Populations sequence focuses on genetics, principles of disease, epidemiology, information gathering and assessment. The sequence features two modules: Medical Genetics and Medical Decision-Making. In this module, students will: Construct well-defined clinical questions from case scenarios, designed to improve general knowledge about a topic, and to help make decisions regarding the use of diagnostic tests. Understand the differences between foreground and background questions and the implications for the types of information resources best suited to answer these questions. Become familiar with the U-M information environment, and learn to effectively search several core biomedical resources to answer specific clinical questions. Develop an understanding of the basic foundations of biostatistics, research design and epidemiology to begin to apply scientific data to the understanding of clinical conditions. Effectively and logically apply probabilistic reasoning to diagnostic questions that arise in patient case scenarios. Level: First Year Medical Students Unless otherwise noted, this Work, Patients and Populations: Medical Decision-Making, by Rajesh Mangrulkar, Stephen Gruber is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike license.

The topics in this course cover all the essential concepts from the Project Management Institute (PMI)'s book 'A Guide to the Project Management Body of Knowledge (PMBOK) Guide, Fourth Edition'. The course teaches topics ranging from beginner-thru-advanced level Project Management concepts. In the course students will learn about: projects versus operations, choosing a team, scheduling, budgeting, controlling cost, measuring and controlling project performance, and much more. Students who are preparing for the PMI Certification (PMP or CAPM) can use this course to help fulfill the training requirement. If you already have your PMP certification, you can also use this toward your CCRs (Continuing Certification Requirements). It will count as 20 hours of Project Planning and 15 hours of Project Controlling.

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Videos on a first course in calculus (Differential Calculus).

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This course provides a step-by-step framework to help you write powerful college essays from your personal experience.